Brantley tosses a ball out of a window that is 60 ft in the air. its initial velocity is 18 ft per second. the path of the ball is represented by
h = -16t^2+18t+60
how long does ot take for the ball to hit the ground (in seconds) rounded to the nearest hundredth?

  2.58 seconds

Step-by-step explanation:

When you complete the square, you get ...

  h = -16(t -9/16)^2 +60 +81/16

Then the solution for h=0 is ...

  t = (x -9/16)^2 = 1041/256

  t = (9 +√1041)/16 ≈ 2.57903 ≈ 2.58

It takes about 2.58 seconds for the ball to hit the ground.

good luck!

cutie~

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).