Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
7th Edition
ISBN: 9780134462707
Author: Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson
Publisher: PEARSON
bartleby

Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
bartleby

Videos

Textbook Question
Book Icon
Chapter 6.5, Problem 76ES

Simplify.

1 − 1 y + 1 y 2 − 1 y 3 1 − 1 y 4

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 6.5, Problem 75ES
Next
Chapter 6.5, Problem 77ES

Chapter 6 Solutions

Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)

Ch. 6.1 - 1. Find all numbers for which the rational...Ch. 6.1 - Simplify: 15ab220b.Ch. 6.1 - 3. Simplify: Ch. 6.1 - 4. Simplify: Ch. 6.1 - Simplify: n2162n2+7n4.Ch. 6.1 - 6. Simplify: Ch. 6.1 - Simplify. 1. Ch. 6.1 - Simplify. 2. Ch. 6.1 - Simplify: (x+3)(x2)(x+3)(x1).Ch. 6.1 - Simplify: (y+4)(y7)(y4)(y+4).
Ch. 6.1 - Simplify. a21(a2)Ch. 6.1 - Choose the word written under the blank that best...Ch. 6.1 - Choose the word written under the blank that best...Ch. 6.1 - Choose the word written under the blank that best...Ch. 6.1 - Choose the word written under the blank that best...Ch. 6.1 - In each of Exercises 5-8, match the rational...Ch. 6.1 - In each of Exercises 5-8, match the rational...Ch. 6.1 - In each of Exercises 5-8, match the rational...Ch. 6.1 - In each of Exercises 5-8, match the rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - List all numbers for which each rational...Ch. 6.1 - Simplify. Show all steps. 50a2b40ab3Ch. 6.1 - Simplify. Show all steps. 24x4y36x7yCh. 6.1 - Simplify. Show all steps. 21. Ch. 6.1 - Simplify. Show all steps. 5n305n+5Ch. 6.1 - Simplify. Show all steps. 21t724t8Ch. 6.1 - Simplify. Show all steps. 10n+258n+20Ch. 6.1 - Simplify. Show all steps. a29a2+4a+3Ch. 6.1 - Simplify. Show all steps. a2+5a+6a29Ch. 6.1 - Prob. 27ESCh. 6.1 - Prob. 28ESCh. 6.1 - Prob. 29ESCh. 6.1 - Prob. 30ESCh. 6.1 - Prob. 31ESCh. 6.1 - Prob. 32ESCh. 6.1 - Prob. 33ESCh. 6.1 - Prob. 34ESCh. 6.1 - Prob. 35ESCh. 6.1 - Prob. 36ESCh. 6.1 - Prob. 37ESCh. 6.1 - Prob. 38ESCh. 6.1 - Prob. 39ESCh. 6.1 - Prob. 40ESCh. 6.1 - Prob. 41ESCh. 6.1 - Prob. 42ESCh. 6.1 - Prob. 43ESCh. 6.1 - Prob. 44ESCh. 6.1 - Prob. 45ESCh. 6.1 - Prob. 46ESCh. 6.1 - Prob. 47ESCh. 6.1 - Prob. 48ESCh. 6.1 - Prob. 49ESCh. 6.1 - Prob. 50ESCh. 6.1 - Prob. 51ESCh. 6.1 - Prob. 52ESCh. 6.1 - Simplify. 7t142tCh. 6.1 - Prob. 54ESCh. 6.1 - Prob. 55ESCh. 6.1 - Prob. 56ESCh. 6.1 - Prob. 57ESCh. 6.1 - Prob. 58ESCh. 6.1 - Prob. 59ESCh. 6.1 - Prob. 60ESCh. 6.1 - Prob. 61ESCh. 6.1 - Prob. 62ESCh. 6.1 - Prob. 63ESCh. 6.1 - Prob. 64ESCh. 6.1 - Prob. 65ESCh. 6.1 - Prob. 66ESCh. 6.1 - Prob. 67ESCh. 6.1 - Prob. 68ESCh. 6.1 - Prob. 69ESCh. 6.1 - Prob. 70ESCh. 6.1 - Prob. 71ESCh. 6.1 - Prob. 72ESCh. 6.1 - Prob. 73ESCh. 6.1 - Prob. 74ESCh. 6.1 - Prob. 75ESCh. 6.1 - Prob. 76ESCh. 6.1 - Prob. 77ESCh. 6.1 - Prob. 78ESCh. 6.1 - Prob. 79ESCh. 6.1 - Prob. 80ESCh. 6.1 - Prob. 81ESCh. 6.1 - Simplify. [1.7] 1. Ch. 6.1 - Simplify. [1.7] 2. Ch. 6.1 - Simplify. [1.7] 5816Ch. 6.1 - Simplify. [1.7] 4. Ch. 6.2 - 1. Multiply and, if possible, simplify: Ch. 6.2 - 2. Divide: Ch. 6.2 - 3. Divide and, if possible, simplify: Ch. 6.2 - Simplify: 6x254x27x+12. [6.1]Ch. 6.2 - Perform the indicated operation and, if possible,...Ch. 6.2 - Perform the indicated operation and, if possible,...Ch. 6.2 - Perform the indicated operation and, if possible,...Ch. 6.2 - Perform the indicated operation and, if possible,...Ch. 6.2 - Simplify. 78+56. [1.3]Ch. 6.2 - Simplify. 715310. [1.3]Ch. 6.2 - Simplify. 3. . [4.4] Ch. 6.2 - Simplify. 4. . [4.4] Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - Choose from the following list the correct ending...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - In each of Exercises 5-10, match the product or...Ch. 6.2 - Multiply. Leave each answer in factored form. 11....Ch. 6.2 - Multiply. Leave each answer in factored form....Ch. 6.2 - Multiply. Leave each answer in factored form....Ch. 6.2 - Prob. 14ESCh. 6.2 - Prob. 15ESCh. 6.2 - Prob. 16ESCh. 6.2 - Prob. 17ESCh. 6.2 - Prob. 18ESCh. 6.2 - Prob. 19ESCh. 6.2 - Prob. 20ESCh. 6.2 - Prob. 21ESCh. 6.2 - Prob. 22ESCh. 6.2 - Prob. 23ESCh. 6.2 - Prob. 24ESCh. 6.2 - Prob. 25ESCh. 6.2 - Prob. 26ESCh. 6.2 - Prob. 27ESCh. 6.2 - Prob. 28ESCh. 6.2 - Prob. 29ESCh. 6.2 - Multiply and, if possible, simplify. Leave any...Ch. 6.2 - Prob. 31ESCh. 6.2 - Prob. 32ESCh. 6.2 - Prob. 33ESCh. 6.2 - Prob. 34ESCh. 6.2 - Prob. 35ESCh. 6.2 - Prob. 36ESCh. 6.2 - Prob. 37ESCh. 6.2 - Prob. 38ESCh. 6.2 - Prob. 39ESCh. 6.2 - Prob. 40ESCh. 6.2 - Prob. 41ESCh. 6.2 - Prob. 42ESCh. 6.2 - Prob. 43ESCh. 6.2 - Prob. 44ESCh. 6.2 - Prob. 45ESCh. 6.2 - Prob. 46ESCh. 6.2 - Prob. 47ESCh. 6.2 - Prob. 48ESCh. 6.2 - Prob. 49ESCh. 6.2 - Prob. 50ESCh. 6.2 - Prob. 51ESCh. 6.2 - Prob. 52ESCh. 6.2 - Prob. 53ESCh. 6.2 - Prob. 54ESCh. 6.2 - Prob. 55ESCh. 6.2 - Prob. 56ESCh. 6.2 - Prob. 57ESCh. 6.2 - Prob. 58ESCh. 6.2 - Prob. 59ESCh. 6.2 - Prob. 60ESCh. 6.2 - Prob. 61ESCh. 6.2 - Prob. 62ESCh. 6.2 - Prob. 63ESCh. 6.2 - Prob. 64ESCh. 6.2 - Prob. 65ESCh. 6.2 - Prob. 66ESCh. 6.2 - Prob. 67ESCh. 6.2 - Prob. 68ESCh. 6.2 - Prob. 69ESCh. 6.2 - Prob. 70ESCh. 6.2 - Prob. 71ESCh. 6.2 - Prob. 72ESCh. 6.2 - Prob. 73ESCh. 6.2 - Prob. 74ESCh. 6.2 - Prob. 75ESCh. 6.2 - Prob. 76ESCh. 6.2 - Prob. 77ESCh. 6.2 - Prob. 78ESCh. 6.2 - Prob. 79ESCh. 6.2 - Prob. 80ESCh. 6.2 - Prob. 81ESCh. 6.2 - Prob. 82ESCh. 6.2 - Prob. 83ESCh. 6.2 - Prob. 84ESCh. 6.2 - Prob. 85ESCh. 6.2 - Prob. 86ESCh. 6.2 - Prob. 87ESCh. 6.2 - Prob. 88ESCh. 6.2 - Prob. 89ESCh. 6.2 - Prob. 90ESCh. 6.2 - Prob. 91ESCh. 6.2 - Prob. 92ESCh. 6.2 - Prob. 93ESCh. 6.2 - 94. Find the reciprocal of Ch. 6.2 - Prob. 95ESCh. 6.2 - Prob. 96ESCh. 6.2 - Prob. 97ESCh. 6.2 - Prob. 98ESCh. 6.2 - Prob. 99ESCh. 6.2 - Prob. 100ESCh. 6.2 - Prob. 101ESCh. 6.2 - Prob. 102ESCh. 6.2 - Prob. 103ESCh. 6.2 - Prob. 104ESCh. 6.2 - Prob. 105ESCh. 6.2 - Prob. 106ESCh. 6.2 - Prob. 107ESCh. 6.2 - Prob. 108ESCh. 6.2 - Prob. 109ESCh. 6.3 - Prob. 1YTCh. 6.3 - Prob. 2YTCh. 6.3 - Prob. 3YTCh. 6.3 - Prob. 4YTCh. 6.3 - Prob. 5YTCh. 6.3 - Prob. 6YTCh. 6.3 - Prob. 1CYUCh. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - Prob. 4CYUCh. 6.3 - Prob. 5CYUCh. 