BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

15th Edition

ISBN: 9781608408405

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Cengage Learning

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Question

Chapter 3, Problem 13CT

To determine

To calculate: The distance x for which the arch more than 200 feet above the ground.

Expert Solution & Answer

Answer to Problem 13CT

The required distance is x∈(54.715,580.205) .

Explanation of Solution

Given information:

The equation: y=−0.0063x2+4x

The inequality: y>200

Calculation:

The given equation is y=−0.0063x2+4x

The inequality is y>200

To find the distance x , graph the above equation and inequality.

The graph of equation and the inequality is shown below:

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 3, Problem 13CT

In the above graph, the equation and the inequality intersect each other at the points (54.715,200) and (580.205,200) .

From the two points write the values of x as 54.715 and 580.205 that is, x∈(54.715,580.205) .

Hence, the required distance is x∈(54.715,580.205) .

Chapter 3, Problem 12CT

Chapter 3, Problem 14CT

Chapter 3 Solutions

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

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