High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Concept explainers

Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Question
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Chapter 5, Problem 28CR
To determine

whether the graphs of the two equations are parallel, perpendicular, or neither.

Expert Solution & Answer
Check Mark

Answer to Problem 28CR

The graphs of the two equations are parallel

Explanation of Solution

Given information: The two equations are y=6x+2, 18x−3y=15

Consider the equation y=6x+2

This equation is in slope intercept form y=mx+c where m represents slope of the line and c represents the y-intercept.

So,

Slope of the line y=6x+2 is equal to 6 .

Now consider the equation 18x−3y=15

First convert this equation in slope intercept form.

  18x−3y=15⇒3y=18x−15⇒y=18x−153=18x3−153=6x−5

So,

  y=6x−5

Compare this equation with y=mx+c

So, slope of the line y=6x−5 is 6

Therefore,

Slope of the line y=6x+2 = slope of the line y=6x−5(18x−3y=15)

Use the fact that two lines are said to be parallel if their slopes are equal.

So,

The graphs of the two equations are parallel

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Chapter 5, Problem 27CR
Next
Chapter 5, Problem 29CR

Chapter 5 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 1LCCh. 5.1 - Prob. 2LCCh. 5.1 - Prob. 3LCCh. 5.1 - Prob. 4LCCh. 5.1 - Prob. 5LCCh. 5.1 - Prob. 6LC
Ch. 5.1 - Prob. 7LCCh. 5.1 - Prob. 8PPECh. 5.1 - Prob. 9PPECh. 5.1 - Prob. 10PPECh. 5.1 - Prob. 11PPECh. 5.1 - Prob. 12PPECh. 5.1 - Prob. 13PPECh. 5.1 - Prob. 14PPECh. 5.1 - Prob. 15PPECh. 5.1 - Prob. 16PPECh. 5.1 - Prob. 17PPECh. 5.1 - Prob. 18PPECh. 5.1 - Prob. 19PPECh. 5.1 - Prob. 20PPECh. 5.1 - Prob. 21PPECh. 5.1 - Prob. 22PPECh. 5.1 - Prob. 23PPECh. 5.1 - Prob. 24PPECh. 5.1 - Prob. 25PPECh. 5.1 - Prob. 26PPECh. 5.1 - Prob. 27PPECh. 5.1 - Prob. 28PPECh. 5.1 - Prob. 29PPECh. 5.1 - Prob. 30PPECh. 5.1 - Prob. 31PPECh. 5.1 - Prob. 32PPECh. 5.1 - Prob. 33PPECh. 5.1 - Prob. 34PPECh. 5.1 - Prob. 35PPECh. 5.1 - Prob. 36PPECh. 5.1 - Prob. 37PPECh. 5.1 - Prob. 38PPECh. 5.1 - Prob. 39PPECh. 5.1 - Prob. 40PPECh. 5.1 - Prob. 41PPECh. 