Mathematics: The owners of an amusement park want to add more rides and an arcade in an open field.Beloe is a sketch of their plan. the owners do not know all of the measurements of the field

The owners of an amusement park want to add more

laladance123

11.02.2022

Step-by-step explanation:

Formula to get the area of a rectangle,

Area = Length × Width

Area of rides area = 30 × n

= 30n yds²

Area of the arcade = 30 × 40 yds²

Area of the whole field = Area of rides + Area of Arcade

Area = [30n + 30(40)] square yards

Length of whole field = (n + 40) yds

Width of whole field = 30 yds

Area of the whole field = 30(n + 40) square yards

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billydeck30

18.10.2022

Inverse function is $f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}$ .

Step-by-step explanation:

Given function is $f\left(x\right)=\frac{2}{3}x-17$ .

Now we need to find the inverse of the given function.

Step 1: replace f(x) with y

$y=\frac{2}{3}x-17$

Step 2: switch x and y

$x=\frac{2}{3}y-17$

Step 3: solve for y

$x=\frac{2}{3}y-17$

$x+17=\frac{2}{3}y$

$\frac{3}{2}(x+17)=y$

$\frac{3}{2}x+\frac{51}{2}=y$

Hence required inverse function is $f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}$ .

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