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Dafna11 [192]
3 years ago
11

The sale price of an item is $160 after a 20% discount. What was the original price of the item?

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

192$

Step-by-step explanation:

u take 160 * .20 that equals 32 the u add 32 to 160

mark brainliest if want

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Find the derivative of f(x) = 4 divided by x at x = 2.
polet [3.4K]
<h2>Hello!</h2>

The answer is:

f'(2)=-1

<h2>Why?</h2>

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:

u=4\\v=x

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} }

Hence,

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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Answer:

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