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Ganezh [65]
4 years ago
8

What is the point of maximum growth:

Mathematics
1 answer:
salantis [7]4 years ago
7 0

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

Step-by-step explanation:

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

wait i think i did the wrong one brb

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Jim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70
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Answer:

His acceleration is \frac{1}{15} meters per seconds²

Step-by-step explanation:

Acceleration is the rate of change of the speed

The formula of acceleration is a=\frac{v_{f}-v_{i}}{t} , where

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∵ Jim goes from 70 meters/minute (beginning speed) to

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∴ His initial speed v_{i} = 70 meters/minute

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∴ v_{i} = \frac{7}{6}  meters/second

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- Change it the meter per second

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∴ v_{f} = \frac{53}{30}  meters/second

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∴ t = 9

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- Substitute the values of t, v_{i}  and v_{f} in the formula above

∴  a=\frac{\frac{53}{30}-\frac{7}{6}}{9}=\frac{1}{15}

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