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

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Question
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Chapter 1.7, Problem 47PPE
To determine

Whether the given relation is a function.

Expert Solution & Answer
Check Mark

Answer to Problem 47PPE

Yes

Explanation of Solution

Given:

The relation:

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 1.7, Problem 47PPE

Concept Used:

  • A function is defined as relation between two sets that maps elements of first to a unique element of second set. And it is denoted as f:A→Bwhich shows that function f maps every element of set A to a unique element of set B.
  • Vertical line test: The graph of any relation is function if it satisfy the vertical line test, which states that if at any point of the graph, we draw a vertical line, then it must intersect the graph at only one point.

Calculation:

In the given relation, observe that the graph of the relation is a slant line decreasing from left to right. Also observe that the vertical line at any point of the graph will intersect the graph of the line at most once only.

Since the relation satisfy the vertical line test, so the relation is a function.

Thus, the given relation is a function.

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Chapter 1.7, Problem 46PPE
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Chapter 1.7, Problem 48PPE

Chapter 1 Solutions

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

Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 1LCCh. 1.1 - Prob. 2LCCh. 1.1 - Prob. 3LCCh. 1.1 - Prob. 4LCCh. 1.1 - Prob. 5LC
Ch. 1.1 - Prob. 6LCCh. 1.1 - Prob. 7LCCh. 1.1 - Prob. 8LCCh. 1.1 - Prob. 9PPECh. 1.1 - Prob. 10PPECh. 1.1 - Prob. 11PPECh. 1.1 - Prob. 12PPECh. 1.1 - Prob. 13PPECh. 1.1 - Prob. 14PPECh. 1.1 - Prob. 15PPECh. 1.1 - Prob. 16PPECh. 1.1 - Prob. 17PPECh. 1.1 - Prob. 18PPECh. 1.1 - Prob. 19PPECh. 1.1 - Prob. 20PPECh. 1.1 - Prob. 21PPECh. 1.1 - Prob. 22PPECh. 1.1 - Prob. 23PPECh. 1.1 - Prob. 24PPECh. 1.1 - Prob. 25PPECh. 1.1 - Prob. 26PPECh. 1.1 - Prob. 27PPECh. 1.1 - Prob. 28PPECh. 1.1 - Prob. 29PPECh. 1.1 - Prob. 30PPECh. 1.1 - Prob. 31PPECh. 1.1 - Prob. 32PPECh. 1.1 - Prob. 33PPECh. 1.1 - Prob. 34PPECh. 1.1 - Prob. 35PPECh. 1.1 - Prob. 36PPECh. 1.1 - Prob. 37PPECh. 1.1 - Prob. 38PPECh. 1.1 - Prob. 39PPECh. 1.1 - Prob. 40PPECh. 1.1 - Prob. 41PPECh. 1.1 - Prob. 1MPCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Prob. 1LCCh. 1.2 - Prob. 2LCCh. 1.2 - Prob. 3LCCh. 1.2 - Prob. 4LCCh. 1.2 - Prob. 5LCCh. 1.2 - Prob. 6LCCh. 1.2 - Prob. 7LCCh. 1.2 - Prob. 8LCCh. 1.2 - Prob. 9PPECh. 1.2 - Prob. 10PPECh. 1.2 - Prob. 11PPECh. 1.2 - Prob. 12PPECh. 1.2 - Prob. 13PPECh. 1.2 - Prob. 14PPECh. 1.2 - Prob. 15PPECh. 1.2 - Prob. 16PPECh. 1.2 - Prob. 17PPECh. 1.2 - Prob. 18PPECh. 1.2 - Prob. 19PPECh. 1.2 - Prob. 20PPECh. 1.2 - Prob. 21PPECh. 1.2 - Prob. 22PPECh. 1.2 - Prob. 23PPECh. 1.2 - Prob. 24PPECh. 1.2 - Prob. 25PPECh. 1.2 - Prob. 26PPECh. 1.2 - Prob. 27PPECh. 1.2 - Prob. 28PPECh. 1.2 - Prob. 29PPECh. 1.2 - Prob. 30PPECh. 1.2 - Prob. 31PPECh. 1.2 - Prob. 32PPECh. 1.2 - Prob. 33PPECh. 1.2 - Prob. 34PPECh. 1.2 - Prob. 35PPECh. 1.2 - Prob. 36PPECh. 1.2 - Prob. 37PPECh. 1.2 - Prob. 38PPECh. 1.2 - Prob. 39PPECh. 1.2 - Prob. 40PPECh. 1.2 - Prob. 41PPECh. 1.2 - Prob. 42PPECh. 1.2 - Prob. 43PPECh. 1.2 - Prob. 44PPECh. 1.2 - Prob. 45PPECh. 1.2 - Prob. 46PPECh. 1.2 - Prob. 47PPECh. 1.2 - Prob. 48PPECh. 1.2 - Prob. 49PPECh. 1.2 - Prob. 50PPECh. 1.2 - Prob. 51PPECh. 1.2 - Prob. 52PPECh. 1.2 - Prob. 53PPECh. 1.2 - Prob. 54PPECh. 1.2 - Prob. 55PPECh. 1.2 - Prob. 56PPECh. 1.2 - Prob. 57PPECh. 1.2 - Prob. 58PPECh. 1.2 - Prob. 59PPECh. 1.2 - Prob. 60PPECh. 1.2 - Prob. 61STPCh. 1.2 - Prob. 62STPCh. 1.2 - Prob. 63STPCh. 1.2 - Prob. 64STPCh. 1.2 - Prob. 65MRCh. 1.2 - Prob. 66MRCh. 1.2 - Prob. 67MRCh. 1.2 - Prob. 68MRCh. 1.2 - Prob. 69MRCh. 1.2 - Prob. 70MRCh. 1.2 - Prob. 71MRCh. 1.2 - Prob. 72MRCh. 1.2 - Prob. 73MRCh. 1.2 - Prob. 74MRCh. 1.2 - Prob. 75MRCh. 1.2 - Prob. 76MRCh. 1.2 - Prob. 77MRCh. 1.2 - Prob. 78MRCh. 1.2 - Prob. 79MRCh. 1.2 - Prob. 80MRCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 1LCCh. 1.3 - Prob. 2LCCh. 1.3 - Prob. 3LCCh. 1.3 - Prob. 4LCCh. 1.3 - Prob. 5LCCh. 1.3 - Prob. 6LCCh. 1.3 - Prob. 7LCCh. 1.3 - Prob. 8LCCh. 1.3 - Prob. 9PPECh. 1.3 - Prob. 10PPECh. 1.3 - Prob. 11PPECh. 1.3 - Prob. 12PPECh. 1.3 - Prob. 13PPECh. 1.3 - Prob. 14PPECh. 1.3 - Prob. 15PPECh. 1.3 - Prob. 16PPECh. 1.3 - Prob. 17PPECh. 1.3 - Prob. 18PPECh. 1.3 - Prob. 19PPECh. 1.3 - Prob. 20PPECh. 1.3 - Prob. 21PPECh. 1.3 - Prob. 22PPECh. 1.3 - Prob. 23PPECh. 1.3 - Prob. 24PPECh. 1.3 - Prob. 25PPECh. 1.3 - Prob. 26PPECh. 1.3 - Prob. 27PPECh. 1.3 - Prob. 28PPECh. 1.3 - Prob. 29PPECh. 1.3 - Prob. 30PPECh. 1.3 - Prob. 31PPECh. 1.3 - Prob. 32PPECh. 1.3 - Prob. 33PPECh. 1.3 - Prob. 34PPECh. 1.3 - Prob. 35PPECh. 1.3 - Prob. 36PPECh. 1.3 - Prob. 37PPECh. 1.3 - Prob. 38PPECh. 1.3 - Prob. 39PPECh. 1.3 - Prob. 40PPECh. 1.3 - Prob. 41PPECh. 1.3 - Prob. 42PPECh. 1.3 - Prob. 43PPECh. 1.3 - Prob. 44PPECh. 1.3 - Prob. 45PPECh. 1.3 - Prob. 46PPECh. 1.3 - Prob. 47PPECh. 1.3 - Prob. 48PPECh. 1.3 - Prob. 49PPECh. 1.3 - Prob. 50PPECh. 1.3 - Prob. 51PPECh. 1.3 - Prob. 52PPECh. 1.3 - Prob. 53PPECh. 1.3 - Prob. 54PPECh. 1.3 - Prob. 55PPECh. 1.3 - Prob. 56PPECh. 1.3 - Prob. 57PPECh. 1.3 - Prob. 58PPECh. 1.3 - Prob. 59PPECh. 1.3 - Prob. 60PPECh. 1.3 - Prob. 61PPECh. 1.3 - Prob. 62PPECh. 1.3 - Prob. 63PPECh. 1.3 - Prob. 64PPECh. 1.3 - Prob. 65PPECh. 1.3 - Prob. 66PPECh. 1.3 - Prob. 67PPECh. 1.3 - Prob. 68PPECh. 1.3 - Prob. 69PPECh. 1.3 - Prob. 70PPECh. 1.3 - Prob. 71PPECh. 1.3 - Prob. 72STPCh. 1.3 - Prob. 73STPCh. 1.3 - Prob. 74STPCh. 1.3 - Prob. 75MRCh. 1.3 - Prob. 76MRCh. 1.3 - Prob. 77MRCh. 1.3 - Prob. 78MRCh. 1.3 - Prob. 79MRCh. 1.3 - Prob. 80MRCh. 1.3 - Prob. 81MRCh. 1.3 - Prob. 82MRCh. 1.3 - Prob. 83MRCh. 1.3 - Prob. 84MRCh. 1.3 - Prob. 85MRCh. 1.4 - Prob. 1PCh. 1.4 - Prob. 2PCh. 1.4 - Prob. 3PCh. 1.4 - Prob. 4PCh. 1.4 - Prob. 1LCCh. 1.4 - Prob. 2LCCh. 1.4 - Prob. 3LCCh. 1.4 - Prob. 4LCCh. 1.4 - Prob. 5LCCh. 1.4 - Prob. 6LCCh. 1.4 - Prob. 7PPECh. 1.4 - Prob. 8PPECh. 1.4 - Prob. 9PPECh. 1.4 - Prob. 10PPECh. 1.4 - Prob. 11PPECh. 1.4 - Prob. 12PPECh. 1.4 - Prob. 13PPECh. 1.4 - Prob. 14PPECh. 1.4 - Prob. 15PPECh. 1.4 - Prob. 16PPECh. 1.4 - Prob. 17PPECh. 1.4 - Prob. 18PPECh. 1.4 - Prob. 19PPECh. 1.4 - Prob. 20PPECh. 1.4 - Prob. 21PPECh. 1.4 - Prob. 22PPECh. 1.4 - Prob. 23PPECh. 1.4 - Prob. 24PPECh. 1.4 - Prob. 25PPECh. 1.4 - Prob. 26PPECh. 1.4 - Prob. 27PPECh. 1.4 - Prob. 28PPECh. 1.4 - Prob. 29PPECh. 1.4 - Prob. 30PPECh. 1.4 - Prob. 31PPECh. 1.4 - Prob. 32PPECh. 1.4 - Prob. 33PPECh. 1.4 - Prob. 34PPECh. 1.4 - Prob. 35PPECh. 1.4 - Prob. 36PPECh. 1.4 - Prob. 37PPECh. 1.4 - Prob. 38PPECh. 1.4 - Prob. 39PPECh. 1.4 - Prob. 40PPECh. 1.4 - Prob. 41PPECh. 1.4 - Prob. 42PPECh. 1.4 - Prob. 43PPECh. 1.4 - Prob. 44PPECh. 1.4 - Prob. 45PPECh. 1.4 - Prob. 46PPECh. 1.4 - Prob. 47PPECh. 1.4 - Prob. 48PPECh. 1.4 - Prob. 49PPECh. 1.4 - Prob. 50PPECh. 1.4 - Prob. 51PPECh. 1.4 - Prob. 52PPECh. 1.4 - Prob. 53PPECh. 1.4 - Prob. 54PPECh. 1.4 - Prob. 55PPECh. 1.4 - Prob. 56PPECh. 1.4 - Prob. 57PPECh. 1.4 - Prob. 58STPCh. 1.4 - Prob. 59STPCh. 1.4 - Prob. 60STPCh. 1.4 - Prob. 61STPCh. 1.4 - Prob. 62RECh. 1.4 - Prob. 63RECh. 1.4 - Prob. 64RECh. 1.4 - Prob. 65RECh. 1.4 - Prob. 66RECh. 1.4 - Prob. 67RECh. 1.4 - Prob. 68RECh. 1.4 - Prob. 1MCQCh. 1.4 - Prob. 2MCQCh. 1.4 - Prob. 3MCQCh. 1.4 - Prob. 4MCQCh. 1.4 - Prob. 5MCQCh. 1.4 - Prob. 6MCQCh. 1.4 - Prob. 7MCQCh. 1.4 - Prob. 8MCQCh. 1.4 - Prob. 9MCQCh. 1.4 - Prob. 10MCQCh. 1.4 - Prob. 11MCQCh. 1.4 - Prob. 12MCQCh. 1.4 - Prob. 13MCQCh. 1.4 - Prob. 14MCQCh. 1.4 - Prob. 15MCQCh. 1.4 - Prob. 16MCQCh. 1.4 - Prob. 17MCQCh. 1.4 - Prob. 18MCQCh. 1.4 - Prob. 19MCQCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 1LCCh. 1.5 - Prob. 2LCCh. 1.5 - Prob. 3LCCh. 1.5 - Prob. 4LCCh. 1.5 - Prob. 5LCCh. 1.5 - Prob. 6LCCh. 1.5 - Prob. 7LCCh. 1.5 - Prob. 8LCCh. 1.5 - Prob. 9LCCh. 1.5 - Prob. 10PPECh. 1.5 - Prob. 11PPECh. 1.5 - Prob. 12PPECh. 1.5 - Prob. 13PPECh. 1.5 - Prob. 14PPECh. 1.5 - Prob. 15PPECh. 1.5 - Prob. 16PPECh. 1.5 - Prob. 17PPECh. 1.5 - Prob. 18PPECh. 1.5 - Prob. 19PPECh. 1.5 - Prob. 20PPECh. 1.5 - Prob. 21PPECh. 1.5 - Prob. 22PPECh. 1.5 - Prob. 23PPECh. 1.5 - Prob. 24PPECh. 1.5 - Prob. 25PPECh. 1.5 - Prob. 26PPECh. 1.5 - Prob. 27PPECh. 1.5 - Prob. 28PPECh. 1.5 - Prob. 29PPECh. 1.5 - Prob. 30PPECh. 1.5 - Prob. 31PPECh. 1.5 - Prob. 32PPECh. 1.5 - Prob. 33PPECh. 1.5 - Prob. 34PPECh. 1.5 - Prob. 35PPECh. 1.5 - Prob. 36PPECh. 1.5 - Prob. 37PPECh. 1.5 - Prob. 38PPECh. 1.5 - Prob. 39PPECh. 1.5 - Prob. 40PPECh. 1.5 - Prob. 41PPECh. 1.5 - Prob. 42PPECh. 1.5 - Prob. 43PPECh. 1.5 - Prob. 44PPECh. 1.5 - Prob. 45PPECh. 1.5 - Prob. 46PPECh. 1.5 - Prob. 47PPECh. 1.5 - Prob. 48PPECh. 1.5 - Prob. 49PPECh. 1.5 - Prob. 50PPECh. 1.5 - Prob. 51PPECh. 1.5 - Prob. 52PPECh. 1.5 - Prob. 53PPECh. 1.5 - Prob. 54PPECh. 1.5 - Prob. 55PPECh. 1.5 - Prob. 56PPECh. 1.5 - Prob. 57PPECh. 1.5 - Prob. 58PPECh. 1.5 - Prob. 59PPECh. 1.5 - Prob. 60PPECh. 1.5 - Prob. 61PPECh. 1.5 - Prob. 62PPECh. 1.5 - Prob. 63PPECh. 1.5 - Prob. 64PPECh. 1.5 - Prob. 65PPECh. 1.5 - Prob. 66PPECh. 1.5 - Prob. 67PPECh. 1.5 - Prob. 68PPECh. 1.5 - Prob. 69PPECh. 1.5 - Prob. 70STPCh. 1.5 - Prob. 71STPCh. 1.5 - Prob. 72STPCh. 1.5 - Prob. 73STPCh. 1.5 - Prob. 74STPCh. 1.5 - Prob. 75MRCh. 1.5 - Prob. 76MRCh. 1.5 - Prob. 77MRCh. 1.5 - Prob. 78MRCh. 1.5 - Prob. 79MRCh. 1.5 - Prob. 80MRCh. 1.5 - Prob. 81MRCh. 1.5 - Prob. 82MRCh. 1.5 - Prob. 83MRCh. 1.5 - Prob. 84MRCh. 1.5 - Prob. 85MRCh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 1LCCh. 1.6 - Prob. 2LCCh. 1.6 - Prob. 3LCCh. 1.6 - Prob. 4LCCh. 1.6 - Prob. 5LCCh. 1.6 - Prob. 6LCCh. 1.6 - Prob. 7LCCh. 1.6 - Prob. 8PPECh. 1.6 - Prob. 9PPECh. 1.6 - Prob. 10PPECh. 1.6 - Prob. 11PPECh. 1.6 - Prob. 12PPECh. 1.6 - Prob. 13PPECh. 1.6 - Prob. 14PPECh. 1.6 - Prob. 15PPECh. 1.6 - Prob. 16PPECh. 1.6 - Prob. 17PPECh. 1.6 - Prob. 18PPECh. 1.6 - Prob. 19PPECh. 1.6 - Prob. 20PPECh. 1.6 - Prob. 21PPECh. 1.6 - Prob. 22PPECh. 1.6 - Prob. 23PPECh. 1.6 - Prob. 24PPECh. 1.6 - Prob. 25PPECh. 1.6 - Prob. 26PPECh. 1.6 - Prob. 27PPECh. 1.6 - Prob. 28PPECh. 1.6 - Prob. 29PPECh. 1.6 - Prob. 30PPECh. 1.6 - Prob. 31PPECh. 1.6 - Prob. 32PPECh. 1.6 - Prob. 33PPECh. 1.6 - Prob. 34PPECh. 1.6 - Prob. 35PPECh. 1.6 - Prob. 36PPECh. 1.6 - Prob. 37PPECh. 1.6 - Prob. 38PPECh. 1.6 - Prob. 39PPECh. 1.6 - Prob. 40PPECh. 1.6 - Prob. 41PPECh. 1.6 - Prob. 42PPECh. 1.6 - Prob. 43PPECh. 1.6 - Prob. 44PPECh. 1.6 - Prob. 45PPECh. 1.6 - Prob. 46PPECh. 1.6 - Prob. 47PPECh. 1.6 - Prob. 48PPECh. 1.6 - Prob. 49PPECh. 1.6 - Prob. 50PPECh. 1.6 - Prob. 51PPECh. 1.6 - Prob. 52PPECh. 1.6 - Prob. 53PPECh. 1.6 - Prob. 54PPECh. 1.6 - Prob. 55PPECh. 1.6 - Prob. 56PPECh. 1.6 - Prob. 57PPECh. 1.6 - Prob. 58PPECh. 1.6 - Prob. 59PPECh. 1.6 - Prob. 60PPECh. 1.6 - Prob. 61PPECh. 1.6 - Prob. 62PPECh. 1.6 - Prob. 63PPECh. 1.6 - Prob. 64PPECh. 1.6 - Prob. 65PPECh. 1.6 - Prob. 66PPECh. 1.6 - Prob. 67PPECh. 1.6 - Prob. 68PPECh. 1.6 - Prob. 69PPECh. 1.6 - Prob. 70STPCh. 1.6 - Prob. 71STPCh. 1.6 - Prob. 72STPCh. 1.6 - Prob. 73MRCh. 1.6 - Prob. 74MRCh. 1.6 - Prob. 75MRCh. 1.6 - Prob. 76MRCh. 1.6 - Prob. 77MRCh. 1.6 - Prob. 78MRCh. 1.6 - Prob. 1CBCh. 1.6 - Prob. 2CBCh. 1.6 - Prob. 3CBCh. 1.6 - Prob. 4CBCh. 1.6 - Prob. 5CBCh. 1.6 - Prob. 6CBCh. 1.6 - Prob. 7CBCh. 1.6 - Prob. 8CBCh. 1.6 - Prob. 9CBCh. 1.6 - Prob. 10CBCh. 1.6 - Prob. 11CBCh. 1.6 - Prob. 12CBCh. 1.6 - Prob. 13CBCh. 1.6 - Prob. 14CBCh. 1.6 - Prob. 15CBCh. 1.6 - Prob. 16CBCh. 1.6 - Prob. 17CBCh. 1.6 - Prob. 18CBCh. 1.7 - Prob. 1PCh. 1.7 - Prob. 2PCh. 1.7 - Prob. 3PCh. 1.7 - Prob. 4PCh. 1.7 - Prob. 5PCh. 1.7 - Prob. 1LCCh. 1.7 - Prob. 2LCCh. 1.7 - Prob. 3LCCh. 1.7 - Prob. 4LCCh. 1.7 - Prob. 5LCCh. 1.7 - Prob. 6LCCh. 1.7 - Prob. 7LCCh. 1.7 - Prob. 8LCCh. 1.7 - Prob. 9PPECh. 1.7 - Prob. 10PPECh. 1.7 - Prob. 11PPECh. 