2. There are 6 different routes that a commuter can take from her home to her office. How many ways can she make a roundtrip if she uses different routes
for coming and going?

hello from mrbilldoesmath!

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

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.

your answer is  

a.

5

step-by-step explanation: