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) Responses 15 feet 15 feet 30 feet 30 feet 7.5 feet 7.5 feet −15 feet negative 15 feet
To determine how far the firework will travel before it reaches the ground, we need to solve the quadratic equation 0=−x^2+15x.
To solve for x, we can factor the equation as follows: 0 = -x(x-15)
Setting each factor equal to zero, we have:
x = 0 or x-15 = 0
x = 0 or x = 15
So, the firework will travel 15 feet before it reaches the ground.