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

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.
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Chapter 7.6, Problem 31PPE
To determine

Tosolve:The given equation.

Expert Solution & Answer
Check Mark

Answer to Problem 31PPE

The solutions of equation x+3=3x are x=−2.961 and x=1.335 .

Explanation of Solution

Given information:

The given equation is x+3=3x

Method used:

Let y1 and y2 be the function corresponding to Left Hand Side and Right hand side of the given equation, then the point of intersection of graphs of y1 and y2 is the solution of given equation.

Graph:

The given equation is x+3=3x .

Let y1=x+3 and y2=3x . The graphs of functions y1(x)=x+3 and y2(x)=3x are shown in Figure-1 here.

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 7.6, Problem 31PPE

We see that the graphs of functions y1(x)=x+3 and y2(x)=3x coincide at points A(−2.961,0.039) and B(1.335,4.335) . That shows x+3=3x at x=−2.961 and x=1.335 .

Hence, x=−2.961 and x=1.335 are the solutions of equation x+3=3x .

Conclusion:

The solutions of equation x+3=3x are x=−2.961 and x=1.335 .

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Chapter 7.6, Problem 32PPE

Chapter 7 Solutions

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

Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 2PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Prob. 1LCCh. 7.1 - Prob. 2LCCh. 7.1 - Prob. 3LCCh. 7.1 - Prob. 4LCCh. 7.1 - Prob. 5LCCh. 7.1 - Prob. 6LC
Ch. 7.1 - Prob. 7LCCh. 7.1 - Prob. 8LCCh. 7.1 - Prob. 9PPECh. 7.1 - Prob. 10PPECh. 7.1 - Prob. 11PPECh. 7.1 - Prob. 12PPECh. 7.1 - Prob. 13PPECh. 7.1 - Prob. 14PPECh. 7.1 - Prob. 15PPECh. 7.1 - Prob. 16PPECh. 7.1 - Prob. 17PPECh. 7.1 - Prob. 18PPECh. 7.1 - Prob. 19PPECh. 7.1 - Prob. 20PPECh. 7.1 - Prob. 21PPECh. 7.1 - Prob. 22PPECh. 7.1 - Prob. 23PPECh. 7.1 - Prob. 24PPECh. 7.1 - Prob. 25PPECh. 7.1 - Prob. 26PPECh. 7.1 - Prob. 27PPECh. 7.1 - Prob. 28PPECh. 7.1 - Prob. 29PPECh. 7.1 - Prob. 30PPECh. 7.1 - Prob. 31PPECh. 7.1 - Prob. 32PPECh. 7.1 - Prob. 33PPECh. 7.1 - Prob. 34PPECh. 7.1 - Prob. 35PPECh. 7.1 - Prob. 36PPECh. 