College Algebra Essentials
1st Edition
ISBN: 9780078035616
Author: Julie Miller
Publisher: MCG
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Concept explainers
Question
Chapter R.5, Problem 85PE
To determine
To calculate: The simplified form of the expression
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Check out a sample textbook solutionStudents have asked these similar questions
For Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples.
• In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2).
• Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5).
To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that
x + 4 = (x + 2i)(x – 2i).
115. а. х
- 9
116. а. х?
- 100
117. а. х
- 64
b. x + 9
b. + 100
b. x + 64
118. а. х — 25
119. а. х— 3
120. а. х — 11
b. x + 25
b. x + 3
b. x + 11
Exercises 38–40 will help you prepare for the material covered in
the first section of the next chapter.
In Exercises 38-39, simplify each algebraic expression.
38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6)
39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9)
40. The figures show the graphs of two functions.
y
y
201
10-
....
-20-
flx) = x³
glx) = -0.3x + 4x + 2
In Exercises 101–103, perform the indicated operations.
1
1
1
101.
x" – 1 x" + 1 x2" – 1
(1-X- -X )
(1 –
(1 –
102. (1 -
x + 1)
x + 2
x + 3
103. (x – y)-1 + (x – y)-2
Chapter R Solutions
College Algebra Essentials
Ch. R.1 - Practice Exercises Concept Connections A ________...Ch. R.1 - Practice Exercises Concept Connections = {0, 1, 2,...Ch. R.1 - Practice Exercises Concept Connections N = {1, 2,...Ch. R.1 - Practice Exercises Concept Connections Z = {...,...Ch. R.1 - Practice Exercises Concept Connections A set can...Ch. R.1 - Prob. 6PECh. R.1 - Prob. 7PECh. R.1 - Prob. 8PECh. R.1 - Practice Exercises Concept Connections The...Ch. R.1 - Practice Exercises Concept Connections The...
Ch. R.1 - Prob. 11PECh. R.1 - Prob. 12PECh. R.1 - Practice Exercises Concept Connections The symbol...Ch. R.1 - Practice Exercises Concept Connections The...Ch. R.1 - Prob. 15PECh. R.1 - Prob. 16PECh. R.1 - Objective 1: Identify Subsets of the Set of Real...Ch. R.1 - Objective 1: Identify Subsets of the Set of Real...Ch. R.1 - Prob. 19PECh. R.1 - Prob. 20PECh. R.1 - Prob. 21PECh. R.1 - Prob. 22PECh. R.1 - Prob. 23PECh. R.1 - Prob. 24PECh. R.1 - Prob. 25PECh. R.1 - Prob. 26PECh. R.1 - Prob. 27PECh. R.1 - Prob. 28PECh. R.1 - Prob. 29PECh. R.1 - Prob. 30PECh. R.1 - Prob. 31PECh. R.1 - Prob. 32PECh. R.1 - Prob. 33PECh. R.1 - Prob. 34PECh. R.1 - Prob. 35PECh. R.1 - Prob. 36PECh. R.1 - Prob. 37PECh. R.1 - Prob. 38PECh. R.1 - Prob. 39PECh. R.1 - Prob. 40PECh. R.1 - Prob. 41PECh. R.1 - Prob. 42PECh. R.1 - Prob. 43PECh. R.1 - Prob. 44PECh. R.1 - Objective 2: Use Inequality Symbols and Interval...Ch. R.1 - Prob. 46PECh. R.1 - Prob. 47PECh. R.1 - Prob. 48PECh. R.1 - Prob. 49PECh. 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R.1 - Prob. 142PECh. R.1 - Prob. 143PECh. R.1 - Prob. 144PECh. R.1 - Prob. 145PECh. R.2 - For Exercises 1-2, write the interval notation and...Ch. R.2 - For Exercises 1-2, write the interval notation and...Ch. R.2 - For Exercises 3-4, write an absolute value...Ch. R.2 - For Exercises 3-4, write an absolute value...Ch. R.2 - For Exercises 5-8, determine whether the statement...Ch. R.2 - For Exercises 5-8, determine whether the statement...Ch. R.2 - For Exercises 5-8, determine whether the statement...Ch. R.2 - For Exercises 5-8, determine whether the statement...Ch. R.2 - For Exercises 9-10, simplify. 12(99)2(2)37+1Ch. R.2 - For Exercises 9-10, simplify. 10282(164)2Ch. R.2 - One type of mathematical model is a formula that...Ch. R.2 - Model _______ is a term used to describe a...Ch. R.2 - A _____ is a product of factors that may include...Ch. R.2 - The numerical _________ of a term is the constant...Ch. R.2 - The _______ properties of addition and...Ch. R.2 - The sum of a number and its additive inverse is...Ch. R.2 - The number _______ is the identity element of...Ch. R.2 - Zero is the _______ element of addition.Ch. R.2 - The additive inverse of a real number x is ______.Ch. R.2 - The statement a(b + c) = ab + ac represents the...Ch. R.2 - The multiplicative inverse of a nonzero real...Ch. R.2 - The ________ property of addition indicates that a...Ch. R.2 - The associative property of multiplication...Ch. R.2 - The number _________ is the only real number that...Ch. R.2 - Gas mileage depends in part on the speed of the...Ch. R.2 - The bacterium Pseudomonas aeruginosa is cultured...Ch. R.2 - Data from the Bureau of Labor Statistics Consumer...Ch. R.2 - Selena started a new diet and exercise program,...Ch. R.2 - The temperature at noon in Orlando, Florida, in...Ch. R.2 - Scientists often use the Kelvin scale to measure...Ch. R.2 - The retail price P for a sofa is the sum of the...Ch. R.2 - The sale price S for a tractor is the difference...Ch. R.2 - Jake is 1 yr younger than Charlotte. a. Write a...Ch. R.2 - For a recent NFL season, Aaron Rogers had 9 more...Ch. R.2 - At the end of the summer, a home store discounts...Ch. R.2 - When Ms. Tibbets has excellent service at a...Ch. R.2 - Suppose that an object is dropped from a height h....Ch. R.2 - The height of a sunflower plant can be determined...Ch. R.2 - A power company charges one household $0.12 per...Ch. R.2 - A utility company charges a base rate for water...Ch. R.2 - The cost C (in $) to rent an apartment is $640 per...Ch. R.2 - For a certain college, the cost C (in $) for...Ch. R.2 - A hotel charges $159 per night plus an 11% nightly...Ch. R.2 - A hotel charges $149 per night plus a 16% nightly...Ch. R.2 - For Exercises 45-50, list the terms and...Ch. R.2 - For Exercises 45-50, list the terms and...Ch. R.2 - For Exercises 45-50, list the terms and...Ch. R.2 - For Exercises 45-50, list the terms and...Ch. R.2 - For Exercises 45-50, list the terms and...Ch. R.2 - For Exercises 45-50, list the terms and...Ch. R.2 - For Exercises 51-56, apply the commutative...Ch. R.2 - For Exercises 51-56, apply the commutative...Ch. R.2 - For Exercises 51-56, apply the commutative...Ch. R.2 - For Exercises 51-56, apply the commutative...Ch. R.2 - For Exercises 51-56, apply the commutative...Ch. R.2 - For Exercises 5156, apply the commutative property...Ch. R.2 - For Exercises 5760, apply the associative property...Ch. R.2 - For Exercises 5760, apply the associative property...Ch. R.2 - For Exercises 5760, apply the associative property...Ch. R.2 - For Exercises 5760, apply the associative property...Ch. R.2 - For Exercises 6168, (a) identify the additive...Ch. R.2 - For Exercises 6168, (a) identify the additive...Ch. R.2 - For Exercises 6168, (a) identify the additive...Ch. R.2 - For Exercises 6168, (a) identify the additive...Ch. R.2 - For Exercises 6168, (a) identify the additive...Ch. R.2 - For Exercises 6168, (a) identify the additive...Ch. R.2 - For Exercises 6168, (a) identify the additive...Ch. R.2 - For Exercises 6168, (a) identify the additive...Ch. R.2 - For Exercises 6974, combine like terms. (See...Ch. R.2 - For Exercises 6974, combine like terms. (See...Ch. R.2 - For Exercises 6974, combine like terms. (See...Ch. R.2 - For Exercises 6974, combine like terms. (See...Ch. R.2 - For Exercises 6974, combine like terms. (See...Ch. R.2 - For Exercises 6974, combine like terms. (See...Ch. R.2 - For Exercises 7582, apply the distributive...Ch. R.2 - For Exercises 7582, apply the distributive...Ch. R.2 - For Exercises 7582, apply the distributive...Ch. R.2 - For Exercises 7582, apply the distributive...Ch. R.2 - For Exercises 7582, apply the distributive...Ch. R.2 - For Exercises 7582, apply the distributive...Ch. R.2 - For Exercises 7582, apply the distributive...Ch. R.2 - For Exercises 7582, apply the distributive...Ch. R.2 - For Exercises 8390, simplify each expression. (See...Ch. R.2 - For Exercises 8390, simplify each expression. (See...Ch. R.2 - For Exercises 8390, simplify each expression. (See...Ch. R.2 - For Exercises 8390, simplify each expression. (See...Ch. R.2 - For Exercises 8390, simplify each expression. (See...Ch. R.2 - For Exercises 8390, simplify each expression. (See...Ch. R.2 - For Exercises 8390, simplify each expression. (See...Ch. R.2 - For Exercises 8390, simplify each expression. (See...Ch. R.2 - For Exercises 9196, evaluate each expression for...Ch. R.2 - For Exercises 9196, evaluate each expression for...Ch. R.2 - For Exercises 9196, evaluate each expression for...Ch. R.2 - For Exercises 9196, evaluate each expression for...Ch. R.2 - For Exercises 9196, evaluate each expression for...Ch. R.2 - For Exercises 9196, evaluate each expression for...Ch. R.2 - The width of a rectangle is 3 ft less than twice...Ch. R.2 - The longest side of a triangle is 5 ft less than...Ch. R.2 - Total college enrollment in the United States...Ch. R.2 - The average cost per kilowatt-hour for residential...Ch. R.2 - Under selected conditions, a sports car gets 15...Ch. R.2 - Under selected conditions, a sedan gets 22 mpg in...Ch. R.2 - Explain the difference between the commutative...Ch. R.2 - Explain why 0 has no multiplicative inverse.Ch. R.2 - For Exercises 105106, use a calculator to evaluate...Ch. R.2 - For Exercises 105106, use a calculator to evaluate...Ch. R.3 - Prob. 1PECh. R.3 - Prob. 2PECh. R.3 - Prob. 3PECh. R.3 - Prob. 4PECh. R.3 - Prob. 5PECh. R.3 - Prob. 6PECh. R.3 - Prob. 7PECh. R.3 - Prob. 8PECh. R.3 - Prob. 9PECh. R.3 - Prob. 10PECh. R.3 - Prob. 11PECh. R.3 - Prob. 12PECh. R.3 - Prob. 13PECh. R.3 - Prob. 14PECh. R.3 - Prob. 15PECh. R.3 - Prob. 16PECh. R.3 - Prob. 17PECh. R.3 - Prob. 18PECh. R.3 - Prob. 19PECh. R.3 - Prob. 20PECh. R.3 - Prob. 21PECh. R.3 - Prob. 22PECh. R.3 - Prob. 23PECh. R.3 - Prob. 24PECh. R.3 - Prob. 25PECh. R.3 - Prob. 26PECh. 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R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 1526, simplify the expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 2736, simplify each expression. (See...Ch. R.4 - For Exercises 3738, write the expression using...Ch. R.4 - For Exercises 3738, write the expression using...Ch. R.4 - For Exercises 3946, write the expression using...Ch. R.4 - For Exercises 3946, write the expression using...Ch. R.4 - For Exercises 3946, write the expression using...Ch. R.4 - For Exercises 3946, write the expression using...Ch. R.4 - For Exercises 3946, write the expression using...Ch. R.4 - For Exercises 3946, write the expression using...Ch. R.4 - For Exercises 3946, write the expression using...Ch. R.4 - For Exercises 3946, write the expression using...Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - For Exercises 4756, simplify each expression....Ch. R.4 - a. For what values of t will the statement be...Ch. R.4 - a. For what values of c will the statement be...Ch. R.4 - For Exercises 5966, simplify each expression. (See...Ch. R.4 - For Exercises 5966, simplify each expression. (See...Ch. R.4 - For Exercises 5966, simplify each expression. (See...Ch. R.4 - For Exercises 5966, simplify each expression. (See...Ch. R.4 - For Exercises 5966, simplify each expression. (See...Ch. R.4 - For Exercises 5966, simplify each expression. (See...Ch. R.4 - For Exercises 5966, simplify each expression. (See...Ch. R.4 - For Exercises 5966, simplify each expression. (See...Ch. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - Prob. 71PECh. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - Prob. 77PECh. R.4 - For Exercises 6782, simplify each expression....Ch. R.4 - Prob. 79PECh. R.4 - Prob. 80PECh. R.4 - Prob. 81PECh. R.4 - Prob. 82PECh. R.4 - Prob. 83PECh. R.4 - Prob. 84PECh. R.4 - Prob. 85PECh. R.4 - Prob. 86PECh. R.4 - Prob. 87PECh. R.4 - Prob. 88PECh. R.4 - Prob. 89PECh. R.4 - Prob. 90PECh. R.4 - Prob. 91PECh. R.4 - Prob. 92PECh. R.4 - Prob. 93PECh. R.4 - Prob. 94PECh. R.4 - Prob. 95PECh. R.4 - Prob. 96PECh. R.4 - Prob. 97PECh. R.4 - Prob. 98PECh. R.4 - Prob. 99PECh. R.4 - Prob. 100PECh. R.4 - Prob. 101PECh. R.4 - Prob. 102PECh. R.4 - Prob. 103PECh. R.4 - Prob. 104PECh. R.4 - Prob. 105PECh. R.4 - Prob. 106PECh. R.4 - Prob. 107PECh. R.4 - Prob. 108PECh. R.4 - Prob. 109PECh. R.4 - Prob. 110PECh. R.4 - The size of a television is identified by the...Ch. R.4 - If the span of a roof is 36 ft and the rise is 12...Ch. R.4 - Prob. 113PECh. R.4 - Prob. 114PECh. R.4 - Prob. 115PECh. R.4 - Prob. 116PECh. R.4 - Prob. 117PECh. R.4 - Prob. 118PECh. R.4 - Prob. 119PECh. R.4 - Prob. 120PECh. R.4 - Prob. 121PECh. R.4 - Prob. 122PECh. R.4 - Prob. 123PECh. R.4 - Prob. 124PECh. R.4 - Prob. 125PECh. R.4 - Prob. 126PECh. R.4 - Prob. 127PECh. R.4 - Prob. 128PECh. R.5 - Prob. 1PECh. R.5 - Prob. 2PECh. R.5 - Prob. 3PECh. 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R.5 - Prob. 54PECh. R.5 - Prob. 55PECh. R.5 - Prob. 56PECh. R.5 - The total national expenditure for health care has...Ch. R.5 - Prob. 58PECh. R.5 - Prob. 59PECh. R.5 - Prob. 60PECh. R.5 - Prob. 61PECh. R.5 - Prob. 62PECh. R.5 - Prob. 63PECh. R.5 - Prob. 64PECh. R.5 - Prob. 65PECh. R.5 - Prob. 66PECh. R.5 - Prob. 67PECh. R.5 - Prob. 68PECh. R.5 - Suppose that x represents the smaller of two...Ch. R.5 - Prob. 70PECh. R.5 - Prob. 71PECh. R.5 - Prob. 72PECh. R.5 - Prob. 73PECh. R.5 - Prob. 74PECh. R.5 - Prob. 75PECh. R.5 - Prob. 76PECh. R.5 - Prob. 77PECh. R.5 - Prob. 78PECh. R.5 - Prob. 79PECh. R.5 - Prob. 80PECh. R.5 - Prob. 81PECh. R.5 - Prob. 82PECh. R.5 - Prob. 83PECh. R.5 - Prob. 84PECh. R.5 - Prob. 85PECh. R.5 - Prob. 86PECh. R.5 - Prob. 87PECh. R.5 - Prob. 88PECh. R.5 - Prob. 89PECh. R.5 - Prob. 90PECh. R.5 - Prob. 91PECh. R.5 - Prob. 92PECh. R.5 - Prob. 93PECh. R.5 - Prob. 94PECh. R.5 - Prob. 95PECh. R.5 - Prob. 96PECh. R.5 - Prob. 97PECh. R.5 - Prob. 98PECh. R.5 - Prob. 99PECh. R.5 - Prob. 100PECh. R.5 - Prob. 101PECh. R.5 - Prob. 102PECh. R.5 - Prob. 103PECh. R.5 - Prob. 104PECh. R.5 - Prob. 105PECh. R.5 - Prob. 106PECh. R.5 - Prob. 107PECh. R.5 - Prob. 108PECh. R.5 - Prob. 109PECh. R.5 - Prob. 110PECh. R.5 - Prob. 111PECh. R.5 - Prob. 112PECh. R.5 - Prob. 113PECh. R.5 - Prob. 114PECh. R.5 - Prob. 115PECh. R.5 - Prob. 116PECh. R.5 - Prob. 1PRECh. R.5 - Prob. 2PRECh. R.5 - Prob. 3PRECh. R.5 - Prob. 4PRECh. R.5 - Prob. 5PRECh. R.5 - Prob. 6PRECh. R.5 - Prob. 7PRECh. R.5 - Prob. 8PRECh. R.5 - Prob. 9PRECh. R.5 - Prob. 10PRECh. R.5 - Prob. 11PRECh. R.5 - Prob. 12PRECh. R.5 - Prob. 13PRECh. R.5 - Prob. 14PRECh. R.6 - Prob. 1PECh. R.6 - Prob. 2PECh. R.6 - Prob. 3PECh. R.6 - Prob. 4PECh. R.6 - Prob. 5PECh. R.6 - Prob. 6PECh. R.6 - Prob. 7PECh. R.6 - Prob. 8PECh. R.6 - Prob. 9PECh. R.6 - Prob. 10PECh. R.6 - Prob. 11PECh. R.6 - Prob. 12PECh. R.6 - Prob. 13PECh. R.6 - Prob. 14PECh. R.6 - Prob. 15PECh. R.6 - Prob. 16PECh. R.6 - Prob. 17PECh. R.6 - Prob. 18PECh. 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R.6 - Prob. 116PECh. R.6 - Prob. 117PECh. R.6 - Prob. 118PECh. R.6 - Prob. 119PECh. R.6 - Prob. 120PECh. R.7 - For Exercises 18, factor completely. 30x365x225xCh. R.7 - Prob. 2PECh. R.7 - Prob. 3PECh. R.7 - Prob. 4PECh. R.7 - Prob. 5PECh. R.7 - Prob. 6PECh. R.7 - Prob. 7PECh. R.7 - Prob. 8PECh. R.7 - Prob. 9PECh. R.7 - Prob. 10PECh. R.7 - Prob. 11PECh. R.7 - Prob. 12PECh. R.7 - Prob. 13PECh. R.7 - Prob. 14PECh. R.7 - Prob. 15PECh. R.7 - Prob. 16PECh. R.7 - Prob. 17PECh. R.7 - Prob. 18PECh. R.7 - Prob. 19PECh. R.7 - Prob. 20PECh. R.7 - Prob. 21PECh. R.7 - Prob. 22PECh. R.7 - Prob. 23PECh. R.7 - Prob. 24PECh. R.7 - Prob. 25PECh. R.7 - Prob. 26PECh. R.7 - Prob. 27PECh. R.7 - Prob. 28PECh. R.7 - Prob. 29PECh. R.7 - Prob. 30PECh. R.7 - Prob. 31PECh. R.7 - Prob. 32PECh. R.7 - Prob. 33PECh. R.7 - Prob. 34PECh. R.7 - Prob. 35PECh. R.7 - Prob. 36PECh. R.7 - Prob. 37PECh. R.7 - Prob. 38PECh. R.7 - Prob. 39PECh. R.7 - Prob. 40PECh. R.7 - Prob. 41PECh. R.7 - Prob. 42PECh. R.7 - Prob. 43PECh. 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R.7 - The concentration C (in ng/mL) of a drug in the...Ch. R.7 - An object that is originally 35C is placed in a...Ch. R.7 - Prob. 95PECh. R.7 - Prob. 96PECh. R.7 - Prob. 97PECh. R.7 - Prob. 98PECh. R.7 - Prob. 99PECh. R.7 - Prob. 100PECh. R.7 - Prob. 101PECh. R.7 - Prob. 102PECh. R.7 - Prob. 103PECh. R.7 - Prob. 104PECh. R.7 - Prob. 105PECh. R.7 - Prob. 106PECh. R.7 - Prob. 107PECh. R.7 - Prob. 108PECh. R.7 - Prob. 109PECh. R.7 - Prob. 110PECh. R.7 - Prob. 111PECh. R.7 - Prob. 112PECh. R.7 - Prob. 113PECh. R.7 - Prob. 114PECh. R.7 - Prob. 115PECh. R.7 - Prob. 116PECh. R.7 - Prob. 117PECh. R.7 - Prob. 118PECh. R.7 - Prob. 119PECh. R.7 - Prob. 120PECh. R.7 - Prob. 121PECh. R.7 - Prob. 122PECh. R.7 - Prob. 123PECh. R.7 - Prob. 124PECh. R.7 - Prob. 125PECh. R.7 - Prob. 126PECh. R.7 - Prob. 127PECh. R.7 - Prob. 128PECh. R.7 - Prob. 129PECh. R.7 - Prob. 130PECh. R.7 - Prob. 131PECh. R.7 - Prob. 132PECh. R.7 - Prob. 133PECh. R.7 - Prob. 134PECh. R - Prob. 1RECh. R - Prob. 2RECh. 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R - Prob. 112RECh. R - Prob. 1TCh. R - Prob. 2TCh. R - Prob. 3TCh. R - Prob. 4TCh. R - Prob. 5TCh. R - Prob. 6TCh. R - Prob. 7TCh. R - Prob. 8TCh. R - Prob. 9TCh. R - Prob. 10TCh. R - Prob. 11TCh. R - Prob. 12TCh. R - Prob. 13TCh. R - Prob. 14TCh. R - Prob. 15TCh. R - Prob. 16TCh. R - Prob. 17TCh. R - Prob. 18TCh. R - Prob. 19TCh. R - Prob. 20TCh. R - Prob. 21TCh. R - Prob. 22TCh. R - Prob. 23TCh. R - Prob. 24TCh. R - Prob. 25TCh. R - Prob. 26TCh. R - Prob. 27TCh. R - Prob. 28TCh. R - Prob. 29TCh. R - Prob. 30TCh. R - Prob. 31TCh. R - Prob. 32TCh. R - Prob. 33TCh. R - Prob. 34TCh. R - Prob. 35TCh. R - Prob. 36TCh. R - Prob. 37TCh. R - Prob. 38TCh. R - Prob. 39TCh. R - Prob. 40TCh. R - Prob. 41TCh. R - Prob. 42T
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- In Exercises 126–129, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 126. Once a GCF is factored from 6y – 19y + 10y“, the remaining trinomial factor is prime. 127. One factor of 8y² – 51y + 18 is 8y – 3. 128. We can immediately tell that 6x? – 11xy – 10y? is prime because 11 is a prime number and the polynomial contains two variables. 129. A factor of 12x2 – 19xy + 5y² is 4x – y.arrow_forwardIn Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4arrow_forwardWhich property justifies (a+b)+0=(a+b)arrow_forward
- Remove the brackets for the expression below (x10 + x8 – 10) (3 x + 1)arrow_forwardFor questions 10 – 11, use the table to answer the questions. It is set up to multiply two polynomials. (show your work)arrow_forwardExplain how you can tell if the expressions7x – 4 and 6x – 4 – x are equivalent.arrow_forward
- For Exercises 81–100, make an appropriate substitution and solve the equation. (See Examples 10–11) 81. (2x + 5)? – 7(2x + 5) - 30 = 0 82. (Зх — 7)? - 6(3х — 7)-16 3D 0 83. (x + 2x)? – 18(r + 2x) = -45 84. (x + 3x)? - 86. (у? — 3)? — 9(y? — 3) — 52 %3D 0 14(x + 3x) = -40 85. (x + 2)2 + (x + 2) – 42 = 0 10 2 10 - 61 m - - 27 = 0 x + + 35 = 0 87. 88. - 121 x + т - m m 89. 2 + 2 + = 12 90. + 3 + 6 + 3 = -8 91. 5c2/5 11c/5 + 2 = 0 92. З3 d'/3 – 4 = 0 93. y'/2 – y/4 6 = 0 94. n'/2 + 6n/4 – 16 = 0 95. 9y 10y + 1 = 0 96. 100х-4 29x-2 + 1 = 0 | 97. 4t – 25 Vi = 0 98. 9m – 16Vm = 0 100. 392 + 16q -1 99. 30k-2 – 23k- + 2 = 0 + 5 = 0arrow_forwardIn Exercises 14–16, divide as indicated. 14. (12x*y³ + 16x?y³ – 10x²y²) ÷ (4x?y) 15. (9x – 3x2 – 3x + 4) ÷ (3x + 2) 16. (3x4 + 2x3 – 8x + 6) ÷ (x² – 1)arrow_forwardWhat is the result of 1+1?arrow_forward
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