3 years ago

How do you decrease 160 bananas; 20%

1 answer:

5 0

To decrease 160 bananas 20%, you multiply 160 by .20 and then subtract 160 fro that. 160*0.20=32 160-32=128 The final answer is 128 bananas

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If f'(0) = 5 and F(x) = f(3x), what is F'(0)?

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Answer:

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Step-by-step explanation:

We are given that:

$f'(0) = 5 \text{ and } F(x) = f(3x)$

And we want to find F'(0).

First, find F(x):

$\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]$

From the chain rule:

$\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}$

Then:

$\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}$

In conclusion, F'(0) = 15.

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