6.3 - Prob. 1ESCh. 6.3 - Prob. 2ESCh. 6.3 - Prob. 3ESCh. 6.3 - Prob. 4ESCh. 6.3 - Prob. 5ESCh. 6.3 - Prob. 6ESCh. 6.3 - Prob. 7ESCh. 6.3 - Prob. 8ESCh. 6.3 - Prob. 9ESCh. 6.3 - Prob. 10ESCh. 6.3 - Prob. 11ESCh. 6.3 - Prob. 12ESCh. 6.3 - Prob. 13ESCh. 6.3 - Prob. 14ESCh. 6.3 - Prob. 15ESCh. 6.3 - Prob. 16ESCh. 6.3 - Prob. 17ESCh. 6.3 - Perform the indicated operation. Simplify, if...Ch. 6.3 - Prob. 19ESCh. 6.3 - Prob. 20ESCh. 6.3 - Prob. 21ESCh. 6.3 - Prob. 22ESCh. 6.3 - Prob. 23ESCh. 6.3 - Prob. 24ESCh. 6.3 - Prob. 25ESCh. 6.3 - Prob. 26ESCh. 6.3 - Prob. 27ESCh. 6.3 - Prob. 28ESCh. 6.3 - Prob. 29ESCh. 6.3 - Prob. 30ESCh. 6.3 - Prob. 31ESCh. 6.3 - Prob. 32ESCh. 6.3 - Prob. 33ESCh. 6.3 - Prob. 34ESCh. 6.3 - Prob. 35ESCh. 6.3 - Prob. 36ESCh. 6.3 - Prob. 37ESCh. 6.3 - Prob. 38ESCh. 6.3 - Prob. 39ESCh. 6.3 - Prob. 40ESCh. 6.3 - Prob. 41ESCh. 6.3 - Prob. 42ESCh. 6.3 - Prob. 43ESCh. 6.3 - Prob. 44ESCh. 6.3 - Prob. 45ESCh. 6.3 - Prob. 46ESCh. 6.3 - Prob. 47ESCh. 6.3 - Prob. 48ESCh. 6.3 - Prob. 49ESCh. 6.3 - Prob. 50ESCh. 6.3 - Prob. 51ESCh. 6.3 - Prob. 52ESCh. 6.3 - Prob. 53ESCh. 6.3 - Prob. 54ESCh. 6.3 - Prob. 55ESCh. 6.3 - Prob. 56ESCh. 6.3 - Prob. 57ESCh. 6.3 - Prob. 58ESCh. 6.3 - Prob. 59ESCh. 6.3 - Prob. 60ESCh. 6.3 - Prob. 61ESCh. 6.3 - Prob. 62ESCh. 6.3 - Prob. 63ESCh. 6.3 - Prob. 64ESCh. 6.3 - Prob. 65ESCh. 6.3 - Prob. 66ESCh. 6.3 - Prob. 67ESCh. 6.3 - Prob. 68ESCh. 6.3 - Prob. 69ESCh. 6.3 - Prob. 70ESCh. 6.3 - Prob. 71ESCh. 6.3 - Prob. 72ESCh. 6.3 - Prob. 73ESCh. 6.3 - Prob. 74ESCh. 6.3 - Prob. 75ESCh. 6.3 - Prob. 76ESCh. 6.3 - Prob. 77ESCh. 6.3 - Prob. 78ESCh. 6.3 - Prob. 79ESCh. 6.3 - Prob. 80ESCh. 6.3 - Prob. 81ESCh. 6.3 - Prob. 82ESCh. 6.3 - Prob. 83ESCh. 6.3 - Prob. 84ESCh. 6.3 - Prob. 85ESCh. 6.3 - Prob. 86ESCh. 6.3 - For technical reasons, the number of strands is...Ch. 6.3 - Prob. 88ESCh. 6.3 - Prob. 89ESCh. 6.3 - Prob. 90ESCh. 6.3 - Prob. 91ESCh. 6.3 - Prob. 92ESCh. 6.3 - Prob. 93ESCh. 6.3 - Prob. 94ESCh. 6.3 - Prob. 95ESCh. 6.3 - Prob. 96ESCh. 6.3 - Prob. 97ESCh. 6.3 - Prob. 1QQCh. 6.3 - Prob. 2QQCh. 6.3 - Prob. 3QQCh. 6.3 - Prob. 4QQCh. 6.3 - Prob. 5QQCh. 6.3 - Prob. 1PTMOCh. 6.3 - Prob. 2PTMOCh. 6.3 - Prob. 3PTMOCh. 6.3 - Prob. 4PTMOCh. 6.3 - Prob. 5PTMOCh. 6.3 - Prob. 6PTMOCh. 6.4 - Prob. 1YTCh. 6.4 - Prob. 2YTCh. 6.4 - Prob. 3YTCh. 6.4 - Prob. 4YTCh. 6.4 - Prob. 5YTCh. 6.4 - Prob. 6YTCh. 6.4 - Prob. 7YTCh. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 1ESCh. 6.4 - Prob. 2ESCh. 6.4 - Prob. 3ESCh. 6.4 - Prob. 4ESCh. 6.4 - Prob. 5ESCh. 6.4 - Prob. 6ESCh. 6.4 - Prob. 7ESCh. 6.4 - Prob. 8ESCh. 6.4 - Prob. 9ESCh. 6.4 - Prob. 10ESCh. 6.4 - Prob. 11ESCh. 6.4 - Prob. 12ESCh. 6.4 - Prob. 13ESCh. 6.4 - Prob. 14ESCh. 6.4 - Prob. 15ESCh. 6.4 - Prob. 16ESCh. 6.4 - Prob. 17ESCh. 6.4 - Prob. 18ESCh. 6.4 - Prob. 19ESCh. 6.4 - Prob. 20ESCh. 6.4 - Prob. 21ESCh. 6.4 - Prob. 22ESCh. 6.4 - Prob. 23ESCh. 6.4 - Prob. 24ESCh. 6.4 - Prob. 25ESCh. 6.4 - Prob. 26ESCh. 6.4 - Prob. 27ESCh. 6.4 - Prob. 28ESCh. 6.4 - Prob. 29ESCh. 6.4 - Prob. 30ESCh. 6.4 - Prob. 31ESCh. 6.4 - Prob. 32ESCh. 6.4 - Prob. 33ESCh. 6.4 - Prob. 34ESCh. 6.4 - Prob. 35ESCh. 6.4 - Prob. 36ESCh. 6.4 - Prob. 37ESCh. 6.4 - Prob. 38ESCh. 6.4 - Prob. 39ESCh. 6.4 - Prob. 40ESCh. 6.4 - Prob. 41ESCh. 6.4 - Prob. 42ESCh. 6.4 - Prob. 43ESCh. 6.4 - Prob. 44ESCh. 6.4 - Prob. 45ESCh. 6.4 - Prob. 46ESCh. 6.4 - Prob. 47ESCh. 6.4 - Prob. 48ESCh. 6.4 - Perform the indicated operation. Simplify, if...Ch. 6.4 - Prob. 50ESCh. 6.4 - Prob. 51ESCh. 6.4 - Prob. 52ESCh. 6.4 - Prob. 53ESCh. 6.4 - Prob. 54ESCh. 6.4 - Prob. 55ESCh. 6.4 - Prob. 56ESCh. 6.4 - Prob. 57ESCh. 6.4 - Prob. 58ESCh. 6.4 - Perform the indicated operation. Simplify, if...Ch. 6.4 - Perform the indicated