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atroni [7]
2 years ago
15

What is a rule for

Mathematics
1 answer:
USPshnik [31]2 years ago
7 0

Answer:

Step-by-step explanation:f(h(x))= 2x -21

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

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The number of surfers that visited Sunset Beach and Sandy Point over the last 15 days was recorded on these line plots.
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2 years ago
Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).
zzz [600]

Answer:

y=-5x+7

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

the points (−1,12) and (1,2)

substitute

m=\frac{2-12}{1+1}

m=\frac{-10}{2}

m=-5

step 2

we know that

The equation of the line in slope intercept form is equl to

y=mx+b

where

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b is the y-intercept

we have

m=-5

point\ (1,2)

substitute in the linear equation and solve for b

2=-5(1)+b

b=2+5=7

therefore

y=-5x+7

4 0
3 years ago
If twice a number is subtracted from 11, the result is 4 more than the number. What is the number?
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Let the number = x.

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Now you have 11-2x = 4 + x

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11 = 4 + 3x

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7 = 3x

Divide both sides by 3:

x = 7/3

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