High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 10.5, Problem 41PPSE
Solution

a.

To determine: The error appears for some entries.

The error is due to negative radicand.

Given Information:

The equation is defined as,

  y=x2−9

Explanation:

Consider the given information,

Draw the given tables,

    XY1
    0Error
    1Error
    2Error
    30
    42.6458
    54
    65.1962
    109.5394
    2019.774
    3029.85
    4039.887
    5049.914
    6059.925
    7069.936

It can be observed the function gives the only positive values roots. For the value 3 the value of the function is 0. This implies that all the previous values was making a negative radical in the root. And the calculation is unable to find the negative number root, as it is working in real numbers mode.

Therefore, the error is due to negative radicand.

b.

To determine: The explanation the relation between the x -axis and y− coordinates as x increase.

It is getting closed to y -coordinate.

Given Information:

The equation is defined as,

  y=x2−9

Calculation:

Consider the given information,

  y=x2−9

Observed the given table.

It is be observed that as the value of x is increasing in the table the value of root is coming to closed to y -coordinate. But not equal to x -axis.

Hence, the value is getting closed to y -coordinate.

c.

To determine: The explanation that x - and y -coordinates will ever be equal.

They cannot be equal.

Given Information:

The equation is defined as,

  y=x2−9

Calculation:

Consider the given information,

    XY1
    0Error
    1Error
    2Error
    30
    42.6458
    54
    65.1962
    109.5394
    2019.774
    3029.85
    4039.887
    5049.914
    6059.925
    7069.936

It can be seen in the table the value of y coming closed to the x -axis. But the can never be equal.

  x2−9<x2

For the all the real numbers.

Therefore, they cannot be equal.

d.

To determine: The equations of the asymptote of this hyperbola and verify your answer by drawing the complete graph.

The given statement has verify by the graph and the asymptote is y=±x .

Given Information:

The equation is defined as,

  y=x2−9

Calculation:

Consider the given information,

  y=x2−9

Square the both side and simplify the obtained result.

  y2=x2−92y2=x2−9x2−y2=9x29−y29=1

The asymptote of the hyperbola is defined as y=k±x−h . Substitute the values and find.

  y=0±x−0y=±x

Now, draw the both the graph in same from.

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 10.5, Problem 41PPSE

Therefore, the given statement has verify by the graph and the asymptote is y=±x .

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Chapter 10.5, Problem 42PPSE

