Anna throws a ball in the air from her balcony. the following equation models the height of the ball, in meters, after t seconds. h(t)=5t^2+9t+80 anna wants to rewrite the equation to determine after how many seconds the ball hits the ground. use this situation to complete the following statements. the function that the ball's the ground will be after .

General Idea:

When t represents the time, h(t) represent the height of ball in meters after t seconds and you have an function of the form , and if , then this function will reach maximum height at .

Since time cannot be positive, .

When ball is above the ground, .

When the ball hit the ground

Applying the concept:

Setting up the function equal to zero to find the time it takes for the ball hit the ground.

Conclusion:

The Ball will be above the ground during the time interval.

  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).

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step-by-step explanation: