Question 2 1 pts
Write an expression to represent the area of the shaded region in simplest form.
Х
5x + 2
x +7
3x - 1
2

Please check the explanation.

Step-by-step explanation:

Calculating the area of the outer rectangle:

Given

Thus,

The area of the outer rectangle:

Calculating the area of the inner rectangle:

Given

Thus,

The area of the outer rectangle:

A = wl

   = x(x+7)

   = x² + 7

Calculating the area of the shaded region:

As

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

                                  = 15x² + x - 2 - (x² + 7)

                                   =  15x² + x - 2 - x² - 7

                                   = 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

step-by-step explanation: