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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.

y=-16x^2+239x+127

User Tdelev
by
5.4k points

1 Answer

4 votes

Answer:

7.47 seconds

Explanation:

From the quadratic equation the x coordinate of the vertex is

x = -b/(2a)

---------------------------

y = -16x² + 239x + 127

x = -239/ ( 2 * (-16) )

x = -239 / (-32)

x = 7.46875

Rounded

x = 7.47

User Thibault Witzig
by
5.6k points