2. Which of the following ordered pairs is a solution to the system of linear inequalities given below?
{2x³
(2y ≥-4x + 4
(x-2> 2y
I.(-2, 1)
II.(0, -2)
III.(4,-2)
IV. (1, 2)

Answers

Answer 1

The solutions to the given Inequalities are Option II. (0, -2) and Option IV. (1, 2).

What are inequalities:  

In mathematics, inequalities describe the connection between two non-equal numbers. Equal does not imply inequality.

Various types of inequalities are used to compare the values and determine whether they are smaller than or greater than.

It indicates that the phrase on the left should be either larger or smaller than that of the expression on the right, or vice versa.

Here we have

2y ≥ -4x + 4 --- (1)

x - 2 > 2y ---- (2)

   

Substitute each given point and find for which both equations will be satisfied

For Option I. (-2, 1)

(1) => 2(1) ≥ -4(-2) + 4

=> 2 ≥ - 4      [ Which is true ]

(2) => -2 - 2 > 2(1)

=> - 4 > 2       [ which is not true ]

For Option II. (0, -2)

(1) => 2(-2) ≥ -4(0) + 4

=> -4  ≥ 4      [ Which is true ]

(2) => 0 - 2 > 2(-2)

=> - 2 > - 4       [ which is true ]

For option III. (4,-2)

(1) => 2(-2) ≥ -4(4) + 4

=> - 4  ≥ - 12      [ Which is true ]

(2) => 4 - 2 > 2(1)

=> 2 > 2       [ which is not true ]

For option IV. (1, 2)

(1) => 2(2) ≥ -4(1) + 4

=> 4 ≥ 0      [ Which is true ]

(2) => 1 - 2 > 2(2)

=> - 1 > 4       [ which is true ]

From above calculations

The solutions to the given Inequalities are Option II. (0, -2) and Option IV. (1, 2).

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Related Questions

Write a quadratic function in standard form whose graph passes through (-5,0), (0,-8), and (4,0)

Answers

The quadratic equation y = (2 / 5) · x² + (2 / 5) · x - 8 contains the points (- 5, 0), (0, - 8) and (4, 0).

How to derive the equation of a parabola

In this problem we find the case of a parabola, parabolae are defined by quadratic equations of the form:

y = a · x² + b · x + c

Where:

a, b, c - Real coefficients.x - Independent variable.y - Dependent variable.

First, write the points associated with the parabola:

(x₁, y₁) = (- 5, 0), (x₂, y₂) = (0, - 8), (x₃, y₃) = (4, 0)

Second, create a system of linear equations:

25 · a - 5 · b + c = 0

c = - 8

16 · a + 4 · b + c = 0

Third, resolve the system by numerical methods:

(a, b, c) = (2 / 5, 2 / 5, - 8)

Fourth, write the resulting quadratic equation:

y = (2 / 5) · x² + (2 / 5) · x - 8

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The National Weather Service says that the mean daily high temperature for October in a large Midwestern city is 56 degree F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean. is actually lower than 56 degree F. A simple of mean daily high temperatures for October over past 37 years yields x = 54 degree F. Assume that the population standard deviation is 5.6 degree F. Perform the hypothesis test at the 1% significance level.

Answers

The result of the hypothesis test is that we cannot say if the mean is lower than 56.

Hypothesis are ,

H0 : ц = ц 1

H1 : ц ≠ ц 1

It is to be tested whether the mean daily high temperature for October in a large Midwestern city is actually lower than

56 F or not.

Then the test statistic is equal to minus 2.64610 degrees of tritomas degree of to equal to 1 equal to 29 point,

The appropriate conditions to be sufficed before performing the one-sample z-test are:

(i) The measurement of the sample drawn for the observation must be extensive. The desired threshold is 30.

(ii) Each observation should have an equal opportunity of getting selected in the sample.

(iii) The data need to be normal.

