Arectangle with an area of x2 – 4x – 12 square units is represented by the model. what side lengths should be used to model the rectangle? (x + 2) and (x – 6) (x + 6) and (x – 2) (x + 2) and (x – 10) (x + 10) and (x – 2)

 The correct option is (A)

Step-by-step explanation:  The area of a rectangle is given as follows:

We are to find the side lengths that should be used to model the rectangle.

The AREA of a rectangle is the PRODUCT of its length and width.

So, in order to find the dimensions, we need to factorize the expression for the area.

The factorization is as follows:

Therefore, the dimensions of the rectangle are

Option (A) is correct.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204