operation. Simplify, if...Ch. 6.4 - Prob. 61ESCh. 6.4 - Prob. 62ESCh. 6.4 - Prob. 63ESCh. 6.4 - Prob. 64ESCh. 6.4 - Prob. 65ESCh. 6.4 - Prob. 66ESCh. 6.4 - Prob. 67ESCh. 6.4 - Perform the indicated operation. Simplify, if...Ch. 6.4 - Prob. 69ESCh. 6.4 - Prob. 70ESCh. 6.4 - Prob. 71ESCh. 6.4 - Prob. 72ESCh. 6.4 - Prob. 73ESCh. 6.4 - Prob. 74ESCh. 6.4 - Prob. 75ESCh. 6.4 - Perform the indicated operations. Simplify, if...Ch. 6.4 - Prob. 77ESCh. 6.4 - Prob. 78ESCh. 6.4 - Perform the indicated operations. Simplify, if...Ch. 6.4 - Prob. 80ESCh. 6.4 - Prob. 81ESCh. 6.4 - Prob. 82ESCh. 6.4 - Prob. 83ESCh. 6.4 - Prob. 84ESCh. 6.4 - Prob. 85ESCh. 6.4 - Prob. 86ESCh. 6.4 - Prob. 87ESCh. 6.4 - Prob. 88ESCh. 6.4 - Prob. 89ESCh. 6.4 - Prob. 90ESCh. 6.4 - Prob. 91ESCh. 6.4 - Prob. 92ESCh. 6.4 - Prob. 93ESCh. 6.4 - Prob. 94ESCh. 6.4 - Prob. 95ESCh. 6.4 - Prob. 96ESCh. 6.4 - Prob. 97ESCh. 6.4 - Prob. 98ESCh. 6.4 - Prob. 99ESCh. 6.4 - Prob. 100ESCh. 6.4 - Prob. 101ESCh. 6.4 - Prob. 102ESCh. 6.4 - Prob. 103ESCh. 6.4 - Prob. 1QQCh. 6.4 - Prob. 2QQCh. 6.4 - Prob. 3QQCh. 6.4 - Prob. 4QQCh. 6.4 - Prob. 5QQCh. 6.4 - Prob. 1PTMOCh. 6.4 - Prob. 2PTMOCh. 6.4 - Prob. 3PTMOCh. 6.4 - Prob. 4PTMOCh. 6.4 - Prob. 1MCRCh. 6.4 - Prob. 2MCRCh. 6.4 - Prob. 3MCRCh. 6.4 - Prob. 4MCRCh. 6.4 - Prob. 5MCRCh. 6.4 - Prob. 6MCRCh. 6.4 - Prob. 7MCRCh. 6.4 - Prob. 8MCRCh. 6.4 - Prob. 9MCRCh. 6.4 - Prob. 10MCRCh. 6.4 - Prob. 11MCRCh. 6.4 - Prob. 12MCRCh. 6.4 - Prob. 13MCRCh. 6.4 - Prob. 14MCRCh. 6.4 - Prob. 15MCRCh. 6.4 - Prob. 16MCRCh. 6.4 - Prob. 17MCRCh. 6.4 - Prob. 18MCRCh. 6.4 - Prob. 19MCRCh. 6.4 - Prob. 20MCRCh. 6.5 - 1. Simplify: . Ch. 6.5 - Simplify: 1t15t5t.Ch. 6.5 - 3. Simplify: . Ch. 6.5 - Simplify: 123xx49x.Ch. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Consider the expression Choose from the following...Ch. 6.5 - Consider the expression Choose from the following...Ch. 6.5 - Consider the expression Choose from the following...Ch. 6.5 - Consider the expression Choose from the following...Ch. 6.5 - Each of Exercises 5–8 shows a complex rational...Ch. 6.5 - Each of Exercises 5–8 shows a complex rational...Ch. 6.5 - Each of Exercises 58 shows a complex rational...Ch. 6.5 - Each of Exercises 58 shows a complex rational...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - Simplify. Use either method or the method...Ch. 6.5 - 55. Is it possible to simplify complex rational...Ch. 6.5 - Why is the distributive law important when...Ch. 6.5 - Factor. 6x39x24x [5.1]Ch. 6.5 - Factor. 58. [5.1] Ch. 6.5 - Factor. 30n33n29n [5.3]Ch. 6.5 - Factor. 60. [5.4] Ch. 6.5 - Factor. 61 [5.4] Ch. 6.5 - Factor. p2w22pw120 [5.4]Ch. 6.5 - Prob. 63ESCh. 6.5 - Prob. 64ESCh. 6.5 - In each of Exercises 65–68, find all x-values for...Ch. 6.5 - In each of Exercises 65–68, find all x-values for...Ch. 6.5 - In each of Exercises 6568, find all x-values for...Ch. 6.5 - In each of Exercises 65–68, find all x-values for...Ch. 6.5 - Use multiplication by the LCD (Method 2) to show...Ch. 6.5 - 70. The formula where P is a loan amount and i...Ch. 6.5 - Prob. 71ESCh. 6.5 - Simplify. z1z2+2z2z2z5z23Ch. 6.5 - Simplify. Aha! [x1x11x+1x1+1]5Ch. 6.5 - Simplify. 74. Ch. 6.5 - Simplify. 75. Ch. 6.5 - Simplify. 76. Ch. 6.5 - Simplify. Find the simplified form for the...Ch. 6.5 - Simplify. 78. Under what circumstance(s) will...Ch. 6.5 - Simplify. 8x220x124x214x+6 [6.2]Ch. 6.5 - Simplify. 2. [6.5] Ch. 6.5 - Perform the indicated operation and, if possible,...Ch. 6.5 - Perform the indicated operation and, if possible,...Ch. 6.5 - Perform the indicated operation and, if possible,...Ch. 6.5 - Solve. 1. Ch. 6.5 - Solve. 2. [2.2] Ch. 6.5 - Solve. x2+13x30=0 [5.7]Ch. 6.5 - Solve. 2x2+4x+2=0[5.7]Ch. 6.6 - Solve: t3+t5=1.Ch. 6.6 - 2. Solve: . Ch. 6.6 - Solve: 6x24=x+1x22x.Ch. 6.6 - Tell whether each exercise contains either an...Ch. 6.6 - Prob. 2ECh. 6.6 - Prob. 3ECh. 6.6 - Tell whether each exercise contains either an...Ch. 6.6 - Tell whether each exercise contains either an...Ch. 6.6 - Prob. 6ECh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 1ESCh. 6.6 - Classify each of the following statements as...Ch. 6.6 - Classify each of the following statements as...Ch. 6.6 - Classify each of the following statements as...Ch. 6.6 - Solve. If no solution exits, state this. 5. Ch. 6.6 - Solve. If no solution exits, state this. 5835=x10Ch. 6.6 - Solve. If no solution exits, state this. 7. Ch. 6.6 - Solve. If no solution exits, state this. 8. Ch. 6.6 - Solve. If no solution exits, state this. x66x=0Ch. 6.6 - Solve. If no solution exits, state this. 10. Ch. 6.6 - Solve. If no solution exits, state this. 11. Ch. 6.6 - Solve. If no solution exits, state this. 12. Ch. 6.6 - Solve. If no solution exits, state this. 13. Ch. 6.6 - Solve. If no solution exits, state this. 14. Ch. 6.6 - Solve. If no solution exits, state this. 15. Ch. 6.6 - Solve. If no solution exits, state this. x2=18xCh. 6.6 - Solve. If no solution exits, state this. y+4y=5Ch. 6.6 - Solve. If no solution exits, state this. n+3n=4Ch. 6.6 - Solve. If no solution exits, state this. 19. Ch. 6.6 - Solve. If no solution exits, state this. a4a+6=13Ch. 6.6 - Solve. If no solution exits, state this. 21. Ch. 6.6 - Solve. If no solution exits, state this. 22. Ch. 6.6 - Solve. If no solution exits, state this. 3x4=5x+1Ch. 6.6 - Solve. If no solution exits, state this. 24. Ch. 6.6 - Solve. If no solution exits, state this. a6a10=16Ch. 6.6 - Solve. If no solution exits, state this. t8t12=18Ch. 6.6 - Solve. If no solution exits, state this. 27. Ch. 6.6 - Solve. If no solution exits, state this. x+251=x24Ch. 6.6 - Solve. If no solution exits, state this. 29. Ch. 6.6 - Solve. If no solution exits, state this. 30. Ch. 6.6 - Solve. If no solution exits, state this. 3x+4=5xCh. 6.6 - Solve. If no solution exits, state this. 2x+3=7xCh. 6.6 - Solve. If no solution exits, state this. 33. Ch. 6.6 - Solve. If no solution exits, state this. 34. Ch. 6.6 - Solve. If no solution exits, state this. 35. Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this. 37. Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this. 42. Ch. 6.6 - Solve. If no solution exits, state this. 76a=a+1a6Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this. Aha!...Ch. 6.6 - Solve. If no solution exits, state this. 46. Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - Solve. If no solution exits, state this....Ch. 6.6 - When solving rational equations, why do we...Ch. 6.6 - Prob. 50ESCh. 6.6 - 51. Find the x-intercept and the y-intercept of...Ch. 6.6 - 52. Find the slop the line containing the points ...Ch. 6.6 - 53. Find the slope and the y-intercept of the line...Ch. 6.6 - 54. Determine whether the graphs of the following...Ch. 6.6 - 55. Write the slope-intercept equation of the line...Ch. 6.6 - 56. Write a point-slope equation for the line with...Ch. 6.6 - Describe a method that can be used to create...Ch. 6.6 - 58. How can a graph be used to determine how many...Ch. 6.6 - Solve. 1+x1x3=2x3xCh. 6.6 - Solve. 60. Ch. 6.6 - Solve. 61. Ch. 6.6 - Solve. 62. Ch. 6.6 - Solve. 63. Ch. 6.6 - Solve. 64. Ch. 6.6 - Solve. 1x1+x5=5x4x16Ch. 6.6 - Solve. 53aa2+4a+32a+2a+3=3aa+1Ch. 6.6 - Solve. 67. Ch. 6.6 - Solve. 68. Ch. 6.6 - Use a graphing calculator to check your answers to...Ch. 6.6 - 70. The reciprocal of a number is the number...Ch. 6.6 - 1. Multiply and, if possible,...Ch. 6.6 - Find the LCM x34x,x2x2 [6.3]Ch. 6.6 - 3. Subtract and, if possible, simplify: . [6.4] Ch. 6.6 - 4. Simplify: . [6.5] Ch. 6.6 - 5. Solve: . [6.6] Ch. 6.6 - Solve. The sum of two consecutive odd numbers is...Ch. 6.6 - Solve. 2. The product of two consecutive even...Ch. 6.6 - Solve. The height of a triangle is 3 cm longer...Ch. 6.6 - Solve. Between June 9 and June 24, Seths beard...Ch. 6.7 - Refer to Example 1. Suppose that Brian can pick...Ch. 6.7 - 2. Oliver can paint the trim on the Polinskis’...Ch. 6.7 - Peter can drive 25 mph faster on the highway than...Ch. 6.7 - 4. At a length of 4 km, the Comal River in Texas...Ch. 6.7 - Prob. 5YTCh. 6.7 - 6. Refer to Example 6. Suppose that the width of...Ch. 6.7 - 7. Refer to Example 7. Suppose that Brent sent or...Ch. 6.7 - Refer to Example 8. Suppose that the team captured...Ch. 6.7 - Prob. 1CYUCh. 6.7 - Prob. 2CYUCh. 6.7 - Prob. 3CYUCh. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Classify each of the following statements as...Ch. 6.7 - Find each rate. If Sandy can decorate a cake in 2...Ch. 6.7 - Find each rate. If Eric can decorate a cake in 3...Ch. 6.7 - Find each rate. 9. If Sandy can decorate a cake in...Ch. 6.7 - Find each rate. 10. If Lisa and Mark can now a...Ch. 6.7 - Find each rate. 11. If Lisa can mow a lawn by...Ch. 6.7 - Find each rate. If Lisa and Mark can mow a lawn...Ch. 6.7 - Volunteerism. It takes Kelby 10 hr per week to...Ch. 6.7 - 14. Pumping Water. An ABS Robusta 300 TS sump pump...Ch. 6.7 - Home Restoration. Bryan can refinish the floor of...Ch. 6.7 - Custom Embroidery. Chandra can embroider logos on...Ch. 6.7 - 17. Filling a Pool. The San Paulo community...Ch. 6.7 - Filling a Tank. A community water tank can be...Ch. 6.7 - Scanners. The Epson WorkForce DS-6500 takes twice...Ch. 6.7 - 20. Cutting Firewood. Kent can cut and split a...Ch. 6.7 - 21. Mulching. Anita can mulch the college gardens...Ch. 6.7 - 22. Photo Printing. It takes the Canon PIXMA...Ch. 6.7 - 23. Software Development. Tristan, an experienced...Ch. 6.7 - Forest Fires. The Erickson Air-Crane helicopter...Ch. 6.7 - Paving. Together, Steve and Bill require 4 hr 48...Ch. 6.7 - Train Speeds. A CSX freight train is traveling 14...Ch. 6.7 - 28. Speed of Travel. A loaded Roadway truck is...Ch. 6.7 - Driving Speed. Seans Camaro travels 15 mph faster...Ch. 6.7 - 30. Bicycle Speed. Ada bicycles 5 km/h slower than...Ch. 6.7 - Kayaking. The speed of the current in Catamount...Ch. 6.7 - 32. Boating. The current in the Lazy River moves...Ch. 6.7 - Moving Sidewalks. The moving sidewalk at OHare...Ch. 6.7 - Moving Sidewalks. Newark Airports moving sidewalk...Ch. 6.7 - Aha! Tractor Speed. Manleys tractor is just as...Ch. 6.7 - 36. Boat Speed. Tory and Emilio’s motorboats...Ch. 6.7 - 37. Aviation. A Citation CV jet travels 460 mph in...Ch. 6.7 - Canoeing. Chad paddles 55 m/ min in still water....Ch. 6.7 - 39. Train Travel. A freight train covered 120 mi...Ch. 6.7 - Moped Speed. Dexter rode 60 mi on his moped at a...Ch. 6.7 - Geometry. For each pair of similar triangles, find...Ch. 6.7 - Geometry. For each pair of similar triangles, find...Ch. 6.7 - Geometry. For each pair of similar triangles, find...Ch. 6.7 - Geometry. For each pair of similar triangles, find...Ch. 6.7 - Prob. 45ESCh. 6.7 - Graphing. Find the indicated length. 46. s Ch. 6.7 - Architecture. Use the following blueprint to find...Ch. 6.7 - Architecture. Use the following blueprint to find...Ch. 6.7 - Architecture. Use the following blueprint to find...Ch. 6.7 - Architecture. Use the following blueprint to find...Ch. 6.7 - Find the indicated length.Ch. 6.7 - Find the indicated length. 52. Ch. 6.7 - Flight Mechanics. The wing aspect ratio for a bird...Ch. 6.7 - Flight Mechanics. The wing aspect ratio for a bird...Ch. 6.7 - Spending Habits. In the first 8 days of September,...Ch. 6.7 - Burning Calories. The average 140-lb adult burns...Ch. 6.7 - Aha! Photography. Aziza snapped 234 photos over a...Ch. 6.7 - Mileage. The Toyota Prius is a hybrid car that...Ch. 6.7 - 59. Light Bulbs. A sample of 220 compact...Ch. 6.7 - 60. Flash Drives. A sample of 150 flash drives...Ch. 6.7 - Veterinary Science. The amount of water needed by...Ch. 6.7 - 62. Miles Driven. Emmanuel is allowed to drive his...Ch. 6.7 - 63. Environmental Science. To determine the number...Ch. 6.7 - 64. Fox Population. To determine the number of...Ch. 6.7 - Is it correct to assume that two workers will...Ch. 6.7 - If two triangles are exactly the same shape and...Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Perform the indicated operation and...Ch. 6.7 - Perform the indicated operation and simplify....Ch. 6.7 - Two steamrollers are paving a parking lot. Working...Ch. 6.7 - Two fuel lines are filling a freighter with oil....Ch. 6.7 - Filling a Bog. The Norwich cranberry bog can be...Ch. 6.7 - 76. Filling a Tub. Gretchen’s hot tub can be...Ch. 6.7 - Car Cleaning. Together, Michelle, Sal, and Kristen...Ch. 6.7 - 78. Grading. Alma can grade a batch of placement...Ch. 6.7 - 79. Refer to Exercise 31. How long will it take...Ch. 6.7 - Refer to Exercise 32. How long will it take Mickie...Ch. 6.7 - 81. Escalators. Together, a 100-cm wide escalator...Ch. 6.7 - 82. Aviation. A Coast Guard plane has enough fuel...Ch. 6.7 - 83. Boating. Shoreline Travel operates a 3-hr...Ch. 6.7 - Travel by Car. Angenita drives to work at 50 mph...Ch. 6.7 - 85. According to the U.S. Census Bureau,...Ch. 6.7 - 86. Home Maintenance. Fuel used in many chain saws...Ch. 6.7 - At what time after 4:00 will the minute hand and...Ch. 6.7 - At what time after 10:30 will the hands of a clock...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - Average speed is defined as total distance divided...Ch. 6.7 - 95. Are the equations and equivalent? Why or...Ch. 6.7 - Prob. 1QQCh. 6.7 - Divide and, if possible, simplify: 7x+21x4x+35x20....Ch. 6.7 - 3. Add and, if possible, simplify: . [6.4] Ch. 6.7 - Solve: 7x=3x+4. [6.6]Ch. 6.7 - 5. Scot can prepare a tray of appetizers in 75...Ch. 6.7 - Prob. 1PTMOCh. 6.7 - Prob. 2PTMOCh. 6.7 - Prob. 3PTMOCh. 6.7 - Prob. 4PTMOCh. 6 - Advertising. In 2014, advertisers worldwide spent...Ch. 6 - Bicycling. The speed of one bicyclist is 2 km/h...Ch. 6 - Prob. 3RVSCh. 6 - Prob. 4RVSCh. 6 - Prob. 5RVSCh. 6 - Prob. 6RVSCh. 6 - Prob. 7RVSCh. 6 - Prob. 8RVSCh. 6 - Prob. 9RVSCh. 6 - Prob. 10RVSCh. 6 - Prob. 1DMCCh. 6 - Prob. 2DMCCh. 6 - Prob. 3DMCCh. 6 - Prob. 4DMCCh. 6 - Prob. 5DMCCh. 6 - Prob. 6DMCCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 1TCh. 6 - Prob. 2TCh. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Prob. 6TCh. 6 - Prob. 7TCh. 6 - Prob. 8TCh. 6 - Prob. 9TCh. 6 - Prob. 10TCh. 6 - Prob. 11TCh. 6 - Prob. 12TCh. 6 - Prob. 13TCh. 6 - Prob. 14TCh. 6 - Prob. 15TCh. 6 - Prob. 16TCh. 6 - Prob. 17TCh. 6 - Prob. 18TCh. 6 - Prob. 19TCh. 6 - Prob. 20TCh. 6 - Prob. 21TCh. 6 - Prob. 22TCh. 6 - Prob. 23TCh. 6 - Prob. 24TCh. 6 - Prob. 25TCh. 6 - 1. Use the commutative law of multiplication to...Ch. 6 - Evaluate 2x2 for x=5. [1.8]Ch. 6 - 3. Evaluate for. [1.8] Ch. 6 - 4. Simplify: . [1.8] Ch. 6 - Solve. 5. [2.2] Ch. 6 - Solve. x2+11x+10=0 [5.7]Ch. 6 - Solve. 7. [5.7] Ch. 6 - Solve. 8. [2.2] Ch. 6 - Solve. 4x+x=5 [6.6]Ch. 6 - Solve. 10. [6.6] Ch. 6 - Solve. 2x2+7x=4 [5.7]Ch. 6 - Solve. 4(x+7)5(x3) [2.6]Ch. 6 - Solve. 2x29+5x3=3x+3 [6.6]Ch. 6 - Solve. 14. Solve [2.3] Ch. 6 - Graph. [3.2], [3.3], [3.6] 15. Ch. 6 - Graph. [3.2], [3.3], [3.6] 16. Ch. 6 - Graph. [3.2], [3.3], [3.6] 17. Ch. 6 - Graph. [3.2], [3.3], [3.6] y=6Ch. 6 - 19. Find the slope of the line containing the...Ch. 6 - 20. Find the slope and the y-intercept of the line...Ch. 6 - Write the slope-intercept equation of the line...Ch. 6 - Simplify. 22. [4.2] Ch. 6 - Simplify. 2(2a2b7)2 [4.1]Ch. 6 - Simplify. Subtract: (8y2y+2)(y36y2+y5) [4.4]Ch. 6 - Multiply. (2x21)(x3+x3) [4.5]Ch. 6 - Multiply. 26. [4.6] Ch. 6 - Prob. 27CRCh. 6 - Multiply. (2x3+1)(2x31) [4.6]Ch. 6 - Factor. 29. Ch. 6 - Factor. 16x281[5.4]Ch. 6 - Factor. 31. Ch. 6 - Factor. 10t3+10[5.5]Ch. 6 - Factor. 33. Ch. 6 - Factor. 25t2+40t+16[5.4]Ch. 6 - Factor. x2y2xy20[5.2]Ch. 6 - Factor. x4+2x33x6[5.1]Ch. 6 - Simplify. 4t20t216t4t5 [6.2]Ch. 6 - Simplify. x21x2x2x1x2 [6.2]Ch. 6 - Simplify. 5aba2b2+a+bab [6.4]Ch. 6 - Simplify. x+24xx+3x4 [6.4]Ch. 6 - Simplify. 41. [6.5] Ch. 6 - Simplify. Divide: (15x412x3+6x2+2x+18)(x+3) [4.8]Ch. 6 - Solve. For each order, alibris.com charges a...Ch. 6 - Solve. Nikki is laying out two square flower...Ch. 6 - Solve. 45. It takes Wes 25 min to file a week’s...Ch. 6 - Solve. 46. Rachel burned 450 calories in a...Ch. 6 - Prob. 47CRCh. 6 - 48. Solve: Ch. 6 - Solve: 2x33x+34x27x+12=0[6.6]
Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Text book image
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Text book image
PREALGEBRA
Algebra
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
Intermediate Algebra
Algebra
ISBN:9780998625720
Author:Lynn Marecek
Publisher:OpenStax College
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
SEE MORE TEXTBOOKS
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY