When set off, a certain firework follows the path of the quadratic function h=−2536x2+1623x , where:
h= the height of the firework in feet.
x= the horizontal distance it travels in feet.
To determine how far the firework will travel before reaching the ground, determine which value of x in table is a solution to the equation 0=−2536x2+1623x .
(1 point)
To determine how far the firework will travel before reaching the ground, we need to find the value of x when h = 0. This means we need to solve the equation -2536x^2 + 1623x = 0.
Factoring out x, we have x(-2536x + 1623) = 0.
Setting each factor equal to zero gives us x = 0 or -2536x + 1623 = 0.
Solving -2536x + 1623 = 0, we get x = 1623/2536 ≈ 0.6395.
Therefore, the value of x that represents how far the firework will travel before reaching the ground is approximately 0.6395 feet.