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A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be approximated by the quadratic function h(x) = –0.06x² + 3.168x – 35.34, where x is the horizontal distance travelled, in metres, from the goal line and h is the height, in metres. a) You can determine the distance the soccer ball is from the goal line by solving the corresponding equation, -0.06x² + 3.168x – 35.34 = 0. How far is the soccer ball from the goal line when it is kicked? Express your answer to the nearest tenth of a metre. b) How far does the soccer ball travel before it hits the ground?

A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be approximated by the quadratic function h(x) = –0.06x² + 3.168x – 35.34, where x is the horizontal distance travelled, in metres, from the goal line and h is the height, in metres. a) You can determine the distance the soccer ball is from the goal line by solving the corresponding equation, -0.06x² + 3.168x – 35.34 = 0. How far is the soccer ball from the goal line when it is kicked? Express your answer to the nearest tenth of a metre. b) How far does the soccer ball travel before it hits the ground?

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...
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A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be approximated by the quadratic function h(x) = –0.06x² + 3.168x – 35.34, where x is the horizontal distance travelled, in metres, from the goal line and h is the height, in metres. a) You can determine the distance the soccer ball is from the goal line by solving the corresponding equation, -0.06x² + 3.168x – 35.34 = 0. How far is the soccer ball from the goal line when it is kicked? Express your answer to the nearest tenth of a metre. b) How far does the soccer ball travel before it hits the ground?
Transcribed Image Text:A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be approximated by the quadratic function h(x) = –0.06x² + 3.168x – 35.34, where x is the horizontal distance travelled, in metres, from the goal line and h is the height, in metres. a) You can determine the distance the soccer ball is from the goal line by solving the corresponding equation, -0.06x² + 3.168x – 35.34 = 0. How far is the soccer ball from the goal line when it is kicked? Express your answer to the nearest tenth of a metre. b) How far does the soccer ball travel before it hits the ground?
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