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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Textbook Question
Chapter 1.6, Problem 22PE
Concept 2: Exponential Expressions
For Exercises 15-22, simplify the exponential expressions. (See Example 2.)
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2. Error Analysis. Writing an exponential function from a graph.
• Carefully indicate the errors you found. There may be more than one error.
• When you find an error, please explain why it is an error and how to correct it.
(-2, 832)
800-
Solution:
700-
g(x)= ab"
g(x)= ab"
600-
8(-2)= ab(-3)
8(0.5) = ab@s)
y=g(x)\
500-
832 = ab(-3)
26 = ab05)
%3D
400-
832b² = a
Substitute a = 832b² :
300-
200-
26 = 832b²b'@5)
Noot (0.5, 26)
26 = 8326(?x0.5)
26
z 0.03125
832
How do I write an exponential equation that passes through a given set of points? (The example given were (2, 16) and (6, 256))
Make Sense? In Exercises 146-149, determine whether each
statement makes sense or does not make sense, and explain your
reasoning.
():
a"
are like
b"
146. The properties (aby" = a"b" and
distributive properties of powers over multiplication and
division.
147. If 72 is raised to the third power, the result is a number
between 0 and 1.
148. There are many exponential expressions that are equal
to 25x", such as (5xº)², (5x³)(5x®), 25(x³)", and 5x°.
149. The expression
a"
is undefined because division by 0 is
undefined.
Chapter 1 Solutions
Beginning and Intermediate Algebra
Ch. 1.1 - Write the number as a product of prime factors.Ch. 1.1 - Write the number as a product of prime factors.Ch. 1.1 - Simplify to lowest terms 20 50Ch. 1.1 - Simplify to lowest terms 32 12Ch. 1.1 - Multiply.
5.
Ch. 1.1 - Multiply. 8 9 × 3 4Ch. 1.1 - Multiply. 4 5 × 5 4Ch. 1.1 - Multiply. 10 × 1 10Ch. 1.1 - Divide. 12 25 ÷ 8 15Ch. 1.1 - Divide. 12 25 ÷ 8 15
Ch. 1.1 - Add or subtract as indicated.
11.
Ch. 1.1 - Add or subtract as indicated. 5 8 − 1 8Ch. 1.1 - Find the LCM. 10 and 25.Ch. 1.1 - Write each of the fractions 5 8 and 5 12 as an...Ch. 1.1 - Subtract. 5 8 − 5 12Ch. 1.1 - Add. 2 3 + 1 2 + 5 6Ch. 1.1 - Subtract. 2 3 4 − 1 1 3Ch. 1.1 - Divide. 5 5 6 ÷ 3 2 3Ch. 1.1 - Vocabulary and Key Concepts a. A______ is the...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 2-10,...Ch. 1.1 - Concept 1: Basic Definitions
For Exercises 2-10,...Ch. 1.1 - Concept 1: Basic Definitions
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For Exercises 2-10,...Ch. 1.1 - Concept 1: Basic Definitions
For Exercises 2-10,...Ch. 1.1 - Concept 1: Basic Definitions
For Exercises 2-10,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 2-10,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 11-18,...Ch. 1.1 - Concept 1: Basic Definitions
For Exercises 11-18,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 11-18,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 11-18,...Ch. 1.1 - Concept 1: Basic Definitions
For Exercises 11-18,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 11-18,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 11-18,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 11-18,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 19-22,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 19-22,...Ch. 1.1 - Concept 1: Basic Definitions For Exercises 19-22,...Ch. 1.1 - Concept 1: Basic Definitions
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For Exercises...Ch. 1.1 - Concept 2: Prime Factorization For Exercises...Ch. 1.1 - Concept 2: Prime Factorization For Exercise 35-42,...Ch. 1.1 - Concept 2: Prime Factorization For Exercise 35-42,...Ch. 1.1 - Concept 2: Prime Factorization For Exercise 35-42,...Ch. 1.1 - Concept 2: Prime Factorization For Exercise 35-42,...Ch. 1.1 - Concept 2: Prime Factorization For Exercise 35-42,...Ch. 1.1 - Concept 2: Prime Factorization For Exercise 35-42,...Ch. 1.1 - Concept 2: Prime Factorization For Exercise 35-42,...Ch. 1.1 - Concept 2: Prime Factorization For Exercise 35-42,...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest Terms...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest Terms...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest Terms...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest Terms...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest Terms...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest Terms...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest Terms...Ch. 1.1 - Concept 3: Simplifying Fractions to Lowest Terms...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concepts 4-5: Multiplying and Dividing Fractions...Ch. 1.1 - Concept 6: Adding and Subtracting Fractions For...Ch. 1.1 - Concept 6: Adding and Subtracting Fractions For...Ch. 1.1 - Concept 6: Adding and Subtracting Fractions For...Ch. 1.1 - Concept 6: Adding and Subtracting Fractions For...Ch. 1.1 - Concept 6: Adding and Subtracting Fractions For...Ch. 1.1 - Concept 6: Adding and Subtracting Fractions For...Ch. 1.1 - Concept 6: Adding and Subtracting Fractions For...Ch. 1.1 - Concept 6: Adding and Subtracting Fractions
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104....Ch. 1.1 - Concept 7: Operations on Mixed Numbers For...Ch. 1.1 - Concept 7: Operations on Mixed Numbers
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For Exercises...Ch. 1.2 - Concept 3: Inequalities The LPGA Samsung World...Ch. 1.2 - Prob. 50PECh. 1.2 - Concept 4: Opposite of a Real Number
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105. For what numbers, , is ...Ch. 1.2 - Expanding Your Skills For what number, a , is | a...Ch. 1.3 - Evaluate. 4 3Ch. 1.3 - Evaluate. 2 4Ch. 1.3 - Evaluate.
3.
Ch. 1.3 - Evaluate. ( 1 ) 7Ch. 1.3 - Evaluate. 81Ch. 1.3 - Evaluate. 100Ch. 1.3 - Evaluate. 1Ch. 1.3 - Evaluate. 9 25Ch. 1.3 - Simplify the expressions. 14 − 3 ⋅ 2 + 3 2Ch. 1.3 - Simplify the expressions. 13 4 − 1 4 ( 10 − 2 )Ch. 1.3 - Simplify the expressions. 1 + 2 ⋅ 3 2 ÷ 6Ch. 1.3 - Simplify the expressions. | − 20 | − 20 − 4Ch. 1.3 - Simplify the expressions.
13.
Ch. 1.3 - Simplify the expression. 60 − 3 2 ⋅ 2 3 + 8 ÷ 2Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Translate each English phrase to an algebraic...Ch. 1.3 - Vocabulary and Key Concepts a. Fill in the blanks...Ch. 1.3 - Review Exercises Which of the following are...Ch. 1.3 - Review Exercises
3. Evaluate.
Ch. 1.3 - Review Exercises Evaluate. − | − 14 |Ch. 1.3 - Review Exercises Find the opposite of 19.Ch. 1.3 - Review Exercises
6. Find the opposite of –34.2
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2.
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3.
Ch. 1.4 - Add. − 5 + ( − 25 )Ch. 1.4 - Add. − 14.8 + ( − 9.7 )Ch. 1.4 - Add. − 1 2 + ( − 5 8 )Ch. 1.4 - Add. − 15 + 16Ch. 1.4 - Add. 6 + ( − 6 )Ch. 1.4 - Add. 27.3 + ( − 18.1 )Ch. 1.4 - Add. − 9 10 + 2 5Ch. 1.4 - Prob. 11SPCh. 1.4 - Write as an algebraic expression, and simplify the...Ch. 1.4 - Write as an algebraic expression, and simplify the...Ch. 1.4 - A stock was priced at $32.00 per share at the...Ch. 1.4 - Vocabulary and Key Concepts a. If a and b are both...Ch. 1.4 - Review Exercises Plot the points in set A on a...Ch. 1.4 - Review Exercises
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8. Evaluate the expressions.
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2.
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1.
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5.
