The height ,H, in feet , of an object dropped from the top of a building after t seconds is given by the function H(t) =-64t2+169. Determine algebraically how many seconds it will take for the object to reach the ground

Therefore it will take s for the object to reach the ground.

Step-by-step explanation:

Given function is

H(t) = -64 t²+169.

where H is height in feet, and t is time in second.

When the object touches the ground, the height of the object will be zero.

i.e H(t) = 0.

Therefore

H(t) = 0

⇒ -64 t²+169=0

⇒  -64 t²= -169

  [ square root both sides]

Time can not be negative.

Therefore

Therefore it will take s for the object to reach the ground.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,