5.1 - Prob. 42PPECh. 5.1 - Prob. 43PPECh. 5.1 - Prob. 44PPECh. 5.1 - Prob. 45PPECh. 5.1 - Prob. 46PPECh. 5.1 - Prob. 47PPECh. 5.1 - Prob. 48PPECh. 5.1 - Prob. 49PPECh. 5.1 - Prob. 50PPECh. 5.1 - Prob. 51PPECh. 5.1 - Prob. 52PPECh. 5.1 - Prob. 53PPECh. 5.1 - Prob. 54PPECh. 5.1 - Prob. 55PPECh. 5.1 - Prob. 56PPECh. 5.1 - Prob. 57PPECh. 5.1 - Prob. 58PPECh. 5.1 - Prob. 1MPCh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 1LCCh. 5.2 - Prob. 2LCCh. 5.2 - Prob. 3LCCh. 5.2 - Prob. 4LCCh. 5.2 - Prob. 5LCCh. 5.2 - Prob. 6LCCh. 5.2 - Prob. 7LCCh. 5.2 - Prob. 8LCCh. 5.2 - Prob. 9PPECh. 5.2 - Prob. 10PPECh. 5.2 - Prob. 11PPECh. 5.2 - Prob. 12PPECh. 5.2 - Prob. 13PPECh. 5.2 - Prob. 14PPECh. 5.2 - Prob. 15PPECh. 5.2 - Prob. 16PPECh. 5.2 - Prob. 17PPECh. 5.2 - Prob. 18PPECh. 5.2 - Prob. 19PPECh. 5.2 - Prob. 20PPECh. 5.2 - Prob. 21PPECh. 5.2 - Prob. 22PPECh. 5.2 - Prob. 23PPECh. 5.2 - Prob. 24PPECh. 5.2 - Prob. 25PPECh. 5.2 - Prob. 26PPECh. 5.2 - Prob. 27PPECh. 5.2 - Prob. 28PPECh. 5.2 - Prob. 29PPECh. 5.2 - Prob. 30PPECh. 5.2 - Prob. 31PPECh. 5.2 - Prob. 32PPECh. 5.2 - Prob. 33PPECh. 5.2 - Prob. 34PPECh. 5.2 - Prob. 35PPECh. 5.2 - Prob. 36PPECh. 5.2 - Prob. 37PPECh. 5.2 - Prob. 38PPECh. 5.2 - Prob. 39PPECh. 5.2 - Prob. 40PPECh. 5.2 - Prob. 41PPECh. 5.2 - 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Prob. 5MCQCh. 5.4 - Prob. 6MCQCh. 5.4 - Prob. 7MCQCh. 5.4 - Prob. 8MCQCh. 5.4 - Prob. 9MCQCh. 5.4 - Prob. 10MCQCh. 5.4 - Prob. 11MCQCh. 5.4 - Prob. 12MCQCh. 5.4 - Prob. 13MCQCh. 5.4 - Prob. 14MCQCh. 5.4 - Prob. 15MCQCh. 5.4 - Prob. 16MCQCh. 5.4 - Prob. 17MCQCh. 5.4 - Prob. 18MCQCh. 5.4 - Prob. 19MCQCh. 5.4 - Prob. 20MCQCh. 5.4 - Prob. 21MCQCh. 5.4 - Prob. 22MCQCh. 5.4 - Prob. 23MCQCh. 5.4 - Prob. 24MCQCh. 5.4 - Prob. 25MCQCh. 5.4 - Prob. 26MCQCh. 5.5 - Prob. 1PCh. 5.5 - Prob. 2PCh. 5.5 - Prob. 3PCh. 5.5 - Prob. 4PCh. 5.5 - Prob. 5PCh. 5.5 - Prob. 1LCCh. 5.5 - Prob. 2LCCh. 5.5 - Prob. 3LCCh. 5.5 - Prob. 4LCCh. 5.5 - Prob. 5LCCh. 5.5 - Prob. 6LCCh. 5.5 - Prob. 7LCCh. 5.5 - Prob. 8PPECh. 5.5 - Prob. 9PPECh. 5.5 - Prob. 10PPECh. 5.5 - Prob. 11PPECh. 5.5 - Prob. 12PPECh. 5.5 - Prob. 13PPECh. 5.5 - Prob. 14PPECh. 5.5 - Prob. 15PPECh. 5.5 - Prob. 16PPECh. 5.5 - Prob. 17PPECh. 5.5 - Prob. 18PPECh. 5.5 - Prob. 19PPECh. 5.5 - Prob. 20PPECh. 5.5 - Prob. 21PPECh. 5.5 - Prob. 22PPECh. 5.5 - Prob. 23PPECh. 5.5 - Prob. 24PPECh. 5.5 - Prob. 25PPECh. 5.5 - Prob. 26PPECh. 5.5 - Prob. 27PPECh. 5.5 - Prob. 28PPECh. 5.5 - Prob. 29PPECh. 5.5 - Prob. 30PPECh. 5.5 - Prob. 31PPECh. 5.5 - Prob. 32PPECh. 5.5 - Prob. 33PPECh. 5.5 - Prob. 34PPECh. 5.5 - Prob. 35PPECh. 5.5 - Prob. 36PPECh. 5.5 - Prob. 37PPECh. 5.5 - Prob. 38PPECh. 5.5 - Prob. 39PPECh. 5.5 - Prob. 40PPECh. 5.5 - Prob. 41PPECh. 5.5 - Prob. 42PPECh. 5.5 - Prob. 43PPECh. 5.5 - Prob. 44PPECh. 5.5 - Prob. 45PPECh. 5.5 - Prob. 46PPECh. 5.5 - Prob. 47PPECh. 5.5 - Prob. 48PPECh. 5.5 - Prob. 49PPECh. 5.5 - Prob. 50PPECh. 5.5 - Prob. 51PPECh. 5.5 - Prob. 52PPECh. 5.5 - Prob. 53PPECh. 5.5 - Prob. 54PPECh. 5.5 - Prob. 55PPECh. 5.5 - Prob. 56PPECh. 5.5 - Prob. 57PPECh. 5.5 - Prob. 58PPECh. 5.5 - Prob. 59PPECh. 5.5 - Prob. 60PPECh. 5.5 - Prob. 61PPECh. 5.5 - Prob. 62PPECh. 5.5 - Prob. 63PPECh. 5.5 - Prob. 64STPCh. 5.5 - Prob. 65STPCh. 5.5 - Prob. 66STPCh. 5.5 - Prob. 67STPCh. 5.5 - Prob. 68STPCh. 5.5 - Prob. 69MRCh. 5.5 - Prob. 70MRCh. 5.5 - Prob. 71MRCh. 5.5 - Prob. 72MRCh. 5.5 - Prob. 73MRCh. 5.5 - Prob. 74MRCh. 5.5 - Prob. 75MRCh. 5.5 - Prob. 76MRCh. 5.5 - Prob. 77MRCh. 5.5 - Prob. 1CBCh. 5.5 - Prob. 2CBCh. 5.5 - Prob. 3CBCh. 5.5 - Prob. 4CBCh. 5.5 - Prob. 5CBCh. 5.5 - Prob. 6CBCh. 5.5 - Prob. 7CBCh. 5.5 - Prob. 8CBCh. 5.5 - Prob. 9CBCh. 5.5 - Prob. 10CBCh. 5.5 - Prob. 11CBCh. 5.5 - Prob. 12CBCh. 5.5 - Prob. 13CBCh. 5.5 - Prob. 14CBCh. 5.5 - Prob. 15CBCh. 5.5 - Prob. 16CBCh. 5.5 - Prob. 17CBCh. 5.5 - Prob. 18CBCh. 5.5 - Prob. 19CBCh. 5.6 - Prob. 1PCh. 5.6 - Prob. 2PCh. 5.6 - Prob. 3PCh. 5.6 - Prob. 4PCh. 5.6 - Prob. 1LCCh. 5.6 - Prob. 2LCCh. 5.6 - Prob. 3LCCh. 5.6 - Prob. 4LCCh. 5.6 - Prob. 5LCCh. 5.6 - Prob. 6LCCh. 5.6 - Prob. 7PPECh. 5.6 - Prob. 8PPECh. 5.6 - Prob. 9PPECh. 5.6 - Prob. 10PPECh. 5.6 - Prob. 11PPECh. 5.6 - Prob. 12PPECh. 5.6 - Prob. 13PPECh. 5.6 - Prob. 14PPECh. 5.6 - Prob. 15PPECh. 5.6 - Prob. 16PPECh. 5.6 - Prob. 17PPECh. 5.6 - Prob. 18PPECh. 5.6 - Prob. 19PPECh. 