On performing the analysis we conclude that  it can not be said with 99 % confidence that the true mean temp is less than 56 F.

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Match the values with the statistical measures for these data points. 34,37,39,32,48,45,53,62,58,61,60,41

Answers

The median, lower quartile, maximum upper and minimum quartile are

Median = 46.5,Minimum = 32, Maximum = 62, Lower quartile = 38, Upper quartile = 59

How to solve for median and quartiles?

The given data for the computations are

32  34  37  39  41  45  48  53  58  60  61  62

We should know that the median is the middle value when the values are arranged in ascending or descending order of magnitude. There are 12 sets of numbers, the median is the mean of the two middle numbers

(45+48)/2=93/2 = 46.5

From the set of numbers, the maximum is the largest number while the minimum is the smallest number.  These numbers are 62 and 32 respectively

The lower and upper quartiles,  when the set of data is divided into 4 parts, The first part is the lower quartile, the middle is the median and the third is the upper quartile

32  34  37 |  39  41  45 | 48  53  58 | 60  61  62

The lower quartile is given thus

37 + 39 = 76

76 ÷ 2 = 38

The upper quartile is given thus

58 + 60 = 118

118 ÷ 2 = 59

In conclusion, the Median = 46.5, Minimum = 32, Maximum = 62, Lower quartile = 38, Upper quartile = 59

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Complete question:

what is the median,lower quartile,maximum,upper quartile,and the minimum of 34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41

The statistical measures for the data points are

Mean= 47.5Median: 46.5Mode: No Mode Range:  30

What are statistical measures?

Generally, Statistical measures are techniques or formulas used to describe and summarize data in a meaningful way. They provide a way to quantitatively summarize and interpret data and can help to identify patterns, trends, and relationships in the data. Some common statistical measures include:

Mean: This is the average of a set of numbers, calculated by adding all the numbers together and dividing by the total number of items.

Mean=(34+37+39+32+48+45+53+62+58+61+60+41)/12

Mean= 47.5

Median: This is the middle value in a set of numbers when the numbers are arranged in order from least to greatest.

Median= (45+ 48)/2

Median=46.5

Mode: This is the most frequently occurring value in a set of numbers.

There are no numbers that occurred more than once, so no mode

Range: This is the difference between the highest and lowest values in a set of numbers.

Range 62-32

Range =30

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Digital watches of a certain brand are advertised to have an average lifetime of 800 days. A customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised. A random sample of 50 watches is obtained from the manufacturer and the lifetime of each watch is recorded. In particular, one obtains the sample mean
X
ˉ
=738.44
days and sample variance
S 2
=1459.24
days squared from this sample of digital watches. 1. Explain why the test statistic
ζ= S/ 50

X
ˉ
−μ

has a normal distribution despite the experimenter being unaware of the distribution of the population of digital watches. 2. Devise an appropriate hypothesis test to determine whether the given customer is willing to purchase a digital watch. 3. Conduct the hypothesis test of 2 . at a significance level of
α=0.05

Answers

(1) The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.

(2) There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.

Test the hypothesis that the client is prepared to buy a watch unless it can be shown that the average lifespan is shorter than what is claimed using a significance level of α=0.05.

Given that,

Sample size (n)=50

Sample mean (x−)=738.44

Sample standard deviation (S)=38.2 where (S)2=1,459.24

The null and alternative hypothesis are,

H(0): μ≥800

vs

H(1): μ<800

(1) In the given question we have to explain why the test statistic has a normal distribution despite the experimenter being unaware of the distribution of the population of digital watches.

The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.

(2) In the given question we have to devise an appropriate hypothesis test to determine whether the given customer is willing to purchase a digital watch.

Then test statistic becomes,

t = x−μ/(s/√n)

t = 738.44−800/(38.2/√50)

t = −61.56/5.40229

t = −11.40

Here the test is one tailed (left tailed) at α=0.05

Then degrees of freedom=(n-1)=(50−1)=49

Thus P-value becomes,

P-value = <0.00001

The P-value is less than or equal to α=0.05

Then we reject the null hypothesis H(0).