7.1 - Prob. 37PPECh. 7.1 - Prob. 38PPECh. 7.1 - Prob. 39PPECh. 7.1 - Prob. 40PPECh. 7.1 - Prob. 41PPECh. 7.1 - Prob. 42PPECh. 7.1 - Prob. 43PPECh. 7.1 - Prob. 44PPECh. 7.1 - Prob. 45PPECh. 7.1 - Prob. 46PPECh. 7.1 - Prob. 47PPECh. 7.1 - Prob. 48PPECh. 7.1 - Prob. 49PPECh. 7.1 - Prob. 50PPECh. 7.1 - Prob. 51PPECh. 7.1 - Prob. 52PPECh. 7.1 - Prob. 53PPECh. 7.1 - Prob. 54PPECh. 7.1 - Prob. 55PPECh. 7.1 - Prob. 56PPECh. 7.1 - Prob. 57PPECh. 7.1 - Prob. 58PPECh. 7.1 - Prob. 59PPECh. 7.1 - Prob. 60PPECh. 7.1 - Prob. 61PPECh. 7.1 - Prob. 62PPECh. 7.1 - Prob. 63PPECh. 7.1 - Prob. 64PPECh. 7.1 - Prob. 65PPECh. 7.1 - Prob. 66PPECh. 7.1 - Prob. 67PPECh. 7.1 - Prob. 68PPECh. 7.1 - Prob. 69PPECh. 7.1 - Prob. 70PPECh. 7.1 - Prob. 71PPECh. 7.1 - Prob. 72PPECh. 7.1 - Prob. 73STPCh. 7.1 - Prob. 74STPCh. 7.1 - Prob. 75STPCh. 7.1 - Prob. 76STPCh. 7.1 - Prob. 77STPCh. 7.1 - Prob. 78MRCh. 7.1 - Prob. 79MRCh. 7.1 - Prob. 80MRCh. 7.1 - Prob. 81MRCh. 7.1 - Prob. 82MRCh. 7.1 - Prob. 83MRCh. 7.1 - Prob. 84MRCh. 7.1 - Prob. 85MRCh. 7.1 - Prob. 86MRCh. 7.1 - Prob. 87MRCh. 7.1 - Prob. 88MRCh. 7.1 - Prob. 89MRCh. 7.1 - Prob. 90MRCh. 7.1 - Prob. 91MRCh. 7.2 - Prob. 1PCh. 7.2 - Prob. 2PCh. 7.2 - Prob. 3PCh. 7.2 - Prob. 4PCh. 7.2 - Prob. 5PCh. 7.2 - Prob. 6PCh. 7.2 - Prob. 1LCCh. 7.2 - Prob. 2LCCh. 7.2 - Prob. 3LCCh. 7.2 - Prob. 4LCCh. 7.2 - Prob. 5LCCh. 7.2 - Prob. 6LCCh. 7.2 - Prob. 7LCCh. 7.2 - Prob. 8PPECh. 7.2 - Prob. 9PPECh. 7.2 - Prob. 10PPECh. 7.2 - Prob. 11PPECh. 7.2 - Prob. 12PPECh. 7.2 - Prob. 13PPECh. 7.2 - Prob. 14PPECh. 7.2 - Prob. 15PPECh. 7.2 - Prob. 16PPECh. 7.2 - Prob. 17PPECh. 7.2 - Prob. 18PPECh. 7.2 - Prob. 19PPECh. 7.2 - Prob. 20PPECh. 7.2 - Prob. 21PPECh. 7.2 - Prob. 22PPECh. 7.2 - Prob. 23PPECh. 7.2 - Prob. 24PPECh. 7.2 - Prob. 25PPECh. 7.2 - Prob. 26PPECh. 7.2 - Prob. 27PPECh. 7.2 - Prob. 28PPECh. 7.2 - Prob. 29PPECh. 7.2 - Prob. 30PPECh. 7.2 - Prob. 31PPECh. 7.2 - Prob. 32PPECh. 7.2 - Prob. 33PPECh. 7.2 - Prob. 34PPECh. 7.2 - Prob. 35PPECh. 7.2 - Prob. 36PPECh. 7.2 - Prob. 37PPECh. 7.2 - Prob. 38PPECh. 7.2 - Prob. 39PPECh. 7.2 - Prob. 40PPECh. 7.2 - Prob. 41PPECh. 7.2 - Prob. 42PPECh. 7.2 - Prob. 43PPECh. 7.2 - Prob. 44PPECh. 7.2 - Prob. 45PPECh. 7.2 - Prob. 46PPECh. 7.2 - Prob. 47PPECh. 7.2 - Prob. 48PPECh. 7.2 - Prob. 49PPECh. 7.2 - Prob. 50PPECh. 7.2 - Prob. 51PPECh. 7.2 - Prob. 52PPECh. 7.2 - Prob. 53PPECh. 7.2 - Prob. 54STPCh. 7.2 - Prob. 55STPCh. 7.2 - Prob. 56STPCh. 7.2 - Prob. 57STPCh. 7.2 - Prob. 58STPCh. 7.2 - Prob. 59MRCh. 7.2 - Prob. 60MRCh. 7.2 - Prob. 61MRCh. 7.2 - Prob. 62MRCh. 7.2 - Prob. 63MRCh. 7.2 - Prob. 64MRCh. 7.2 - Prob. 65MRCh. 7.2 - Prob. 66MRCh. 7.2 - Prob. 67MRCh. 7.2 - Prob. 68MRCh. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Prob. 3PCh. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 1LCCh. 7.3 - Prob. 2LCCh. 7.3 - Prob. 3LCCh. 7.3 - Prob. 4LCCh. 7.3 - Prob. 5LCCh. 7.3 - Prob. 6LCCh. 7.3 - Prob. 7LCCh. 7.3 - Prob. 8LCCh. 7.3 - Prob. 9LCCh. 7.3 - Prob. 10PPECh. 7.3 - Prob. 11PPECh. 7.3 - Prob. 12PPECh. 7.3 - Prob. 13PPECh. 7.3 - Prob. 14PPECh. 7.3 - Prob. 15PPECh. 7.3 - Prob. 16PPECh. 7.3 - Prob. 17PPECh. 7.3 - Prob. 18PPECh. 7.3 - Prob. 19PPECh. 7.3 - Prob. 20PPECh. 7.3 - Prob. 21PPECh. 7.3 - Prob. 22PPECh. 7.3 - Prob. 23PPECh. 7.3 - Prob. 24PPECh. 7.3 - Prob. 25PPECh. 7.3 - Prob. 26PPECh. 7.3 - Prob. 27PPECh. 7.3 - Prob. 28PPECh. 7.3 - Prob. 29PPECh. 7.3 - Prob. 30PPECh. 7.3 - Prob. 31PPECh. 7.3 - Prob. 32PPECh. 7.3 - Prob. 33PPECh. 7.3 - Prob. 34PPECh. 7.3 - Prob. 35PPECh. 7.3 - Prob. 36PPECh. 7.3 - Prob. 37PPECh. 7.3 - Prob. 38PPECh. 7.3 - Prob. 39PPECh. 7.3 - Prob. 40PPECh. 7.3 - Prob. 41PPECh. 7.3 - Prob. 42PPECh. 7.3 - Prob. 43PPECh. 7.3 - Prob. 44PPECh. 7.3 - Prob. 45PPECh. 7.3 - Prob. 46PPECh. 7.3 - Prob. 47PPECh. 7.3 - Prob. 48PPECh. 7.3 - Prob. 49PPECh. 7.3 - Prob. 50PPECh. 7.3 - Prob. 51PPECh. 7.3 - Prob. 52PPECh. 7.3 - Prob. 53PPECh. 7.3 - Prob. 54PPECh. 7.3 - Prob. 55PPECh. 7.3 - Prob. 56PPECh. 7.3 - Prob. 57PPECh. 7.3 - Prob. 58PPECh. 7.3 - Prob. 59PPECh. 7.3 - Prob. 60PPECh. 7.3 - Prob. 61PPECh. 7.3 - Prob. 62PPECh. 7.3 - Prob. 63PPECh. 7.3 - Prob. 64PPECh. 7.3 - Prob. 65PPECh. 7.3 - Prob. 66PPECh. 7.3 - Prob. 67PPECh. 7.3 - Prob. 68PPECh. 7.3 - Prob. 69PPECh. 7.3 - Prob. 70PPECh. 7.3 - Prob. 71PPECh. 7.3 - Prob. 72PPECh. 7.3 - Prob. 73PPECh. 