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For Exercise...Ch. 1.7 - Expanding Your Skills For Exercises 127-134,...Ch. 1.7 - Expanding Your Skills
For Exercises 127-134,...Ch. 1.7 - Expanding Your Skills For Exercises 127-134,...Ch. 1.7 - Expanding Your Skills For Exercises 127-134,...Ch. 1.7 - Expanding Your Skills
For Exercises 127-134,...Ch. 1.7 - Expanding Your Skills For Exercises 127-134,...Ch. 1.7 - Expanding Your Skills For Exercises 127-134,...Ch. 1.7 - Expanding Your Skills For Exercises 127-134,...Ch. 1.7 - Expanding Your Skills As a small child in school,...Ch. 1 - For Exercises 1-4, identify as a proper or...Ch. 1 - For Exercises 1-4, identify as a proper or...Ch. 1 - For Exercises 1-4, identify as a proper or...Ch. 1 - For Exercises 1-4, identify as a proper or...Ch. 1 - Write 112 as a product of primes.Ch. 1 - Prob. 6RECh. 1 - For Exercises 7-12, perform the indicated...Ch. 1 - For Exercises 7-12, perform the indicated...Ch. 1 - For Exercises 7-12, perform the indicated...Ch. 1 - For Exercises 7-12, perform the indicated...Ch. 1 - For Exercises 7-12, perform the indicated...Ch. 1 - For Exercises 7-12, perform the indicated...Ch. 1 - The surface area of the Earth is approximately 510...Ch. 1 - 14. Given the set,
a. List the natural...Ch. 1 - For Exercises 15-18, determine the absolute...Ch. 1 - For Exercises 15-18, determine the absolute value....Ch. 1 - For Exercises 15-18, determine the absolute value....Ch. 1 - For Exercises 15-18, determine the absolute value....Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 19-27, identify whether the...Ch. 1 - For Exercises 28-31, evaluate each expression for...Ch. 1 - For Exercises 28-31, evaluate each expression for...Ch. 1 - For Exercises 28-31, evaluate each expression for...Ch. 1 - For Exercises 28-31, evaluate each expression for,...Ch. 1 - For Exercises 32-37, write each English phrase as...Ch. 1 - For Exercises 32-37, write each English phrase as...Ch. 1 - For Exercises 32-37, write each English phrase as...Ch. 1 - For Exercises 32-37, write each English phrase as...Ch. 1 - For Exercises 32-37, write each English phrase as...Ch. 1 - For Exercises 32-37, write each English phrase as...Ch. 1 - For Exercises 38-43, simplify the expressions. 6 3Ch. 1 - For Exercises 38-43, simplify the expressions.
39....Ch. 1 - For Exercises 38-43, simplify the expressions. 36Ch. 1 - For Exercises 38-43, simplify the expressions.
41....Ch. 1 - For Exercises 38-43, simplify the expressions. ( 1...Ch. 1 - For Exercises 38-43, simplify the expressions. ( 3...Ch. 1 - For Exercises 44-47, perform the indicated...Ch. 1 - For Exercises 44-47, perform the indicated...Ch. 1 - For Exercises 44-47, perform the indicated...Ch. 1 - For Exercises 44-47, perform the indicated...Ch. 1 - For Exercises 48-60, add. − 6 + 8Ch. 1 - For Exercises 48-60, add. 14 + ( − 10 )Ch. 1 - For Exercises 48-60, add. 21 + ( − 6 )Ch. 1 - For Exercises 48-60, add. − 12 + ( − 5 )Ch. 1 - For Exercises 48-60, add. 2 7 + ( − 1 9 )Ch. 1 - For Exercises 48-60, add. ( − 8 11 ) + ( 1 2 )Ch. 1 - For Exercises 48-60, add. ( − 1 10 ) + ( − 5 6 )Ch. 1 - For Exercises 48-60, add. ( − 5 2 ) + ( − 1 5 )Ch. 1 - For Exercises 48-60, add. − 8.17 + 6.02Ch. 1 - For Exercises 48-60, add. 2.9 + ( − 7.18 )Ch. 1 - For Exercises 48-60, add. 13 + ( − 2 ) + ( − 8 )Ch. 1 - For Exercises 48-60, add.
59.
Ch. 1 - For Exercises 48-60, add.
60.
Ch. 1 - Under what conditions will the expression a + b be...Ch. 1 - 62. Richard’s checkbook was overdrawn by $45 (that...Ch. 1 - For Exercises 63-75, subtract. 13 − 25Ch. 1 - For Exercises 63-75, subtract. 31 − ( − 2 )Ch. 1 - For Exercises 63-75, subtract. − 8 − ( − 7 )Ch. 1 - For Exercises 63-75, subtract. − 2 − 15Ch. 1 - For Exercises 63-75, subtract. ( − 7 9 ) − 5 6Ch. 1 - For Exercises 63-75, subtract. 1 3 − 9 8Ch. 1 - For Exercises 63-75, subtract. 7 − 8.2Ch. 1 - For Exercises 63-75, subtract. − 1.05 − 3.2Ch. 1 - Prob. 71RECh. 1 - Prob. 72RECh. 1 - Prob. 73RECh. 1 - Prob. 74RECh. 1 - Prob. 75RECh. 1 - Prob. 76RECh. 1 - For Exercises 77-81, write an algebraic expression...Ch. 1 - Prob. 78RECh. 1 - Prob. 79RECh. 1 - Prob. 80RECh. 1 - Prob. 81RECh. 1 - Prob. 82RECh. 1 - Prob. 83RECh. 1 - Prob. 84RECh. 1 - Prob. 85RECh. 1 - Prob. 86RECh. 1 - Prob. 87RECh. 1 - Prob. 88RECh. 1 - Prob. 89RECh. 1 - For Exercises 83-100, multiply or divide as...Ch. 1 - Prob. 91RECh. 1 - Prob. 92RECh. 1 - Prob. 93RECh. 1 - Prob. 94RECh. 1 - Prob. 95RECh. 1 - Prob. 96RECh. 1 - Prob. 97RECh. 1 - Prob. 98RECh. 1 - Prob. 99RECh. 1 - For Exercises 83-100, multiply or divide as...Ch. 1 - For Exercises 101-106, perform the indicated...Ch. 1 - Prob. 102RECh. 1 - Prob. 103RECh. 1 - Prob. 104RECh. 1 - Prob. 105RECh. 1 - Prob. 106RECh. 1 - Prob. 107RECh. 1 - Prob. 108RECh. 1 - For Exercises 107-110, evaluate each expression...Ch. 1 - Prob. 110RECh. 1 - Prob. 111RECh. 1 - Prob. 112RECh. 1 - Prob. 113RECh. 1 - Prob. 114RECh. 1 - Prob. 115RECh. 1 - Prob. 116RECh. 1 - Prob. 117RECh. 1 - Prob. 118RECh. 1 - Prob. 119RECh. 1 - Prob. 120RECh. 1 - Prob. 121RECh. 1 - Prob. 122RECh. 1 - Prob. 123RECh. 1 - Prob. 124RECh. 1 - Prob. 125RECh. 1 - Prob. 126RECh. 1 - Prob. 127RECh. 1 - Prob. 128RECh. 1 - Prob. 129RECh. 1 - Identify the coefficients for the terms listed in...Ch. 1 - Prob. 131RECh. 1 - Prob. 132RECh. 1 - Prob. 133RECh. 1 - Prob. 134RECh. 1 - Prob. 135RECh. 1 - Prob. 136RECh. 1 - Prob. 137RECh. 1 - Prob. 138RECh. 1 - Prob. 139RECh. 1 - Prob. 140RECh. 1 - 1. Simplify.
Ch. 1 - Add and subtract. 5 4 − 5 12 + 2 3Ch. 1 - 3. Divide.
Ch. 1 - Subtract. 4 1 4 − 1 7 8Ch. 1 - Is 0. 315 ¯ a rational number or an irrational...Ch. 1 - Use the definition of exponents to expand the...Ch. 1 - Plot the points on a number line: | 3 | , 0 , − 2...Ch. 1 - 8. Use the number line in Exercise 7 to identify...Ch. 1 - Identify the property that justifies each...Ch. 1 - 10. Write each expression as an English...Ch. 1 - Write the phrase as an algebraic expression: “The...Ch. 1 - For Exercises 12-14, write each English statement...Ch. 1 - For Exercises 12-14, write each English statement...Ch. 1 - For Exercises 12-14, write each English statement...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - For Exercises 15-29, perform the indicated...Ch. 1 - The average high temperature in January for Nova...Ch. 1 - 31. In the third quarter of a football game, a...Ch. 1 - For Exercises 32-36, simplify each expression. 3 k...Ch. 1 - For Exercises 32-36, simplify each expression. − 5...Ch. 1 - For Exercises 32-36, simplify each expression. 4 (...Ch. 1 - For Exercises 32-36, simplify each expression. − 3...Ch. 1 - For Exercises 32-36, simplify each expression. 1 2...Ch. 1 - For Exercises 37-40, evaluate each expression...Ch. 1 - For Exercises 37-40, evaluate each expression...Ch. 1 - For Exercises 37-40, evaluate each expression...Ch. 1 - For Exercises 37-40, evaluate each expression...
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