Correct answer only ! which polynomial represents the area of the rectangle?

Formula for Area:

We take the length and multiply it by the width:

We then need to foil. Multiply everything in the left expression by the right expression.

Combine like terms:

Your answer would be:

B

Let's start by looking at a rectangle with length 3x and width x + 1. I've broken the width into two chunks - the x chunk and the 1 chunk. If we look at the area of the two smaller rectangles, we can see that their areas are 3xx = 3x² and 3x(1) = 3x, making the total area so far 3x² + 3x. (Picture 1)

Now, to turn this rectangle into the one in the problem, we need to subtract 5 from the length. This has the effect of subtracting two smaller rectangles with areas 5x and 5 (picture 2), making our total area now 3x² + 3x - 5x - 5 (picture 3). Simplifying our expression, we find that the area of the rectangle in the problem is 3x² - 2x - 5 (picture 4)

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

step-by-step explanation: