A bungee jumper leaps from a bridge 97 meters over a gorge. Before the 40-meter-long bungee begins to slow him down, his height is characterized by h (t)=-4.9t2+97. Two seconds after he Jumps, a car on the bridge blows out a tire. The sound of the tire blow-out moves down from the top of the bridge at the speed of sound and has a height glven by h (t) =-340t +777. How high will the bungee jumper be when he hears the sound of the blowout? If necessary, round your answer to the nearest hundredth.
A bungee jumper leaps from a bridge 97 meters over a gorge. Before the 40-meter-long bungee begins to slow him down, his height is characterized by h (t)=-4.9t2+97. Two seconds after he Jumps, a car on the bridge blows out a tire. The sound of the tire blow-out moves down from the top of the bridge at the speed of sound and has a height glven by h (t) =-340t +777. How high will the bungee jumper be when he hears the sound of the blowout? If necessary, round your answer to the nearest hundredth.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question

Transcribed Image Text:Create and solve a linear quadratic system to solve the problem.
A bungee jumper leaps from a bridge 97 meters over a gorge. Before the 40-meter-long bungee begins
to slow him down his helght is characterized by h (t)=4.91+97. Two seconds after he jumps,a car on
the bridge blows out a tire. The sound of the tire blow-out moves down from the top of the bridge at the
speed of sound and has a helght glven by h (t)=-340t+777. How high will the bungee jumper be when
he hears the sound of the blowout? If necessary, round your answer to the nearest hundredth.
Give the system of equations.
h(t)=-49r2+97
The solutions appear to be about (
) and
).
The jumper hears the tire blow-out at a height of about
meters.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Knowledge Booster
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

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education