7.3 - Prob. 1MPCh. 7.4 - Prob. 1PCh. 7.4 - Prob. 2PCh. 7.4 - Prob. 3PCh. 7.4 - Prob. 4PCh. 7.4 - Prob. 1LCCh. 7.4 - Prob. 2LCCh. 7.4 - Prob. 3LCCh. 7.4 - Prob. 4LCCh. 7.4 - Prob. 5LCCh. 7.4 - Prob. 6LCCh. 7.4 - Prob. 7LCCh. 7.4 - Prob. 8PPECh. 7.4 - Prob. 9PPECh. 7.4 - Prob. 10PPECh. 7.4 - Prob. 11PPECh. 7.4 - Prob. 12PPECh. 7.4 - Prob. 13PPECh. 7.4 - Prob. 14PPECh. 7.4 - Prob. 15PPECh. 7.4 - Prob. 16PPECh. 7.4 - Prob. 17PPECh. 7.4 - Prob. 18PPECh. 7.4 - Prob. 19PPECh. 7.4 - Prob. 20PPECh. 7.4 - Prob. 21PPECh. 7.4 - Prob. 22PPECh. 7.4 - Prob. 23PPECh. 7.4 - Prob. 24PPECh. 7.4 - Prob. 25PPECh. 7.4 - Prob. 26PPECh. 7.4 - Prob. 27PPECh. 7.4 - Prob. 28PPECh. 7.4 - Prob. 29PPECh. 7.4 - Prob. 30PPECh. 7.4 - Prob. 31PPECh. 7.4 - Prob. 32PPECh. 7.4 - Prob. 33PPECh. 7.4 - Prob. 34PPECh. 7.4 - Prob. 35PPECh. 7.4 - Prob. 36PPECh. 7.4 - Prob. 37PPECh. 7.4 - Prob. 38PPECh. 7.4 - Prob. 39PPECh. 7.4 - Prob. 40PPECh. 7.4 - Prob. 41PPECh. 7.4 - Prob. 42PPECh. 7.4 - Prob. 43PPECh. 7.4 - Prob. 44PPECh. 7.4 - Prob. 45PPECh. 7.4 - Prob. 46PPECh. 7.4 - Prob. 47PPECh. 7.4 - Prob. 48PPECh. 7.4 - Prob. 49PPECh. 7.4 - Prob. 50PPECh. 7.4 - Prob. 51PPECh. 7.4 - Prob. 52PPECh. 7.4 - Prob. 53PPECh. 7.4 - Prob. 54PPECh. 7.4 - Prob. 55PPECh. 7.4 - Prob. 56PPECh. 7.4 - Prob. 57PPECh. 7.4 - Prob. 58PPECh. 7.4 - Prob. 59PPECh. 7.4 - Prob. 60PPECh. 7.4 - Prob. 61PPECh. 7.4 - Prob. 62PPECh. 7.4 - Prob. 63PPECh. 7.4 - Prob. 64PPECh. 7.4 - Prob. 65PPECh. 7.4 - Prob. 66PPECh. 7.4 - Prob. 67PPECh. 7.4 - Prob. 68PPECh. 7.4 - Prob. 69PPECh. 7.4 - Prob. 70PPECh. 7.4 - Prob. 71PPECh. 7.4 - Prob. 72PPECh. 7.4 - Prob. 73PPECh. 7.4 - Prob. 74PPECh. 7.4 - Prob. 75PPECh. 7.4 - Prob. 76PPECh. 7.4 - Prob. 77PPECh. 7.4 - Prob. 78PPECh. 7.4 - Prob. 79PPECh. 7.4 - Prob. 80PPECh. 7.4 - Prob. 81PPECh. 7.4 - Prob. 82PPECh. 7.4 - Prob. 83PPECh. 7.4 - Prob. 84PPECh. 7.4 - Prob. 85PPECh. 7.4 - Prob. 86PPECh. 7.4 - Prob. 87PPECh. 7.4 - Prob. 88PPECh. 7.4 - Prob. 89PPECh. 7.4 - Prob. 90PPECh. 7.4 - Prob. 91PPECh. 7.4 - Prob. 92PPECh. 7.4 - Prob. 93PPECh. 7.4 - Prob. 94STPCh. 7.4 - Prob. 95STPCh. 7.4 - Prob. 96STPCh. 7.4 - Prob. 97STPCh. 