Answers
The graph of the inequalities x < -8 and x ≥ 3 would be the lines right to 3 in the number line which also includes 3 and the line left to -8 but -8 not included.
What is Number line?Number lines are the graphical representation of numbers on a horizontal straight line where the numbers are placed on equal intervals. We can graph the equations and inequalities of one variable on a number line.
The given inequalities are x < -8 and x ≥ 3.
First let us consider the inequality x < -8.
This means that all the numbers which is less than -8 but does not include -8.
That will be a line tends to left from -8 with an open circle on -8.
Consider the other inequality x ≥ 3.
This includes all the numbers which are greater than 3 and also include the number 3 since the inequality is ≥.
The graph will be a line tends to right from 3 with a closed circle on 3.
Hence the graph of this compound inequality will be a line tends to left with an open circle on -8 and a line tends to right with a closed circle on 3.
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Answer: i did it
Step-by-step explanation: answered the 2nd question aswell, hope this helps someone
Related Questions
Tell whether the point (13, 17) is a solution to the system of linear equations?
y = -x + 30
y = x + 6
yes
no
Answers
Answer:
No
Step-by-step explanation:
When the 2 equations are graphed the point (13, 17) is not
a solution to the system of linear equations.
So the answer is no.
If you want to look for the solution**- the solution to the equation is (12, 18)
Rufus has collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. In how many weeks will Rufus have a total of 400 pounds of cans?
Answers
Answer: 12
Step-by-step explanation:
In a box of chocolates, of the chocolates are white chocolate, are milk
chocolate, and the rest are dark chocolate.
What fraction of the chocolates are dark chocolate?
Answers
......................................................................
Write a linear function f with the values.
Answers
The equation of the line is f(X)=(-1/6)x—(19/6)
What is equation?
In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
first linear functions have their general form as y= mx + c, where y belongs to the range and X belongs to the domain, m is the slope, and c is the y-intercept.
So using f(x) =y
Given that f(—5)=-4 , X=—5 and y=-4, hence by substituting into the general eqn y= mx+c, You get
-4= -5m+c ------(1)
Also given that f(1)=—3, X=1 and y=—3, hence by substituting into the general eqn y= mx+c, You get
-3= m+c --—-(2)
Solve equation (1) and (2), simultaneously to find the value of m and c. After which you will substitute into y=mx+c or f(X)=mx+c to get your f(X).
Note: you will get m=—1/6 and c=-19/6, from the simultaneous equations.
Hence f(X)=(-1/6)x—(19/6) and correct option is D.
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Tires A mechanic checked the tire pressures on each car that he worked on
for one week. The random variable x represents the number of tires that
were underinflated.
0
P(x) 0.30
1
2
0.25 0.25
3
0.15
4
0.05
Answers
The expected value for the given problem is E(x) = 1.4.
What is expected value?
The expected value is a generalization of the weighted average in probability theory. Informally, the expected value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.
A projected average value for an investment at some point in the future is known as the expected value (EV).
Investors use expected value to gauge an investment's merit, frequently in relation to how risky the investment is.
The formula for to find the expected value is given as,
E ( X ) = μ = ∑ x P ( x ) .
E(x) = 0*0.30 + 1*0.25 + 2*0.25 + 3*0.15 + 4*0.05
E(x) = 1.4
Hence, the expected value for the given problem is E(x) = 1.4.
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Fifty students in the seventh grade are trying to raise at least $2,000 for sports supplies. They have already raised $750. How much should each student raise, on average, in order to meet the goal?
Answers
On average the 50 students need to raise $25 each.
What is average?
In plain English, an average is a single number chosen to represent a group of numbers; it is typically the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5.
Given: Fifty students in the seventh grade are trying to raise at least $2,000 for sports supplies. They have already raised $750.
To find the number of students should each student raise, on average, in order to meet the goal.
Let, $2000 - $750 = $1250
So,
$1250/50 = 25
Hence, on average the 50 students need to raise $25 each.
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Does 0.010110111011110... represent a
rational number or an irrational number?
Explain your reasoning.
Answers
Answer:
This is an irrational number.
Step-by-step explanation:
If you see the decimal, it has the values of 1 and 0, but are not constant.
If it were to be 0.010101010... it would be rational.
But this decimal does not look like that, so its irrational.
Hope this helps.
There were two candidate A and B conteting for the municipal corporation election in a town. The total number of voter in the town were 80,000. If 90% of the voter had voted and 60% of vote polled were cat in favour of A, find the number of vote received by B
Answers
There were two candidate A and B contesting for the municipal corporation election in a town. The total number of voter in the town were 80,000. If 90% of the voter had voted and 60% of vote polled were cat in favour of A, 28,800 the number of vote received by B.
What is municipal corporation election?A state-incorporated city, town, village, or county that has the power to manage local governmental matters, such as creating a police force. A municipal corporation is established by a state's legislature, which also determines its lifespan, privileges, and powers. likewise known as a municipality.
A local governing body, such as cities, counties, towns, townships, charter townships, villages, and boroughs, is referred to legally as a "municipal corporation." Municipally-owned companies can also be referred to as this
Regulation of building construction and land usage. Town planning is included in urban planning. preparing for social and economic progress. water supply for residential, commercial, and industrial uses.
Given that,
Total number voters = 80,000
Total number of votes polled = 90%
Thus,
= (90/100) × 80,000
= 72,000
So, total percent of votes received by B if A gets 60% of polled votes.
= 100% - 60%
= 40%
Hence, total number of votes received by B
= (40/100) × 72,000
= 28,800
Therefore, the number of votes received by B, out of total votes polled is 28,800 votes.
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It's a mean and median frequency table
Pls answer
Answers
a) The mode is 2.
b) 32 Students were there altogether.
c) 15 dinners were served during the week.
d)The mean number of dinners is 2.5.
What is mode?This refers to the value that appears most often in a set of data values.
What is mean?
This refers to the average of the given set of numbers. It is calculated by dividing the sum of given numbers by the total number of numbers.
Given in the question:
a)The number of school dinners 2 has a frequency of 12.
Hence, the mode is 2.
b) To calculate the number of students altogether, we add then frequencies
Total number of students = 0 + 8+ 12 + 6+ 4 + 2
Total number of students = 32
c) To get the number of dinners served during the week, we add the number of dinners together.
Number of dinners served during the week= 0 + 1 + 2 + 3 + 4 + 5
Number of dinners served during the week = 15
D) The mean number of dinners =
1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+4+4+4+4+5+5
32
The mean number of dinners = 80
32
The mean number of dinners = 2.5
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14x+17.5<−66.5 can you guys help me
Answers
Answer: < -6
Step-by-step explanation:
f(x) = x²+x-6
g(x) = 4x +9
Find: g(f(x))
Answers
The value of the function g(f(x))=4x²+4x-15 if f(x) = x²+x-6
g(x) = 4x +9.
What is meant by a function?An exact one of each element of Y is assigned to each element of X via a mathematical function from a set X to a set Y. The sets X and Y are denoted by the terms "domain" and "codomain," respectively.
The fundamental concept of functions was the connection between fluctuating quantities and other variables. One illustration of this is the impact of time on a planet's position. Beginning at the end of the 17th century and continuing until the 19th century, the concept was developed using the infinitesimal calculus.
Given,
f(x) = x²+x-6
g(x) = 4x +9
f(g(x))=f(4x+9)
g(f(x))=4(x²+x-6)+9
g(f(x))=4x²+4x-24+9
g(f(x))=4x²+4x-15
Therefore, the value of the function g(f(x))=4x²+4x-15 if f(x) = x²+x-6
g(x) = 4x +9.
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Big Ideas: Graph f(x) = 0.5x^3 - 2x + 2.5. Identify the x-intercepts and the points where the local maximums and local minimums occur. Determine the intervals for which the function is increasing or decreasing. Round to the nearest hundredth, if necessary.
The x-intercept is x = (blank).
The local maximum is (blank, blank).
The local minimum is (blank, blank).
The function is increasing when x < (blank) and x > (blank).
The function is increasing when (blank) < x < (blank).
Answers
Answer:
The x-intercept is x = 0.
The local maximum is (-0.38, -0.46).
The local minimum is (0.38, -0.46).
The function is increasing when x < -0.38 and x > 0.38.
The function is increasing when -0.38 < x < 0.38.
Step-by-step explanation:
To find the x-intercepts, we can set the function equal to 0 and solve for x. This gives us the equations:
0.5x^3 - 2x + 2.5 = 0
To find the points where the function has local maximums and minimums, we can take the derivative of the function and set it equal to 0. This gives us the equation:
1.5x^2 - 2 = 0
To find the intervals where the function is increasing or decreasing, we can take the derivative of the function and determine the sign of the derivative. A positive derivative indicates that the function is increasing, while a negative derivative indicates that the function is decreasing.
