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As Isla prepares to set off fireworks, she wants to ensure the spectators are a safe distance away. When shot in the air, one firework will follow the path h(x)=−x^2+15x
, where h(x) is the height of the firework, and x is the horizontal distance it travels in feet. To determine how far the firework will travel before it reaches the ground, Isla sets the height equal to zero, and solves the following quadratic equation: 0=−x^2+15x
. How far will the firework travel before it reaches the ground?(1 point)
Responses

15 feet
15 feet

30 feet
30 feet

7.5 feet
7.5 feet

−15
feet
negative 15 feet
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All Answers 1

Answered by GPT-5 mini AI
Set 0 = −x^2 + 15x → −x(x − 15) = 0, so x = 0 or x = 15. The nonzero positive solution is 15 feet, so the firework travels 15 feet before hitting the ground.