1.7 - Prob. 12PPECh. 1.7 - Prob. 13PPECh. 1.7 - Prob. 14PPECh. 1.7 - Prob. 15PPECh. 1.7 - Prob. 16PPECh. 1.7 - Prob. 17PPECh. 1.7 - Prob. 18PPECh. 1.7 - Prob. 19PPECh. 1.7 - Prob. 20PPECh. 1.7 - Prob. 21PPECh. 1.7 - Prob. 22PPECh. 1.7 - Prob. 23PPECh. 1.7 - Prob. 24PPECh. 1.7 - Prob. 25PPECh. 1.7 - Prob. 26PPECh. 1.7 - Prob. 27PPECh. 1.7 - Prob. 28PPECh. 1.7 - Prob. 29PPECh. 1.7 - Prob. 30PPECh. 1.7 - Prob. 31PPECh. 1.7 - Prob. 32PPECh. 1.7 - Prob. 33PPECh. 1.7 - Prob. 34PPECh. 1.7 - Prob. 35PPECh. 1.7 - Prob. 36PPECh. 1.7 - Prob. 37PPECh. 1.7 - Prob. 38PPECh. 1.7 - Prob. 39PPECh. 1.7 - Prob. 40PPECh. 1.7 - Prob. 41PPECh. 1.7 - Prob. 42PPECh. 1.7 - Prob. 43PPECh. 1.7 - Prob. 44PPECh. 1.7 - Prob. 45PPECh. 1.7 - Prob. 46PPECh. 1.7 - Prob. 47PPECh. 1.7 - Prob. 48PPECh. 1.7 - Prob. 49PPECh. 1.7 - Prob. 50PPECh. 1.7 - Prob. 51PPECh. 1.7 - Prob. 52PPECh. 1.7 - Prob. 53PPECh. 1.7 - Prob. 54PPECh. 1.7 - Prob. 55PPECh. 1.7 - Prob. 56PPECh. 1.7 - Prob. 57PPECh. 1.7 - Prob. 58PPECh. 1.7 - Prob. 59PPECh. 1.7 - Prob. 60PPECh. 1.7 - Prob. 61PPECh. 1.7 - Prob. 62PPECh. 1.7 - Prob. 63PPECh. 1.7 - Prob. 64PPECh. 1.7 - Prob. 65PPECh. 1.7 - Prob. 66PPECh. 1.7 - Prob. 67PPECh. 1.7 - Prob. 68PPECh. 1.7 - Prob. 69PPECh. 1.7 - Prob. 70PPECh. 1.7 - Prob. 71PPECh. 1.7 - Prob. 72PPECh. 1.7 - Prob. 73PPECh. 1.7 - Prob. 74PPECh. 1.7 - Prob. 75PPECh. 1.7 - Prob. 76PPECh. 1.7 - Prob. 77PPECh. 1.7 - Prob. 78PPECh. 1.7 - Prob. 79PPECh. 1.7 - Prob. 80PPECh. 1.7 - Prob. 81PPECh. 1.7 - Prob. 82PPECh. 1.7 - Prob. 83PPECh. 1.7 - Prob. 84PPECh. 1.7 - Prob. 85PPECh. 1.7 - Prob. 86PPECh. 1.7 - Prob. 87PPECh. 1.7 - Prob. 88PPECh. 1.7 - Prob. 89PPECh. 1.7 - Prob. 90PPECh. 1.7 - Prob. 1MPCh. 1.8 - Prob. 1PCh. 1.8 - Prob. 2PCh. 1.8 - Prob. 3PCh. 1.8 - Prob. 4PCh. 1.8 - Prob. 5PCh. 1.8 - Prob. 6PCh. 1.8 - Prob. 1LCCh. 1.8 - Prob. 2LCCh. 1.8 - Prob. 3LCCh. 1.8 - Prob. 4LCCh. 1.8 - Prob. 5LCCh. 1.8 - Prob. 6LCCh. 1.8 - Prob. 7PPECh. 1.8 - Prob. 8PPECh. 1.8 - Prob. 9PPECh. 1.8 - Prob. 10PPECh. 1.8 - Prob. 11PPECh. 1.8 - Prob. 12PPECh. 1.8 - Prob. 13PPECh. 1.8 - Prob. 14PPECh. 1.8 - Prob. 15PPECh. 1.8 - Prob. 16PPECh. 1.8 - Prob. 17PPECh. 1.8 - Prob. 18PPECh. 1.8 - Prob. 19PPECh. 1.8 - Prob. 20PPECh. 1.8 - Prob. 21PPECh. 1.8 - Prob. 22PPECh. 1.8 - Prob. 23PPECh. 1.8 - Prob. 24PPECh. 1.8 - Prob. 25PPECh. 1.8 - Prob. 26PPECh. 1.8 - Prob. 27PPECh. 1.8 - Prob. 28PPECh. 1.8 - Prob. 29PPECh. 1.8 - Prob. 30PPECh. 1.8 - Prob. 31PPECh. 1.8 - Prob. 32PPECh. 1.8 - Prob. 33PPECh. 1.8 - Prob. 34PPECh. 1.8 - Prob. 35PPECh. 1.8 - Prob. 36PPECh. 1.8 - Prob. 37PPECh. 1.8 - Prob. 38PPECh. 1.8 - Prob. 39PPECh. 1.8 - Prob. 40PPECh. 1.8 - Prob. 41PPECh. 1.8 - Prob. 42PPECh. 1.8 - Prob. 43PPECh. 1.8 - Prob. 44PPECh. 1.8 - Prob. 45PPECh. 1.8 - Prob. 46PPECh. 1.8 - Prob. 47PPECh. 1.8 - Prob. 48PPECh. 1.8 - Prob. 49PPECh. 1.8 - Prob. 50PPECh. 1.8 - Prob. 51PPECh. 1.8 - Prob. 52PPECh. 1.8 - Prob. 53PPECh. 1.8 - Prob. 54PPECh. 1.8 - Prob. 55PPECh. 1.8 - Prob. 56PPECh. 1.8 - Prob. 57PPECh. 1.8 - Prob. 58PPECh. 1.8 - Prob. 59PPECh. 1.8 - Prob. 60PPECh. 1.8 - Prob. 61PPECh. 1.8 - Prob. 62PPECh. 1.8 - Prob. 63PPECh. 1.8 - Prob. 64PPECh. 1.8 - Prob. 65PPECh. 1.8 - Prob. 66PPECh. 1.8 - Prob. 1MPCh. 1.8 - Prob. 1CBCh. 1.8 - Prob. 2CBCh. 1.9 - Prob. 1RCh. 1.9 - Prob. 2RCh. 1.9 - Prob. 3RCh. 1.9 - Prob. 4RCh. 1.9 - Prob. 1PCh. 1.9 - Prob. 2PCh. 1.9 - Prob. 3PCh. 1.9 - Prob. 1LCCh. 1.9 - Prob. 2LCCh. 1.9 - Prob. 3LCCh. 1.9 - Prob. 4LCCh. 1.9 - Prob. 5LCCh. 1.9 - Prob. 6LCCh. 1.9 - Prob. 7LCCh. 1.9 - Prob. 8PPECh. 1.9 - Prob. 9PPECh. 1.9 - Prob. 10PPECh. 1.9 - Prob. 11PPECh. 1.9 - Prob. 12PPECh. 1.9 - Prob. 13PPECh. 1.9 - Prob. 14PPECh. 1.9 - Prob. 15PPECh. 1.9 - Prob. 16PPECh. 1.9 - Prob. 17PPECh. 1.9 - Prob. 18PPECh. 1.9 - Prob. 19PPECh. 1.9 - Prob. 20PPECh. 1.9 - Prob. 21PPECh. 1.9 - Prob. 22PPECh. 1.9 - Prob. 23PPECh. 1.9 - Prob. 24PPECh. 1.9 - Prob. 25PPECh. 1.9 - Prob. 26PPECh. 1.9 - Prob. 27PPECh. 1.9 - Prob. 28PPECh. 1.9 - Prob. 29PPECh. 1.9 - Prob. 30PPECh. 1.9 - Prob. 31PPECh. 1.9 - Prob. 32PPECh. 1.9 - Prob. 33PPECh. 1.9 - Prob. 34PPECh. 1.9 - Prob. 35PPECh. 1.9 - Prob. 36STPCh. 1.9 - Prob. 37STPCh. 1.9 - Prob. 38STPCh. 1.9 - Prob. 39STPCh. 1.9 - Prob. 40MRCh. 1.9 - Prob. 41MRCh. 1.9 - Prob. 42MRCh. 1.9 - Prob. 43MRCh. 1.9 - Prob. 44MRCh. 1.9 - Prob. 45MRCh. 1.9 - Prob. 46MRCh. 1.9 - Prob. 47MRCh. 1.9 - Prob. 48MRCh. 1.9 - Prob. 49MRCh. 1.9 - Prob. 50MRCh. 1.9 - Prob. 51MRCh. 1.9 - Prob. 52MRCh. 1.9 - Prob. 53MRCh. 1.9 - Prob. 54MRCh. 1 - Prob. 1GRCh. 1 - Prob. 2GRCh. 1 - Prob. 3GRCh. 1 - Prob. 4GRCh. 1 - Prob. 5GRCh. 1 - Prob. 6GRCh. 1 - Prob. 7GRCh. 1 - Prob. 8GRCh. 1 - Prob. 9GRCh. 1 - Prob. 10GRCh. 1 - Prob. 11GRCh. 1 - Prob. 12GRCh. 1 - Prob. 13GRCh. 1 - Prob. 14GRCh. 1 - Prob. 15GRCh. 1 - Prob. 16GRCh. 1 - Prob. 17GRCh. 1 - Prob. 18GRCh. 1 - Prob. 19GRCh. 1 - Prob. 20GRCh. 1 - Prob. 21GRCh. 1 - Prob. 22GRCh. 1 - Prob. 23GRCh. 1 - Prob. 24GRCh. 1 - Prob. 25GRCh. 1 - Prob. 26GRCh. 1 - Prob. 27GRCh. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - Prob. 14CRCh. 1 - Prob. 15CRCh. 1 - Prob. 16CRCh. 1 - Prob. 17CRCh. 1 - Prob. 18CRCh. 1 - Prob. 19CRCh. 1 - Prob. 20CRCh. 1 - Prob. 21CRCh. 1 - Prob. 22CRCh. 1 - Prob. 23CRCh. 1 - Prob. 24CRCh. 1 - Prob. 25CRCh. 1 - Prob. 26CRCh. 1 - Prob. 27CRCh. 1 - Prob. 28CRCh. 1 - Prob. 29CRCh. 1 - Prob. 30CRCh. 1 - Prob. 31CRCh. 1 - Prob. 32CRCh. 1 - Prob. 33CRCh. 1 - Prob. 34CRCh. 1 - Prob. 35CRCh. 1 - Prob. 36CRCh. 1 - Prob. 37CRCh. 1 - Prob. 38CRCh. 1 - Prob. 39CRCh. 1 - Prob. 40CRCh. 1 - Prob. 41CRCh. 1 - Prob. 42CRCh. 1 - Prob. 43CRCh. 1 - Prob. 44CRCh. 1 - Prob. 45CRCh. 1 - Prob. 46CRCh. 1 - Prob. 47CRCh. 1 - Prob. 48CRCh. 1 - Prob. 49CRCh. 1 - Prob. 50CRCh. 1 - Prob. 51CRCh. 1 - Prob. 52CRCh. 1 - Prob. 53CRCh. 1 - Prob. 54CRCh. 1 - Prob. 55CRCh. 1 - Prob. 56CRCh. 1 - Prob. 57CRCh. 1 - Prob. 58CRCh. 1 - Prob. 59CRCh. 1 - Prob. 60CRCh. 1 - Prob. 61CRCh. 1 - Prob. 62CRCh. 1 - Prob. 63CRCh. 1 - Prob. 64CRCh. 1 - Prob. 65CRCh. 1 - Prob. 66CRCh. 1 - Prob. 67CRCh. 1 - Prob. 68CRCh. 1 - Prob. 69CRCh. 1 - Prob. 70CRCh. 1 - Prob. 71CRCh. 1 - Prob. 72CRCh. 1 - Prob. 73CRCh. 1 - Prob. 74CRCh. 1 - Prob. 75CRCh. 1 - Prob. 76CRCh. 1 - Prob. 77CRCh. 1 - Prob. 78CRCh. 1 - Prob. 79CRCh. 1 - Prob. 80CRCh. 1 - Prob. 81CRCh. 1 - Prob. 82CRCh. 1 - Prob. 83CRCh. 1 - Prob. 84CRCh. 1 - Prob. 85CRCh. 1 - Prob. 86CRCh. 1 - Prob. 87CRCh. 1 - Prob. 88CRCh. 1 - Prob. 89CRCh. 1 - Prob. 90CRCh. 1 - Prob. 91CRCh. 1 - Prob. 92CRCh. 1 - Prob. 93CRCh. 1 - Prob. 94CRCh. 1 - Prob. 95CRCh. 1 - Prob. 96CRCh. 1 - Prob. 97CRCh. 1 - Prob. 98CRCh. 1 - Prob. 99CRCh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 22CTCh. 1 - Prob. 23CTCh. 1 - Prob. 24CTCh. 1 - Prob. 1CCSRCh. 1 - Prob. 2CCSRCh. 1 - Prob. 3CCSRCh. 1 - Prob. 4CCSRCh. 1 - Prob. 5CCSRCh. 1 - Prob. 6CCSRCh. 1 - Prob. 7CCSRCh. 1 - Prob. 8CCSRCh. 1 - Prob. 9CCSRCh. 1 - Prob. 10CCSRCh. 1 - Prob. 11CCSRCh. 1 - Prob. 12CCSRCh. 1 - Prob. 13CCSRCh. 1 - Prob. 14CCSRCh. 1 - Prob. 15CCSRCh. 1 - Prob. 16CCSRCh. 1 - Prob. 17CCSRCh. 1 - Prob. 18CCSRCh. 1 - Prob. 19CCSRCh. 1 - Prob. 20CCSRCh. 1 - Prob. 21CCSRCh. 1 - Prob. 22CCSRCh. 1 - Prob. 23CCSRCh. 1 - Prob. 24CCSR

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