3 years ago

Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4.

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

Answer:

x=-69/7

Step-by-step explanation:

f (-1) f (x)=(x-10) 3+4

-1=(x-10) 3+4

-1=(x-10) 7

You will multiply 7 by (x-10)

-1=7x-70

Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x

-7x=-70+1

-7x=-69

So you will divide both sides by-7

-7x/7=-69/7

x=-69/7

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3 years ago

A cone-shaped paper cup can hold 35 cubic inches of food. If the radius of the cone is 2.4 inches, what is the height of the con

SVETLANKA909090 [29]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.4\\
V=35
\end{cases}\implies 35=\cfrac{\pi (2.4)^2 h}{3}\implies 105=5.76\pi h
\\\\\\
\cfrac{105}{5.76\pi }=h\implies 5.805467091295 \approx h\implies 5.81 \approx h$