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mamaluj [8]
3 years ago
14

Rewrite in simplest terms: 8(-10r-9)+9r

Mathematics
1 answer:
noname [10]3 years ago
7 0

Answer:

-71r-72

Step-by-step explanation:

8(-10r-9)+9r

Distribute the 8

-80r -72  +9r

Combine like terms

-80r+9r   -72

-71r-72

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Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?
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Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

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Implicitly differentiate the left side and take the derivative of the right side

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Multiply both sides by 'y' which was defined as 2^x

y'=\ln(2)*2^x

Plug in x = 2 and x = 3 to see which slope is larger

y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)

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