Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Question
Chapter 2.6, Problem 43PPS
a.
To determine
The ratio of the number of indoor theaters to the total number of theaters for each year.
a.
Expert Solution
Answer to Problem 43PPS
| Year | Indoor | Drive-In | Total | Ratios of indoor to the total |
| 2005 | 37040 | 648 | 37688 | |
| 2006 | 37765 | 650 | 38415 | |
| 2007 | 38159 | 635 | 38794 | |
| 2008 | 38201 | 633 | 38834 | |
| 2009 | 38605 | 628 | 39233 | |
| 2010 | 38902 | 618 | 39520 | |
| 2011 | 38974 | 606 | 39580 |
Explanation of Solution
Given:
The table:
| Year | Indoor | Drive-In | Total |
| 2005 | 37040 | 648 | 37688 |
| 2006 | 37765 | 650 | 38415 |
| 2007 | 38159 | 635 | 38794 |
| 2008 | 38201 | 633 | 38834 |
| 2009 | 38605 | 628 | 39233 |
| 2010 | 38902 | 618 | 39520 |
| 2011 | 38974 | 606 | 39580 |
Calculation:
The ratio of the number of indoor theaters to the total number of theaters for each year shown below in the table:
| Year | Indoor | Drive-In | Total | Ratios of indoor to the total |
| 2005 | 37040 | 648 | 37688 | |
| 2006 | 37765 | 650 | 38415 | |
| 2007 | 38159 | 635 | 38794 | |
| 2008 | 38201 | 633 | 38834 | |
| 2009 | 38605 | 628 | 39233 | |
| 2010 | 38902 | 618 | 39520 | |
| 2011 | 38974 | 606 | 39580 |
b.
To determine
Any of ratios in part (a) form a proportion?
b.
Expert Solution
Answer to Problem 43PPS
Explanation of Solution
Given:
The table,
| Year | Indoor | Drive-In | Total | Ratios of indoor to the total |
| 2005 | 37040 | 648 | 37688 | |
| 2006 | 37765 | 650 | 38415 | |
| 2007 | 38159 | 635 | 38794 | |
| 2008 | 38201 | 633 | 38834 | |
| 2009 | 38605 | 628 | 39233 | |
| 2010 | 38902 | 618 | 39520 | |
| 2011 | 38974 | 606 | 39580 |
Calculation:
From the above table it is clear that no to ratios are equal, hence no two ratios are making a proportion.
Thus, there are no two ratios which making a proportion.
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Ch. 2.1 - Prob. 1AGPCh. 2.1 - Prob. 1BGPCh. 2.1 - Prob. 2GPCh. 2.1 - Prob. 3GPCh. 2.1 - Prob. 4AGPCh. 2.1 - Prob. 4BGPCh. 2.1 - Prob. 5GPCh. 2.1 - Prob. 1CYUCh. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYU
Ch. 2.1 - Prob. 4CYUCh. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11CYUCh. 2.1 - Prob. 12CYUCh. 2.1 - Prob. 13CYUCh. 2.1 - Prob. 14CYUCh. 2.1 - Prob. 15CYUCh. 2.1 - Prob. 16CYUCh. 2.1 - Prob. 17CYUCh. 2.1 - Prob. 18CYUCh. 2.1 - Prob. 19CYUCh. 2.1 - Prob. 20CYUCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35PPSCh. 2.1 - Prob. 36PPSCh. 2.1 - Prob. 37PPSCh. 2.1 - Prob. 38PPSCh. 2.1 - Prob. 39PPSCh. 2.1 - Prob. 40PPSCh. 2.1 - Prob. 41PPSCh. 2.1 - Prob. 42PPSCh. 2.1 - Prob. 43PPSCh. 2.1 - Prob. 44PPSCh. 2.1 - Prob. 45PPSCh. 2.1 - Prob. 46PPSCh. 2.1 - Prob. 47HPCh. 2.1 - Prob. 48HPCh. 2.1 - Prob. 49HPCh. 2.1 - Prob. 50HPCh. 2.1 - Prob. 51PFACh. 2.1 - Prob. 52PFACh. 2.1 - Prob. 53PFACh. 2.1 - Prob. 54PFACh. 2.1 - Prob. 55PFACh. 2.1 - Prob. 56PFACh. 2.2 - Prob. 1AGPCh. 2.2 - Prob. 1BGPCh. 2.2 - Prob. 2AGPCh. 2.2 - Prob. 2BGPCh. 2.2 - Prob. 3AGPCh. 2.2 - Prob. 3BGPCh. 2.2 - Prob. 4GPCh. 2.2 - Prob. 1CYUCh. 2.2 - Prob. 2CYUCh. 2.2 - Prob. 3CYUCh. 2.2 - Prob. 4CYUCh. 2.2 - Prob. 5CYUCh. 2.2 - Prob. 6CYUCh. 2.2 - Prob. 7CYUCh. 2.2 - Prob. 8CYUCh. 2.2 - Prob. 9CYUCh. 2.2 - Prob. 10CYUCh. 2.2 - Prob. 11CYUCh. 2.2 - Prob. 12CYUCh. 2.2 - Prob. 13CYUCh. 2.2 - Prob. 14CYUCh. 2.2 - Prob. 15CYUCh. 2.2 - Prob. 16CYUCh. 2.2 - Prob. 17CYUCh. 2.2 - Prob. 18PPSCh. 2.2 - Prob. 19PPSCh. 2.2 - Prob. 20PPSCh. 2.2 - Prob. 21PPSCh. 2.2 - Prob. 22PPSCh. 2.2 - Prob. 23PPSCh. 2.2 - Prob. 24PPSCh. 2.2 - Prob. 25PPSCh. 2.2 - Prob. 26PPSCh. 2.2 - Prob. 27PPSCh. 2.2 - Prob. 28PPSCh. 2.2 - Prob. 29PPSCh. 2.2 - Prob. 30PPSCh. 2.2 - Prob. 31PPSCh. 2.2 - Prob. 32PPSCh. 2.2 - Prob. 33PPSCh. 2.2 - Prob. 34PPSCh. 2.2 - Prob. 35PPSCh. 2.2 - Prob. 36PPSCh. 2.2 - Prob. 37PPSCh. 2.2 - 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Prob. 2BGPCh. 2.3 - Prob. 3GPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9CYUCh. 2.3 - Prob. 10CYUCh. 2.3 - Prob. 11PPSCh. 2.3 - Prob. 12PPSCh. 2.3 - Prob. 13PPSCh. 2.3 - Prob. 14PPSCh. 2.3 - Prob. 15PPSCh. 2.3 - Prob. 16PPSCh. 2.3 - Prob. 17PPSCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36PPSCh. 2.3 - Prob. 37PPSCh. 2.3 - Prob. 38PPSCh. 2.3 - Prob. 39PPSCh. 2.3 - Prob. 40PPSCh. 2.3 - Prob. 41PPSCh. 2.3 - Prob. 42PPSCh. 2.3 - Prob. 43PPSCh. 2.3 - Prob. 44PPSCh. 2.3 - Prob. 45PPSCh. 2.3 - Prob. 46PPSCh. 2.3 - Prob. 47PPSCh. 2.3 - Prob. 48PPSCh. 2.3 - Prob. 49PPSCh. 2.3 - Prob. 50PPSCh. 