Based on the information above, we can fill in the blank answers as follows:
The x-intercept is x = 0.
The local maximum is (-0.38, -0.46).
The local minimum is (0.38, -0.46).
The function is increasing when x < -0.38 and x > 0.38.
The function is increasing when -0.38 < x < 0.38.
For which situation does one quantity change at a constant rate per unit interval relative to another quantity?
Responses
For every day that passes, a person drives 54 miles.
.
For every month that passes, a savings account earns interest at a rate of 1.5%
For every week that passes, a vine doubles in length 2 times a week.
.
For every year that passes, a population of insects increases by 6%
Answers
Answer:
(a) For every day that passes, a person drives 54 miles
Step-by-step explanation:
You want to know the situation in which one quantity changes relative to another at a constant rate.
DrivingThe rate of change is described as 54 miles for each day. This is a constant rate of change. Miles relative to days are described by a linear function.
SavingsWe assume the description means that the balance in the savings account increases by 1.5% with each passing month. While this interest rate is a constant, the amount by which the balance changes each month is not constant. The balance relative to time is described by an exponential function.
VineIf the vine doubles in length twice a week, its length increases by 300% each week. As with savings, this growth rate is constant, but the amount of growth each week is not. The length of the vine is described by an exponential function.
PopulationAs with savings, this growth rate is constant, but the amount of increase each year is not. The population is described by an exponential function.
The situation with a constant rate of change is ...
For every day that passes, a person drives 54 miles.
__
Additional comment
When the quantity is graphed, the "rate of change" refers to the slope of the curve on the graph. The graph of an exponential growth function does not have a constant slope, but has a slope that increases exponentially.
<95141404393>
(-20, 12)
(17, 2)
(-11, 8)
(17, 8)
(11, 2)
Is this relation a function?
Answers
Answer:
No because x-coordinate 17 appears twice.
Step-by-step explanation:
In a function, no two ordered pairs can have the same x-coordinate.
Here, points (17, 2) and (17, 8) have 17 as the x-coordinate. Since the same x-coordinate, 17, is used more than once, this relation is not a function.
You are designing one last sandbag-dolly system for the performance. this time, two actors will be on the dolly. the mass of the dolly and actors combined is 94 kg, and the mass of the sandbag is 35 kg. the coefficient of kinetic friction between the dolly and the stage floor is 0.20. what is the acceleration?
Answers
The acceleration of the dolly-sandbag system is 1.23 m/s²
How to calculate the acceleration?Given parameters:
The mass of the dolly and actor combined is: M = 94 kg
the mass of the sandbag is: m = 35 kg.
The coefficient of kinetic friction between the dolly and the stage floor is 0.20.
Let the acceleration is a.
Hence, From Newton's 2nd law of motion, we can write that:
ΣF = (m+M) a
mg - μMg = (m+M) a
a = g (m- μM)/ (m+M)
= 9.8 (35 - 0.20 × 94)/(35 + 94)
= 9.8 (16.2)/(129)
= 1.23 m/s².
Hence, the acceleration of the dolly-sandbag system is 1.23 m/s².
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Part F: Order the integers from least to greatest. 12, -6, 20, -47, -11
Answers
The integers are -47, -11, -6, 12, 20 in order of least to greatest.
Explain about the integers?A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. -5, 1, 5, 8, 97, and 3, 043 are some examples of integers. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.
Positive numbers, negative numbers, and zero make up integers. Thus, integers include 0 through 3, as well as -1, -2, and -3. No further parts, such as fractions or decimals, are allowed in integers. Therefore, fractional and decimal numbers like 3 1/2 and -7.5 are NOT integers.
Integer is derived from the Latin integer, which means whole or untouched, from the prefix in (for "not") with tangere ("to touch"). The words "entire" and "integer" are both derived from the same root, which is the French word entire.
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Please help if possible.
Answers
Answer:
$1020.00000$1020.15050$1020.18436$1020.19742$1020.20078Step-by-step explanation:
You want to find the effect of compounding 2% annual interest on $1000 at different intervals for a year. The intervals are ...
1 per year4 per year12 per year52 per year365 per yearCalculatorThe attached calculator display shows the result:
yearly: $1020.00000quarterly: $1020.15050monthly: $1020.18436weekly: $1020.19742daily: $1020.20078Tom's school is selling tickets to a Christmas performance. On the first day of ticket sales the school sold 11 senior citizen tickets and 12 child tickets for a total of $113. The school took in $76 on the second day by selling 10 senior citizen tickets and 2 child tickets. What does each ticket cost?
