3 years ago

Kayla received a 25% discount on the purchase of a $170 bicycle. What was the amount of the discount that Kyle received?

Mathematics

1 answer:

galben [10]3 years ago

3 0

Total price 127.50 the discount was 42.50

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Answer:

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Step-by-step explanation:

The absolute maximum of a continuous function $f(x)$ is where $f'(x)=0$ . Therefore, we must differentiate the function and then set $x=-5$ and $f'(x)=0$ to determine the value of $c$ :

$f(x)=xe^{-x}+ce^{-x}$

$f'(x)=-xe^{-x}+e^{-x}-ce^{-x}$

$0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}$

$0=5e^{5}+e^{5}-ce^{5}$

$0=e^5(5+1-c)$

$0=6-c$

$c=6$

Therefore, when $c=6$ , the absolute maximum of the function is $x=-5$ .

I've attached a graph to help you visually see this.

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Marat540 [252]

Answer:

Step-by-step explanation:

We will squared each, we will find

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