We use excel command to find the P-value we get,

=T.DIST( x, deg _freedom, TRUE)

=T.DIST(-11.40 , 49,TRUE)

=<0.00001

There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.

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The right question is given below:

Franco said 9.37×0.1=93.7 is he correct

Answers

Answer:

No, Franco's calculation is incorrect.

Step-by-step explanation:

No, Franco's calculation is incorrect. The correct answer is 9.37 x 0.1 = 0.937.

When multiplying a decimal number by a decimal number, the decimal point in the product should be placed so that the number of decimal places in the product is equal to the sum of the number of decimal places in the factors. In this case, the number 9.37 has two decimal places, and the number 0.1 has one decimal place. Therefore, the product of 9.37 x 0.1 should have a total of 2 + 1 = 3 decimal places.

To obtain the correct answer, we need to multiply 9.37 x 0.1 using standard long multiplication:

Copy code

9.37

x 0.1

0.937

Therefore, the correct answer is 0.937, not 93.7 as Franco stated.

Answer:

No. This is incorrect.

Step-by-step explanation:

9.37 × 1 = 9.37

Times by 1 the number stays the same.

If you multiply by 0.1 the decimal will move one place and the 9.37 should get smaller! The sentence in the problem shows 93.7 which is bigger.

9.37 × 10 = 93.7

9.37 × 0.1 = 0.937

PLS HEEEELP 90 POINTS
A skydiver jumps from a plane from an altitude of 8000 ft. An observer on the ground measures the skydiver’s
altitude at time t = 0 to be 7500 ft. The linear graph shows the skydiver’s altitude at various times during her
descent.
(a) Identify the y-intercept. How does the y-intercept relate to the skydiver’s position relative to the
ground? Explain.
(b) Determine the slope of the line. According to the slope, is the skydiver ascending or descending and
what is the rate of ascent or descent? Explain.
(c) Identify the x-intercept. What does the x-intercept mean in this context? Explain.
(d) Write an equation for the line

Answers

a) The y-intercept is 7500 ft. It is related to skydiver’s position relative to the ground as the sum of both distance must be equal to 7500 ft.

b) The slope of the line is -2500 ft/min and it denotes that the skydiver is descending.

c) The x-intercept is; 3 seconds

d) An equation for the line is; y = -2500x + 7500

How to find the equation of the line?

a) In a distance time graph, the y-intercept is the point at which the time (t) is equal to zero.

We are told that  at time t = 0, the altitude is 7500 ft. Thus;

y-intercept = 7500. It is related to skydiver’s position relative to the ground as the sum of both distance must be equal to 7500.

b) Slope;

m = -7500/3

m = -2500.

Thus, as slope is in negative, it means that the skydiver is descending

c) x-intercept is the point at which y = 0 and as such as seen in the graph online;

x-intercept = 3 seconds

d) Equation in slope-intercept form is given by the general form;

y = mx + c

where;

m is slope

c is y-intercept

Thus, in this question, we have;

y = -2500x + 7500

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−4x+4≥2(6−x) step-by-step explanation please and thank you

Answers

Refer to the photo taken. Would appreciate a rate :)

Help me with this math please. Help me quick please.

Answers

Answer:

f(x) = 5/2x

Step-by-step explanation:

The parent function for the given equation is f(x) = 1/2x. When this function is vertically stretched by a factor of 5, the resulting function will be f(x) = 5/2x. This means that for any value of x, the output of the transformed function will be 5 times greater than the output of the parent function.

For example, if x = 2, then f(x) = 1/2 * 2 = 1 for the parent function, and f(x) = 5/2 * 2 = 5 for the transformed function. Similarly, if x = 3, then f(x) = 1/2 * 3 = 1.5 for the parent function, and f(x) = 5/2 * 3 = 7.5 for the transformed function.

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show that if \lamdba is in the point spectrum, the the conjugate is in the union of the point and residual spectra of the adjoint

Answers

We are given that [tex]\overline\lambda[/tex] is in the point spectrum and we are to prove that the conjugate is the union of the point and residual spectra of the adjoint.

If [tex]\overline\lambda[/tex] ∈ σp(T∗), then T∗v = [tex]\overline\lambda[/tex]v for some v ∈ D(T∗).

Hence, for all u ∈ D(T) we have -

⟨Tu,v⟩ = ⟨u,T∗v⟩ = ⟨u,[tex]\overline\lambda[/tex]⟩ = λ⟨u,v⟩,

⟨(T−λ)u,v⟩ = 0, for all u ∈ D(T)

If λ ∈ σp(T∗), then T∗v = [tex]\overline\lambda[/tex]v for some v∈D(T∗).

Hence, for all u∈D(T), we have ⟨Tu,v⟩=⟨u,T∗v⟩=⟨u,[tex]\overline\lambda[/tex]v⟩=λ⟨u,v⟩,

and therefore,

⟨(T−λ)u,v⟩=0, for all u∈D(T)

i.e. the range of T−λ is not dense and we will have λ ∈ σr(T) ∪ σp(T).

Hence, proved.

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The balance on Howard Gessner’s American Express card on August 1 is $543.27. In August, he charges an additional $201.25 of purchases, has returns of $89.22, and makes a payment of $300. If the finance charges are calculated at 1.5% per month on the unpaid balance, find the balance on September 1.

Answers

Mathematically, the balance on Howard Gessner's American Express card on September 1 is $360.63.

How do we determine the balance?

The ending balance on September 1 is determined using the mathematical operations of addition, subtraction, and multiplication (for the finance charge).

The finance charge is the interest and other fees paid for borrowing credit.

The finance charge is always based on a percentage, called the annual or monthly percentage rate (APR or MPR).

In this situation, the monthly percentage rate is applied to the unpaid balance (multiplication) at the end of August, to determine the finance charge, which is added to the unpaid balance to compute the September 1 balance.

August 1 Balance =        $543.27

Purchases                        201.25

Returns                            (89.22)

Payments                      (300.00)

Unpaid balance           $355.30

Finance charge                  5.33 ($355.30 x 1.5%)

September 1 Balance $360.63

Thus, using mathematical operations, the balance on September 1 is $360.63.

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if a crew of six workers completes a job in 15 hours how long will it take 10 workers to complete the same job

Answers

As no. of crews and time are inversely proportional 10 workers will finish the job in 10 hours.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, A crew of six workers completes a job in 15 hours.

We know more crew will finish the job in less no. of hours so they are inversely proportional.

So, C = k/t.

6 = k/15.

k = 90.

Now, C = 10 hence,

10 = 90/t.

t = 90/10.

t = 10 hours.

So, They can finish in 10 hours.

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write x^2+10x+12 in the form (x+a)^2-b

Answers

Answer:

(x+5)^2 - 13

Step-by-step explanation:

If you work out the target expression, you get:

(x+a)^2-b = (x+a)(x+a)-b = x^2 + 2ax + a^2 - b

so 2ax must be 10x, hence a = 5

also a^2 - b must be 12, and with a being 5, this means b = 25-12 = 13

Answer:

[tex](x+5)^2 - 13[/tex]

Step-by-step explanation:

In order to convert the given quadratic [tex]x^2 + 10x + 12[/tex] into the form [tex](x+a)^2 - b[/tex], you need to put the given quadratic into vertex form.

⭐What is vertex form?

a way you can rewrite a quadratic equation[tex](x-h)^2 + k[/tex]-(-h) = x-value of the vertex+k = y-value of the vertex

⭐How do you rewrite a quadratic in vertex form?

you partially complete the square

I will demonstrate how to "partially complete the square" with the given quadratic.

Given: [tex]x^2 + 10x + 12 = 0[/tex]

Subtract the constant from the LHS and RHS.

[tex]x^2 + 10x = -12[/tex]

Divide the coefficient of the middle term by 2, square that result, and add it to the LHS and RHS.

[tex](\frac{10}{2})^2\\(5)^2\\= 25[/tex]

[tex]x^2 + 10x + 25 = -12 + 25[/tex]

[tex]x^2 + 10x + 25 = 13[/tex]

Write the LHS into the polynomial identity: [tex](a+b)^2[/tex] by factorising

[tex]x^2 + 5x + 5x + 25 = 13[/tex]

[tex]x(x + 5) + 5(x + 5) = 13[/tex]

[tex](x+5)(x+5) = 13[/tex]

[tex](x+5)^2 = 13[/tex]

Subtract 13 from the LHS and RHS.

[tex](x+5)^2 - 13[/tex]

That's it!

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8. The number 86.345 correct to one decimal place is​

Answers

Answer:

86.3

Step-by-step explanation:

86.345

step 1

identify their place values

8 — Tens

6 — Units

.3 — tenth( 1 decimal place)

.34 — Hundredth (2 decimal place)

.345 — Thousandth ( 3 decimal place)

to one decimal place is

= 86.3

remember 4 is a round down number so .345 can't actually affect the 3

i hope this answered helped.

thanks for choosing brainly

the number after the three determines how to round if its 4-1 its rounds down.. if it is 5-10 it is round up so its 86.3

or
Find the distance between the points (

4,2) and (

9,

10)

Answers

Answer: sqrt(89)

Step-by-step explanation:

let  x1=4 & y1=2

    and   x2=9 &y2=10

d= sqrt (x2-x1)^2+(y2-y1)^2

   =sqrt (9-4)^2+(10-2)^2

   =sqrt (5)^2+(8)^2

  =sqrt (25+64)

  =sqrt(89)

Help! Post Test: Polygons (edmentum) answers geometry

Answers

Answer: ok

Step-by-step explanation:

the value of y varies directly with x.when y=75 x=1/2 what is the value of y when x equals 2 1/4

Answers

The value of y from the equation y = 150x when x = 2(1/4) is 337.5.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

y varies directly with x.

y ∝ x

y = kx

Now,

y = 75 when x = 1/2

75 = k(1/2)

k = 75 x 2

k = 150

Now,

y = kx

y = 150x

When x = 2(1/4) = 9/4

y = 150 x 9/4

y = 337.5

Thus,

The value of y is 337.5.

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х Interpreting trigonometric graphs in context Oliver is observing a windmill. The vertical distance between the ground and the tip of one of the mill's blades, in meters, is modeled by H(t) where t is the time in seconds. The function is graphed below, along with one segment highlighted y Н NE 12- 10+ 8 10 15 20 25 30 35 Answer two questions about the highlighted segment. 1) Which feature of the graph corresponds to the highlighted segment? Choose 1 answer: Midline Do 4 problems Check Et Pro X interpreting trigonometric graphs in context Answer two questions about the highlighted segment. 1) Which feature of the graph corresponds to the highlighted segment? Choose 1 answer Midline Amplitude Period 2) What is the meaning of the highlighted segment? Choose 1 answer: The mill has 10 blades. B The mill completes 10 cycles in a second, The mill completes a single cycle in 10 seconds. D The length of the blade is 10 meters. Do 4 problems Chec D DUE DATe

Answers

The details about the highlighted graph of the periodic cosine function are presented as follows;

The feature of the graph that corresponds with the highlighted segment is the period of the graph

The meaning of the period which is 10 seconds is that the time it takes to complete one cycle is 10 seconds. The correct option is option C

C; The mill completes a single cycle in 10 seconds

What is a periodic function?

