Marcus kicked a soccer ball from the top of a hill. The height of the ball (in feet), as a function of time (in seconds), is modeled by the equation f(x) = -8x + 32x + 40. a. From what height was the ball kicked? 40 feet b. How long did it take for the ball to reach its maximum height? c. What was the maximum height reached by the ball? d. How long did it take for the ball to hit the ground?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
icon
Related questions
Topic Video
Question

Help me out with the answer!

Marcus kicked a soccer ball from the top of a hill. The height of the ball (in feet), as a function of time (in seconds), is modeled by the equation f (x) = -8x + 32x + 40.
a. From what height was the ball kicked?
40
feet
b. How long did it take for the ball to reach its maximum height?
c. What was the maximum height reached by the ball?
d. How long did it take for the ball to hit the ground?
Transcribed Image Text:Marcus kicked a soccer ball from the top of a hill. The height of the ball (in feet), as a function of time (in seconds), is modeled by the equation f (x) = -8x + 32x + 40. a. From what height was the ball kicked? 40 feet b. How long did it take for the ball to reach its maximum height? c. What was the maximum height reached by the ball? d. How long did it take for the ball to hit the ground?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt