Beginning and Intermediate Algebra
6th Edition
ISBN: 9781260673531
Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy
Publisher: McGraw-Hill Education
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Question
Chapter 15.8, Problem 49PE
i.
To determine
To calculate: The probability that the selected firefighter is a female. The firefighters in one country in the United States consist of 600 members: 120 women and 480 men.
Over a 5-year period, 160 firefighters were promoted. The table shows the breakdown of promotions for male and female firefighter.
ii.
To determine
To calculate: The probability that the selected firefighter was promoted.
iii.
To determine
To calculate: The probability that the selected firefighter is a male or was not promoted.
iv.
To determine
To calculate: The probability that the selected firefighter was promoted, given that he is male.
v.
To determine
To calculate: The probability that the selected firefighter was promoted, given that she is female.
vi.
To determine
To state: The meaning of differences in the resulted probabilities of part (d) and (e).
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Chapter 15 Solutions
Beginning and Intermediate Algebra
Ch. 15.1 - Prob. 1SPCh. 15.1 - Prob. 2SPCh. 15.1 - Prob. 3SPCh. 15.1 - Prob. 4SPCh. 15.1 - Prob. 5SPCh. 15.1 - Prob. 6SPCh. 15.1 - Prob. 7SPCh. 15.1 - Prob. 8SPCh. 15.1 - Prob. 9SPCh. 15.1 - Prob. 1PE
Ch. 15.1 - Prob. 2PECh. 15.1 - Prob. 3PECh. 15.1 - Prob. 4PECh. 15.1 - Prob. 5PECh. 15.1 - Prob. 6PECh. 15.1 - Prob. 7PECh. 15.1 - Prob. 8PECh. 15.1 - Prob. 9PECh. 15.1 - Prob. 10PECh. 15.1 - Prob. 11PECh. 15.1 - Prob. 12PECh. 15.1 - Prob. 13PECh. 15.1 - Prob. 14PECh. 15.1 - Prob. 15PECh. 15.1 - Prob. 16PECh. 15.1 - Prob. 17PECh. 15.1 - Prob. 18PECh. 15.1 - Prob. 19PECh. 15.1 - Prob. 20PECh. 15.1 - Prob. 21PECh. 15.1 - Prob. 22PECh. 15.1 - Prob. 23PECh. 15.1 - Prob. 24PECh. 15.1 - Prob. 25PECh. 15.1 - Prob. 26PECh. 15.1 - Prob. 27PECh. 15.1 - Prob. 28PECh. 15.1 - Prob. 29PECh. 15.1 - Prob. 30PECh. 15.1 - Prob. 31PECh. 15.1 - Prob. 32PECh. 15.1 - Prob. 33PECh. 15.1 - Prob. 34PECh. 15.1 - Prob. 35PECh. 15.1 - Prob. 36PECh. 15.1 - Prob. 37PECh. 15.1 - Prob. 38PECh. 15.1 - Prob. 39PECh. 15.1 - Prob. 40PECh. 15.1 - Prob. 41PECh. 15.1 - Prob. 42PECh. 15.1 - Prob. 43PECh. 15.1 - Prob. 44PECh. 15.1 - Prob. 45PECh. 15.1 - Prob. 46PECh. 15.1 - Prob. 47PECh. 15.1 - Prob. 48PECh. 15.1 - Prob. 49PECh. 15.2 - Prob. 1SPCh. 15.2 - Prob. 2SPCh. 15.2 - Prob. 3SPCh. 15.2 - Prob. 4SPCh. 15.2 - Prob. 5SPCh. 15.2 - Prob. 6SPCh. 15.2 - Prob. 7SPCh. 15.2 - Prob. 8SPCh. 15.2 - Prob. 9SPCh. 15.2 - Prob. 10SPCh. 15.2 - Prob. 11SPCh. 15.2 - Prob. 12SPCh. 15.2 - Prob. 13SPCh. 15.2 - Prob. 14SPCh. 15.2 - Prob. 1PECh. 15.2 - Prob. 2PECh. 15.2 - Prob. 3PECh. 15.2 - Prob. 4PECh. 15.2 - Prob. 5PECh. 15.2 - Prob. 6PECh. 15.2 - Prob. 7PECh. 15.2 - Prob. 8PECh. 15.2 - Prob. 9PECh. 15.2 - Prob. 10PECh. 15.2 - Prob. 11PECh. 15.2 - Prob. 12PECh. 15.2 - Prob. 13PECh. 15.2 - Prob. 14PECh. 15.2 - Prob. 15PECh. 15.2 - Prob. 16PECh. 15.2 - Prob. 17PECh. 15.2 - Prob. 18PECh. 15.2 - Prob. 19PECh. 15.2 - Prob. 20PECh. 15.2 - Prob. 21PECh. 15.2 - Prob. 22PECh. 15.2 - Prob. 23PECh. 15.2 - Prob. 24PECh. 15.2 - Prob. 25PECh. 15.2 - Prob. 26PECh. 15.2 - Prob. 27PECh. 15.2 - Prob. 28PECh. 15.2 - Prob. 29PECh. 15.2 - Prob. 30PECh. 15.2 - Prob. 31PECh. 15.2 - Prob. 32PECh. 15.2 - Prob. 33PECh. 15.2 - Prob. 34PECh. 15.2 - Prob. 35PECh. 15.2 - Prob. 36PECh. 15.2 - Prob. 37PECh. 15.2 - Prob. 38PECh. 15.2 - Prob. 39PECh. 15.2 - Prob. 40PECh. 15.2 - Prob. 41PECh. 15.2 - Prob. 42PECh. 15.2 - Prob. 43PECh. 15.2 - Prob. 44PECh. 15.2 - Prob. 45PECh. 15.2 - Prob. 46PECh. 15.2 - Prob. 47PECh. 15.2 - Prob. 48PECh. 15.2 - Prob. 49PECh. 15.2 - Prob. 50PECh. 15.2 - Prob. 51PECh. 15.2 - Prob. 52PECh. 15.2 - Prob. 53PECh. 15.2 - Prob. 54PECh. 15.2 - Prob. 55PECh. 15.2 - Prob. 56PECh. 15.2 - Prob. 57PECh. 15.2 - Prob. 58PECh. 15.2 - Prob. 59PECh. 15.2 - Prob. 60PECh. 15.2 - Prob. 61PECh. 15.2 - Prob. 62PECh. 15.2 - Prob. 63PECh. 15.2 - Prob. 64PECh. 15.2 - Prob. 65PECh. 15.2 - Prob. 66PECh. 15.2 - Prob. 67PECh. 15.2 - Prob. 68PECh. 15.2 - Prob. 69PECh. 15.2 - Prob. 70PECh. 15.2 - Prob. 71PECh. 15.2 - Prob. 72PECh. 15.2 - Prob. 73PECh. 15.2 - Prob. 74PECh. 15.2 - Prob. 75PECh. 15.2 - Prob. 76PECh. 15.2 - Prob. 77PECh. 15.2 - Prob. 78PECh. 15.2 - Prob. 79PECh. 15.2 - Prob. 80PECh. 15.2 - Prob. 81PECh. 15.2 - Prob. 82PECh. 15.2 - Prob. 83PECh. 15.2 - Prob. 84PECh. 15.2 - Prob. 85PECh. 15.2 - Prob. 86PECh. 15.2 - Prob. 87PECh. 15.2 - Prob. 88PECh. 15.2 - Prob. 89PECh. 15.2 - Prob. 90PECh. 15.2 - Prob. 91PECh. 15.2 - Prob. 92PECh. 15.2 - Prob. 93PECh. 15.2 - Prob. 94PECh. 15.2 - Prob. 95PECh. 15.2 - Prob. 96PECh. 15.2 - Prob. 97PECh. 15.2 - Prob. 98PECh. 15.2 - Prob. 99PECh. 15.2 - Prob. 100PECh. 15.2 - Prob. 101PECh. 15.2 - Prob. 102PECh. 15.2 - Prob. 103PECh. 15.2 - Prob. 104PECh. 15.2 - Prob. 105PECh. 15.2 - Prob. 106PECh. 15.3 - Prob. 1SPCh. 15.3 - Prob. 2SPCh. 15.3 - Prob. 3SPCh. 15.3 - Prob. 4SPCh. 15.3 - Prob. 5SPCh. 15.3 - Prob. 1PECh. 15.3 - Prob. 2PECh. 15.3 - Prob. 3PECh. 15.3 - Prob. 4PECh. 15.3 - Prob. 5PECh. 15.3 - Prob. 6PECh. 15.3 - Prob. 7PECh. 15.3 - Prob. 8PECh. 15.3 - Prob. 9PECh. 15.3 - Prob. 10PECh. 15.3 - Prob. 11PECh. 15.3 - Prob. 12PECh. 15.3 - Prob. 13PECh. 15.3 - Prob. 14PECh. 15.3 - Prob. 15PECh. 15.3 - Prob. 16PECh. 15.3 - Prob. 17PECh. 15.3 - Prob. 18PECh. 15.3 - Prob. 19PECh. 15.3 - Prob. 20PECh. 15.3 - Prob. 21PECh. 15.3 - Prob. 22PECh. 15.3 - Prob. 23PECh. 15.3 - Prob. 24PECh. 15.3 - Prob. 25PECh. 15.3 - Prob. 26PECh. 15.3 - Prob. 27PECh. 15.3 - Prob. 28PECh. 15.3 - Prob. 29PECh. 15.3 - Prob. 30PECh. 15.3 - Prob. 31PECh. 15.3 - Prob. 32PECh. 15.3 - Prob. 33PECh. 15.3 - Prob. 34PECh. 15.3 - Prob. 35PECh. 15.3 - Prob. 36PECh. 15.3 - Prob. 37PECh. 15.3 - Prob. 38PECh. 15.3 - Prob. 39PECh. 15.3 - Prob. 40PECh. 15.3 - Prob. 41PECh. 15.3 - Prob. 42PECh. 15.3 - Prob. 43PECh. 15.3 - Prob. 44PECh. 15.3 - Prob. 45PECh. 15.3 - Prob. 46PECh. 15.3 - Prob. 47PECh. 15.3 - Prob. 48PECh. 15.3 - Prob. 49PECh. 15.3 - Prob. 50PECh. 15.3 - Prob. 51PECh. 15.3 - Prob. 52PECh. 15.3 - Prob. 53PECh. 15.3 - Prob. 54PECh. 15.3 - Prob. 55PECh. 15.3 - Prob. 56PECh. 15.3 - Prob. 57PECh. 15.3 - Prob. 58PECh. 15.3 - Prob. 59PECh. 15.3 - Prob. 60PECh. 15.3 - Prob. 61PECh. 15.3 - Prob. 62PECh. 15.3 - Prob. 63PECh. 15.3 - Prob. 64PECh. 15.3 - Prob. 65PECh. 15.3 - Prob. 66PECh. 15.3 - Prob. 67PECh. 15.3 - Prob. 68PECh. 15.4 - Prob. 1SPCh. 15.4 - Prob. 2SPCh. 15.4 - Prob. 3SPCh. 15.4 - Prob. 4SPCh. 15.4 - Prob. 5SPCh. 15.4 - Prob. 6SPCh. 15.4 - Prob. 7SPCh. 15.4 - Prob. 8SPCh. 15.4 - Prob. 9SPCh. 15.4 - Prob. 10SPCh. 15.4 - Prob. 11SPCh. 15.4 - Prob. 12SPCh. 15.4 - Prob. 13SPCh. 15.4 - Prob. 1PECh. 15.4 - Prob. 2PECh. 15.4 - Prob. 3PECh. 15.4 - Prob. 4PECh. 15.4 - Prob. 5PECh. 15.4 - Prob. 6PECh. 15.4 - Prob. 7PECh. 15.4 - Prob. 8PECh. 15.4 - Prob. 9PECh. 15.4 - Prob. 10PECh. 15.4 - Prob. 11PECh. 15.4 - Prob. 12PECh. 15.4 - Prob. 13PECh. 15.4 - Prob. 14PECh. 15.4 - Prob. 15PECh. 15.4 - Prob. 16PECh. 15.4 - Prob. 17PECh. 15.4 - Prob. 18PECh. 15.4 - Prob. 19PECh. 15.4 - Prob. 20PECh. 15.4 - Prob. 21PECh. 15.4 - Prob. 22PECh. 15.4 - Prob. 23PECh. 15.4 - Prob. 24PECh. 15.4 - Prob. 25PECh. 15.4 - Prob. 26PECh. 15.4 - Prob. 27PECh. 15.4 - Prob. 28PECh. 15.4 - Prob. 29PECh. 15.4 - Prob. 30PECh. 15.4 - Prob. 31PECh. 15.4 - Prob. 32PECh. 15.4 - Prob. 33PECh. 15.4 - Prob. 34PECh. 15.4 - Prob. 35PECh. 15.4 - Prob. 36PECh. 15.4 - Prob. 37PECh. 15.4 - Prob. 38PECh. 15.4 - Prob. 39PECh. 15.4 - Prob. 40PECh. 15.4 - Prob. 41PECh. 15.4 - Prob. 42PECh. 15.4 - Prob. 43PECh. 15.4 - Prob. 44PECh. 15.4 - Prob. 45PECh. 15.4 - Prob. 46PECh. 15.4 - Prob. 47PECh. 15.4 - Prob. 48PECh. 15.4 - Prob. 49PECh. 15.4 - Prob. 50PECh. 15.4 - Prob. 51PECh. 15.4 - Prob. 52PECh. 15.4 - Prob. 53PECh. 15.4 - Prob. 54PECh. 15.4 - Prob. 55PECh. 15.4 - Prob. 56PECh. 15.4 - Prob. 57PECh. 15.4 - Prob. 58PECh. 15.4 - Prob. 59PECh. 15.4 - Prob. 60PECh. 15.4 - Prob. 61PECh. 15.4 - Prob. 62PECh. 15.5 - Prob. 1SPCh. 15.5 - Prob. 2SPCh. 15.5 - Prob. 3SPCh. 15.5 - Prob. 4SPCh. 15.5 - Prob. 5SPCh. 15.5 - Prob. 6SPCh. 15.5 - Prob. 7SPCh. 15.5 - Prob. 8SPCh. 15.5 - Prob. 9SPCh. 15.5 - Prob. 1PECh. 15.5 - Prob. 2PECh. 15.5 - Prob. 3PECh. 15.5 - Prob. 4PECh. 15.5 - Prob. 5PECh. 15.5 - Prob. 6PECh. 15.5 - Prob. 7PECh. 15.5 - Prob. 8PECh. 15.5 - Prob. 9PECh. 15.5 - Prob. 10PECh. 15.5 - Prob. 11PECh. 15.5 - Prob. 12PECh. 15.5 - Prob. 13PECh. 15.5 - Prob. 14PECh. 15.5 - Prob. 15PECh. 15.5 - Prob. 16PECh. 15.5 - Prob. 17PECh. 15.5 - Prob. 18PECh. 15.5 - Prob. 19PECh. 15.5 - Prob. 20PECh. 15.5 - Prob. 21PECh. 15.5 - Prob. 22PECh. 15.5 - Prob. 23PECh. 15.5 - Prob. 24PECh. 15.5 - Prob. 25PECh. 15.5 - Prob. 26PECh. 15.5 - Prob. 27PECh. 15.5 - Prob. 28PECh. 15.5 - Prob. 29PECh. 15.5 - Prob. 30PECh. 15.5 - Prob. 31PECh. 15.5 - Prob. 32PECh. 15.5 - Prob. 33PECh. 15.5 - Prob. 34PECh. 15.5 - Prob. 35PECh. 15.5 - Prob. 36PECh. 15.5 - Prob. 37PECh. 15.5 - Prob. 38PECh. 15.5 - Prob. 39PECh. 15.5 - Prob. 40PECh. 15.5 - Prob. 41PECh. 15.5 - Prob. 42PECh. 15.5 - Prob. 43PECh. 15.5 - Prob. 44PECh. 15.5 - Prob. 45PECh. 15.5 - Prob. 46PECh. 15.5 - Prob. 47PECh. 15.5 - Prob. 48PECh. 15.5 - Prob. 