Suppose h(t)=-0.2t^2+2t models the height, in feet, of a ball that is kicked into the air where t is given as time, in seconds

The full question is attached in the first picture.

The answer is attached in the second picture

Max height = 5 feet at time = 5s

Time to ground = 10s

Step-by-step explanation:

If we have such an explicit representation of the path of the ball, we can easily plot the graph with a calculator or a graphing tool, and find its behaviour.

The maximum height (peak of the graph) occurs at t = 5s and has a value of 5 feet.

We can also verify from the graph that the ball touches the ground in 10 s

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