A periodic function is one which the function's value repeats itself at regular intervals.

The feature of graph that corresponds to the highlighted segment of the graph is the period

The meaning of the highlighted segment is that the period is 10 seconds, therefore, the time it takes the mill to complete a single cycle is 10 seconds

The correct option is C;  The mill completes a single cycle in 10 seconds

The trigonometric graph is a graph of a periodic function such that the parts of the graph are described as follows;

Period

The period is the distance between two peaks or troughs. The period can also be described as the (horizontal) width of one of the pattern of the graph that is being repeated severally.

From the period indicated on the graph, the time axis value within the interval of one period, highlights the time it takes for the periodic function to complete a cycle.

The time interval of one period of the attached graph created with MS Excel is between 10 and 20 seconds, indicating that the time it takes to complete a period of the function is 10 seconds.

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in a homicide case different witnesses picked the same man from a line up. the line up contained 5 men. if the identifications were made by random guesses, find the probability that all witnesses would pick the same person. round to seven decimal places.

Answers

Rounding to seven decimal places, the probability that one individual would be selected by all witnesses is 0.0000128.

Six different witnesses chose the same individual from a lineup in a homicide case. There were 5 guys in the lineup. The likelihood that each of the six witnesses would choose the same person if the identifications were done based just on guesswork.

P = 1 ÷ 5 is the likelihood that a witness will choose a certain individual at random.

The likelihood that all seven witnesses would select the same subject is P = [tex](\frac{1}{5})^{7}[/tex]= 0.0000128.

Simply put, the probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes to determine how likely they are if we are unclear about how an event will turn out.

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Subtract.


−135−(−278)


Enter your answer as a simplified fraction by filling in the boxes.

Answers

Answer:143

Step-by-step explanation: When subtracting a negative number from a negative number(a minus sign followed by a negative turns the two signs into a positive sign) you are then adding a positive

(-x) - (-x) = (-x) + (x),
(-135) - (-278) = (-135) + (278) = 143

Find all values of x for which f(x)=3x^4+4x^3-120x^2+120 has local maxima and minima, as well as the inflection points. Please show all of your work.

Answers

The Local maxima and minima will be at X = 0 , 4 , -5 and point of inflation will be at [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex].

What is Maxima and Minima ?

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.

Extrema is the result of maxima and minima combined. The graph in the graphic below shows several peaks and falls. We obtain the function's maximum and lowest values at x = a and 0 respectively, and at x = b and c respectively. The valleys are the minima and all the peaks are the maximum.

The peaks and minima of the function that appear in a certain interval are known as local maxima and minima. The value of a function at a place in a certain interval for which the values of the function near that point are always smaller than the value of the function at that point would be considered a local maximum. Local minima, on the other hand, would be the value of the function at a location where the values of the function nearby are higher than the value of the function at that location.

When the concavity of a function's graph (or picture) changes, a point of inflection is identified. We need to determine where the second derivative of the function switches from negative to positive, or vice versa, in order to determine this in algebra. So, we calculate the provided function's second derivative.

The fuction is :

[tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex]

So for local Maxima and minima first derivatives should be zero

Therefore,

[tex]\frac{d}{dx}\\[/tex] ([tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex] ) = 0

⇒ [tex]12x^{3} + 12x^{2} - 240x = 0[/tex]

⇒ [tex]x^{3} + x^{2} - 20x = 0[/tex]

⇒[tex]x(x^{2} + x - 20) = 0 \\[/tex]

⇒x(x-4)(x+5) = 0

For x = 0, 4 , -5 there is a local maxima or minima.

