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2 years ago

Compare: X and X decreased by 50% and then increased by 50% of the result

Mathematics

1 answer:

kaheart [24]2 years ago

5 0

Step-by-step explanation:

100% = X

50% = 100%/2 = X/2

X decreased by 50 means X - 50% = X - X/2 = X/2

now,

100% = X/2

50% = 100%/2 = X/2 / 2 = X/(2×2) = X/4

increasing the previous result by 50% means

X/2 + 50% = X/2 + X/4 = 2X/4 + X/4 = 3X/4

so, comparing this to the original X (= 4X/4), we are X/4 short.

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2 years ago

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

Llana [10]

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:

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

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2 years ago

Read 2 more answers

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Setler79 [48]

Answer:

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Step-by-step explanation:

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Hope this helps you out!! Have a good day:))

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