7.4 - Prob. 98MRCh. 7.4 - Prob. 99MRCh. 7.4 - Prob. 100MRCh. 7.4 - Prob. 101MRCh. 7.4 - Prob. 102MRCh. 7.4 - Prob. 103MRCh. 7.4 - Prob. 104MRCh. 7.4 - Prob. 105MRCh. 7.4 - Prob. 106MRCh. 7.4 - Prob. 107MRCh. 7.4 - Prob. 108MRCh. 7.4 - Prob. 109MRCh. 7.4 - Prob. 110MRCh. 7.4 - Prob. 1MCQCh. 7.4 - Prob. 2MCQCh. 7.4 - Prob. 3MCQCh. 7.4 - Prob. 4MCQCh. 7.4 - Prob. 5MCQCh. 7.4 - Prob. 6MCQCh. 7.4 - Prob. 7MCQCh. 7.4 - Prob. 8MCQCh. 7.4 - Prob. 9MCQCh. 7.4 - Prob. 10MCQCh. 7.4 - Prob. 11MCQCh. 7.4 - Prob. 12MCQCh. 7.4 - Prob. 13MCQCh. 7.4 - Prob. 14MCQCh. 7.4 - Prob. 15MCQCh. 7.4 - Prob. 16MCQCh. 7.4 - Prob. 17MCQCh. 7.4 - Prob. 18MCQCh. 7.4 - Prob. 19MCQCh. 7.4 - Prob. 20MCQCh. 7.4 - Prob. 21MCQCh. 7.4 - Prob. 22MCQCh. 7.4 - Prob. 23MCQCh. 7.4 - Prob. 24MCQCh. 7.4 - Prob. 25MCQCh. 7.4 - Prob. 26MCQCh. 7.4 - Prob. 27MCQCh. 7.4 - Prob. 28MCQCh. 7.5 - Prob. 12CBCh. 7.5 - Prob. 13CBCh. 7.5 - Prob. 14CBCh. 7.5 - Prob. 1PCh. 7.5 - Prob. 2PCh. 7.5 - Prob. 3PCh. 7.5 - Prob. 4PCh. 7.5 - Prob. 1LCCh. 7.5 - Prob. 2LCCh. 7.5 - Prob. 3LCCh. 7.5 - Prob. 4LCCh. 7.5 - Prob. 5LCCh. 7.5 - Prob. 6LCCh. 7.5 - Prob. 7LCCh. 7.5 - Prob. 8LCCh. 7.5 - Prob. 9LCCh. 7.5 - Prob. 10LCCh. 7.5 - Prob. 11PPECh. 7.5 - Prob. 12PPECh. 7.5 - Prob. 13PPECh. 7.5 - Prob. 14PPECh. 7.5 - Prob. 15PPECh. 7.5 - Prob. 16PPECh. 7.5 - Prob. 17PPECh. 7.5 - Prob. 18PPECh. 7.5 - Prob. 19PPECh. 7.5 - Prob. 20PPECh. 7.5 - Prob. 21PPECh. 7.5 - Prob. 22PPECh. 7.5 - Prob. 23PPECh. 7.5 - Prob. 24PPECh. 7.5 - Prob. 25PPECh. 7.5 - Prob. 26PPECh. 7.5 - Prob. 27PPECh. 7.5 - Prob. 28PPECh. 7.5 - Prob. 29PPECh. 7.5 - Prob. 30PPECh. 7.5 - Prob. 31PPECh. 7.5 - Prob. 32PPECh. 7.5 - Prob. 33PPECh. 7.5 - Prob. 34PPECh. 7.5 - Prob. 35PPECh. 7.5 - Prob. 36PPECh. 7.5 - Prob. 37PPECh. 7.5 - Prob. 38PPECh. 7.5 - Prob. 39PPECh. 7.5 - Prob. 40PPECh. 7.5 - Prob. 41PPECh. 7.5 - Prob. 42PPECh. 7.5 - Prob. 43PPECh. 7.5 - Prob. 44PPECh. 7.5 - Prob. 45PPECh. 7.5 - Prob. 46PPECh. 7.5 - Prob. 47PPECh. 7.5 - Prob. 48PPECh. 7.5 - Prob. 49PPECh. 7.5 - Prob. 50PPECh. 7.5 - Prob. 51PPECh. 7.5 - Prob. 52PPECh. 7.5 - Prob. 53PPECh. 7.5 - Prob. 54PPECh. 7.5 - Prob. 55STPCh. 7.5 - Prob. 56STPCh. 7.5 - Prob. 57STPCh. 