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

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

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