49PECh. 15.5 - Prob. 50PECh. 15.5 - Prob. 51PECh. 15.5 - Prob. 52PECh. 15.5 - Prob. 53PECh. 15.5 - Prob. 54PECh. 15.5 - Prob. 55PECh. 15.5 - Prob. 56PECh. 15.5 - Prob. 57PECh. 15.5 - Prob. 58PECh. 15.5 - Prob. 59PECh. 15.5 - Prob. 60PECh. 15.5 - Prob. 61PECh. 15.5 - Prob. 62PECh. 15.5 - Prob. 63PECh. 15.5 - Prob. 64PECh. 15.5 - Prob. 65PECh. 15.5 - Prob. 66PECh. 15.5 - Prob. 67PECh. 15.5 - Prob. 68PECh. 15.5 - Prob. 69PECh. 15.5 - Prob. 70PECh. 15.5 - Prob. 71PECh. 15.5 - Prob. 72PECh. 15.6 - Prob. 1SPCh. 15.6 - Prob. 2SPCh. 15.6 - Prob. 3SPCh. 15.6 - Prob. 4SPCh. 15.6 - Prob. 5SPCh. 15.6 - Prob. 6SPCh. 15.6 - Prob. 7SPCh. 15.6 - Prob. 8SPCh. 15.6 - Prob. 9SPCh. 15.6 - Prob. 10SPCh. 15.6 - Prob. 11SPCh. 15.6 - Prob. 1PECh. 15.6 - Prob. 2PECh. 15.6 - Prob. 3PECh. 15.6 - Prob. 4PECh. 15.6 - Prob. 5PECh. 15.6 - Prob. 6PECh. 15.6 - Prob. 7PECh. 15.6 - Prob. 8PECh. 15.6 - Prob. 9PECh. 15.6 - Prob. 10PECh. 15.6 - Prob. 11PECh. 15.6 - Prob. 12PECh. 15.6 - Prob. 13PECh. 15.6 - Prob. 14PECh. 15.6 - Prob. 15PECh. 15.6 - Prob. 16PECh. 15.6 - Prob. 17PECh. 15.6 - Prob. 18PECh. 15.6 - Prob. 19PECh. 15.6 - Prob. 20PECh. 15.6 - Prob. 21PECh. 15.6 - Prob. 22PECh. 15.6 - Prob. 23PECh. 15.6 - Prob. 24PECh. 15.6 - Prob. 25PECh. 15.6 - Prob. 26PECh. 15.6 - Prob. 27PECh. 15.6 - Prob. 28PECh. 15.6 - Prob. 29PECh. 15.6 - Prob. 30PECh. 15.6 - Prob. 31PECh. 15.6 - Prob. 32PECh. 15.6 - Prob. 33PECh. 15.6 - Prob. 34PECh. 15.6 - Prob. 35PECh. 15.6 - Prob. 36PECh. 15.6 - Prob. 37PECh. 15.6 - Prob. 38PECh. 15.6 - Prob. 39PECh. 15.6 - Prob. 40PECh. 15.6 - Prob. 41PECh. 15.6 - Prob. 42PECh. 15.6 - Prob. 43PECh. 15.6 - Prob. 44PECh. 15.6 - Prob. 45PECh. 15.6 - Prob. 46PECh. 15.6 - Prob. 47PECh. 15.6 - Prob. 48PECh. 15.6 - Prob. 49PECh. 15.6 - Prob. 50PECh. 15.6 - Prob. 51PECh. 15.6 - Prob. 52PECh. 15.6 - Prob. 53PECh. 15.6 - Prob. 54PECh. 15.6 - Prob. 55PECh. 15.6 - Prob. 56PECh. 15.7 - Prob. 1SPCh. 15.7 - Prob. 2SPCh. 15.7 - Prob. 3SPCh. 15.7 - Prob. 4SPCh. 15.7 - Prob. 5SPCh. 15.7 - Prob. 6SPCh. 15.7 - Prob. 7SPCh. 15.7 - Prob. 1PECh. 15.7 - Prob. 2PECh. 15.7 - Prob. 3PECh. 15.7 - Prob. 4PECh. 15.7 - Prob. 5PECh. 15.7 - Prob. 6PECh. 15.7 - Prob. 7PECh. 15.7 - Prob. 8PECh. 15.7 - Prob. 9PECh. 15.7 - Prob. 10PECh. 15.7 - Prob. 11PECh. 15.7 - Prob. 12PECh. 15.7 - Prob. 13PECh. 15.7 - Prob. 