5.6 - Prob. 20PPECh. 5.6 - Prob. 21PPECh. 5.6 - Prob. 22PPECh. 5.6 - Prob. 23PPECh. 5.6 - Prob. 24PPECh. 5.6 - Prob. 25PPECh. 5.6 - Prob. 26PPECh. 5.6 - Prob. 27PPECh. 5.6 - Prob. 28PPECh. 5.6 - Prob. 29PPECh. 5.6 - Prob. 30PPECh. 5.6 - Prob. 31PPECh. 5.6 - Prob. 32PPECh. 5.6 - Prob. 33PPECh. 5.6 - Prob. 34PPECh. 5.6 - Prob. 35PPECh. 5.6 - Prob. 36PPECh. 5.6 - Prob. 37PPECh. 5.6 - Prob. 38STPCh. 5.6 - Prob. 39STPCh. 5.6 - Prob. 40STPCh. 5.6 - Prob. 41MRCh. 5.6 - Prob. 42MRCh. 5.6 - Prob. 43MRCh. 5.6 - Prob. 44MRCh. 5.6 - Prob. 45MRCh. 5.6 - Prob. 46MRCh. 5.6 - Prob. 47MRCh. 5.7 - Prob. 1PCh. 5.7 - Prob. 2PCh. 5.7 - Prob. 3PCh. 5.7 - Prob. 4PCh. 5.7 - Prob. 1LCCh. 5.7 - Prob. 2LCCh. 5.7 - Prob. 3LCCh. 5.7 - Prob. 4LCCh. 5.7 - Prob. 5LCCh. 5.7 - Prob. 6LCCh. 5.7 - Prob. 7PPECh. 5.7 - Prob. 8PPECh. 5.7 - Prob. 9PPECh. 5.7 - Prob. 10PPECh. 5.7 - Prob. 11PPECh. 5.7 - Prob. 12PPECh. 5.7 - Prob. 13PPECh. 5.7 - Prob. 14PPECh. 5.7 - Prob. 15PPECh. 5.7 - Prob. 16PPECh. 5.7 - Prob. 17PPECh. 5.7 - Prob. 18PPECh. 5.7 - Prob. 19PPECh. 5.7 - Prob. 20PPECh. 5.7 - Prob. 21PPECh. 5.7 - Prob. 22PPECh. 5.7 - Prob. 23STPCh. 5.7 - Prob. 24STPCh. 5.7 - Prob. 25STPCh. 5.7 - Prob. 26STPCh. 5.7 - Prob. 27MRCh. 5.7 - Prob. 28MRCh. 5.7 - Prob. 29MRCh. 5.7 - Prob. 30MRCh. 5.7 - Prob. 31MRCh. 5.7 - Prob. 32MRCh. 5.7 - Prob. 33MRCh. 5.7 - Prob. 5CBCh. 5.7 - Prob. 6CBCh. 5.8 - Prob. 1PCh. 5.8 - Prob. 2PCh. 5.8 - Prob. 3PCh. 5.8 - Prob. 4PCh. 5.8 - Prob. 1LCCh. 5.8 - Prob. 2LCCh. 5.8 - Prob. 3LCCh. 5.8 - Prob. 4LCCh. 5.8 - Prob. 5LCCh. 5.8 - Prob. 6PPECh. 5.8 - Prob. 7PPECh. 5.8 - Prob. 8PPECh. 5.8 - Prob. 9PPECh. 5.8 - Prob. 10PPECh. 5.8 - Prob. 11PPECh. 5.8 - Prob. 12PPECh. 5.8 - Prob. 13PPECh. 5.8 - Prob. 14PPECh. 5.8 - Prob. 15PPECh. 5.8 - Prob. 16PPECh. 5.8 - Prob. 17PPECh. 5.8 - Prob. 18PPECh. 5.8 - Prob. 19PPECh. 5.8 - Prob. 20PPECh. 5.8 - Prob. 21PPECh. 5.8 - Prob. 22PPECh. 5.8 - Prob. 23PPECh. 5.8 - Prob. 24PPECh. 5.8 - Prob. 25PPECh. 5.8 - Prob. 26PPECh. 5.8 - Prob. 27PPECh. 5.8 - Prob. 28PPECh. 5.8 - Prob. 29PPECh. 5.8 - Prob. 30PPECh. 5.8 - Prob. 31PPECh. 5.8 - Prob. 32PPECh. 5.8 - 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