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Math

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A baseball player hits a baseball into the outfield. The equation h= -0.005x^2 +x+3 give the path of the ball, where (h) is the height and (x) is the horizontal distance the ball travels.

An outfielder catches 3 ft above the ground. How far has the ball traveled horizontally when the outfielder catches it.

  • Math - ,

    to do this, we substitute h = 3 to the equation and solve for x:
    h = -0.005x^2 + x + 3
    3 = -0.005x^2 + x + 3
    0 = -0.005x^2 + x
    0 = x(-0.005x + 1)
    x = 0 (this is extraneous)
    x = 1/0.005 = 200 ft

    hope this helps~ :)

  • Math - ,

    Thank you so much!!! I got the first 2 but I didn't have a clue on that

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