7.5 - Prob. 58MRCh. 7.5 - Prob. 59MRCh. 7.5 - Prob. 60MRCh. 7.5 - Prob. 61MRCh. 7.5 - Prob. 62MRCh. 7.5 - Prob. 63MRCh. 7.5 - Prob. 64MRCh. 7.5 - Prob. 65MRCh. 7.5 - Prob. 66MRCh. 7.5 - Prob. 67MRCh. 7.5 - Prob. 68MRCh. 7.5 - Prob. 69MRCh. 7.5 - Prob. 70MRCh. 7.5 - Prob. 71MRCh. 7.5 - Prob. 72MRCh. 7.5 - Prob. 73MRCh. 7.5 - Prob. 74MRCh. 7.5 - Prob. 75MRCh. 7.5 - Prob. 76MRCh. 7.5 - Prob. 77MRCh. 7.6 - Prob. 1PCh. 7.6 - Prob. 2PCh. 7.6 - Prob. 3PCh. 7.6 - Prob. 4PCh. 7.6 - Prob. 5PCh. 7.6 - Prob. 1LCCh. 7.6 - Prob. 2LCCh. 7.6 - Prob. 3LCCh. 7.6 - Prob. 4LCCh. 7.6 - Prob. 5LCCh. 7.6 - Prob. 6LCCh. 7.6 - Prob. 7LCCh. 7.6 - Prob. 8PPECh. 7.6 - Prob. 9PPECh. 7.6 - Prob. 10PPECh. 7.6 - Prob. 11PPECh. 7.6 - Prob. 12PPECh. 7.6 - Prob. 13PPECh. 7.6 - Prob. 14PPECh. 7.6 - Prob. 15PPECh. 7.6 - Prob. 16PPECh. 7.6 - Prob. 17PPECh. 7.6 - Prob. 18PPECh. 7.6 - Prob. 19PPECh. 7.6 - Prob. 20PPECh. 7.6 - Prob. 21PPECh. 7.6 - Prob. 22PPECh. 7.6 - Prob. 23PPECh. 7.6 - Prob. 24PPECh. 7.6 - Prob. 25PPECh. 7.6 - Prob. 26PPECh. 7.6 - Prob. 27PPECh. 7.6 - Prob. 28PPECh. 7.6 - Prob. 29PPECh. 7.6 - Prob. 30PPECh. 7.6 - Prob. 31PPECh. 7.6 - Prob. 32PPECh. 7.6 - Prob. 33PPECh. 7.6 - Prob. 34PPECh. 7.6 - Prob. 35PPECh. 7.6 - Prob. 36PPECh. 7.6 - Prob. 37PPECh. 7.6 - Prob. 38PPECh. 7.6 - Prob. 39PPECh. 7.6 - Prob. 40PPECh. 7.6 - Prob. 41PPECh. 7.6 - Prob. 42PPECh. 7.6 - Prob. 43PPECh. 7.6 - Prob. 44PPECh. 7.6 - Prob. 45PPECh. 7.6 - Prob. 46PPECh. 7.6 - Prob. 47PPECh. 7.6 - Prob. 48PPECh. 7.6 - Prob. 49PPECh. 7.6 - Prob. 50PPECh. 7.6 - Prob. 51PPECh. 7.6 - Prob. 52PPECh. 7.6 - Prob. 53PPECh. 7.6 - Prob. 54PPECh. 7.6 - Prob. 55PPECh. 7.6 - Prob. 1MPCh. 7.7 - Prob. 1PCh. 7.7 - Prob. 2PCh. 7.7 - Prob. 3PCh. 7.7 - Prob. 1LCCh. 7.7 - Prob. 2LCCh. 7.7 - Prob. 3LCCh. 7.7 - Prob. 4LCCh. 7.7 - Prob. 5LCCh. 7.7 - Prob. 6LCCh. 7.7 - Prob. 7LCCh. 7.7 - Prob. 8LCCh. 7.7 - Prob. 9PPECh. 7.7 - Prob. 10PPECh. 7.7 - Prob. 11PPECh. 7.7 - Prob. 12PPECh. 7.7 - Prob. 13PPECh. 7.7 - Prob. 14PPECh. 7.7 - Prob. 15PPECh. 7.7 - Prob. 16PPECh. 7.7 - Prob. 17PPECh. 7.7 - Prob. 18PPECh. 7.7 - Prob. 19PPECh. 7.7 - Prob. 20PPECh. 7.7 - Prob. 21PPECh. 7.7 - Prob. 22PPECh. 7.7 - Prob. 23PPECh. 7.7 - Prob. 24PPECh. 7.7 - Prob. 25PPECh. 7.7 - Prob. 26PPECh. 7.7 - Prob. 27PPECh. 7.7 - Prob. 28PPECh. 7.7 - Prob. 29PPECh. 7.7 - Prob. 30PPECh. 7.7 - Prob. 31PPECh. 7.7 - Prob. 32PPECh. 7.7 - Prob. 33PPECh. 7.7 - Prob. 34PPECh. 7.7 - Prob. 35PPECh. 7.7 - Prob. 36PPECh. 7.7 - Prob. 37PPECh. 7.7 - Prob. 38PPECh. 7.7 - Prob. 39PPECh. 7.7 - Prob. 40PPECh. 7.7 - Prob. 41PPECh. 7.7 - Prob. 42PPECh. 7.7 - Prob. 1MPCh. 7.8 - Prob. 1PCh. 7.8 - Prob. 2PCh. 7.8 - Prob. 3PCh. 7.8 - Prob. 4PCh. 7.8 - Prob. 1LCCh. 7.8 - Prob. 2LCCh. 7.8 - Prob. 3LCCh. 7.8 - Prob. 4LCCh. 7.8 - Prob. 5LCCh. 7.8 - Prob. 6LCCh. 7.8 - Prob. 7LCCh. 7.8 - Prob. 8LCCh. 7.8 - Prob. 9LCCh. 7.8 - Prob. 10PPECh. 7.8 - Prob. 11PPECh. 7.8 - Prob. 12PPECh. 7.8 - Prob. 13PPECh. 7.8 - Prob. 14PPECh. 7.8 - Prob. 15PPECh. 7.8 - Prob. 16PPECh. 7.8 - Prob. 17PPECh. 7.8 - Prob. 18PPECh. 7.8 - Prob. 19PPECh. 7.8 - Prob. 20PPECh. 7.8 - Prob. 21PPECh. 7.8 - Prob. 22PPECh. 7.8 - Prob. 23PPECh. 7.8 - Prob. 24PPECh. 7.8 - Prob. 25PPECh. 7.8 - Prob. 26PPECh. 7.8 - Prob. 27PPECh. 7.8 - Prob. 28PPECh. 7.8 - Prob. 29PPECh. 7.8 - Prob. 30PPECh. 7.8 - Prob. 31PPECh. 7.8 - Prob. 32PPECh. 7.8 - Prob. 33PPECh. 7.8 - Prob. 34PPECh. 7.8 - Prob. 35PPECh. 7.8 - Prob. 36PPECh. 7.8 - Prob. 37PPECh. 7.8 - Prob. 38PPECh. 7.8 - Prob. 39PPECh. 7.8 - Prob. 40PPECh. 7.8 - Prob. 41PPECh. 7.8 - Prob. 42PPECh. 7.8 - Prob. 43PPECh. 7.8 - Prob. 44PPECh. 7.8 - Prob. 45PPECh. 7.8 - Prob. 46PPECh. 7.8 - Prob. 47PPECh. 7.8 - Prob. 48PPECh. 7.8 - Prob. 49PPECh. 7.8 - Prob. 50PPECh. 7.8 - Prob. 51PPECh. 7.8 - Prob. 52PPECh. 7.8 - Prob. 53PPECh. 7.8 - Prob. 54STPCh. 7.8 - Prob. 55STPCh. 7.8 - Prob. 56STPCh. 7.8 - Prob. 57STPCh. 7.8 - Prob. 58STPCh. 7.8 - Prob. 59MRCh. 7.8 - Prob. 60MRCh. 7.8 - Prob. 61MRCh. 7.8 - Prob. 62MRCh. 7.8 - Prob. 63MRCh. 7.8 - Prob. 64MRCh. 7.8 - Prob. 65MRCh. 7.8 - Prob. 66MRCh. 7.8 - Prob. 67MRCh. 7.8 - Prob. 68MRCh. 7.8 - Prob. 69MRCh. 7 - Prob. 1GRCh. 7 - Prob. 2GRCh. 7 - Prob. 3GRCh. 7 - Prob. 4GRCh. 7 - Prob. 5GRCh. 7 - Prob. 6GRCh. 7 - Prob. 7GRCh. 7 - Prob. 8GRCh. 7 - Prob. 9GRCh. 7 - Prob. 10GRCh. 7 - Prob. 11GRCh. 7 - Prob. 12GRCh. 7 - Prob. 13GRCh. 7 - Prob. 14GRCh. 7 - Prob. 15GRCh. 7 - Prob. 16GRCh. 7 - Prob. 17GRCh. 7 - Prob. 18GRCh. 7 - Prob. 19GRCh. 7 - Prob. 20GRCh. 7 - Prob. 21GRCh. 7 - Prob. 22GRCh. 7 - Prob. 23GRCh. 7 - Prob. 24GRCh. 7 - Prob. 25GRCh. 7 - Prob. 26GRCh. 7 - Prob. 27GRCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 25CRCh. 7 - Prob. 26CRCh. 7 - Prob. 27CRCh. 7 - Prob. 28CRCh. 7 - Prob. 29CRCh. 7 - Prob. 30CRCh. 7 - Prob. 31CRCh. 7 - Prob. 32CRCh. 7 - Prob. 33CRCh. 7 - Prob. 34CRCh. 7 - Prob. 35CRCh. 7 - Prob. 36CRCh. 7 - Prob. 37CRCh. 7 - Prob. 38CRCh. 7 - Prob. 39CRCh. 7 - Prob. 40CRCh. 7 - Prob. 41CRCh. 7 - Prob. 42CRCh. 7 - Prob. 43CRCh. 7 - Prob. 44CRCh. 7 - Prob. 45CRCh. 7 - Prob. 46CRCh. 7 - Prob. 47CRCh. 7 - Prob. 48CRCh. 7 - Prob. 49CRCh. 7 - Prob. 50CRCh. 7 - Prob. 51CRCh. 7 - Prob. 52CRCh. 7 - Prob. 53CRCh. 7 - Prob. 54CRCh. 7 - Prob. 55CRCh. 7 - Prob. 56CRCh. 7 - Prob. 57CRCh. 7 - Prob. 58CRCh. 7 - Prob. 59CRCh. 7 - Prob. 60CRCh. 7 - Prob. 61CRCh. 7 - Prob. 62CRCh. 7 - Prob. 63CRCh. 7 - Prob. 64CRCh. 7 - Prob. 65CRCh. 7 - Prob. 66CRCh. 7 - Prob. 67CRCh. 7 - Prob. 68CRCh. 7 - Prob. 69CRCh. 7 - Prob. 70CRCh. 7 - Prob. 71CRCh. 7 - Prob. 72CRCh. 7 - Prob. 73CRCh. 7 - Prob. 74CRCh. 7 - Prob. 75CRCh. 7 - Prob. 76CRCh. 7 - Prob. 77CRCh. 7 - Prob. 78CRCh. 7 - Prob. 79CRCh. 7 - Prob. 80CRCh. 7 - Prob. 81CRCh. 7 - Prob. 82CRCh. 7 - Prob. 83CRCh. 7 - Prob. 84CRCh. 7 - Prob. 85CRCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 17CTCh. 7 - Prob. 18CTCh. 7 - Prob. 19CTCh. 7 - Prob. 20CTCh. 7 - Prob. 21CTCh. 7 - Prob. 22CTCh. 7 - Prob. 23CTCh. 7 - Prob. 24CTCh. 7 - Prob. 25CTCh. 7 - Prob. 1CCSRCh. 7 - Prob. 2CCSRCh. 7 - Prob. 3CCSRCh. 7 - Prob. 4CCSRCh. 7 - Prob. 5CCSRCh. 7 - Prob. 6CCSRCh. 7 - Prob. 7CCSRCh. 7 - Prob. 8CCSRCh. 7 - Prob. 9CCSRCh. 7 - Prob. 10CCSRCh. 7 - Prob. 11CCSRCh. 7 - Prob. 12CCSRCh. 7 - Prob. 13CCSRCh. 7 - Prob. 14CCSRCh. 7 - Prob. 15CCSRCh. 7 - Prob. 16CCSRCh. 7 - Prob. 17CCSRCh. 7 - Prob. 18CCSRCh. 7 - Prob. 19CCSRCh. 7 - Prob. 20CCSRCh. 7 - Prob. 21CCSRCh. 7 - Prob. 22CCSRCh. 7 - Prob. 23CCSRCh. 7 - Prob. 24CCSRCh. 7 - Prob. 25CCSRCh. 7 - Prob. 26CCSRCh. 7 - Prob. 27CCSR

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