14PECh. 15.7 - Prob. 15PECh. 15.7 - Prob. 16PECh. 15.7 - Prob. 17PECh. 15.7 - Prob. 18PECh. 15.7 - Prob. 19PECh. 15.7 - Prob. 20PECh. 15.7 - Prob. 21PECh. 15.7 - Prob. 22PECh. 15.7 - Prob. 23PECh. 15.7 - Prob. 24PECh. 15.7 - Prob. 25PECh. 15.7 - Prob. 26PECh. 15.7 - Prob. 27PECh. 15.7 - Prob. 28PECh. 15.7 - Prob. 29PECh. 15.7 - Prob. 30PECh. 15.7 - Prob. 31PECh. 15.7 - Prob. 32PECh. 15.7 - Prob. 33PECh. 15.7 - Prob. 34PECh. 15.7 - Prob. 35PECh. 15.7 - Prob. 36PECh. 15.7 - Prob. 37PECh. 15.7 - Prob. 38PECh. 15.7 - Prob. 39PECh. 15.7 - Prob. 40PECh. 15.7 - Prob. 41PECh. 15.7 - Prob. 42PECh. 15.7 - Prob. 43PECh. 15.7 - Prob. 44PECh. 15.7 - Prob. 45PECh. 15.7 - Prob. 46PECh. 15.7 - Prob. 47PECh. 15.7 - Prob. 48PECh. 15.7 - Prob. 49PECh. 15.7 - Prob. 50PECh. 15.7 - Prob. 51PECh. 15.7 - Prob. 52PECh. 15.7 - Prob. 53PECh. 15.7 - Prob. 54PECh. 15.7 - Prob. 55PECh. 15.7 - Prob. 56PECh. 15.7 - Prob. 57PECh. 15.7 - Prob. 58PECh. 15.7 - Prob. 59PECh. 15.7 - Prob. 60PECh. 15.7 - Prob. 61PECh. 15.7 - Prob. 62PECh. 15.7 - 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Prob. 33PECh. 15.8 - Prob. 34PECh. 15.8 - Prob. 35PECh. 15.8 - Prob. 36PECh. 15.8 - Prob. 37PECh. 15.8 - Prob. 38PECh. 15.8 - Prob. 39PECh. 15.8 - Prob. 40PECh. 15.8 - Prob. 41PECh. 15.8 - Prob. 42PECh. 15.8 - Prob. 43PECh. 15.8 - Prob. 44PECh. 15.8 - Prob. 45PECh. 15.8 - Prob. 46PECh. 15.8 - Prob. 47PECh. 15.8 - Prob. 48PECh. 15.8 - Prob. 49PECh. 15.9 - Prob. 1SPCh. 15.9 - Prob. 2SPCh. 15.9 - Prob. 3SPCh. 15.9 - Prob. 4SPCh. 15.9 - Prob. 1PECh. 15.9 - Prob. 2PECh. 15.9 - Prob. 3PECh. 15.9 - Prob. 4PECh. 15.9 - Prob. 5PECh. 15.9 - Prob. 6PECh. 15.9 - Prob. 7PECh. 15.9 - Prob. 8PECh. 15.9 - Prob. 9PECh. 15.9 - Prob. 10PECh. 15.9 - Prob. 11PECh. 15.9 - Prob. 12PECh. 15.9 - Prob. 13PECh. 15.9 - Prob. 14PECh. 15.9 - Prob. 15PECh. 15.9 - Prob. 16PECh. 15.9 - Prob. 17PECh. 15.9 - Prob. 18PECh. 15.9 - Prob. 19PECh. 15.9 - Prob. 20PECh. 15.9 - Prob. 21PECh. 15.9 - Prob. 22PECh. 15.9 - Prob. 23PECh. 15.9 - Prob. 24PECh. 15.9 - Prob. 25PECh. 15.9 - Prob. 26PECh. 15.9 - Prob. 27PECh. 15.9 - Prob. 28PECh. 15.9 - 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- 2. Assume that ƒ: R100 R² is linear and that for certain u, ER100 f(u) = - (4) and ƒ(v) = (2). Explicitly compute with work the following: (a). (b) (c) f(u+v) f(100) Assume that W is a vector space and g,h: W → R are both linear maps. Show that the function k : W→ R², k(w) = (()) is linear.arrow_forward6 5 4 3 T 2 له 1- 1 -10-9 -8 -7 -6 -4 -3 -2 -1 0 2 3 4 5 -1- -2 -3 -4 -5. -8 -9. Which system is represented in the graph? Oy > x²+4x-5 y>x+5 Oy x²+4x-5 yarrow_forwardThe functions f(x) = x² - 3 and g(x) = x² + 2 are shown on the graph. + N y 10 LO 5 f(x) = x² - 3 4 ♡ -3 -2 -10 -1 -2 -4- -5 x 2 3 4 56 7 8 9 g(x) = x² + 2 If the equations were changed to the inequalities shown, explain how the graph would change. y≤ x² - 3 y>-x²+2arrow_forwardThe function f(x) is shown in the graph. 2 1 y -1 0 1 2 3 4 5 -1- -3. f(x) -4 -5 -6. Which type of function describes f(x)? ○ Exponential O Logarithmic ○ Rational O Polynomial .co. 6 7arrow_forwardThe functions f(x) = –4x + 5 and g(x) = x3 + x2 – 4x + 5 are given.Part A: What type of functions are f(x) and g(x)? Justify your answer.Part B: Find the domain and range for f(x) and g(x). Then compare the domains and compare the ranges of the functions.arrow_forwarda) IS AU B is independence linear Show that A and B also independence linear or hot and why, write. Example. 6) 18 M., M2 X and dim(x)=n and dim M, dim M₂7 Show that Mi M₂+ {0} and why? c) let M Me X and {X.,... xr} is beas of M, and {y,, ., un} is beas of M₂ and {x, xr, Menyuzis beas of X Show that X = M₁ M2 d) 15 M₁ = {(x, y, z, w) | x+y=0, Z=2W} CR" M₂ = (X, Y, Z, W)/x+Y+Z=0}arrow_forwardThe function f(x) is shown on the graph. ာ 2 3 2 f(x) 1 0 -1 -2 1 -3 -4 -5 2 3 4t Which type of function describes f(x)? Exponential O Logarithmic O Polynomial ○ Rationalarrow_forward1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forwardMATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forward88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165arrow_forwardUse the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x for which f(x) = -2. If there is more than one value, separate them with commas or write your answer in interval notation, if necessary. Select "None", if applicable. Value(s) of x for which f(x)=-2: | (0,0) (0,0) (0,0) (0,0) 0,0... -00 None (h) Determine the range of f. The range is (0,0) Garrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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