A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 2 feet, 75 feet away from the player. The height $y$y​ (in feet) of a second hockey puck is modeled by $y=x\left(0.09-0.0009x\right)$y=x(0.09−0.0009x)​ , where $x$x​ is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 2 feet, 75 feet away from the player. The height $y$y​ (in feet) of a second hockey puck is modeled by $y=x\left(0.09-0.0009x\right)$y=x(0.09−0.0009x)​ , where $x$x​ is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground. 

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