A child stands at the foot of a tall slide and throws a ball toward the top of the slide. The foot of the slide is located at the origin; the shape of the slide is modeled by the equation y = 2x; the path of the ball through the air is modeled by y = -x? + 5x, where x is the horizontal distance traveled by the ball and y is the height of the ball (both distances in feet). When the ball hits the slide, how many feet off the ground will it be?

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 15CYU
icon
Related questions
icon
Concept explainers
Topic Video
Question
When the ball hits the slide, how many feet off the ground will it be?
A child stands at the foot of a tall slide and throws a ball toward the top of the slide. The foot of
the slide is located at the origin; the shape of the slide is modeled by the equation y = 2x; the
path of the ball through the air is modeled by y = -x? + 5x, where x is the horizontal distance
traveled by the ball and y is the height of the ball (both distances in feet). When the ball hits the
slide, how many feet off the ground will it be?
Transcribed Image Text:A child stands at the foot of a tall slide and throws a ball toward the top of the slide. The foot of the slide is located at the origin; the shape of the slide is modeled by the equation y = 2x; the path of the ball through the air is modeled by y = -x? + 5x, where x is the horizontal distance traveled by the ball and y is the height of the ball (both distances in feet). When the ball hits the slide, how many feet off the ground will it be?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Application of Algebra
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
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
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
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL