Beginning and Intermediate Algebra
4th Edition
ISBN: 9780073384511
Author: Julie Miller, Molly O'Neill, Nancy Hyde
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Question
Chapter 7.1, Problem 78PE
To determine
To calculate: The simplified form of the rational expression,
Expert Solution & Answer
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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
For questions 10 – 11, use the table to answer the questions. It is set up to multiply
two polynomials. (show your work)
In Exercises 133–136, factor each polynomial completely. Assume
that any variable exponents represent whole numbers.
133. y + x + x + y
134. 36x2" – y2n
135. x*
3n
12n
136. 4x2" + 20x"y" + 25y2m
Chapter 7 Solutions
Beginning and Intermediate Algebra
Ch. 7.1 - Evaluate the expression for the given values of x....Ch. 7.1 - Prob. 2SPCh. 7.1 - Evaluate the expression for the given values of x....Ch. 7.1 - Evaluate the expression for the given values of x....Ch. 7.1 - Prob. 5SPCh. 7.1 - Identify the restricted values.
6.
Ch. 7.1 - Identify the restricted values.
7.
Ch. 7.1 - Identify the restricted values.
8.
Ch. 7.1 - Given
9. Factor the numerator and denominator.
Ch. 7.1 - Prob. 10SP
Ch. 7.1 - Prob. 11SPCh. 7.1 - Prob. 12SPCh. 7.1 - Prob. 13SPCh. 7.1 - Prob. 14SPCh. 7.1 - Prob. 15SPCh. 7.1 - Prob. 1PECh. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - For Exercises 2–10, substitute the given number...Ch. 7.1 - 11. A bicyclist rides 24 mi against a wind and...Ch. 7.1 - Prob. 12PECh. 7.1 - For Exercises 13–24, identify the restricted...Ch. 7.1 - Prob. 14PECh. 7.1 - Prob. 15PECh. 7.1 - Prob. 16PECh. 7.1 - For Exercises 13–24, identify the restricted...Ch. 7.1 - Prob. 18PECh. 7.1 - For Exercises 13–24, identify the restricted...Ch. 7.1 - For Exercises 13–24, identify the restricted...Ch. 7.1 - Prob. 21PECh. 7.1 - Prob. 22PECh. 7.1 - For Exercises 13–24, identify the restricted...Ch. 7.1 - For Exercises 13–24, identify the restricted...Ch. 7.1 - 25. Construct a rational expression that is...Ch. 7.1 - Prob. 26PECh. 7.1 - Construct a rational expression that is undefined...Ch. 7.1 - Construct a rational expression that is undefined...Ch. 7.1 - Evaluate the expressions for x = − 1 . a. 3 x 2 −...Ch. 7.1 - Evaluate the expressions for x = 4 . a. ( x + 5 )...Ch. 7.1 - Prob. 31PECh. 7.1 - Prob. 32PECh. 7.1 - For Exercises 33–42,
a. Identify the restricted...Ch. 7.1 - For Exercises 33–42,
a. Identify the restricted...Ch. 7.1 - For Exercises 33–42, a. Identify the restricted...Ch. 7.1 - For Exercises 33–42, a. Identify the restricted...Ch. 7.1 - For Exercises 33–42, a. Identify the restricted...Ch. 7.1 - Prob. 38PECh. 7.1 - Prob. 39PECh. 7.1 - For Exercises 33–42,
a. Identify the restricted...Ch. 7.1 - For Exercises 33–42, a. Identify the restricted...Ch. 7.1 - Prob. 42PECh. 7.1 - Prob. 43PECh. 7.1 - Prob. 44PECh. 7.1 - Prob. 45PECh. 7.1 - Prob. 46PECh. 7.1 - Prob. 47PECh. 7.1 - Prob. 48PECh. 7.1 - Prob. 49PECh. 7.1 - Prob. 50PECh. 7.1 - Prob. 51PECh. 7.1 - Prob. 52PECh. 7.1 - Prob. 53PECh. 7.1 - Prob. 54PECh. 7.1 - Prob. 55PECh. 7.1 - Prob. 56PECh. 7.1 - Prob. 57PECh. 7.1 - For Exercises 43–72, simplify the rational...Ch. 7.1 - Prob. 59PECh. 7.1 - Prob. 60PECh. 7.1 - Prob. 61PECh. 7.1 - Prob. 62PECh. 7.1 - Prob. 63PECh. 7.1 - Prob. 64PECh. 7.1 - Prob. 65PECh. 7.1 - Prob. 66PECh. 7.1 - Prob. 67PECh. 7.1 - Prob. 68PECh. 7.1 - Prob. 69PECh. 7.1 - Prob. 70PECh. 7.1 - Prob. 71PECh. 7.1 - Prob. 72PECh. 7.1 - What is the relationship between x − 2 and 2 − x ?Ch. 7.1 - What is the relationship between w + p and − w − p...Ch. 7.1 - Prob. 75PECh. 7.1 - Prob. 76PECh. 7.1 - Prob. 77PECh. 7.1 - Prob. 78PECh. 7.1 - Prob. 79PECh. 7.1 - Prob. 80PECh. 7.1 - Prob. 81PECh. 7.1 - Prob. 82PECh. 7.1 - Prob. 83PECh. 7.1 - Prob. 84PECh. 7.1 - For Exercises 75–86, simplify the rational...Ch. 7.1 - Prob. 86PECh. 7.1 - Prob. 87PECh. 7.1 - Prob. 88PECh. 7.1 - Prob. 89PECh. 7.1 - Prob. 90PECh. 7.1 - Prob. 91PECh. 7.1 - Prob. 92PECh. 7.1 - Prob. 93PECh. 7.1 - Prob. 94PECh. 7.1 - Prob. 95PECh. 7.1 - Prob. 96PECh. 7.1 - For Exercises 87–100, simplify the rational...Ch. 7.1 - For Exercises 87–100, simplify the rational...Ch. 7.1 - For Exercises 87–100, simplify the rational...Ch. 7.1 - Prob. 100PECh. 7.1 - Prob. 101PECh. 7.1 - Prob. 102PECh. 7.1 - For Exercises 101–104, factor and simplify. z 2 −...Ch. 7.1 - Prob. 104PECh. 7.2 - Prob. 1SPCh. 7.2 - Multiply. 4 x − 8 x + 6 ⋅ x 2 + 6 x 2 xCh. 7.2 - Prob. 3SPCh. 7.2 - Divide. 7 y − 14 y + 1 ÷ y 2 + 2 y − 8 2 y + 2Ch. 7.2 - Prob. 5SPCh. 7.2 - Divide.
6.
Ch. 7.2 - Prob. 7SPCh. 7.2 - Prob. 1PECh. 7.2 - Prob. 2PECh. 7.2 - Prob. 3PECh. 7.2 - Prob. 4PECh. 7.2 - Prob. 5PECh. 7.2 - Prob. 6PECh. 7.2 - For Exercises 1–8, multiply or divide the...Ch. 7.2 - For Exercises 1–8, multiply or divide the...Ch. 7.2 - Prob. 9PECh. 7.2 - Prob. 10PECh. 7.2 - Prob. 11PECh. 7.2 - Prob. 12PECh. 7.2 - Prob. 13PECh. 7.2 - Prob. 14PECh. 7.2 - Prob. 15PECh. 7.2 - Prob. 16PECh. 7.2 - Prob. 17PECh. 7.2 - Prob. 18PECh. 7.2 - Prob. 19PECh. 7.2 - Prob. 20PECh. 7.2 - Prob. 21PECh. 7.2 - For Exercises 9–24, multiply. (See Examples...Ch. 7.2 - For Exercises 9–24, multiply. (See Examples...Ch. 7.2 - Prob. 24PECh. 7.2 - For Exercises 25–38, divide.(See Examples 4–6.) 4...Ch. 7.2 - Prob. 26PECh. 7.2 - Prob. 27PECh. 7.2 - Prob. 28PECh. 7.2 - Prob. 29PECh. 7.2 - Prob. 30PECh. 7.2 - For Exercises 25–38, divide.(See Examples 4–6.) 3...Ch. 7.2 - Prob. 32PECh. 7.2 - For Exercises 25–38, divide.(See Examples 4–6.) m...Ch. 7.2 - For Exercises 25–38, divide.(See Examples 4–6.) 9...Ch. 7.2 - For Exercises 25–38, divide.(See Examples 4–6.) 3...Ch. 7.2 - Prob. 36PECh. 7.2 - For Exercises 25–38, divide.(See Examples 4–6.) p...Ch. 7.2 - Prob. 38PECh. 7.2 - Prob. 39PECh. 7.2 - Prob. 40PECh. 7.2 - Prob. 41PECh. 7.2 - Prob. 42PECh. 7.2 - Prob. 43PECh. 7.2 - For Exercises 39–64, multiply or divide as...Ch. 7.2 - Prob. 45PECh. 7.2 - Prob. 46PECh. 7.2 - For Exercises 39–64, multiply or divide as...Ch. 7.2 - Prob. 48PECh. 7.2 - For Exercises 39–64, multiply or divide as...Ch. 7.2 - Prob. 50PECh. 7.2 - Prob. 51PECh. 7.2 - Prob. 52PECh. 7.2 - Prob. 53PECh. 7.2 - Prob. 54PECh. 7.2 - For Exercises 39–64, multiply or divide as...Ch. 7.2 - Prob. 56PECh. 7.2 - Prob. 57PECh. 7.2 - Prob. 58PECh. 7.2 - Prob. 59PECh. 7.2 - For Exercises 39–64, multiply or divide as...Ch. 7.2 - For Exercises 39–64, multiply or divide as...Ch. 7.2 - Prob. 62PECh. 7.2 - For Exercises 39–64, multiply or divide as...Ch. 7.2 - For Exercises 39–64, multiply or divide as...Ch. 7.2 - For Exercises 65–70, multiply or divide as...Ch. 7.2 - Prob. 66PECh. 7.2 - Prob. 67PECh. 7.2 - For Exercises 65–70, multiply or divide as...Ch. 7.2 - For Exercises 65–70, multiply or divide as...Ch. 7.2 - For Exercises 65–70, multiply or divide as...Ch. 7.3 - Find the LCD for each set of expressions. 3 8 ; 7...Ch. 7.3 - Prob. 2SPCh. 7.3 - Prob. 3SPCh. 7.3 - Prob. 4SPCh. 7.3 - For each pair of expressions, find the LCD, and...Ch. 7.3 - Prob. 6SPCh. 7.3 - Prob. 7SPCh. 7.3 - a. Find the LCD of the expression. 9 w − 2 ; 11 2...Ch. 7.3 - Prob. 1PECh. 7.3 - Evaluate the expression for the given values of x....Ch. 7.3 - For Exercises 3–4, identify the restricted values....Ch. 7.3 - Prob. 4PECh. 7.3 - For Exercises 5–8, multiply or divide as...Ch. 7.3 - Prob. 6PECh. 7.3 - For Exercises 5–8, multiply or divide as...Ch. 7.3 - Prob. 8PECh. 7.3 - Which of the expressions are equivalent to − 5 x −...Ch. 7.3 - Prob. 10PECh. 7.3 - Prob. 11PECh. 7.3 - Prob. 12PECh. 7.3 - Prob. 13PECh. 7.3 - For Exercises 13–30, identify the LCD. (See...Ch. 7.3 - Prob. 15PECh. 7.3 - Prob. 16PECh. 7.3 - Prob. 17PECh. 7.3 - Prob. 18PECh. 7.3 - Prob. 19PECh. 7.3 - Prob. 20PECh. 7.3 - Prob. 21PECh. 7.3 - Prob. 22PECh. 7.3 - Prob. 23PECh. 7.3 - Prob. 24PECh. 7.3 - Prob. 25PECh. 7.3 - Prob. 26PECh. 7.3 - Prob. 27PECh. 7.3 - Prob. 28PECh. 7.3 - Prob. 29PECh. 7.3 - Prob. 30PECh. 7.3 - Explain why a common denominator of b + 1 b − 1...Ch. 7.3 - Prob. 32PECh. 7.3 - Prob. 33PECh. 7.3 - Prob. 34PECh. 7.3 - Prob. 35PECh. 7.3 - Prob. 36PECh. 7.3 - Prob. 37PECh. 7.3 - Prob. 38PECh. 7.3 - Prob. 39PECh. 7.3 - Prob. 40PECh. 7.3 - Prob. 41PECh. 7.3 - Prob. 42PECh. 7.3 - For Exercises 33–56, find the LCD. Then convert...Ch. 7.3 - Prob. 44PECh. 7.3 - Prob. 45PECh. 7.3 - Prob. 46PECh. 7.3 - Prob. 47PECh. 7.3 - Prob. 48PECh. 7.3 - Prob. 49PECh. 7.3 - Prob. 50PECh. 7.3 - Prob. 51PECh. 7.3 - Prob. 52PECh. 7.3 - Prob. 53PECh. 7.3 - Prob. 54PECh. 7.3 - Prob. 55PECh. 7.3 - Prob. 56PECh. 7.3 - Prob. 57PECh. 7.3 - For Exercises 57–60, find the LCD. Then convert...Ch. 7.3 - Prob. 59PECh. 7.3 - For Exercises 57–60, find the LCD. Then convert...Ch. 7.4 - Add or subtract as indicated. 3 14 + 4 14Ch. 7.4 - Add or subtract as indicated. 2 7 d − 9 7 dCh. 7.4 - Add or subtract as indicated.
3.
Ch. 7.4 - Add or subtract as indicated. 4 t − 9 2 t + 2 − t...Ch. 7.4 - Subtract.
5.
Ch. 7.4 - Subtract. t 12 − t − 2 4Ch. 7.4 - Add.
7.
Ch. 7.4 - Subtract. 2 y y − 1 − 1 y − 2 y + 1 y 2 − yCh. 7.4 - Add. 3 p − 8 + 1 8 − pCh. 7.4 - Write the English phrase as a mathematical...Ch. 7.4 - For the rational expression x 2 − 4 x − 5 x 2 − 7...Ch. 7.4 - For the rational expression a 2 + a − 2 a 2 − 4 a...Ch. 7.4 - For Exercises 3–4, multiply or divide as...Ch. 7.4 - For Exercises 3–4, multiply or divide as...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 5–26, add or subtract the...Ch. 7.4 - For Exercises 27–28, find an expression that...Ch. 7.4 - For Exercises 27–28, find an expression that...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 29–70, add or subtract the...Ch. 7.4 - For Exercises 71–72, find an expression that...Ch. 7.4 - For Exercises 71–72, find an expression that...Ch. 7.4 - Let a number be represented by n. Write the...Ch. 7.4 - Write the reciprocal of the sum of a number and 6.Ch. 7.4 - 75. Write the quotient of 5 and the sum of a...Ch. 7.4 - Write the quotient of 12 and p.Ch. 7.4 - Prob. 77PECh. 7.4 - Prob. 78PECh. 7.4 - Prob. 79PECh. 7.4 - Prob. 80PECh. 7.4 - For Exercises 81–86, perform the indicated...Ch. 7.4 - For Exercises 81–86, perform the indicated...Ch. 7.4 - For Exercises 81–86, perform the indicated...Ch. 7.4 - For Exercises 81–86, perform the indicated...Ch. 7.4 - For Exercises 81–86, perform the indicated...Ch. 7.4 - For Exercises 81–86, perform the indicated...Ch. 7.4 - For Exercises 87–90, simplify by applying the...Ch. 7.4 - For Exercises 87–90, simplify by applying the...Ch. 7.4 - For Exercises 87–90, simplify by applying the...Ch. 7.4 - For Exercises 87–90, simplify by applying the...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.4 - We have learned how to simplify, add, subtract,...Ch. 7.5 - Simplify the expression. 6 x y 9 2 yCh. 7.5 - Simplify the expression. 3 4 − 1 6 + 2 1 3 + 1 2Ch. 7.5 - Simplify the expression. 1 − 1 p p w + w pCh. 7.5 - Simplify the expression. 1 − 3 5 1 4 − 7 10 + 1Ch. 7.5 - Simplify the expression. z 3 − 3 z 1 + 3 zCh. 7.5 - Simplify the expression. 4 p − 3 + 1 1 + 2 p − 3Ch. 7.5 - 1. A _____________ fraction is an expression...Ch. 7.5 - For Exercises 2–3, simplify the expression.
2.
Ch. 7.5 - For Exercises 2–3, simplify the expression. a + 5...Ch. 7.5 - For Exercises 4–6, perform the indicated...Ch. 7.5 - For Exercises 4–6, perform the indicated...Ch. 7.5 - For Exercises 4–6, perform the indicated...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - For Exercises 7–34, simplify the complex fractions...Ch. 7.5 - Prob. 35PECh. 7.5 - Prob. 36PECh. 7.5 - Prob. 37PECh. 7.5 - Prob. 38PECh. 7.5 - Prob. 39PECh. 7.5 - Prob. 40PECh. 7.5 - Prob. 41PECh. 7.5 - Prob. 42PECh. 7.5 - Prob. 43PECh. 7.5 - For Exercises 41–50, simplify the complex...Ch. 7.5 - Prob. 45PECh. 7.5 - Prob. 46PECh. 7.5 - Prob. 47PECh. 7.5 - Prob. 48PECh. 7.5 - Prob. 49PECh. 7.5 - Prob. 50PECh. 7.5 - Prob. 51PECh. 7.5 - Prob. 52PECh. 7.6 - Prob. 1SPCh. 7.6 - Prob. 2SPCh. 7.6 - Prob. 3SPCh. 7.6 - Prob. 4SPCh. 7.6 - Solve the equation. − 8 x 2 + 6 x + 8 + x x + 4 =...Ch. 7.6 - Prob. 6SPCh. 7.6 - Prob. 7SPCh. 7.6 - Solve the formula for x. y = 3 x − 2Ch. 7.6 - Prob. 9SPCh. 7.6 - Prob. 1PECh. 7.6 - Prob. 2PECh. 7.6 - Prob. 3PECh. 7.6 - Prob. 4PECh. 7.6 - Prob. 5PECh. 7.6 - Prob. 6PECh. 7.6 - Prob. 7PECh. 7.6 - Prob. 8PECh. 7.6 - Prob. 9PECh. 7.6 - Prob. 10PECh. 7.6 - Prob. 11PECh. 7.6 - Prob. 12PECh. 7.6 - Prob. 13PECh. 7.6 - Prob. 14PECh. 7.6 - Prob. 15PECh. 7.6 - Identify the LCD of all the denominators in the...Ch. 7.6 - Prob. 17PECh. 7.6 - Prob. 18PECh. 7.6 - Prob. 19PECh. 7.6 - Prob. 20PECh. 7.6 - Prob. 21PECh. 7.6 - Prob. 22PECh. 7.6 - Prob. 23PECh. 7.6 - Prob. 24PECh. 7.6 - Prob. 25PECh. 7.6 - For Exercises 17–46, solve the equations. (See...Ch. 7.6 - Prob. 27PECh. 7.6 - Prob. 28PECh. 7.6 - Prob. 29PECh. 7.6 - Prob. 30PECh. 7.6 - Prob. 31PECh. 7.6 - Prob. 32PECh. 7.6 - Prob. 33PECh. 7.6 - Prob. 34PECh. 7.6 - Prob. 35PECh. 7.6 - Prob. 36PECh. 7.6 - Prob. 37PECh. 7.6 - Prob. 38PECh. 7.6 - Prob. 39PECh. 7.6 - Prob. 40PECh. 7.6 - Prob. 41PECh. 7.6 - Prob. 42PECh. 7.6 - Prob. 43PECh. 7.6 - For Exercises 17–46, solve the equations. (See...Ch. 7.6 - Prob. 45PECh. 7.6 - Prob. 46PECh. 7.6 - Prob. 47PECh. 7.6 - Prob. 48PECh. 7.6 - Prob. 49PECh. 7.6 - Prob. 50PECh. 7.6 - Prob. 51PECh. 7.6 - Prob. 52PECh. 7.6 - Prob. 53PECh. 7.6 - Prob. 54PECh. 7.6 - Prob. 55PECh. 7.6 - Prob. 56PECh. 7.6 - Prob. 57PECh. 7.6 - Prob. 58PECh. 7.6 - Prob. 59PECh. 7.6 - Prob. 60PECh. 7.6 - Prob. 61PECh. 7.6 - Prob. 62PECh. 7.6 - Prob. 63PECh. 7.6 - Prob. 64PECh. 7.6 - Prob. 65PECh. 7.6 - Prob. 66PECh. 7.6 - For Exercises 51–68, solve for the indicated...Ch. 7.6 - For Exercises 51–68, solve for the indicated...Ch. 7.6 - Prob. 1PRECh. 7.6 - Prob. 2PRECh. 7.6 - Prob. 3PRECh. 7.6 - Prob. 4PRECh. 7.6 - Prob. 5PRECh. 7.6 - Prob. 6PRECh. 7.6 - Prob. 7PRECh. 7.6 - Prob. 8PRECh. 7.6 - Prob. 9PRECh. 7.6 - Prob. 10PRECh. 7.6 - Prob. 11PRECh. 7.6 - Prob. 12PRECh. 7.6 - Prob. 13PRECh. 7.6 - Prob. 14PRECh. 7.6 - Prob. 15PRECh. 7.6 - Prob. 16PRECh. 7.6 - Prob. 17PRECh. 7.6 - Prob. 18PRECh. 7.6 - Prob. 19PRECh. 7.6 - Prob. 20PRECh. 7.7 - Solve the proportion.
1.
Ch. 7.7 - Prob. 2SPCh. 7.7 - Prob. 3SPCh. 7.7 - The Sun casts a 3.2-ft shadow of a 6- ft man. At...Ch. 7.7 - Alison paddles her kayak in a river where the...Ch. 7.7 - Prob. 6SPCh. 7.7 - The computer at a bank can process and prepare the...Ch. 7.7 - Prob. 1PECh. 7.7 - For Exercises 2–7, determine whether each of the...Ch. 7.7 - For Exercises 2–7, determine whether each of the...Ch. 7.7 - Prob. 4PECh. 7.7 - Prob. 5PECh. 7.7 - For Exercises 2–7, determine whether each of the...Ch. 7.7 - Prob. 7PECh. 7.7 - For Exercises 2–7, determine whether each of the...Ch. 7.7 - For Exercises 9–22, solve the proportions. (See...Ch. 7.7 - Prob. 10PECh. 7.7 - Prob. 11PECh. 7.7 - For Exercises 9–22, solve the proportions. (See...Ch. 7.7 - Prob. 13PECh. 7.7 - Prob. 14PECh. 7.7 - For Exercises 9–22, solve the proportions. (See...Ch. 7.7 - Prob. 16PECh. 7.7 - Prob. 17PECh. 7.7 - Prob. 18PECh. 7.7 - For Exercises 9–22, solve the proportions. (See...Ch. 7.7 - Prob. 20PECh. 7.7 - Prob. 21PECh. 7.7 - Prob. 22PECh. 7.7 - Charles’ law describes the relationship between...Ch. 7.7 - Prob. 24PECh. 7.7 - For Exercises 2532, solve using proportions. Toni...Ch. 7.7 - For Exercises 25–32, solve using proportions. Tim...Ch. 7.7 - For Exercises 25–32, solve using proportions. It...Ch. 7.7 - For Exercises 25–32, solve using proportions....Ch. 7.7 - For Exercises 25–32, solve using...Ch. 7.7 - For Exercises 25–32, solve using...Ch. 7.7 - For Exercises 25–32, solve using...Ch. 7.7 - A map has a scale of 50 mi/in. If two cities...Ch. 7.7 - Prob. 33PECh. 7.7 - Prob. 34PECh. 7.7 - Prob. 35PECh. 7.7 - Prob. 36PECh. 7.7 - Prob. 37PECh. 7.7 - Prob. 38PECh. 7.7 - 39. A 6-ft-tall man standing 54 ft from a light...Ch. 7.7 - Prob. 40PECh. 7.7 - A boat travels 54 mi upstream against the current...Ch. 7.7 - A plane flies 630 mi with the wind in the same...Ch. 7.7 - Prob. 43PECh. 7.7 - A fishing boat travels 9 mi downstream with the...Ch. 7.7 - Prob. 45PECh. 7.7 - Devon can cross-country ski 5 km/hr faster than...Ch. 7.7 - 47. Floyd can walk 2 mph faster than his wife,...Ch. 7.7 - 48. Janine bikes 3 mph faster than her sister,...Ch. 7.7 - Prob. 49PECh. 7.7 - Amber jogs 10 km in 3 4 hr less time than she can...Ch. 7.7 - Prob. 51PECh. 7.7 - The CUT-IT-OUT lawn mowing company consists of two...Ch. 7.7 - Prob. 53PECh. 7.7 - Prob. 54PECh. 7 - For the rational expression t − 2 t + 9 a....Ch. 7 - Prob. 2RECh. 7 - Which of the rational expressions are equal to...Ch. 7 - For Exercises 4–13, identify the restricted...Ch. 7 - For Exercises 4–13, identify the restricted...Ch. 7 - For Exercises 4–13, identify the restricted...Ch. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - For Exercises 4–13, identify the restricted...Ch. 7 - Prob. 12RECh. 7 - For Exercises 4–13, identify the restricted...Ch. 7 - Prob. 14RECh. 7 - For Exercises 14–27, multiply or divide as...Ch. 7 - Prob. 16RECh. 7 - For Exercises 14–27, multiply or divide as...Ch. 7 - Prob. 18RECh. 7 - For Exercises 14–27, multiply or divide as...Ch. 7 - For Exercises 14–27, multiply or divide as...Ch. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - For Exercises 32–37, write each fraction as an...Ch. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - For Exercises 38–49, add or subtract as...Ch. 7 - For Exercises 38–49, add or subtract as indicated....Ch. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - Prob. 60RECh. 7 - Prob. 61RECh. 7 - Prob. 62RECh. 7 - Prob. 63RECh. 7 - Prob. 64RECh. 7 - Prob. 65RECh. 7 - Prob. 66RECh. 7 - Prob. 67RECh. 7 - Prob. 68RECh. 7 - For Exercises 69–70, solve the proportions. m + 2...Ch. 7 - For Exercises 69–70, solve the proportions.
70.
Ch. 7 - 71. A bag of popcorn states that it contains 4 g...Ch. 7 - Bud goes 10 mph faster on his motorcycle than Ed...Ch. 7 - Prob. 73RECh. 7 - Prob. 74RECh. 7 - For Exercises 1-2, a. Identify the restricted...Ch. 7 - For Exercises 1-2, a. Identify the restricted...Ch. 7 - Identify the rational expressions that are equal...Ch. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - For Exercises 5–11, perform the indicated...Ch. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - 21. Two printers working together can complete a...Ch. 7 - Prob. 22TCh. 7 - Prob. 1CRECh. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - Factor completely. 10 c d + 5 d − 6 c − 3Ch. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Prob. 17CRECh. 7 - Prob. 18CRECh. 7 - Prob. 19CRECh. 7 - A group of teenagers buys 2 large popcorns and 6...
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- In Exercises 132–137, factor each polynomial. Assume that all variable exponents represent whole numbers. 132. 9x2" + x" – 8 133. 4x2n – 9x" + 5 134. an+2 – a"+2 – 6a? 135. b2n+2 + 3b"+2 10b2 136. 3c"+2 10c"+1 + 3c" 137. 2d"+2 5d"+1 + 3d"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_forwardRationalize the numerator of x+10 – 100 Paragraph A.arrow_forward
- In Exercises 115–116, express each polynomial in standard form-that is, in descending powers of x. a. Write a polynomial that represents the area of the large rectangle. b. Write a polynomial that represents the area of the small, unshaded rectangle. c. Write a polynomial that represents the area of the shaded blue region. 115. -x + 9- -x +5- x + 3 x + 15 -x + 4- x + 2 116. x + 3 x + 1arrow_forwardMake Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.arrow_forwardFor 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_forward
- For Exercises 17-18, a. Divide the polynomials. b. Identify the dividend, divisor, quotient, and remainder. 17. (-2x* + x + 4x – 1) ÷ (x² + x - 3) 3x – 2x – 15x + 22x – 8 18. - 3x 2arrow_forwardRemove the brackets for the expression below (x10 + x8 – 10) (3 x + 1)arrow_forward2- x 8x* 4 5 2. 2.arrow_forward
- A rational expression consists of a/an divided by a nonzeroarrow_forward5. a) Simplify the following rational expression. Clearly show all your work! 9-x² 2x² - 7x + 3 State the Mathematical Domain of this expression: Explain what the domain means and why it is necessary to state this?arrow_forwardWhat is the result of 1+1?arrow_forward
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