2.3 - Prob. 51PPSCh. 2.3 - Prob. 52PPSCh. 2.3 - Prob. 53HPCh. 2.3 - Prob. 54HPCh. 2.3 - Prob. 55HPCh. 2.3 - Prob. 56HPCh. 2.3 - Prob. 57HPCh. 2.3 - Prob. 58PFACh. 2.3 - Prob. 59PFACh. 2.3 - Prob. 60PFACh. 2.3 - Prob. 61PFACh. 2.3 - Prob. 62PFACh. 2.3 - Prob. 63PFACh. 2.3 - Prob. 64PFACh. 2.4 - Prob. 1AGPCh. 2.4 - Prob. 1BGPCh. 2.4 - Prob. 1CGPCh. 2.4 - Prob. 1DGPCh. 2.4 - Prob. 2AGPCh. 2.4 - Prob. 2BGPCh. 2.4 - Prob. 3AGPCh. 2.4 - Prob. 3BGPCh. 2.4 - Prob. 4PFACh. 2.4 - Prob. 1CYUCh. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3CYUCh. 2.4 - Prob. 4CYUCh. 2.4 - Prob. 5CYUCh. 2.4 - Prob. 6CYUCh. 2.4 - Prob. 7CYUCh. 2.4 - Prob. 8CYUCh. 2.4 - Prob. 9CYUCh. 2.4 - Prob. 10PPSCh. 2.4 - Prob. 11PPSCh. 2.4 - Prob. 12PPSCh. 2.4 - Prob. 13PPSCh. 2.4 - Prob. 14PPSCh. 2.4 - Prob. 15PPSCh. 2.4 - Prob. 16PPSCh. 2.4 - Prob. 17PPSCh. 2.4 - Prob. 18PPSCh. 2.4 - Prob. 19PPSCh. 2.4 - Prob. 20PPSCh. 2.4 - Prob. 21PPSCh. 2.4 - Prob. 22PPSCh. 2.4 - Prob. 23PPSCh. 2.4 - Prob. 24PPSCh. 2.4 - Prob. 25PPSCh. 2.4 - Prob. 26PPSCh. 2.4 - Prob. 27PPSCh. 2.4 - Prob. 28PPSCh. 2.4 - Prob. 29PPSCh. 2.4 - Prob. 30PPSCh. 2.4 - Prob. 31PPSCh. 2.4 - Prob. 32PPSCh. 2.4 - Prob. 33PPSCh. 2.4 - Prob. 34PPSCh. 2.4 - Prob. 35PPSCh. 2.4 - Prob. 36PPSCh. 2.4 - Prob. 37PPSCh. 2.4 - Prob. 38PPSCh. 2.4 - Prob. 39PPSCh. 2.4 - Prob. 40PPSCh. 2.4 - Prob. 41PPSCh. 2.4 - Prob. 42HPCh. 2.4 - Prob. 43HPCh. 2.4 - Prob. 44HPCh. 2.4 - Prob. 45HPCh. 2.4 - Prob. 46HPCh. 2.4 - Prob. 47HPCh. 2.4 - Prob. 48PFACh. 2.4 - Prob. 49PFACh. 2.4 - Prob. 50PFACh. 2.4 - Prob. 51PFACh. 2.4 - Prob. 52PFACh. 2.4 - Prob. 53PFACh. 2.4 - Prob. 54PFACh. 2.4 - Prob. 55PFACh. 2.4 - Prob. 56PFACh. 2.5 - Prob. 1GPCh. 2.5 - Prob. 2AGPCh. 2.5 - Prob. 2BGPCh. 2.5 - Prob. 3GPCh. 2.5 - Prob. 4GPCh. 2.5 - Prob. 1CYUCh. 2.5 - Prob. 2CYUCh. 2.5 - Prob. 3CYUCh. 2.5 - Prob. 4CYUCh. 2.5 - Prob. 5CYUCh. 2.5 - Prob. 6CYUCh. 2.5 - Prob. 7CYUCh. 2.5 - Prob. 8CYUCh. 2.5 - Prob. 9CYUCh. 2.5 - Prob. 10CYUCh. 2.5 - Prob. 11CYUCh. 2.5 - Prob. 12CYUCh. 2.5 - Prob. 13PPSCh. 2.5 - Prob. 14PPSCh. 2.5 - Prob. 15PPSCh. 2.5 - Prob. 16PPSCh. 2.5 - Prob. 17PPSCh. 2.5 - Prob. 18PPSCh. 2.5 - Prob. 19PPSCh. 2.5 - Prob. 20PPSCh. 2.5 - Prob. 21PPSCh. 2.5 - Prob. 22PPSCh. 2.5 - Prob. 23PPSCh. 2.5 - Prob. 24PPSCh. 2.5 - Prob. 25PPSCh. 2.5 - Prob. 26PPSCh. 2.5 - Prob. 27PPSCh. 2.5 - Prob. 28PPSCh. 2.5 - Prob. 29PPSCh. 2.5 - Prob. 30PPSCh. 2.5 - Prob. 31PPSCh. 2.5 - Prob. 32PPSCh. 2.5 - Prob. 33PPSCh. 2.5 - Prob. 34PPSCh. 2.5 - Prob. 35PPSCh. 2.5 - Prob. 36PPSCh. 2.5 - Prob. 37PPSCh. 2.5 - Prob. 38PPSCh. 2.5 - Prob. 39PPSCh. 2.5 - Prob. 40PPSCh. 2.5 - Prob. 41PPSCh. 2.5 - Prob. 42PPSCh. 2.5 - Prob. 43PPSCh. 2.5 - Prob. 44PPSCh. 2.5 - Prob. 45PPSCh. 2.5 - Prob. 46PPSCh. 2.5 - Prob. 47PPSCh. 2.5 - Prob. 48PPSCh. 2.5 - Prob. 49PPSCh. 2.5 - Prob. 50PPSCh. 2.5 - Prob. 51PPSCh. 2.5 - Prob. 52PPSCh. 2.5 - Prob. 53PPSCh. 2.5 - Prob. 54PPSCh. 2.5 - Prob. 55PPSCh. 2.5 - Prob. 56HPCh. 2.5 - Prob. 57HPCh. 2.5 - Prob. 58HPCh. 2.5 - Prob. 59HPCh. 2.5 - Prob. 60HPCh. 2.5 - Prob. 61HPCh. 2.5 - Prob. 62HPCh. 2.5 - Prob. 63HPCh. 2.5 - Prob. 64HPCh. 2.5 - Prob. 65PFACh. 2.5 - Prob. 66PFACh. 2.5 - Prob. 67PFACh. 2.5 - Prob. 68PFACh. 2.5 - Prob. 69PFACh. 2.5 - Prob. 70PFACh. 2.5 - Prob. 71PFACh. 2.5 - Prob. 72PFACh. 2.5 - Prob. 73PFACh. 2.5 - Prob. 74PFACh. 2.6 - Prob. 1AGPCh. 2.6 - Prob. 1BGPCh. 2.6 - Prob. 2AGPCh. 2.6 - Prob. 2BGPCh. 2.6 - Prob. 3AGPCh. 2.6 - Prob. 3BGPCh. 2.6 - Prob. 4GPCh. 2.6 - Prob. 5GPCh. 2.6 - Prob. 1CYUCh. 2.6 - Prob. 2CYUCh. 2.6 - Prob. 3CYUCh. 2.6 - Prob. 4CYUCh. 2.6 - Prob. 5CYUCh. 2.6 - Prob. 6CYUCh. 2.6 - Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9PPSCh. 2.6 - Prob. 10PPSCh. 2.6 - Prob. 11PPSCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36PPSCh. 2.6 - Prob. 37PPSCh. 2.6 - Prob. 38PPSCh. 2.6 - Prob. 39PPSCh. 2.6 - Prob. 40PPSCh. 2.6 - Prob. 41PPSCh. 2.6 - Prob. 42PPSCh. 2.6 - Prob. 43PPSCh. 2.6 - Prob. 44PPSCh. 2.6 - Prob. 45PPSCh. 2.6 - Prob. 46HPCh. 2.6 - Prob. 47HPCh. 2.6 - Prob. 48HPCh. 2.6 - Prob. 49HPCh. 2.6 - Prob. 50HPCh. 2.6 - Prob. 51PFACh. 2.6 - Prob. 52PFACh. 2.6 - Prob. 53PFACh. 2.6 - Prob. 54PFACh. 2.6 - Prob. 55PFACh. 2.6 - Prob. 56PFACh. 2.6 - Prob. 57PFACh. 2.6 - Prob. 58PFACh. 2.6 - Prob. 59PFACh. 2.6 - Prob. 60PFACh. 2.7 - Prob. 1AGPCh. 2.7 - Prob. 1BGPCh. 2.7 - Prob. 1CGPCh. 2.7 - Prob. 1DGPCh. 2.7 - Prob. 2AGPCh. 2.7 - Prob. 2BGPCh. 2.7 - Prob. 3GPCh. 2.7 - Prob. 4GPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3CYUCh. 2.7 - Prob. 4CYUCh. 2.7 - Prob. 5CYUCh. 2.7 - Prob. 6CYUCh. 2.7 - Prob. 7CYUCh. 2.7 - Prob. 8PPSCh. 2.7 - Prob. 9PPSCh. 2.7 - Prob. 10PPSCh. 2.7 - Prob. 11PPSCh. 2.7 - Prob. 12PPSCh. 2.7 - Prob. 13PPSCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17PPSCh. 2.7 - Prob. 18PPSCh. 2.7 - Prob. 19PPSCh. 2.7 - Prob. 20PPSCh. 2.7 - Prob. 21PPSCh. 2.7 - Prob. 22PPSCh. 2.7 - Prob. 23PPSCh. 2.7 - Prob. 24PPSCh. 2.7 - Prob. 25PPSCh. 2.7 - Prob. 26PPSCh. 2.7 - Prob. 27PPSCh. 2.7 - Prob. 28PPSCh. 2.7 - Prob. 29PPSCh. 2.7 - Prob. 30PPSCh. 2.7 - Prob. 31PPSCh. 2.7 - Prob. 32PPSCh. 2.7 - Prob. 33PPSCh. 2.7 - Prob. 34PPSCh. 2.7 - Prob. 35HPCh. 2.7 - Prob. 36HPCh. 2.7 - Prob. 37HPCh. 2.7 - Prob. 38HPCh. 2.7 - Prob. 39HPCh. 2.7 - Prob. 40HPCh. 2.7 - Prob. 41PFACh. 2.7 - Prob. 42PFACh. 2.7 - Prob. 43PFACh. 2.7 - Prob. 44PFACh. 2.7 - Prob. 45PFACh. 2.7 - Prob. 46PFACh. 2.7 - Prob. 47PFACh. 2.7 - Prob. 48PFACh. 2.7 - Prob. 49PFACh. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 3MCQCh. 2 - Prob. 4MCQCh. 2 - Prob. 5MCQCh. 2 - Prob. 6MCQCh. 2 - Prob. 7MCQCh. 2 - Prob. 8MCQCh. 2 - Prob. 9MCQCh. 2 - Prob. 10MCQCh. 2 - Prob. 11MCQCh. 2 - Prob. 12MCQCh. 2 - Prob. 13MCQCh. 2 - Prob. 14MCQCh. 2 - Prob. 15MCQCh. 2 - Prob. 16MCQCh. 2 - Prob. 17MCQCh. 2 - Prob. 18MCQCh. 2 - Prob. 19MCQCh. 2 - Prob. 20MCQCh. 2 - Prob. 21MCQCh. 2 - Prob. 22MCQCh. 2 - Prob. 23MCQCh. 2 - Prob. 24MCQCh. 2 - Prob. 25MCQCh. 2 - Prob. 1SGRCh. 2 - Prob. 2SGRCh. 2 - Prob. 3SGRCh. 2 - Prob. 4SGRCh. 2 - Prob. 5SGRCh. 2 - Prob. 6SGRCh. 2 - Prob. 7SGRCh. 2 - Prob. 8SGRCh. 2 - Prob. 9SGRCh. 2 - Prob. 10SGRCh. 2 - Prob. 11SGRCh. 2 - Prob. 12SGRCh. 2 - Prob. 13SGRCh. 2 - Prob. 14SGRCh. 2 - Prob. 15SGRCh. 2 - Prob. 16SGRCh. 2 - Prob. 17SGRCh. 2 - Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - Prob. 29SGRCh. 2 - Prob. 30SGRCh. 2 - Prob. 31SGRCh. 2 - Prob. 32SGRCh. 2 - Prob. 33SGRCh. 2 - Prob. 34SGRCh. 2 - Prob. 35SGRCh. 2 - Prob. 36SGRCh. 2 - Prob. 37SGRCh. 2 - Prob. 38SGRCh. 2 - Prob. 39SGRCh. 2 - Prob. 40SGRCh. 2 - Prob. 41SGRCh. 2 - Prob. 42SGRCh. 2 - Prob. 43SGRCh. 2 - Prob. 44SGRCh. 2 - Prob. 45SGRCh. 2 - Prob. 46SGRCh. 2 - Prob. 47SGRCh. 2 - Prob. 48SGRCh. 2 - Prob. 49SGRCh. 2 - Prob. 50SGRCh. 2 - Prob. 51SGRCh. 2 - Prob. 52SGRCh. 2 - Prob. 53SGRCh. 2 - Prob. 54SGRCh. 2 - Prob. 55SGRCh. 2 - Prob. 56SGRCh. 2 - Prob. 57SGRCh. 2 - Prob. 58SGRCh. 2 - Prob. 59SGRCh. 2 - Prob. 60SGRCh. 2 - Prob. 61SGRCh. 2 - Prob. 62SGRCh. 2 - Prob. 63SGRCh. 2 - Prob. 64SGRCh. 2 - Prob. 65SGRCh. 2 - Prob. 66SGRCh. 2 - Prob. 67SGRCh. 2 - Prob. 68SGRCh. 2 - Prob. 69SGRCh. 2 - Prob. 70SGRCh. 2 - Prob. 71SGRCh. 2 - Prob. 72SGRCh. 2 - Prob. 73SGRCh. 2 - Prob. 74SGRCh. 2 - Prob. 75SGRCh. 2 - Prob. 76SGRCh. 2 - Prob. 77SGRCh. 2 - Prob. 78SGRCh. 2 - Prob. 79SGRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 21PTCh. 2 - Prob. 22PTCh. 2 - Prob. 23PTCh. 2 - Prob. 24PTCh. 2 - Prob. 25PTCh. 2 - Prob. 1CRCh. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Prob. 15CR
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- (c) Let A = -1 3 -4 12 3 3 -9 (i) Find bases for row(A), col(A) and N(A). (ii) Determine the rank and nullity of A, and verify that the Rank-Nullity Theorem holds for the above matrix A.arrow_forward-(0)-(0)-(0) X1 = x2 = x3 = 1 (a) Show that the vectors X1, X2, X3 form a basis for R³. y= (b) Find the coordinate vector [y] B of y in the basis B = (x1, x2, x3).arrow_forwardLet A 1 - 13 (1³ ³) 3). (i) Compute A2, A3, A4. (ii) Show that A is invertible and find A-¹.arrow_forward
- Let H = {(a a12 a21 a22, | a1 + a2 = 0} . € R²x²: a11 + a22 (i) Show that H is a subspace of R2×2 (ii) Find a basis of H and determine dim H.arrow_forward2 5 A=1 2 -2 b=2 3 1 -1 3 (a) Calculate det(A). (b) Using (a), deduce that the system Ax = b where x = (x1, x2, x3) is consistent and determine x2 using Cramer's rule.arrow_forwardConsider the least squares problem Ax = b, where 12 -09-0 A 1 3 1 4 and b = (a) Write down the corresponding normal equations. (b) Determine the set of least squares solutions to the problem.arrow_forward
- The function f(x) is represented by the equation, f(x) = x³ + 8x² + x − 42. Part A: Does f(x) have zeros located at -7, 2, -3? Explain without using technology and show all work. Part B: Describe the end behavior of f(x) without using technology.arrow_forwardHow does the graph of f(x) = (x − 9)4 – 3 compare to the parent function g(x) = x²?arrow_forwardFind the x-intercepts and the y-intercept of the graph of f(x) = (x − 5)(x − 2)(x − 1) without using technology. Show all work.arrow_forward
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