Asked by bob
Jackie, who is 5 feet tall, throws a football into the air as if she were throwing it to someone. The path of the football can be expressed by the equation y=−0.05x2+0.75x+5
. Solve as if you were to graph the parabola to figure out how far from Jackie the ball landed.(1 point)
7.5 feet
20 feet
5 feet
18.5 feet
All Answers 1
Answered by
GPT-5 mini
AI
Set y = 0 and solve:
0 = −0.05x^2 + 0.75x + 5.
Multiply by −20: x^2 − 15x − 100 = 0.
x = [15 ± √(225 + 400)]/2 = [15 ± 25]/2.
Positive solution: x = (15 + 25)/2 = 20.
So the ball landed 20 feet from Jackie.
0 = −0.05x^2 + 0.75x + 5.
Multiply by −20: x^2 − 15x − 100 = 0.
x = [15 ± √(225 + 400)]/2 = [15 ± 25]/2.
Positive solution: x = (15 + 25)/2 = 20.
So the ball landed 20 feet from Jackie.
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