Now for Point of Inflation second derivative is zero

Therefore,

[tex]\frac{d^{2} }{dx^{2} }[/tex] ( [tex]3x^{4} + 4x^{3} -120x^{2} + 120[/tex]) = 0

⇒  [tex]\frac{d}{dx}[/tex][tex]12x^{3} + 12x^{2} - 240x = 0[/tex]

⇒ [tex]36x^{2} + 24x - 240 = 0[/tex]

⇒[tex]3x^{2} + 2x - 20 = 0[/tex]

⇒ x = [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex]

So the point of inflations are [tex]\frac{(-1 + \sqrt{61})}{3},[/tex] [tex]\frac{(-1 - \sqrt{61})}{3}[/tex].

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A subscription to a program normally costs $36 but is on sale for 25% off. A 7% tax is added at checkout. What is the total cost? $28.89 $45.59 $9.00 $27.00

Answers

Answer:

$28.89

Step-by-step explanation:

he subscription is on sale for 25% off, so the cost is $36 - (25% * $36) = $36 - $9 = $27.

Then, a 7% tax is added at checkout, so the total cost is $27 + (7% * $27) = $27 + $1.89 = $28.89.

Therefore, the total cost is $28.89.

Answer:

Step-by-step explanation:

36 will be 27 and  7% of 27 should be added 1,89 so 28,89

Given f(x)=3x+4 find f(4)

Answers

Answer:

Step-by-step explanation:

To find f(4), you can substitute 4 for x in the equation f(x) = 3x + 4. This gives you:

f(4) = 3(4) + 4

= 12 + 4

= 16

Therefore, f(4) = 16.

The manager of a food company wants to conduct a survey to find out whether consumers like or dislike a new brand of soup that was recently launched. Which of the following data collection methods is mostly likely to get unbiased results? a. Ask distributors who supply the products to local retailers about the popularity of different soup brands. b. Ask the employees in the company which soup is the best. c. Ask customers who visit retailers within a 15 mile radius of the company headquarters. d. Ask customers who visit the grocery store nearest to the manager's house which soup they like the best.

Answers

Option c is most likely to get unbiased results.

The best option for collecting unbiased data in this case would be option c: asking customers who visit retailers within a 15 mile radius of the company headquarters. This method would involve sampling a diverse group of customers who are not affiliated with the company in any way, and therefore are likely to provide more objective feedback about the new brand of soup.

Option a, asking distributors who supply the products to local retailers about the popularity of different soup brands, could be biased because the distributors may have their own interests in promoting certain brands over others.

Option b, asking the employees in the company which soup is the best, could also be biased because the employees may have a vested interest in the success of the company and its products, and therefore may not provide completely objective feedback.

Option d, asking customers who visit the grocery store nearest to the manager's house which soup they like the best, could also be biased because it may not be representative of the overall customer base for the soup. It is important to sample a diverse group of customers in order to get a more accurate sense of how the new brand of soup is being received.

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convert the following equation into standard form.
Y= -2x+6

Answers

Answer:

x = 3+y

Step-by-step explanation:

is your ans .................

No. of coffee sales (undred)
2
18
S
10
15
20
Temperature (°C)
25
30
Describe the relationship between the temperature and the coffee
sales
0
As the temperature decreases, the number of coffee sales
decreases
As the temperature increases, the number of coffee sales
increases
As the temperature increases, the number of coffee sales
decreases
D
There is no trend between the temperature and the number of
coffee sales
LT

Answers

The relationship between the temperature and the coffee sales is if the temperature decreases then the number of coffee sales decreases.

So, option a is correct.

What is meant by temperature?

The SI unit of temperature according to the International System of Units is Kelvin, indicated by the sign K. The Kelvin scale is widely recognized or used in research and engineering. However, the global standard for measuring temperature is the Celsius or Fahrenheit scale. The unit of measurement known as temperature can be expressed on a number of scales, including the Fahrenheit and Celsius systems. Temperature depicts the direction in which heat energy spontaneously moves, i.e., from a hotter (body with a higher temperature) to a colder (body with a lower temperature) (one at a lower temperature).

The relationship between the temperature and the coffee sales is if the temperature decreases then the number of coffee sales decreases.

