Amir stands on a balcony and throws a ball to his dog, who is at ground level.

The ball's height (in meters above the ground), x seconds after Amir threw it, is modeled by

h(x)=-(x+1)(x-7)

What is the maximum height that the ball will reach?

16 meters

Step-by-step explanation:

The height function is given by:

The value of x, in seconds, for which the derivate of the height function is zero, is the time at which the maximum height occurs:

For x = 3 seconds, the height is:

The maximum height that the ball will reach is 16 meters.

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

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!