Chapter 10 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 10.1 - Prob. 1LCCh. 10.1 - Prob. 2LCCh. 10.1 - Prob. 3LCCh. 10.1 - Prob. 4LCCh. 10.1 - Prob. 5LCCh. 10.1 - Prob. 6LCCh. 10.1 - Prob. 7PPSECh. 10.1 - Prob. 8PPSECh. 10.1 - Prob. 9PPSECh. 10.1 - Prob. 10PPSE
Ch. 10.1 - Prob. 11PPSECh. 10.1 - Prob. 12PPSECh. 10.1 - Prob. 13PPSECh. 10.1 - Prob. 14PPSECh. 10.1 - Prob. 15PPSECh. 10.1 - Prob. 16PPSECh. 10.1 - Prob. 17PPSECh. 10.1 - Prob. 18PPSECh. 10.1 - Prob. 19PPSECh. 10.1 - Prob. 20PPSECh. 10.1 - Prob. 21PPSECh. 10.1 - Prob. 22PPSECh. 10.1 - Prob. 23PPSECh. 10.1 - Prob. 24PPSECh. 10.1 - Prob. 25PPSECh. 10.1 - Prob. 26PPSECh. 10.1 - Prob. 27PPSECh. 10.1 - Prob. 28PPSECh. 10.1 - Prob. 29PPSECh. 10.1 - Prob. 30PPSECh. 10.1 - Prob. 31PPSECh. 10.1 - Prob. 32PPSECh. 10.1 - Prob. 33PPSECh. 10.1 - Prob. 34PPSECh. 10.1 - Prob. 35PPSECh. 10.1 - Prob. 36PPSECh. 10.1 - Prob. 37PPSECh. 10.1 - Prob. 38PPSECh. 10.1 - Prob. 39PPSECh. 10.1 - Prob. 40PPSECh. 10.1 - Prob. 41PPSECh. 10.1 - Prob. 42PPSECh. 10.1 - Prob. 43PPSECh. 10.1 - Prob. 44PPSECh. 10.1 - Prob. 45PPSECh. 10.1 - Prob. 46PPSECh. 10.1 - Prob. 47PPSECh. 10.1 - Prob. 48PPSECh. 10.1 - Prob. 49PPSECh. 10.1 - Prob. 50PPSECh. 10.1 - Prob. 51PPSECh. 10.1 - Prob. 52PPSECh. 10.1 - Prob. 53PPSECh. 10.1 - Prob. 54PPSECh. 10.1 - Prob. 55PPSECh. 10.1 - Prob. 56PPSECh. 10.1 - Prob. 57PPSECh. 10.1 - Prob. 58PPSECh. 10.1 - Prob. 59PPSECh. 10.1 - Prob. 60PPSECh. 10.1 - Prob. 61PPSECh. 10.1 - Prob. 62PPSECh. 10.1 - Prob. 63PPSECh. 10.1 - Prob. 64PPSECh. 10.1 - Prob. 65PPSECh. 10.1 - Prob. 66PPSECh. 10.1 - Prob. 67PPSECh. 10.1 - Prob. 68PPSECh. 10.1 - Prob. 69PPSECh. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.2 - Prob. 1LCCh. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.2 - Prob. 5LCCh. 10.2 - Prob. 6LCCh. 10.2 - Prob. 7PPSECh. 10.2 - Prob. 8PPSECh. 10.2 - Prob. 9PPSECh. 10.2 - Prob. 10PPSECh. 10.2 - Prob. 11PPSECh. 10.2 - Prob. 12PPSECh. 10.2 - Prob. 13PPSECh. 10.2 - Prob. 14PPSECh. 10.2 - Prob. 15PPSECh. 10.2 - Prob. 16PPSECh. 10.2 - Prob. 17PPSECh. 10.2 - Prob. 18PPSECh. 10.2 - Prob. 19PPSECh. 10.2 - Prob. 20PPSECh. 10.2 - Prob. 21PPSECh. 10.2 - Prob. 22PPSECh. 10.2 - Prob. 23PPSECh. 10.2 - Prob. 24PPSECh. 10.2 - Prob. 25PPSECh. 10.2 - Prob. 26PPSECh. 10.2 - Prob. 27PPSECh. 10.2 - Prob. 28PPSECh. 10.2 - Prob. 29PPSECh. 10.2 - Prob. 30PPSECh. 10.2 - Prob. 31PPSECh. 10.2 - Prob. 32PPSECh. 10.2 - Prob. 33PPSECh. 10.2 - Prob. 34PPSECh. 10.2 - Prob. 35PPSECh. 10.2 - Prob. 36PPSECh. 10.2 - Prob. 37PPSECh. 10.2 - Prob. 38PPSECh. 10.2 - Prob. 39PPSECh. 10.2 - Prob. 40PPSECh. 10.2 - Prob. 41PPSECh. 10.2 - Prob. 42PPSECh. 10.2 - Prob. 43PPSECh. 10.2 - Prob. 44PPSECh. 10.2 - Prob. 45PPSECh. 10.2 - Prob. 46PPSECh. 10.2 - Prob. 47PPSECh. 10.2 - Prob. 48PPSECh. 10.2 - Prob. 49PPSECh. 10.2 - Prob. 50PPSECh. 10.2 - Prob. 51PPSECh. 10.2 - Prob. 52PPSECh. 10.2 - Prob. 53PPSECh. 10.2 - Prob. 54PPSECh. 10.2 - Prob. 55PPSECh. 10.2 - Prob. 56PPSECh. 10.2 - Prob. 57PPSECh. 10.2 - Prob. 58PPSECh. 10.2 - Prob. 59PPSECh. 10.2 - Prob. 60PPSECh. 10.2 - Prob. 61PPSECh. 10.2 - Prob. 62PPSECh. 10.2 - Prob. 63PPSECh. 10.2 - Prob. 64PPSECh. 10.2 - Prob. 65PPSECh. 10.2 - Prob. 66PPSECh. 10.2 - Prob. 67PPSECh. 10.2 - Prob. 68PPSECh. 10.2 - Prob. 69PPSECh. 10.3 - Prob. 1LCCh. 10.3 - Prob. 2LCCh. 10.3 - Prob. 3LCCh. 10.3 - Prob. 4LCCh. 10.3 - Prob. 5LCCh. 10.3 - Prob. 6LCCh. 10.3 - Prob. 7PPSECh. 10.3 - Prob. 8PPSECh. 10.3 - Prob. 9PPSECh. 10.3 - Prob. 10PPSECh. 10.3 - Prob. 11PPSECh. 10.3 - Prob. 12PPSECh. 10.3 - Prob. 13PPSECh. 10.3 - Prob. 14PPSECh. 10.3 - Prob. 15PPSECh. 10.3 - Prob. 16PPSECh. 10.3 - Prob. 17PPSECh. 10.3 - Prob. 18PPSECh. 10.3 - Prob. 19PPSECh. 10.3 - Prob. 20PPSECh. 10.3 - Prob. 21PPSECh. 10.3 - Prob. 22PPSECh. 10.3 - Prob. 23PPSECh. 10.3 - Prob. 24PPSECh. 10.3 - Prob. 25PPSECh. 10.3 - Prob. 26PPSECh. 10.3 - Prob. 27PPSECh. 10.3 - Prob. 28PPSECh. 10.3 - Prob. 29PPSECh. 10.3 - Prob. 30PPSECh. 10.3 - Prob. 31PPSECh. 10.3 - Prob. 32PPSECh. 10.3 - Prob. 33PPSECh. 10.3 - Prob. 34PPSECh. 10.3 - Prob. 35PPSECh. 10.3 - Prob. 36PPSECh. 10.3 - Prob. 37PPSECh. 10.3 - Prob. 38PPSECh. 10.3 - Prob. 39PPSECh. 10.3 - Prob. 40PPSECh. 10.3 - Prob. 41PPSECh. 10.3 - Prob. 42PPSECh. 10.3 - Prob. 43PPSECh. 10.3 - Prob. 44PPSECh. 10.3 - Prob. 45PPSECh. 10.3 - Prob. 46PPSECh. 10.3 - Prob. 47PPSECh. 10.3 - Prob. 48PPSECh. 10.3 - Prob. 49PPSECh. 10.3 - Prob. 50PPSECh. 10.3 - Prob. 51PPSECh. 10.3 - Prob. 52PPSECh. 10.3 - Prob. 53PPSECh. 10.3 - Prob. 54PPSECh. 10.3 - Prob. 55PPSECh. 10.3 - Prob. 56PPSECh. 10.3 - Prob. 57PPSECh. 10.3 - Prob. 58PPSECh. 10.3 - Prob. 59PPSECh. 10.3 - Prob. 60PPSECh. 10.3 - Prob. 61PPSECh. 10.3 - Prob. 62PPSECh. 10.3 - Prob. 63PPSECh. 10.3 - Prob. 64PPSECh. 10.3 - Prob. 65PPSECh. 10.3 - Prob. 66PPSECh. 10.4 - Prob. 1LCCh. 10.4 - Prob. 2LCCh. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.4 - Prob. 5LCCh. 10.4 - Prob. 6LCCh. 10.4 - Prob. 7PPSECh. 10.4 - Prob. 8PPSECh. 10.4 - Prob. 9PPSECh. 10.4 - Prob. 10PPSECh. 10.4 - Prob. 11PPSECh. 10.4 - Prob. 12PPSECh. 10.4 - Prob. 13PPSECh. 10.4 - Prob. 14PPSECh. 10.4 - Prob. 15PPSECh. 10.4 - Prob. 16PPSECh. 10.4 - Prob. 17PPSECh. 10.4 - Prob. 18PPSECh. 10.4 - Prob. 19PPSECh. 10.4 - Prob. 20PPSECh. 10.4 - Prob. 21PPSECh. 10.4 - Prob. 22PPSECh. 10.4 - Prob. 23PPSECh. 10.4 - Prob. 24PPSECh. 10.4 - Prob. 25PPSECh. 10.4 - Prob. 26PPSECh. 10.4 - Prob. 27PPSECh. 10.4 - Prob. 28PPSECh. 10.4 - Prob. 29PPSECh. 10.4 - Prob. 30PPSECh. 10.4 - Prob. 31PPSECh. 10.4 - Prob. 32PPSECh. 10.4 - Prob. 33PPSECh. 10.4 - Prob. 34PPSECh. 10.4 - Prob. 36PPSECh. 10.4 - Prob. 37PPSECh. 10.4 - Prob. 38PPSECh. 10.4 - Prob. 39PPSECh. 10.4 - Prob. 40PPSECh. 10.4 - Prob. 41PPSECh. 10.4 - Prob. 44PPSECh. 10.4 - Prob. 45PPSECh. 10.4 - Prob. 46PPSECh. 10.4 - Prob. 48PPSECh. 10.4 - Prob. 49PPSECh. 10.4 - Prob. 50PPSECh. 10.4 - Prob. 51PPSECh. 10.4 - Prob. 52PPSECh. 10.4 - Prob. 53PPSECh. 10.4 - Prob. 54PPSECh. 10.4 - Prob. 55PPSECh. 10.4 - Prob. 56PPSECh. 10.4 - Prob. 57PPSECh. 10.4 - Prob. 58PPSECh. 10.4 - Prob. 59PPSECh. 10.5 - Prob. 1LCCh. 10.5 - Prob. 2LCCh. 10.5 - Prob. 3LCCh. 10.5 - Prob. 4LCCh. 10.5 - Prob. 5LCCh. 10.5 - Prob. 6LCCh. 10.5 - Prob. 7LCCh. 10.5 - Prob. 8PPSECh. 10.5 - Prob. 9PPSECh. 10.5 - Prob. 10PPSECh. 10.5 - Prob. 11PPSECh. 10.5 - Prob. 12PPSECh. 10.5 - Prob. 13PPSECh. 10.5 - Prob. 14PPSECh. 10.5 - Prob. 15PPSECh. 10.5 - Prob. 16PPSECh. 10.5 - Prob. 17PPSECh. 10.5 - Prob. 18PPSECh. 10.5 - Prob. 19PPSECh. 10.5 - Prob. 20PPSECh. 10.5 - Prob. 21PPSECh. 10.5 - Prob. 22PPSECh. 10.5 - Prob. 23PPSECh. 10.5 - Prob. 24PPSECh. 10.5 - Prob. 25PPSECh. 10.5 - Prob. 26PPSECh. 10.5 - Prob. 27PPSECh. 10.5 - Prob. 28PPSECh. 10.5 - Prob. 29PPSECh. 10.5 - Prob. 30PPSECh. 10.5 - Prob. 31PPSECh. 10.5 - Prob. 32PPSECh. 10.5 - Prob. 33PPSECh. 10.5 - Prob. 34PPSECh. 10.5 - Prob. 35PPSECh. 10.5 - Prob. 36PPSECh. 10.5 - Prob. 37PPSECh. 10.5 - Prob. 38PPSECh. 10.5 - Prob. 39PPSECh. 10.5 - Prob. 40PPSECh. 10.5 - Prob. 41PPSECh. 10.5 - Prob. 42PPSECh. 10.6 - Prob. 1LCCh. 10.6 - Prob. 2LCCh. 10.6 - Prob. 3LCCh. 10.6 - Prob. 4LCCh. 10.6 - Prob. 5LCCh. 10.6 - Prob. 6LCCh. 10.6 - Prob. 7LCCh. 10.6 - Prob. 8PPSECh. 10.6 - Prob. 9PPSECh. 10.6 - Prob. 10PPSECh. 10.6 - Prob. 11PPSECh. 10.6 - Prob. 12PPSECh. 10.6 - Prob. 13PPSECh. 10.6 - Prob. 14PPSECh. 10.6 - Prob. 15PPSECh. 10.6 - Prob. 16PPSECh. 10.6 - Prob. 17PPSECh. 10.6 - Prob. 18PPSECh. 10.6 - Prob. 19PPSECh. 10.6 - Prob. 20PPSECh. 10.6 - Prob. 21PPSECh. 10.6 - Prob. 22PPSECh. 10.6 - Prob. 23PPSECh. 10.6 - Prob. 24PPSECh. 10.6 - Prob. 25PPSECh. 10.6 - Prob. 26PPSECh. 10.6 - Prob. 27PPSECh. 10.6 - Prob. 28PPSECh. 10.6 - Prob. 29PPSECh. 10.6 - Prob. 30PPSECh. 10.6 - Prob. 31PPSECh. 10.6 - Prob. 32PPSECh. 10.6 - Prob. 33PPSECh. 10.6 - Prob. 34PPSECh. 10.6 - Prob. 35PPSECh. 10.6 - Prob. 36PPSECh. 10.6 - Prob. 37PPSECh. 10.6 - Prob. 38PPSECh. 10.6 - Prob. 39PPSECh. 10.6 - Prob. 40PPSECh. 10.6 - Prob. 41PPSECh. 10.6 - Prob. 42PPSECh. 10.6 - Prob. 43PPSECh. 10.6 - Prob. 44PPSECh. 10.6 - Prob. 45PPSECh. 10.6 - Prob. 46PPSECh. 10.6 - Prob. 47PPSECh. 10.6 - Prob. 48PPSECh. 10.6 - Prob. 49PPSECh. 10.6 - Prob. 50PPSECh. 10.6 - Prob. 51PPSECh. 10.6 - Prob. 52PPSECh. 10.6 - Prob. 53PPSECh. 10.6 - Prob. 1ECh. 10.6 - Prob. 2ECh. 10.6 - Prob. 3ECh. 10.6 - Prob. 4ECh. 10.6 - Prob. 5ECh. 10.6 - Prob. 6ECh. 10.6 - Prob. 7ECh. 10.6 - Prob. 8ECh. 10 - Prob. 1GRCh. 10 - Prob. 2GRCh. 10 - Prob. 3GRCh. 10 - Prob. 4GRCh. 10 - Prob. 5GRCh. 10 - Prob. 6GRCh. 10 - Prob. 7GRCh. 10 - Prob. 8GRCh. 10 - Prob. 9GRCh. 10 - Prob. 10GRCh. 10 - Prob. 11GRCh. 10 - Prob. 12GRCh. 10 - Prob. 13GRCh. 10 - Prob. 14GRCh. 10 - Prob. 15GRCh. 10 - Prob. 16GRCh. 10 - Prob. 17GRCh. 10 - Prob. 18GRCh. 10 - Prob. 19GRCh. 10 - Prob. 20GRCh. 10 - Prob. 21GRCh. 10 - Prob. 22GRCh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 13MCQCh. 10 - Prob. 14MCQCh. 10 - Prob. 15MCQCh. 10 - Prob. 16MCQCh. 10 - Prob. 17MCQCh. 10 - Prob. 18MCQCh. 10 - Prob. 19MCQCh. 10 - Prob. 20MCQCh. 10 - Prob. 21MCQCh. 10 - Prob. 22MCQCh. 10 - Prob. 23MCQCh. 10 - Prob. 24MCQCh. 10 - Prob. 25MCQCh. 10 - Prob. 26MCQCh. 10 - Prob. 27MCQCh. 10 - Prob. 1CVCh. 10 - Prob. 2CVCh. 10 - Prob. 3CVCh. 10 - Prob. 4CVCh. 10 - Prob. 5CVCh. 10 - Prob. 6ECh. 10 - Prob. 7ECh. 10 - Prob. 8ECh. 10 - Prob. 9ECh. 10 - Prob. 10ECh. 10 - Prob. 11ECh. 10 - Prob. 12ECh. 10 - Prob. 13ECh. 10 - Prob. 14ECh. 10 - Prob. 15ECh. 10 - Prob. 16ECh. 10 - Prob. 17ECh. 10 - Prob. 18ECh. 10 - Prob. 19ECh. 10 - Prob. 20ECh. 10 - Prob. 21ECh. 10 - Prob. 22ECh. 10 - Prob. 23ECh. 10 - Prob. 24ECh. 10 - Prob. 25ECh. 10 - Prob. 26ECh. 10 - Prob. 27ECh. 10 - Prob. 28ECh. 10 - Prob. 29ECh. 10 - Prob. 30ECh. 10 - Prob. 31ECh. 10 - Prob. 32ECh. 10 - Prob. 33ECh. 10 - Prob. 34ECh. 10 - Prob. 35ECh. 10 - Prob. 36ECh. 10 - Prob. 37ECh. 10 - Prob. 38ECh. 10 - Prob. 39ECh. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Prob. 42ECh. 10 - Prob. 43ECh. 10 - Prob. 44ECh. 10 - Prob. 45ECh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 13CTCh. 10 - Prob. 14CTCh. 10 - Prob. 15CTCh. 10 - Prob. 16CTCh. 10 - Prob. 17CTCh. 10 - Prob. 18CTCh. 10 - Prob. 19CTCh. 10 - Prob. 20CTCh. 10 - Prob. 21CTCh. 10 - Prob. 22CTCh. 10 - Prob. 23CTCh. 10 - Prob. 24CTCh. 10 - Prob. 25CTCh. 10 - Prob. 26CTCh. 10 - Prob. 27CTCh. 10 - Prob. 28CTCh. 10 - Prob. 29CTCh. 10 - Prob. 30CTCh. 10 - Prob. 31CTCh. 10 - Prob. 32CTCh. 10 - Prob. 1CCSRCh. 10 - Prob. 2CCSRCh. 10 - Prob. 3CCSRCh. 10 - Prob. 4CCSRCh. 10 - Prob. 5CCSRCh. 10 - Prob. 6CCSRCh. 10 - Prob. 7CCSRCh. 10 - Prob. 8CCSRCh. 10 - Prob. 9CCSRCh. 10 - Prob. 10CCSRCh. 10 - Prob. 11CCSRCh. 10 - Prob. 12CCSRCh. 10 - Prob. 13CCSRCh. 10 - Prob. 14CCSRCh. 10 - Prob. 15CCSRCh. 10 - Prob. 16CCSRCh. 10 - Prob. 17CCSRCh. 10 - Prob. 18CCSRCh. 10 - Prob. 19CCSRCh. 10 - Prob. 20CCSRCh. 10 - Prob. 21CCSRCh. 10 - Prob. 22CCSRCh. 10 - Prob. 23CCSRCh. 10 - Prob. 24CCSRCh. 10 - Prob. 25CCSRCh. 10 - Prob. 26CCSR
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