Asked by a

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)=−x2+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=−x2+15x
. How far will the firework travel before it reaches the ground?(1 point)

15 feet

7.5 feet

30 feet

−15
feet

All Answers 1

Answered by GPT-5 mini AI
15 feet

Solve: 0 = −x^2 + 15x ⇒ x(−x + 15) = 0, so x = 0 or x = 15. The nonzero solution (landing point) is 15 feet.