Find the imagine of (x-1 ,y -8 )

Answer:

10x-5

Step-by-step explanation:

f(x)=5x

g(x)=2x-1

To create a composite function, replace x in f(x) with g(x)

f(g(x)) = 5(g(x) = 5(2x-1) = 10x-5

Answer:

[tex] \frac{1}{12} [/tex]

Step-by-step explanation:

[tex] \frac{2}{9} \div \frac{8}{3} \\ = \: \frac{1}{12}[/tex]

So, if you divide 2/9 by 1/12, you'll get 8/3

Answered by GAUTHMATH

The null hypothesis is [tex]\mu = 39.09[/tex]  

The symbol [tex]\mu[/tex] is the Greek letter mu

The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]

So either mu is 39.09 or it's not 39.09

You can use H0 and H1 to represent the null and alternate hypotheses respectively.  

----------------------

Summary:

The two hypotheses are

H0: [tex]\mu = 39.09[/tex]

H1: [tex]\mu \ne 39.09[/tex]

This is a two tailed test.

9514 1404 393

Answer:

  2

Step-by-step explanation:

In this expression, the terms are the parts of the sum. They are 3x and 4. There are 2 terms.

Answer:

Let June's sweets be 5x.

Then Gavyn's sweets will be 5x.

And Alex's sweets will be 3x.

5x = 3x + 22

2x = 22

x = 11

So June has 5 x 11 = 55 sweets

Gavyn has 5 x 11 = 55 sweets

And Alex have 3 x 11 = 33 sweets

Total

= 55 + 55 + 33

= 143 sweets

Answer:

The equation y=−3x+5 is in slope intercept form, and represents a straight line in which -3 is the slope, and 5 is the y -intercept.

Answer: 870,000

Step-by-step explanation: First find the digit in the rounding place

which in this case is the 7 in the ten thousands place.

Next, we look at the digit to the right of the 7, which is 0.

According to the rules of rounding, if the digit to the right

of the rounding place is less than 5, we round down.

So the 7 in the rounding place stays the same

and all digits to the right of the become 0.

So 870,640 rounded to the nearest ten thousand is 870,000.

Answer:

3.01

Step-by-step explanation:

To Find :-

SOLUTION :-

=> Monthly salary = $ 37.165/12= $ 3.01

9514 1404 393

Answer:

  (c)  f(t)=21,000(0.85)^t

Step-by-step explanation:

Each year, the value is multiplied by 1-15% = 85% = 0.85. This is correctly shown in the function ...

  f(t)=21,000(0.85)^t

9514 1404 393

Answer:

Step-by-step explanation:

We assume ...

The wall area is the wall height times the perimeter of the room.

  wall area = (25')(2(100' +65')) = 8250 ft²

The ceiling area is the product of length and width.

  ceiling area = (100')(65') = 6500 ft²

Then the area to be painted with each coat is ...

  painted area = wall area + ceiling area = (8250 +6500) ft² = 14750 ft²

Then two coats of paint will require sufficient paint to cover ...

  (2 coats)×(14750 ft²/coat) = 29,500 ft²

__

If each can of paint covers 1750 ft², the number of cans required is ...

  (29,500 ft²)/(1750 ft²/can) = 16.86 cans

  17 cans must be purchased

__

The cost of 17 cans of paint with sales tax will be ...

  (17 cans)($151.99/can)(1 +15%) = $2971.40

Answer:

503.75, 504.75, 505.75, 506.75

Step-by-step explanation:

x+(x+1)+(x+2)+(x+3)=2021

4x+6=2021

4x=2015

x=503.75

so it would be

503.75+504.75+505.75+506.75= 2021

Answer:

a. The friend is incorrect.

2(x) is the same as x(2). PEMDAS does not apply to the same order of operation under normal conditions and both are directly proportional functions.

b. The parentheses are the only thing making the functions different. After you simplify from the parentheses, both values have the same priority.

Step-by-step explanation:

Answer:

[tex]f(g(2)) = 2[/tex]

Step-by-step explanation:

Given

[tex]x \to f(x)[/tex]

[tex]-6 \to 1[/tex]

[tex]-3 \to 2[/tex]

[tex]g(x) = f^{-1}(x)[/tex] --- inverse

Required

[tex]f(g(2))[/tex]

For two functions f(x) and g(x) where f(x) and g(x)are inverse;

[tex]f(g(x)) = x[/tex]

So, by comparison:

[tex]f(g(2)) = 2[/tex]

Answer:

[tex]Pr= 0.00725[/tex]

Step-by-step explanation:

Given

[tex]p = 0.05[/tex] ---- probability that each component fails

[tex]n = 3[/tex]

Required

[tex]P(System\ Overheats)[/tex]

We understand that the system will overheat if at least 2 component fails; Assume the components are: x, y and z

The events that the system will overheat are: xyz', xy'z, x'yz and xyz

Where ' means that the component did not fail, and the probability is 1 - p (i.e. complement rule)

So, we have:

[tex]xyz' \to 0.05 * 0.05 * (1 - 0.05) = 0.002375[/tex]

[tex]xy'z \to 0.05 * (1 - 0.05)* 0.05 = 0.002375[/tex]

[tex]x'yz \to (1 - 0.05)* 0.05 * 0.05 = 0.002375[/tex]

[tex]xyz \to 0.05 * 0.05 * 0.05 =0.000125[/tex]

So, the required probability is:

[tex]Pr= 0.002375 +0.002375 +0.002375 + 0.000125[/tex]

[tex]Pr= 0.00725[/tex]

Answer:

7/4

Step-by-step explanation:

(4/7)^-1

We know a^-b = 1/a^b

1/ (4/7)^1

7/4

Answer:

(4/7)^-1

=1/(4/7)^1

=1÷4/7

=1×7/4

=7/4

Therefore 7/4 is equal to 1.75 as a rational number

Answer:

B. Pie chart.

Step-by-step explanation:

In this question, the students are asked what political party they belong. The best display format would be one in which the graph can be divided into parts, or percents, according to the percentage of students belonging to each political party. The graph that best describes this, distributing a group into parts, is a pie chart, and thus, the correct answer is given by option b.

Scatterplot is used when two variables correlate together, that is, there is a relationship between them, which we don't have between the number, or proportion of students belonging to each political party. Stemplot are used when there is a high number of quantitative data, which we do not have here.

Answer:

B. h = 7.4 inches

Step-by-step explanation:

height of the laptop screen = h

d = 12.1 in.

w = 9.6 in.

We are given the formula,

d = √(w² + h²)

Plug in the values and solve for h

12.1 = √(9.6² + h²)

Square both sides

12.1² = 9.6² + h²

146.41 = 92.16 + h²

146.41 - 92.16 = h²

54.25 = h²

√54.25 = h

7.4 = h (nearest tenth)

h = 7.4 inches

Answer:

B. 9

Step-by-step explanation:

When the line runs( x variation) by 1 , it rises (y variation) by 9

And since unit rate is calculated by Rise/Run, the unit rate is 9/1 or 9

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

1 71years

Step-by-step explanation:

x+10=81

x=71

2. x+8=49

x=41

3. x+11=100

x=99

Answer:

$325.50

Step-by-step explanation:

1) 210÷100 = 2.1

  2.1×55 = 115.5

  210 + 115.5 = 325.5

2) 210×55 = 11550

   11550÷100 = 115.5

   210 + 115.5 = 325.5

Answer:

The warranty period should be of 30 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Optimal-Eats blender has a mean time before failure of 37 months with a standard deviation of 5 months.

This means that [tex]\mu = 37, \sigma = 5[/tex]

What should be the warranty period, in months, so that the manufacturer will not have more than 7% of the blenders returned?

The warranty period should be the 7th percentile, which is X when Z has a p-value if 0.07, so X when Z = -1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.475 = \frac{X - 37}{5}[/tex]

[tex]X - 37 = -1.475*5[/tex]

[tex]X = 29.6[/tex]

Rounding to the nearest whole number, 30.

The warranty period should be of 30 months.

Answer:

50 text messages would have to be sent or received in order for the plans to cost the same each month.

Step-by-step explanation:

x = number of text messages sent

0.2x+40=50

0.2x = 10

5(0.2x) = 5(10)

x = 50

Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.

Answer:

y - 2 = 2/3 (x-1)

y - 4 = 2/3(x-4)

Step-by-step explanation:

With this graph,the equation can be found on a straight line as the graph is .

So the formula is

[tex]y - y1 = m(x - x1)[/tex]

where your m is your gradient or slope as already said,the equation can be used by this formula (note;after finding your normal slope (not on a straight line ) firstly)

When you are done take any of the points connecting to the x axis and y axis directly as in (4,-4) or (2,1)

Let your first number be x1 and second y1 and place it in the formula .

where m is still your normal slope.

The limit of the difference quotient of the above function [tex]f(x)[/tex] at [tex]x=3[/tex] is [tex]3[/tex] such that [tex]f(x)=x^{3} - 4x^{2} + 2[/tex].

The difference quotient of a function [tex]f(x)[/tex] is [tex]\frac{f(x+h)-f(x)}{h}[/tex].

The given equation is, [tex]f(x)=x^{3} -4x^{2} +2[/tex]

So, [tex]f(x+h)=(x+h)^{3} -4(x+h)^{2} +2= x^{3} +h^{3}+3x^{2} h+3xh^{2} -4x^{2} -4h^{2} -8xh+2[/tex]

Now, [tex]f(x+h)-f(x)[/tex]

[tex]=x^{3}+h^{3}+3x^{2}h+3xh^{2}-4x^{2}-4h^{2}-8xh+2-x^{3}+4x^{2}-2[/tex]

[tex]=h^{3}+3x^{2}h+3xh^{2}-4h^{2}-8xh[/tex]

So, [tex]\frac{f(x+h)-f(x)}{h} =\frac{h^{3}+3x^{2}h+3xh^{2} -4h^{2}-8xh }{h}[/tex]

[tex]=h^{2}+3x^{2}+3xh-4h-8x[/tex]

Now, at [tex]x=3[/tex],

[tex]h^{2}+3x^{2}+3xh-4h-8x=h^{2}+27+9h-4h-24=h^{2}+5h+3[/tex]

If   [tex]h[/tex]→[tex]0[/tex], the value of [tex]h^{2}+5h+3=3[/tex]

Thus, the limit of the difference quotient of the above function [tex]f(x)[/tex] at [tex]x=3[/tex] is [tex]3[/tex].

Learn more about the limit of the difference quotient here- https://brainly.com/question/17008881

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Answer:

1. number line or 3

2. D

3. E and K

4. B

5. A

Brainliest please~

Answer:

x2-4

Step-by-step explanation:

Answer:

hope it helps

Answer:

z = 3.6

Step-by-step explanation:

Given that,

z varies directly with x and inversely with the square of y. We can write it as :

[tex]z\propto \dfrac{x}{y}\\\\z=\dfrac{kx}{y}[/tex]

Where

k is constant

Put z = 16 when x = 4 and y = 1

[tex]16=\dfrac{k\times 4}{1}\\\\k=4[/tex]

Now put k = 4, x = 8 and y = 9

[tex]z=\dfrac{4\times 8}{9}\\\\z=3.6[/tex]

So, the value of z is equal to 3.6.

Step-by-step explanation:

Area of a square = s x s

(4x-7)x(4x-7)

Open brackets

4x(4x-7)-7(4x-7)

16x^2-28-28x+49

16x^2-28x+21