SOLUTION: A penalty kick in soccer is made from a penalty mark that is 36ft from a goal that is 8ft high. A possible equation for the flight of a penalty kick is h= -0.002x*2 + 0.35x,

Question 63864This question is from textbook Intermediate Algebra with Applications
: A penalty kick in soccer is made from a penalty mark that is 36ft from a goal that is 8ft high. A possible equation for the flight of a penalty kick is h= -0.002x*2 + 0.35x, where h is the height ( in feet) of the ball x feet from the penalty mark. Assuming that the flight of the kick is toward the goal and that it is not touched by the goalie, will the ball land in the net? This question is from textbook Intermediate Algebra with Applications

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A penalty kick in soccer is made from a penalty mark that is 36ft from a goal that is 8ft high. A possible equation for the flight of a penalty kick is h= -0.002x*2 + 0.35x, where h is the height ( in feet) of the ball x feet from the penalty mark. Assuming that the flight of the kick is toward the goal and that it is not touched by the goalie, will the ball land in the net?
:
Substitute 36 for x in -.002x^2 + .35x and see if h is less than 8 ft
:
h = -.002(36^2) + .35(36)
h = -.002(1296) + 12.62
h = - 2.592 + 12.62
h = 10.028 ft, so it will clear the top of the goal by a couple feet.

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