Answers
Senior citizen tickets cost $7, while child tickets cost $3.
Define cost?A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.
Senior citizen tickets should equal ST.
CT = child tickets
The school sold 11 senior citizen tickets and 12 kid tickets on the first day of ticket sales for a total of $113.
11 senior citizens equals 11ST.
12 children equals 12CT a total $113
11ST + 12CT = $113 ( REFER AS 1 )
On the second day, the school sold 10 senior citizen tickets and 2 kid tickets, bringing in $76.
10 senior citizen =10ST
2 children = 2CT
total 76
10ST + 2CT = $76 ( REFER AS 2 )
So from 1 and 2 we do elimination method
multiply eq 2 with 6 and subtracted from eq 1
60ST + 12CT = 456
That is
(60 -11)ST + (12-12)CT = 456 - 113
49ST = 343
ST = 343/49
ST = $7
the cost of senior citizen ticket is $7
10ST + 2CT = $76
10*7 + 2CT = 76
70 +2CT = 76
2CT = 76 - 70
2CT = 6
CT = $3
the cost of child ticket is $3
Senior citizen tickets cost $7 each, while child tickets cost $3 each
( to recheck from eq 1
7*11 + 3* 12 should be equal to 113
77 + 36 = 113 )
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What percentage of trains were late in this particular week? 27.6% 38.2% 40.0% 72.4%
Answers
Answer:
27.6•\• is the answer from me
Which equation is equivalent to the quadratic equation x^2− 8x +19 = 0 where k represents the absolute value of the maximum value of the function? options:A (x-4)^2+k=0 B:(x-4)^2-k=0 C:(x+4)^2+k=0 D:(x+4)^2-k=0
Answers
The equation that is equivalent to quadratic equation x^ 2-8x+19=0 is
(x-4)^ 2+k = 0 using quadratic equation properties .
What is quadratic equation ?
A quadratic equation is a second order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
Properties of graph of quadratic equation :
1. The shape of curve y = f(x) is a parabola.
2. If a>0, the parabola opens upwards.
3. If a<0, the parabola opens downwards.
4.The coordinates of vertex of parabola in all these cases is
(-b/2a , -D/4a).
The given equation is x^ 2-8x+19=0
a = 1,
b = -8,
c = 19.
As a>0, 2nd property is correct i.e. no maximum value , only minimum value can be find that will be at vertex.
So, the vertex = (4,3)
The minimum value = 3 at 4.
So, the value of k = 3,
Given equation can be written as x^ 2-8x+16+3 = 0.
= (x-4)^ 2 +3 = 0.
The option A is correct.
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kylie works for a large nursery and is investigating whether to use a new brand of seeds. the new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. she will change over to this new brand unless the actual germination rate is less than what is advertised. kylie conducts an experiment by randomly selecting 76 seeds of the new brand and plants them. she finds that 70 of those seeds germinated. what are the null and alternative hypotheses for this hypothesis test?
Answers
The null and alternative hypotheses for this hypothesis test is H₀ : p = 0.93, Hₐ : p > 0.93.
What is Hypothesis ?A hypothesis in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
What is Null and Alternative Hypotheses?Null and alternative hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
Let 'p' be the population proportion.
Given statement : The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using.
Since null hypothesis shows that there is no significant difference between the quantities where as alternative hypothesis believes that there is some difference,
Hence, the null and alternative hypotheses for this hypothesis test will be :- H₀ : p = 0.93
Hₐ : p > 0.93
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What is the distance between points m and n? meters
Answers
Answer: 9.8
Step-by-step explanation:
Please hurry and help!
Graph the following linear equation using the intercepts.
\displaystyle -10 x-12 y=-60−10x−12y=−60
Answers
The x−intercept is 6 and the y-intercept is 5.
What is an equation of a line?
In high school algebra, "the equation of a line" is a crucial concept. This refers to an equation in the (x,y) plane with a line as its solution set. The "slope-intercept" form is the most widely used form in algebra. y = mx + b. In essence, x is used as a parameter in this formula, and y is written as a function of x: y = f(x) = mx+b.
Here, we have
The given equation of a line is:
−10x − 12y = −60
10x + 12y = 60
x/6 = y/5 = 1
Hence, the x−intercept is 6 and the y-intercept is 5.
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The median, or middle value, is 42 48 52 54 59 61 61 64 65 67 68 70 72 75 80
Answers
The median or the middle value of 42 48 52 54 59 61 61 64 65 67 68 70 72 75 80 is 64.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
42 48 52 54 59 61 61 64 65 67 68 70 72 75 80
The given set of numbers is in ascending order.
