Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 3, Problem 3E
To determine

To calculate: The system of inequalities and graph the region that depicts the number of packages of paint brushes and colored pencils that can be purchased. Also state the three different solutions to the system.

Expert Solution & Answer
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Answer to Problem 3E

The system of inequalities is x≥2,y≥2 and 4.75x+6.5y≤50 . Graph is provided below,

  Algebra 2, Chapter 3, Problem 3E , additional homework tip 1

The possible solution to system of equations are (2,6.2),(2,2) and (7.8,2).

Explanation of Solution

Given information:

The total amount of money that can be spent is $50 to buy paint brushes and colored pencil. Mr. Williams needs at least 2 packages of paint brushes and colored pencils. The cost of package of paint brushes is $4.75 and a package of colored pencils costs $6.50.

Calculation:

Let the number of packages of paint brushes purchased be x , and number of packages of colored pencils purchased be y .

It is provided that the total amount of money that can be spent is $50 to buy paint brushes and colored pencil. The cost of package of paint brushes is $4.75 and a package of colored pencils costs $6.50.

Therefore,

  4.75x+6.5y≤50

Mr. Williams needs at least 2 packages of paint brushes and colored pencils.

Therefore,

  x≥2y≥2

Shaded the region that is common to inequalities x≥2,y≥2 and 4.75x+6.5y≤50.

  Algebra 2, Chapter 3, Problem 3E , additional homework tip 2

The solution are the vertex of the triangle which is the common region of the inequalities. (2,6.2),(2,2) and (7.8,2)

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Chapter 3, Problem 2E
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Chapter 3, Problem 4E

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2ACYPCh. 3.1 - Prob. 2BCYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYPCh. 3.1 - Prob. 4CCYPCh. 3.1 - Prob. 4DCYPCh. 3.1 - Prob. 1CYU
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Prob. 30HPCh. 3.5 - Prob. 31HPCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34STPCh. 3.5 - Prob. 35STPCh. 3.5 - Prob. 36STPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39SCh. 3.5 - Prob. 40SCh. 3.5 - Prob. 41SCh. 3.5 - Prob. 42SCh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 7QCCh. 3 - Prob. 8QCCh. 3 - Prob. 9QCCh. 3 - Prob. 10QCCh. 3 - Prob. 11QCCh. 3 - Prob. 12QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - 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