Question

The expression −5x² 10x² models the altitude, in feet, of a toy rocket after x seconds. what is the initial altitude of the toy rocket?

Answer 1

The initial altitude of the toy rocket in the expression −5x² + 10x² is 0 feet because there is no constant term in the quadratic expression, indicating the initial position at x=0 is 0.

Step-by-step explanation:

The expression to model the altitude of a toy rocket after x seconds is given as −5x² + 10x². To find the initial altitude, we need to look at the value when x = 0. The initial altitude of the toy rocket is represented by the constant term in the expression, which in this case happens to be missing, suggesting that it is 0. This implies that the expression does not have a constant term, and the rocket starts from an altitude of 0 feet. Therefore, the initial altitude of the toy rocket is 0 feet.