There are 15 numbers.
The middle number will be the 8th number.
8th number = 64
Thus,
The median is 64.
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The rectangular floor of a classroom is 30 feet in length and 20 feet in width. A scale drawing of the floor has a length of 15 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRY PLEASEEEEEEEE
Answers
The area of the floor in the scale drawing will be equal to 150 in².
What is the area?An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
As per the given information in the question,
Length of the classroom, l = 30 feet and,
The width of the classroom, w = 20 feet.
As per the scale drawing, the length of the classroom, l' = 15 feet
Let the scale width, w' = x feet
As we can see that the original length is twice the scale drawing.
Then, the original width also is twice the scale drawing.
So, w' = 20/2 = 10 feet.
Now, the area of the floor in the scale drawing will be,
A = wl
A = (15)(10)
A = 150 in².
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1. you have three baskets of fruit. one has apples, one has oranges, and one is a mix of the two. all the baskets are mislabeled. how many fruits do you need to pull out of how many baskets to correctly label them all.
Answers
To label the three basket correctly , We have to pull out total two fruits from all of them
Let Say , We are drawing a fruit from a basket labelled "Mixture"
If this fruit is an apple, then indicate such on the label (Because this basket does not contain Mixture, so if one is apple, all are apples only). We've now discovered that the basket marked "Mixture" solely includes apples.
Therefore , the Correct Label is "apples"
Now, Drawing another fruit from basket labelled "Oranges," we can see that it either contains solely apples or mixture. The basket marked "Oranges" contains "Mixture," as we already know which basket only contains apples. Put "Mixture" on the label.
Oranges will be the name of the third basket.
The same reasoning holds true if you suppose that you initially chose an orange from the basket marked "Mixture."
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A police officer is estimating the distance from one side of a street to the other. The actual distance is 13.4 m. The police officer’s estimate is 14 m. Find the absolute error and the percent error of the police officer’s estimate.
PLEASE HELP
Answers
The absolute error and the percent error of the police officer’s estimate will be 4.29%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A cop is assessing the separation from one side of a road to the next. The genuine distance is 13.4 m. The cop's gauge is 14 m.
The absolute error and the percent error of the police officer’s estimate are calculated as,
%error = [(14 - 13.4) / 14] x 100
%error = (0.60 / 14) x 100
%error = 4.29%
The outright mistake and the percent blunder of the cop's gauge will be 4.29%.
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Make a frequency distribution and find the relative frequencies for the following number set. Round the relative
frequency to the nearest tenth of a percent.
10 20 40 50 60 80
10 20 40 60 60 80
20 30 50 60 70 90
20 30 50 60 80 90
Number Frequency Relative Frequency
Answers
The relative frequencies for the following number set is 10 30 40 50 60 70 10 30 40 60 60 80 20 30 50 60 70 90 20 30 50 60 70 90
How do you find the relative frequency in a frequency distribution?
Divide the frequency by the total number of data values to obtain the relative frequency. Add all of the earlier relative frequencies to the relative frequency for the current row to obtain the cumulative relative frequency. Divide the total number of occurrences of the result you're interested in by the total number of occurrences if your data are observational. This may be expressed mathematically as relative frequency = frequency of the desired result / all occurrences.
There are 24 items.
Relative Frequency:
10 - (2) - 8.33%
20 - (1) - 4.17%
30 - (4) - 16.67%
40 - (2) - 8.33%
50 - (3) - 12.5%
60 - (5) - 20.83%
70 - (3) - 12.5%
80 - (1) - 4.17%
90 - (2) - 8.33%
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r(x) = x^2 + 5x + 4 write r(x) in factored form. I would like an explanation as to how you get the answer please!
Answers
Answer: (x+1)(x+4)
Step-by-step explanation:
Step 1: Use the sum-product pattern
x^2 + 5x + 4
x^2 + 4x + x + 4
Step 2: Common factor from the two pairs
x(x+4) + x+4
Step 3: Rewrite in factored form
(x+1)(x+4)
In gym class, the yellow team and the blue team played soccer. Ali doesn't remember the final score of the game, but she does remember the following. what's the score There were six goals scored in total. Neither team scored more than two goals in a row at any point in the game. Determine all the possible final scores and the different ways each score could have been obtained. The blue team won the game.
Answers
Answer:
Step-by-step explanation:
i need help
