2 years ago

Factor 22 + 13x + 30 completely.

Mathematics

1 answer:

ss7ja [257]2 years ago

3 0

Answer:

13 (x+4)

Step-by-step explanation:

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Andre is a salesman and his assigned territory has a radius of 45 miles. What is the area of Andreâ€™s sales territory? Use 3.14

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2 years ago

Veseljchak [2.6K]

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Step-by-step explanation:

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3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Bx%7D%5E%7B2%7D%20%2B%204x%20-%205" id="TexFormula1" title="f(x) = {x}^{2}

frutty [35]

The inverse function theorem says

$\dfrac{\mathrm df^{-1}}{\mathrm dx}(16)=\dfrac1{\frac{\mathrm df}{\mathrm dx}(f^{-1}(16))}$

We have

$f(x)=x^2+4x-5$

defined on $x>-2$ , for which we get

$f^{-1}(x)=-2+\sqrt{x+9}$

and

$f^{-1}(16)=-2+\sqrt{16+9}=3$

The derivative of $f(x)$ is

$f'(x)=2x+4$

So we end up with

$\dfrac{\mathrm df^{-1}}{\mathrm dx}(16)=\dfrac1{\frac{\mathrm df}{\mathrm dx}(3)}=\dfrac1{10}$

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2 years ago