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25 July, 14:48

The height of a small rise in a roller coaster track is modeled by f (x) = - 0.07x^2 + 0.42x + 6.37 where x is the distance in feet from a supported pole at ground level. 1. Find the greatest height of the rise.

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  1. 25 July, 15:34
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    Answer:6.37

    Step-by-step explanation:

    f (x) = - 0.07x² + 0.42x + 6.37

    1. Find the x-coordinate. x = - (b/2a)

    = - (0.42/-0.07) = 6

    x=6

    2. Find the corresponding y-coordinate.

    f (x) = - 0.07x² + 0.42x + 6.37

    substitute x with 6

    -0.07 (6) ²+0.42 (6) + 6.37

    Simplify

    -2.52+2.52+6.37=

    6.37
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