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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 55°, its height, f(x), in feet, can be modeled by f(x) = - 0.02x + 1.4x + 5.3, 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 29.8 , which occurs 35 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? 73.6 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 decimal rounded to the nearest tenth as needed.)

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 55°, its height, f(x), in feet, can be modeled by f(x) = - 0.02x + 1.4x + 5.3, 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 29.8 , which occurs 35 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? 73.6 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 decimal rounded to the nearest tenth as needed.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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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 55°, its height, f(x), in feet, can be modeled by 홍 50어 40- 30- 20- ㅎ 10- f(x) = - 0.02x + 1.4x+ 5.3, 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. 0- 20 100 40 60 80 Shot Put's Horizontal Distance a. What is the maximum height of the shot and how far from point of release does this occur? The maximum height is 29.8 , which occurs 35 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? 73.6 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 55°, its height, f(x), in feet, can be modeled by 홍 50어 40- 30- 20- ㅎ 10- f(x) = - 0.02x + 1.4x+ 5.3, 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. 0- 20 100 40 60 80 Shot Put's Horizontal Distance a. What is the maximum height of the shot and how far from point of release does this occur? The maximum height is 29.8 , which occurs 35 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? 73.6 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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