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An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 65°, its height, f(x), in feet, can be modeled by f(x) = - 0.04x? + 2.1x + 5.8, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. 20 40 60 80 100 Shot Put's Horizontal Distance a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is which occurs feet from the point release. (Type an integer or decimal rounded to four decimal places as needed.) b. What the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw? feet (Type an integer or decimal rounded to the nearest tenth as needed.) c. From what height was the shot released? O feet (Type an integer or decimal rounded to the nearest tenth as needed.) Shot Put's Height

An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 65°, its height, f(x), in feet, can be modeled by f(x) = - 0.04x? + 2.1x + 5.8, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. 20 40 60 80 100 Shot Put's Horizontal Distance a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is which occurs feet from the point release. (Type an integer or decimal rounded to four decimal places as needed.) b. What the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw? feet (Type an integer or decimal rounded to the nearest tenth as needed.) c. From what height was the shot released? O feet (Type an integer or decimal rounded to the nearest tenth as needed.) Shot Put's Height

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 59HP
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An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 65°, its height, f(x), in feet, can be modeled by E 50- f(x) = - 0.04x2 + 2.1x + 5.8, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. 40- 30- 20- 10- 0- 40 60 80 Shot Put's Horizontal Distance 20 100 ..... a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is, which occurs feet from the point of release. (Type an integer or decimal rounded to four decimal places as needed.) b. What is the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw? feet (Type an integer or decimal rounded to the nearest tenth as needed.) c. From what height was the shot released? feet (Type an integer or decimal rounded to the nearest tenth as needed.) Shot Put's Height
Transcribed Image Text:An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 65°, its height, f(x), in feet, can be modeled by E 50- f(x) = - 0.04x2 + 2.1x + 5.8, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. 40- 30- 20- 10- 0- 40 60 80 Shot Put's Horizontal Distance 20 100 ..... a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is, which occurs feet from the point of release. (Type an integer or decimal rounded to four decimal places as needed.) b. What is the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw? feet (Type an integer or decimal rounded to the nearest tenth as needed.) c. From what height was the shot released? feet (Type an integer or decimal rounded to the nearest tenth as needed.) Shot Put's Height
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