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2 years ago

Which expression has the same value as -4(5 - x)?

Mathematics

2 answers:

Lerok [7]2 years ago

5 0

None of them have the same value

grigory [225]2 years ago

4 0

None of these is correct.
-4(5-x)
= (-4•5) + (-4•-x)
= -20 + 4x
= 4x-20

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polet [3.4K]

<h2>Hello!</h2>

The answer is:

$f'(2)=-1$

To solve this problem, first we need to derivate the given function, and then, evaluate the derivated function with x equal to 2.

The given function is:

$f(x)=\frac{4}{x}$

It's a quotient, so, we need to use the following formula to derivate it:

$f'(x)=\frac{d}{dx}(\frac{u}{v}) =\frac{v*u'-u*v'}{v^{2} }$

Then, of the given function we have that:

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So, derivating we have:

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{x*(4)'-4*(x)'}{x^{2} }$

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{x*0-4*1}{x^{2} }$

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{0-4}{x^{2} }$

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{-4}{x^{2} }$

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$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{-4}{x^{2} }$

Now, evaluating with x equal to 2, we have:

$f'(2)=\frac{-4}{(2)^{2} }$

$f'(2)=\frac{-4}{4}$

$f'(2)=-1$

Therefore, the answer is:

$f'(2)=-1$

Have a nice day!

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Step-by-step explanation:

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Answer:

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