Which function models the area of a rectangle with side lengths of 2x – 4 units and x + 1 units? What is the area when x = 3?

A. f(x) = 2x^2 – 4x + 4; A = 10

B. f(x) = 2x^2 + 8x – 4; A = 38

C. f(x) = 2x^2 – 8x + 4; A = 2

D. f(x) = 2x^2 − 2x − 4; A = 8

D. f(x) = 2x^2 − 2x − 4; A = 8

Step-by-step explanation:

The area of a rectangle is given by the formula length x wide.

In this case we have that the length is 2x -4 and the wide is x +1

Therefore, the area will be:

Now, when x = 3 we would have:

Thus, the right answer is D.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

68719476736

step-by-step explanation:

8*8*8*8*8*8*8*8*8*8*8*8=68719476736