away. When shot in the air, one firework will follow the path\(h\left(x\right)=-x^2+15x\), 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)
7.5 feet
\(-15\) feet
15 feet
30 feet
1 answer
To determine how far the firework will travel before it reaches the ground, we need to solve the equation given by the height function:
\[ 0 = -x^2 + 15x \]
We can factor this equation:
\[ 0 = x(-x + 15) \]
This gives us two solutions:
Thus, the firework will travel 15 feet horizontally before it reaches the ground. Therefore, the answer is:
15 feet