Hence, option a is correct.

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Sketch the curve with the given vector equation by finding the following points. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) r(t) = (t, 9 – t, 2t) r(-9) (x, y, z) r(0) (x, y, z) r(9) (x, y, z)

Answers

For sketching the graph we need to know the coordinate of the vector which are r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩

Given:-

x = t − 2,

y = t² + 1 ⇒ t = x + 2

⇒ y = (x + 2)2 + 1

⇒ y = x² + 4x + 5

For find r′(t) we have to ,

r′(t) = ⟨1, 2t⟩

To sketch the position vector r(t) and the tangent vector r′(t) for t = 1.

r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩

See the above figure. The red vector is r(1) and the blue one is r′(1)

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State the degree and leading coefficient of the polynomial in one variable. If it is not a polynomial in one variable, explain why.
n+8
degree =
leading coefficient =

Answers

Answer: The degree of a polynomial is the highest exponent of the variable in the polynomial. The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

In the expression "n + 8", the highest degree of the variable is 1 and the coefficient of the term with the highest degree is 1. Therefore, the degree of the polynomial is 1 and the leading coefficient is 1.

So, the degree of the polynomial is 1 and the leading coefficient is 1.

Note: If the expression had included terms with higher degrees of the variable, such as "n^2 + 3n + 8", the degree of the polynomial would have been 2 and the leading coefficient would have been 1.

Enter the missing values below.
83
18xy +48x y
25
(3x+8y²)

Answers

According to the given algebraic expression the missing value is [tex]$18 x^8 y^3+48 x^2 y^5= 6x^2y^3 \left(3 x^6+8 y^2\right)$$[/tex].

What is the formula for algebraic expressions?

An equation that includes constants, variables, and a few algebraic procedures is said to be algebraic. A good example of an algebraic equation is 3x2 2xy + d. So, three different sorts of fundamental building blocks make up an algebraic expression: Correlation (i.e. integers) (i.e. numbers)

Which five algebraic expressions are there?

The subsequent five categories provide further categorization of various algebraic expression forms. These include the monomial, polynomial, binomial, trinomial, and multinomial.

Briefing:

[tex]$6.3 x^2x^6 y^3+8.6 x^2 y^3y^2[/tex]

[tex]$18 x^8 y^3+48 x^2 y^5= 6x^2y^3 \left(3 x^6+8 y^2\right)$$[/tex]

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The complete question is-

[tex]\\$factor the algebraic expression.\\$$18 x^8 y^3+48 x^2 y^5=x-y-\left(3 x^6+8 y^2\right)\\\\$Enter the missing values below\\\\$18 x^8 y^3+48 x^2 y^5=\square x\square y\square (3 x^6+8 y^2)$$[/tex]

The restaurant has 25 boxes of ketchup.
Each box has 250 packets of ketchup.
How many packets of ketchup does the restaurant have?

Answers

Answer: 6,250

Step-by-step explanation: As the equation states there are 25 boxes with 250 packs of ketchup take the 25 boxes and multiply the 250 packets

250x25=6,250

y=-3x+2 and 6x+2y=10

Answers

There is no solution to the given system of equations which is the correct answer would be an option (A).

The system of equations is given in the question as:

y = -3x+2 and 6x+2y = 10

These are two equations in the form y = mx + b, where m is the slope and b is the y-intercept.

The first equation, y = -3x + 2, has a slope of -3 and a y-intercept of 2.

The second equation, 6x + 2y = 10, can be rewritten in slope-intercept form as y = -3x + 5. This has a slope of -3 and a y-intercept of 5.

Since both equations have the same slope, they are parallel to each other. This means that they will never intersect, and there is no solution to this system of equations.

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The question seems to be incomplete the correct question would be:

Which statement is true about this system of equations?

y = -3x+2 and 6x+2y = 10

A. there is no solution

B. there is one solution

C. there is many infinite solutions

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