To determine how far the firework will travel before it reaches the ground, we need to solve the quadratic equation -x^2 + 15x = 0.
To solve this equation, we can factor out an x from both terms:
x(-x + 15) = 0
This equation will be true when either x = 0 or -x + 15 = 0.
Solving -x + 15 = 0 for x, we get:
x = 15
Therefore, the firework will travel 15 feet before it reaches the ground.
Question
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
negative 15 feet
7.5 feet
7.5 feet
30 feet
30 feet
15 feet
15 feet
1 answer
1 answer