On a piece of paper graph this system of inequalities then determine which region contains the solution to the system

The shaded region of a system of inequalities is the solution to the system

The region that contains the solution is B.

The inequalities are given as:

See attachment for the graphs of and

From the graph, we can see that the inequalities intersect at region D.

But the shaded region is region B

Hence, the region that contains the solution is B.

Read more about system of inequalities at:

link

C. Region B

Step-by-step explanation:

Since you already have the graphs of the lines, you only need to shade the proper area.

For the first equation, since y is less or equal than x-2 you have to shade the bottom part of the line.

For the second one, since y is more or equal to 1/4x+4 you have to shade the upper part of the line.

The answer is the region where the to shaded parts intersects each other.

michael scott & dwight schrute

step-by-step explanation:

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answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb