Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 6.6, Problem 17PPS
(a)
To determine
To write: the matrix to recognize the given data
(a)
Expert Solution
Answer to Problem 17PPS
The matrix to recognize the given data is
Explanation of Solution
Given:
| State | Land Area | People per Square Mile |
| Ohio | 40968 | 277.3 |
| Florida | 53926 | 296.4 |
| New York | 47213 | 401.9 |
| North Carolina | 48710 | 165.2 |
Calculation:
Following is the matrix which organize the given data. In the following matrix first row shows the land area and people per square mile of Ohio, second row shows the land area and people per square mile of Florida, third row shows the land area and people per square mile of New York, fourth row shows the land area and people per square mile of North Carolina while first column shows the land area per square mile and second column shows the people per square mile
Conclusion:
Therefore, the matrix to recognize the given data is
(b)
To determine
the dimensions of the matrix.
(b)
Expert Solution
Answer to Problem 17PPS
Matrix has 4 rows and 2 columns. Therefore, it is a
Explanation of Solution
Calculation:
Matrix has 4 rows and 2 columns. Therefore, it is a
Conclusion:
Therefore, Matrix has 4 rows and 2 columns. Therefore, it is a
(c)
To determine
To state: the most people per square mile.
(c)
Expert Solution
Answer to Problem 17PPS
North Carolina has the fewest people per square mile and New York has the most people per square mile.
Explanation of Solution
Calculation:
It is clear that the
Conclusion:
Therefore, North Carolina has the fewest people per square mile and New York has the most people per square mile.
Chapter 6 Solutions
Algebra 1
Ch. 6.1 - Prob. 1ACYPCh. 6.1 - Prob. 1BCYPCh. 6.1 - Prob. 2ACYPCh. 6.1 - Prob. 2BCYPCh. 6.1 - Prob. 3CYPCh. 6.1 - Prob. 1CYUCh. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYU
Ch. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33PPSCh. 6.1 - Prob. 34PPSCh. 6.1 - Prob. 35PPSCh. 6.1 - Prob. 36PPSCh. 6.1 - Prob. 37PPSCh. 6.1 - Prob. 38PPSCh. 6.1 - Prob. 39PPSCh. 6.1 - Prob. 40PPSCh. 6.1 - Prob. 41PPSCh. 6.1 - Prob. 42PPSCh. 6.1 - Prob. 43PPSCh. 6.1 - Prob. 44PPSCh. 6.1 - Prob. 45PPSCh. 6.1 - Prob. 46PPSCh. 6.1 - Prob. 47HPCh. 6.1 - Prob. 48HPCh. 6.1 - Prob. 49HPCh. 6.1 - Prob. 50HPCh. 6.1 - Prob. 51HPCh. 6.1 - Prob. 52HPCh. 6.1 - Prob. 53STPCh. 6.1 - Prob. 54STPCh. 6.1 - Prob. 55STPCh. 6.1 - Prob. 56STPCh. 6.1 - Prob. 57SRCh. 6.1 - Prob. 58SRCh. 6.1 - Prob. 59SRCh. 6.1 - Prob. 60SRCh. 6.1 - Prob. 61SRCh. 6.1 - Prob. 62SRCh. 6.1 - Prob. 63SRCh. 6.1 - Prob. 64SRCh. 6.1 - Prob. 65SRCh. 6.1 - Prob. 66SRCh. 6.1 - Prob. 67SRCh. 6.1 - Prob. 68SRCh. 6.1 - Prob. 69SCh. 6.1 - Prob. 70SCh. 6.1 - Prob. 71SCh. 6.1 - Prob. 72SCh. 6.1 - Prob. 73SCh. 6.1 - Prob. 74SCh. 6.1 - Prob. 75SCh. 6.1 - Prob. 76SCh. 6.2 - Prob. 1ACYPCh. 6.2 - Prob. 1BCYPCh. 6.2 - Prob. 2ACYPCh. 6.2 - Prob. 2BCYPCh. 6.2 - Prob. 3ACYPCh. 6.2 - Prob. 3BCYPCh. 6.2 - Prob. 4CYPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8PPSCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - Prob. 21PPSCh. 6.2 - Prob. 22PPSCh. 6.2 - Prob. 23PPSCh. 6.2 - Prob. 24PPSCh. 6.2 - Prob. 25PPSCh. 6.2 - Prob. 26PPSCh. 6.2 - Prob. 27HPCh. 6.2 - Prob. 28HPCh. 6.2 - Prob. 29HPCh. 6.2 - Prob. 30HPCh. 6.2 - Prob. 31HPCh. 6.2 - Prob. 32STPCh. 6.2 - Prob. 33STPCh. 6.2 - Prob. 34STPCh. 6.2 - Prob. 35STPCh. 6.2 - Prob. 36SRCh. 6.2 - Prob. 37SRCh. 6.2 - Prob. 38SRCh. 6.2 - Prob. 39SRCh. 6.2 - Prob. 40SRCh. 6.2 - Prob. 41SRCh. 6.2 - Prob. 42SRCh. 6.2 - Prob. 43SRCh. 6.2 - Prob. 44SRCh. 6.2 - Prob. 45SRCh. 6.2 - Prob. 46SRCh. 6.2 - Prob. 47SCh. 6.2 - Prob. 48SCh. 6.2 - Prob. 49SCh. 6.2 - Prob. 50SCh. 6.3 - Prob. 1ACYPCh. 6.3 - Prob. 1BCYPCh. 6.3 - Prob. 2CYPCh. 6.3 - Prob. 3CYPCh. 6.3 - Prob. 4CYPCh. 6.3 - Prob. 1CYUCh. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - Prob. 4CYUCh. 6.3 - Prob. 5CYUCh. 6.3 - Prob. 6CYUCh. 6.3 - Prob. 7PPSCh. 6.3 - Prob. 8PPSCh. 6.3 - Prob. 9PPSCh. 6.3 - Prob. 10PPSCh. 6.3 - Prob. 11PPSCh. 6.3 - Prob. 12PPSCh. 6.3 - Prob. 13PPSCh. 6.3 - Prob. 14PPSCh. 6.3 - Prob. 15PPSCh. 6.3 - Prob. 16PPSCh. 6.3 - Prob. 17PPSCh. 6.3 - Prob. 18PPSCh. 6.3 - Prob. 19PPSCh. 6.3 - Prob. 20PPSCh. 6.3 - Prob. 21PPSCh. 6.3 - Prob. 22PPSCh. 6.3 - Prob. 23PPSCh. 6.3 - Prob. 24PPSCh. 6.3 - Prob. 25PPSCh. 6.3 - Prob. 26PPSCh. 6.3 - Prob. 27PPSCh. 6.3 - Prob. 28PPSCh. 6.3 - Prob. 29PPSCh. 6.3 - Prob. 30PPSCh. 6.3 - Prob. 31PPSCh. 6.3 - Prob. 32PPSCh. 6.3 - Prob. 33PPSCh. 6.3 - Prob. 34HPCh. 6.3 - Prob. 35HPCh. 6.3 - Prob. 36HPCh. 6.3 - Prob. 37HPCh. 6.3 - Prob. 38HPCh. 6.3 - Prob. 39HPCh. 6.3 - Prob. 40STPCh. 6.3 - Prob. 41STPCh. 6.3 - Prob. 42STPCh. 6.3 - Prob. 43STPCh. 6.3 - Prob. 44SRCh. 6.3 - Prob. 45SRCh. 6.3 - Prob. 46SRCh. 6.3 - Prob. 47SRCh. 6.3 - Prob. 48SRCh. 6.3 - Prob. 49SRCh. 6.3 - Prob. 50SRCh. 6.3 - Prob. 51SRCh. 6.3 - Prob. 52SRCh. 6.3 - Prob. 53SRCh. 6.3 - Prob. 54SRCh. 6.3 - Prob. 55SRCh. 6.3 - Prob. 56SCh. 6.3 - Prob. 57SCh. 6.3 - Prob. 58SCh. 6.3 - Prob. 59SCh. 6.4 - Prob. 1ACYPCh. 6.4 - Prob. 1BCYPCh. 6.4 - Prob. 2ACYPCh. 6.4 - Prob. 2BCYPCh. 6.4 - Prob. 3CYPCh. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4CYUCh. 6.4 - Prob. 5CYUCh. 6.4 - Prob. 6CYUCh. 6.4 - Prob. 7PPSCh. 6.4 - Prob. 8PPSCh. 6.4 - Prob. 9PPSCh. 6.4 - Prob. 10PPSCh. 6.4 - Prob. 11PPSCh. 6.4 - Prob. 12PPSCh. 6.4 - Prob. 13PPSCh. 6.4 - Prob. 14PPSCh. 6.4 - Prob. 15PPSCh. 6.4 - Prob. 16PPSCh. 6.4 - Prob. 17PPSCh. 6.4 - Prob. 18PPSCh. 6.4 - Prob. 19PPSCh. 6.4 - Prob. 20PPSCh. 6.4 - Prob. 21PPSCh. 6.4 - Prob. 22PPSCh. 6.4 - Prob. 23PPSCh. 6.4 - Prob. 24PPSCh. 6.4 - Prob. 25PPSCh. 6.4 - Prob. 26PPSCh. 6.4 - Prob. 27PPSCh. 6.4 - Prob. 28PPSCh. 6.4 - Prob. 29HPCh. 6.4 - Prob. 30HPCh. 6.4 - Prob. 31HPCh. 6.4 - Prob. 32HPCh. 6.4 - Prob. 33HPCh. 6.4 - Prob. 34STPCh. 6.4 - Prob. 35STPCh. 6.4 - Prob. 36STPCh. 6.4 - Prob. 37STPCh. 6.4 - Prob. 38SRCh. 6.4 - Prob. 39SRCh. 6.4 - Prob. 40SRCh. 6.4 - Prob. 41SRCh. 6.4 - Prob. 42SRCh. 6.4 - Prob. 43SRCh. 6.4 - Prob. 44SRCh. 6.4 - Prob. 45SRCh. 6.4 - Prob. 46SRCh. 6.4 - Prob. 47SRCh. 6.4 - Prob. 48SRCh. 6.4 - Prob. 49SCh. 6.4 - Prob. 50SCh. 6.4 - Prob. 51SCh. 6.4 - Prob. 52SCh. 6.4 - Prob. 53SCh. 6.4 - Prob. 54SCh. 6.5 - Prob. 1ACYPCh. 6.5 - Prob. 1BCYPCh. 6.5 - Prob. 1CCYPCh. 6.5 - Prob. 1DCYPCh. 6.5 - Prob. 2CYPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6PPSCh. 6.5 - Prob. 7PPSCh. 6.5 - Prob. 8PPSCh. 6.5 - Prob. 9PPSCh. 6.5 - Prob. 10PPSCh. 6.5 - Prob. 11PPSCh. 6.5 - Prob. 12PPSCh. 6.5 - Prob. 13PPSCh. 6.5 - Prob. 14PPSCh. 6.5 - Prob. 15PPSCh. 6.5 - Prob. 16PPSCh. 6.5 - Prob. 17PPSCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21HPCh. 6.5 - Prob. 22HPCh. 6.5 - Prob. 23HPCh. 6.5 - Prob. 24HPCh. 6.5 - Prob. 25HPCh. 6.5 - Prob. 26HPCh. 6.5 - Prob. 27STPCh. 6.5 - Prob. 28STPCh. 6.5 - Prob. 29STPCh. 6.5 - Prob. 30STPCh. 6.5 - Prob. 31SRCh. 6.5 - Prob. 32SRCh. 6.5 - Prob. 33SRCh. 6.5 - Prob. 34SRCh. 6.5 - Prob. 35SRCh. 6.5 - Prob. 36SRCh. 6.5 - Prob. 37SRCh. 6.5 - Prob. 38SRCh. 6.5 - Prob. 39SCh. 6.5 - Prob. 40SCh. 6.5 - Prob. 41SCh. 6.5 - Prob. 42SCh. 6.5 - Prob. 43SCh. 6.5 - Prob. 44SCh. 6.6 - Prob. 1ACYPCh. 6.6 - Prob. 1BCYPCh. 6.6 - Prob. 3ACYPCh. 6.6 - Prob. 3BCYPCh. 6.6 - Prob. 4ACYPCh. 6.6 - Prob. 4BCYPCh. 6.6 - Prob. 5ACYPCh. 6.6 - Prob. 5BCYPCh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4CYUCh. 6.6 - Prob. 5CYUCh. 6.6 - Prob. 6CYUCh. 6.6 - Prob. 7CYUCh. 6.6 - Prob. 8CYUCh. 6.6 - Prob. 9CYUCh. 6.6 - Prob. 10PPSCh. 6.6 - Prob. 11PPSCh. 6.6 - Prob. 12PPSCh. 6.6 - Prob. 13PPSCh. 6.6 - Prob. 14PPSCh. 6.6 - Prob. 15PPSCh. 6.6 - Prob. 16PPSCh. 6.6 - Prob. 17PPSCh. 6.6 - Prob. 18PPSCh. 6.6 - Prob. 19PPSCh. 6.6 - Prob. 20PPSCh. 6.6 - Prob. 21PPSCh. 6.6 - Prob. 22PPSCh. 6.6 - Prob. 23PPSCh. 6.6 - Prob. 24PPSCh. 6.6 - Prob. 26PPSCh. 6.6 - Prob. 27PPSCh. 6.6 - Prob. 28PPSCh. 6.6 - Prob. 29PPSCh. 6.6 - Prob. 30PPSCh. 6.6 - Prob. 31PPSCh. 6.6 - Prob. 32PPSCh. 6.6 - Prob. 33HPCh. 6.6 - Prob. 34HPCh. 6.6 - Prob. 35HPCh. 6.6 - Prob. 36HPCh. 6.6 - Prob. 37HPCh. 6.6 - Prob. 38HPCh. 6.6 - Prob. 39STPCh. 6.6 - Prob. 40STPCh. 6.6 - Prob. 41STPCh. 6.6 - Prob. 43SRCh. 6.6 - Prob. 44SRCh. 6.6 - Prob. 45SRCh. 6.6 - Prob. 46SRCh. 6.6 - Prob. 47SRCh. 6.6 - Prob. 48SRCh. 6.6 - Prob. 49SRCh. 6.6 - Prob. 50SRCh. 6.6 - Prob. 51SRCh. 6.6 - Prob. 52SCh. 6.6 - Prob. 53SCh. 6.6 - Prob. 54SCh. 6.6 - Prob. 55SCh. 6.6 - Prob. 56SCh. 6.6 - Prob. 57SCh. 6.6 - Prob. 2CYPCh. 6.6 - Prob. 25PPSCh. 6.6 - Prob. 42STPCh. 6.7 - Prob. 1ACYPCh. 6.7 - Prob. 1BCYPCh. 6.7 - Prob. 2ACYPCh. 6.7 - Prob. 2BCYPCh. 6.7 - Prob. 1CYUCh. 6.7 - Prob. 2CYUCh. 6.7 - Prob. 3CYUCh. 6.7 - Prob. 4CYUCh. 6.7 - Prob. 5CYUCh. 6.7 - Prob. 6CYUCh. 6.7 - Prob. 7CYUCh. 6.7 - Prob. 8CYUCh. 6.7 - Prob. 9CYUCh. 6.7 - Prob. 10CYUCh. 6.7 - Prob. 11CYUCh. 6.7 - Prob. 12PPSCh. 6.7 - Prob. 13PPSCh. 6.7 - Prob. 14PPSCh. 6.7 - Prob. 15PPSCh. 6.7 - Prob. 16PPSCh. 6.7 - Prob. 17PPSCh. 6.7 - Prob. 18PPSCh. 6.7 - Prob. 19PPSCh. 6.7 - Prob. 20PPSCh. 6.7 - Prob. 21PPSCh. 6.7 - Prob. 22PPSCh. 6.7 - Prob. 23PPSCh. 6.7 - Prob. 24PPSCh. 6.7 - Prob. 25PPSCh. 6.7 - Prob. 26PPSCh. 6.7 - Prob. 27PPSCh. 6.7 - Prob. 28PPSCh. 6.7 - Prob. 29PPSCh. 6.7 - Prob. 30PPSCh. 6.7 - Prob. 31PPSCh. 6.7 - Prob. 32PPSCh. 6.7 - Prob. 33PPSCh. 6.7 - Prob. 34PPSCh. 6.7 - Prob. 35PPSCh. 6.7 - Prob. 36PPSCh. 6.7 - Prob. 37PPSCh. 6.7 - Prob. 38PPSCh. 6.7 - Prob. 39PPSCh. 6.7 - Prob. 40PPSCh. 6.7 - Prob. 41PPSCh. 6.7 - Prob. 42PPSCh. 6.7 - Prob. 43PPSCh. 6.7 - Prob. 44PPSCh. 6.7 - Prob. 45PPSCh. 6.7 - Prob. 47HPCh. 6.7 - Prob. 49HPCh. 6.7 - Prob. 50HPCh. 6.7 - Prob. 52STPCh. 6.7 - Prob. 53STPCh. 6.7 - Prob. 54STPCh. 6.7 - Prob. 55STPCh. 6.7 - Prob. 56SRCh. 6.7 - Prob. 57SRCh. 6.7 - Prob. 58SRCh. 6.7 - Prob. 59SRCh. 6.7 - Prob. 60SRCh. 6.7 - Prob. 62SRCh. 6.7 - Prob. 63SRCh. 6.7 - Prob. 64SRCh. 6.7 - Prob. 65SRCh. 6.7 - Prob. 66SRCh. 6.7 - Prob. 67SRCh. 6.7 - Prob. 68SCh. 6.7 - Prob. 69SCh. 6.7 - Prob. 70SCh. 6.7 - Prob. 71SCh. 6.7 - Prob. 72SCh. 6.7 - Prob. 73SCh. 6.7 - Prob. 3CYPCh. 6.7 - Prob. 48HPCh. 6.7 - Prob. 51HPCh. 6.7 - Prob. 61SRCh. 6.8 - Prob. 3BCYPCh. 6.8 - Prob. 3CYUCh. 6.8 - Prob. 7CYUCh. 6.8 - Prob. 8CYUCh. 6.8 - Prob. 9CYUCh. 6.8 - Prob. 10PPSCh. 6.8 - Prob. 11PPSCh. 6.8 - Prob. 12PPSCh. 6.8 - Prob. 13PPSCh. 6.8 - Prob. 14PPSCh. 6.8 - Prob. 15PPSCh. 6.8 - Prob. 16PPSCh. 6.8 - Prob. 17PPSCh. 6.8 - Prob. 18PPSCh. 6.8 - Prob. 19PPSCh. 6.8 - Prob. 20PPSCh. 6.8 - Prob. 21PPSCh. 6.8 - Prob. 22PPSCh. 6.8 - Prob. 23PPSCh. 6.8 - Prob. 24PPSCh. 6.8 - Prob. 25PPSCh. 6.8 - Prob. 26PPSCh. 6.8 - Prob. 27PPSCh. 6.8 - Prob. 28PPSCh. 6.8 - Prob. 29PPSCh. 6.8 - Prob. 30PPSCh. 6.8 - Prob. 31PPSCh. 6.8 - Prob. 32PPSCh. 6.8 - Prob. 33PPSCh. 6.8 - Prob. 34PPSCh. 6.8 - Prob. 35PPSCh. 6.8 - Prob. 36PPSCh. 6.8 - Prob. 37PPSCh. 6.8 - Prob. 38HPCh. 6.8 - Prob. 39HPCh. 6.8 - Prob. 40HPCh. 6.8 - Prob. 41HPCh. 6.8 - Prob. 42HPCh. 6.8 - Prob. 43HPCh. 6.8 - Prob. 44STPCh. 6.8 - Prob. 45STPCh. 6.8 - Prob. 46STPCh. 6.8 - Prob. 47STPCh. 6.8 - Prob. 48SRCh. 6.8 - Prob. 49SRCh. 6.8 - Prob. 50SRCh. 6.8 - Prob. 51SRCh. 6.8 - Prob. 52SRCh. 6.8 - Prob. 53SRCh. 6.8 - Prob. 54SRCh. 6.8 - Prob. 55SRCh. 6.8 - 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Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 55SGRCh. 6 - Prob. 71SGRCh. 6 - Prob. 7PTCh. 6 - Prob. 8STPCh. 6 - Prob. 15STP
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- Q1\ Let X be a topological space and let Int be the interior operation defined on P(X) such that 1₁.Int(X) = X 12. Int (A) CA for each A = P(X) 13. Int (int (A) = Int (A) for each A = P(X) 14. Int (An B) = Int(A) n Int (B) for each A, B = P(X) 15. A is open iff Int (A) = A Show that there exist a unique topology T on X. Q2\ Let X be a topological space and suppose that a nbhd base has been fixed at each x E X and A SCX show that A open iff A contains a basic nbdh of each its point Q3\ Let X be a topological space and and A CX show that A closed set iff every limit point of A is in A. A'S A ACA Q4\ If ẞ is a collection of open sets in X show that ẞ is a base for a topology on X iff for each x E X then ẞx = {BE B|x E B} is a nbhd base at x. Q5\ If A subspace of a topological space X, if x Є A show that V is nbhd of x in A iff V = Un A where U is nbdh of x in X.arrow_forward+ Theorem: Let be a function from a topological space (X,T) on to a non-empty set y then is a quotient map iff vesy if f(B) is closed in X then & is >Y. ie Bclosed in bp closed in the quotient topology induced by f iff (B) is closed in x- التاريخ Acy الموضوع : Theorem:- IP & and I are topological space and fix sy is continuous او function and either open or closed then the topology Cony is the quatient topology p proof: Theorem: Lety have the quotient topology induced by map f of X onto y. The-x: then an arbirary map g:y 7 is continuous 7. iff gof: x > z is "g of continuous Continuous function farrow_forwardFor the problem below, what are the possible solutions for x? Select all that apply. 2 x²+8x +11 = 0 x2+8x+16 = (x+4)² = 5 1116arrow_forward
- For the problem below, what are the possible solutions for x? Select all that apply. x² + 12x - 62 = 0 x² + 12x + 36 = 62 + 36 (x+6)² = 98arrow_forwardSelect the polynomials below that can be solved using Completing the Square as written. 6m² +12m 8 = 0 Oh²-22x 7 x²+4x-10= 0 x² + 11x 11x 4 = 0arrow_forwardProve that the usual toplogy is firast countble or hot and second countble. ①let cofinte toplogy onx show that Sivast countble or hot and second firast. 3) let (x,d) be matricspace show that is first and second countble. 6 Show that Indiscret toplogy is firstand Second op countble or not.arrow_forward
- a) Find the scalars p, q, r, s, k1, and k2. b) Is there a different linearly independent eigenvector associated to either k1 or k2? If yes,find it. If no, briefly explain.arrow_forwardThis box plot represents the score out of 90 received by students on a driver's education exam. 75% of the students passed the exam. What is the minimum score needed to pass the exam? Submitting x and Whickers Graph Low 62, C 62 66 70 74 78 82 86 90 Driver's education exam score (out of 90)arrow_forwardHow many different rectangles can be made whose side lengths, in centimeters, are counting numbers and whose are is 1,159 square centimeters? Draw and label all possible rectangles.arrow_forward
- Co Given show that Solution Take home Су-15 1994 +19 09/2 4 =a log суто - 1092 ж = a-1 2+1+8 AI | SHOT ON S4 INFINIX CAMERAarrow_forwarda Question 7. If det d e f ghi V3 = 2. Find det -1 2 Question 8. Let A = 1 4 5 0 3 2. 1 Find adj (A) 2 Find det (A) 3 Find A-1 2g 2h 2i -e-f -d 273 2a 2b 2carrow_forwardQuestion 1. Solve the system - x1 x2 + 3x3 + 2x4 -x1 + x22x3 + x4 2x12x2+7x3+7x4 Question 2. Consider the system = 1 =-2 = 1 3x1 - x2 + ax3 = 1 x1 + 3x2 + 2x3 x12x2+2x3 = -b = 4 1 For what values of a, b will the system be inconsistent? 2 For what values of a, b will the system have only one solution? For what values of a, b will the saystem have infinitely many solutions?arrow_forward
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