golfer hits a golf ball toward the hole 55 yards away. The ball follows a parabolic path given by the function h(x)=−125x(x−45), where h(x) is the height of the golf ball and x is the horizontal distance it has traveled. Solve the equation to determine how far the ball will have traveled when it hits the ground. How far will the ball need to roll to make it to the hole? 0=−125x(x−45) (1 point) Responses The ball will hit the ground after it has traveled 30 yards. It will need to roll an additional 25 yards to reach the hole. The ball will hit the ground after it has traveled 30 yards. It will need to roll an additional 25 yards to reach the hole. The ball will hit the ground after it has traveled 10 yards. It will need to roll an additional 45 yards to reach the hole. The ball will hit the ground after it has traveled 10 yards. It will need to roll an additional 45 yards to reach the hole. The ball will hit the ground after it has traveled 25 yards. It will need to roll an additional 30 yards to reach the hole. The ball will hit the ground after it has traveled 25 yards. It will need to roll an additional 30 yards to reach the hole. The ball will hit the ground after it has traveled 45 yards. It will need to roll an additional 10 yards to reach the hole. The ball will hit the ground after it has traveled 45 yards. It will need to roll an additional 10 yards to reach the hole. Skip to navigation

Answer 1

To find how far the ball will have traveled when it hits the ground, we need to solve the equation:

0 = -125x(x-45)

To do this, we can set each factor equal to zero and solve:

-125x = 0

x = 0

or

x - 45 = 0

x = 45

So the ball will hit the ground after it has traveled 45 yards.

To find how far the ball will need to roll to make it to the hole, we need to find the horizontal distance the ball has traveled when the height is zero.

So, we set h(x) = 0 and solve:

-125x(x - 45) = 0

Setting each factor equal to zero:

-125x = 0

x = 0

or

x - 45 = 0

x = 45

So the ball will need to roll an additional 45 yards to reach the hole.

Therefore, the correct response is:

The ball will hit the ground after it has traveled 45 yards. It will need to roll an additional 45 yards to reach the hole.