Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
10th Edition
ISBN: 9781285464640
Author: Soo T. Tan
Publisher: Brooks Cole
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Chapter 1.2, Problem 39E
To determine
The rationalization of numerator of expression
1 + x + 2 x + 2
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Students have asked these similar questions
Make 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.
In Exercises 102–103, perform the indicated operations. Assume
that exponents represent whole numbers.
102. (x2n – 3x" + 5) + (4x2" – 3x" – 4) – (2x2 – 5x" – 3)
103. (y3n – 7y2n + 3) – (-3y3n – 2y2" – 1) + (6y3n – yn + 1)
104. From what polynomial must 4x? + 2x – 3 be subtracted to
obtain 5x? – 5x + 8?
In Exercises 33–37, simplify each exponential expression.
33. (-2r)(7x-10)
34. (-&rSy)(-5x?y*)
-10xty
35.
-40x-2y6
36. (4x-Sy?)-3
-6xy
37.
-2
2x*y
3,,-4
Chapter 1 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Ch. 1.1 - (3, 6)Ch. 1.1 - (2, 5]Ch. 1.1 - [1, 4)Ch. 1.1 - [65,-12]Ch. 1.1 - In Exercises 1-6, show the interval on a number...Ch. 1.1 - In Exercises 1-6, show the interval on a number...Ch. 1.1 - 272/3Ch. 1.1 - Prob. 8ECh. 1.1 - (13)0Ch. 1.1 - (71/2)4
Ch. 1.1 - [(18)1/3]2Ch. 1.1 - [(13)2]3Ch. 1.1 - (757272)1Ch. 1.1 - (916)1/2Ch. 1.1 - (1252/3)1/2Ch. 1.1 - 263Ch. 1.1 - 328Ch. 1.1 - 8273Ch. 1.1 - 165/8161/2167/8Ch. 1.1 - (939592)1/2Ch. 1.1 - In Exercises 722, evaluate the expression. 21....Ch. 1.1 - In Exercises 7-22, evaluate the expression. 22....Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - Prob. 24ECh. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - In Exercises 23-32, determine whether the...Ch. 1.1 - Prob. 28ECh. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - In Exercises 33-38, rewrite the expression using...Ch. 1.1 - In Exercises 33-38, rewrite the expression using...Ch. 1.1 - In Exercises 33-38, rewrite the expression using...Ch. 1.1 - Prob. 37ECh. 1.1 - Prob. 38ECh. 1.1 - Prob. 39ECh. 1.1 - In Exercises 39-54, simplify the expression....Ch. 1.1 - Prob. 41ECh. 1.1 - In Exercises 39-54, simplify the expression....Ch. 1.1 - In Exercises 39-54, simplify the expression....Ch. 1.1 - (x3y2z2)2Ch. 1.1 - Prob. 45ECh. 1.1 - (exex2)1/2Ch. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Prob. 49ECh. 1.1 - Prob. 50ECh. 1.1 - 16x4y84Ch. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Prob. 56ECh. 1.1 - 93/4Ch. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.1 - 10003/2Ch. 1.1 - Prob. 61ECh. 1.1 - Prob. 62ECh. 1.1 - Prob. 63ECh. 1.1 - Prob. 64ECh. 1.1 - Prob. 65ECh. 1.1 - In Exercises 63-68, rationalize the denominator....Ch. 1.1 - Prob. 67ECh. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Prob. 70ECh. 1.1 - Prob. 71ECh. 1.1 - Prob. 72ECh. 1.1 - Prob. 73ECh. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.1 - In Exercises 75-98, perform the indicated...Ch. 1.1 - Prob. 77ECh. 1.1 - Prob. 78ECh. 1.1 - Prob. 79ECh. 1.1 - In Exercises 75-98, perform the indicated...Ch. 1.1 - Prob. 81ECh. 1.1 - Prob. 82ECh. 1.1 - Prob. 83ECh. 1.1 - In Exercises 75-98, perform the indicated...Ch. 1.1 - Prob. 85ECh. 1.1 - Prob. 86ECh. 1.1 - Prob. 87ECh. 1.1 - Prob. 88ECh. 1.1 - Prob. 89ECh. 1.1 - Prob. 90ECh. 1.1 - Prob. 91ECh. 1.1 - Prob. 92ECh. 1.1 - In Exercises 75-98, perform the indicated...Ch. 1.1 - Prob. 94ECh. 1.1 - In Exercises 75-98, perform the indicated...Ch. 1.1 - Prob. 96ECh. 1.1 - Prob. 97ECh. 1.1 - Prob. 98ECh. 1.1 - Prob. 99ECh. 1.1 - Prob. 100ECh. 1.1 - In Exercises 99106, factor out the greatest common...Ch. 1.1 - In Exercises 99106, factor out the greatest common...Ch. 1.1 - Prob. 103ECh. 1.1 - Prob. 104ECh. 1.1 - In Exercises 99-106, factor out the greatest...Ch. 1.1 - Prob. 106ECh. 1.1 - Prob. 107ECh. 1.1 - Prob. 108ECh. 1.1 - Prob. 109ECh. 1.1 - Prob. 110ECh. 1.1 - Prob. 111ECh. 1.1 - In Exercises 107-120, factor each expression...Ch. 1.1 - Prob. 113ECh. 1.1 - Prob. 114ECh. 1.1 - Prob. 115ECh. 1.1 - In Exercises 107-120, factor each expression...Ch. 1.1 - Prob. 117ECh. 1.1 - In Exercises 107-120, factor each expression...Ch. 1.1 - Prob. 119ECh. 1.1 - Prob. 120ECh. 1.1 - Prob. 121ECh. 1.1 - Prob. 122ECh. 1.1 - Prob. 123ECh. 1.1 - Prob. 124ECh. 1.1 - Prob. 125ECh. 1.1 - Prob. 126ECh. 1.1 - Prob. 127ECh. 1.1 - Prob. 128ECh. 1.1 - Prob. 129ECh. 1.1 - Prob. 130ECh. 1.1 - Prob. 131ECh. 1.1 - Prob. 132ECh. 1.1 - Prob. 133ECh. 1.1 - Prob. 134ECh. 1.1 - Prob. 135ECh. 1.1 - solve the equation by using the quadratic formula....Ch. 1.1 - Prob. 137ECh. 1.1 - Prob. 138ECh. 1.1 - Prob. 139ECh. 1.1 - Prob. 140ECh. 1.1 - Revenue of Two Gas Stations Jake owns two gas...Ch. 1.1 - REVENUE of Two Gas Stations Refer to Exercise 141....Ch. 1.1 - Prob. 143ECh. 1.1 - Worker Efficiency An efficiency study conducted by...Ch. 1.1 - Revenue of a Company Williams Commuter Air Service...Ch. 1.1 - Prob. 146ECh. 1.1 - , determine whether the statement is true or...Ch. 1.1 - Prob. 148ECh. 1.2 - In Exercises 1-6, simplify the expression. 1....Ch. 1.2 - Prob. 2ECh. 1.2 - Prob. 3ECh. 1.2 - Prob. 4ECh. 1.2 - Prob. 5ECh. 1.2 - Prob. 6ECh. 1.2 - In Exercises 7-28, perform the indicated...Ch. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - In Exercises 7-28, perform the indicated...Ch. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - In Exercises 7-28, perform the indicated...Ch. 1.2 - In Exercises 7-28, perform the indicated...Ch. 1.2 - In Exercises 7-28, perform the indicated...Ch. 1.2 - In Exercises 7-28, perform the indicated...Ch. 1.2 - Prob. 25ECh. 1.2 - Prob. 26ECh. 1.2 - Prob. 27ECh. 1.2 - Prob. 28ECh. 1.2 - Prob. 29ECh. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Prob. 33ECh. 1.2 - Prob. 34ECh. 1.2 - Prob. 35ECh. 1.2 - Prob. 36ECh. 1.2 - Prob. 37ECh. 1.2 - Prob. 38ECh. 1.2 - Prob. 39ECh. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - In Exercises 4562, find the values of x that...Ch. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 - Prob. 53ECh. 1.2 - Prob. 54ECh. 1.2 - Prob. 55ECh. 1.2 - Prob. 56ECh. 1.2 - Prob. 57ECh. 1.2 - Prob. 58ECh. 1.2 - Prob. 59ECh. 1.2 - Prob. 60ECh. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Prob. 64ECh. 1.2 - Prob. 65ECh. 1.2 - Prob. 66ECh. 1.2 - Prob. 67ECh. 1.2 - Prob. 68ECh. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - Prob. 72ECh. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - Prob. 75ECh. 1.2 - Prob. 76ECh. 1.2 - Prob. 77ECh. 1.2 - Prob. 78ECh. 1.2 - Prob. 79ECh. 1.2 - Prob. 80ECh. 1.2 - Prob. 81ECh. 1.2 - Prob. 82ECh. 1.2 - Prob. 83ECh. 1.2 - Prob. 84ECh. 1.2 - Driving Range of a Car An advertisement for a...Ch. 1.2 - Find the minimum cost C (in dollars), given that...Ch. 1.2 - Find the maximum profit P (in dollars) given that...Ch. 1.2 - Celsius and Fahrenheit Temperatures The...Ch. 1.2 - Meeting Sales Targets A salesmans monthly...Ch. 1.2 - Markup on a Car The markup on a used car was at...Ch. 1.2 - Prob. 91ECh. 1.2 - Prob. 92ECh. 1.2 - Meeting Profit Goals A manufacturer of a certain...Ch. 1.2 - Concentration of a Drug in the Bloodstream The...Ch. 1.2 - Prob. 95ECh. 1.2 - Average Speed of a Vehicle The average speed of a...Ch. 1.2 - Air Pollution Nitrogen dioxide is a brown gas that...Ch. 1.2 - In Exercises 98-102, determine whether the...Ch. 1.2 - Prob. 99ECh. 1.2 - Prob. 100ECh. 1.2 - Prob. 101ECh. 1.2 - Prob. 102ECh. 1.3 - What can you say about the signs of a and b if the...Ch. 1.3 - Refer to the following figure. a. Given the point...Ch. 1.3 - Prob. 1ECh. 1.3 - Prob. 2ECh. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - Prob. 5ECh. 1.3 - In Exercises 1-6, refer to the following figure,...Ch. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - Prob. 9ECh. 1.3 - Prob. 10ECh. 1.3 - In Exercises 7-12, refer to the following figure....Ch. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Prob. 14ECh. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - In Exercises 13-20, sketch a set of coordinate...Ch. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - Prob. 21ECh. 1.3 - Prob. 22ECh. 1.3 - In Exercises 21-24, find the distance between the...Ch. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Prob. 26ECh. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Prob. 29ECh. 1.3 - Prob. 30ECh. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - tracking a Criminal with GPS After obtaining a...Ch. 1.3 - Planning a Grand Tour A grand tour of four cities...Ch. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Minimizing Shipping Costs for a Fleet of Autos...Ch. 1.3 - Cost of Laying Cable In the following diagram, S...Ch. 1.3 - Purchasing an HDTV Antenna Ivan wishes to...Ch. 1.3 - Distance Between Two Cruise Ships Two cruise ships...Ch. 1.3 - Distance Between Two Cargo Ships Ship A leaves...Ch. 1.3 - Watching a Rocket Launch At a distance of 4000 ft...Ch. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - Prob. 49ECh. 1.3 - Prob. 50ECh. 1.3 - Prob. 51ECh. 1.3 - Prob. 52ECh. 1.4 - What is the slope of a nonvertical line? What can...Ch. 1.4 - Prob. 2CQCh. 1.4 - Prob. 3CQCh. 1.4 - Prob. 4CQCh. 1.4 - Prob. 1ECh. 1.4 - Prob. 2ECh. 1.4 - Prob. 3ECh. 1.4 - Prob. 4ECh. 1.4 - Prob. 5ECh. 1.4 - Prob. 6ECh. 1.4 - In Exercises 7-10, find the slope of the line...Ch. 1.4 - Prob. 8ECh. 1.4 - Prob. 9ECh. 1.4 - Prob. 10ECh. 1.4 - Prob. 11ECh. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - In Exercises 11-16, find the slope of the line...Ch. 1.4 - Prob. 14ECh. 1.4 - Prob. 15ECh. 1.4 - Prob. 16ECh. 1.4 - Prob. 17ECh. 1.4 - Prob. 18ECh. 1.4 - Prob. 19ECh. 1.4 - Prob. 20ECh. 1.4 - Prob. 21ECh. 1.4 - Prob. 22ECh. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - Prob. 25ECh. 1.4 - Find an equation of the vertical line that passes...Ch. 1.4 - Prob. 27ECh. 1.4 - Prob. 28ECh. 1.4 - Prob. 29ECh. 1.4 - Prob. 30ECh. 1.4 - Prob. 31ECh. 1.4 - In Exercises 31-34, find an equation of the line...Ch. 1.4 - Prob. 33ECh. 1.4 - Prob. 34ECh. 1.4 - Prob. 35ECh. 1.4 - Prob. 36ECh. 1.4 - Prob. 37ECh. 1.4 - In Exercises 35-38, find an equation of the line...Ch. 1.4 - Prob. 39ECh. 1.4 - In Exercises 39-44, write the equation in the...Ch. 1.4 - In Exercises 39-44, write the equation in the...Ch. 1.4 - Prob. 42ECh. 1.4 - Prob. 43ECh. 1.4 - Prob. 44ECh. 1.4 - Find an equation of the line that passes through...Ch. 1.4 - Find an equation of the line that passes through...Ch. 1.4 - Prob. 47ECh. 1.4 - Prob. 48ECh. 1.4 - Prob. 49ECh. 1.4 - Prob. 50ECh. 1.4 - Prob. 51ECh. 1.4 - Prob. 52ECh. 1.4 - Prob. 53ECh. 1.4 - Prob. 54ECh. 1.4 - Given that the point P(3, 5) lies on the line kx +...Ch. 1.4 - Prob. 56ECh. 1.4 - Prob. 57ECh. 1.4 - Prob. 58ECh. 1.4 - Prob. 59ECh. 1.4 - Prob. 60ECh. 1.4 - Prob. 61ECh. 1.4 - Prob. 62ECh. 1.4 - Prob. 63ECh. 1.4 - Prob. 64ECh. 1.4 - Prob. 65ECh. 1.4 - Prob. 66ECh. 1.4 - Prob. 67ECh. 1.4 - Prob. 68ECh. 1.4 - Prob. 69ECh. 1.4 - Prob. 70ECh. 1.4 - Prob. 71ECh. 1.4 - TEMPERATURE Conversion The relationship between...Ch. 1.4 - NUCLEAR Plant UTILIZATION The United States is not...Ch. 1.4 - SOCIAL SECURITY CONTRIBUTIONS For wages less than...Ch. 1.4 - COLLEGE ADMISSIONS Using data compiled by the...Ch. 1.4 - WEIGHT of Whales The equation W = 3.51L 192,...Ch. 1.4 - THE NARROWING Gender Gap Since the founding of the...Ch. 1.4 - Prob. 78ECh. 1.4 - SPENDING on Equipment and Software As the United...Ch. 1.4 - SALES Growth Metro Department Stores annual sales...Ch. 1.4 - Corporate Fraud The number of corporate fraud...Ch. 1.4 - Social Media A Nielsen survey of 3000 American...Ch. 1.4 - Prob. 83ECh. 1.4 - Prob. 84ECh. 1.4 - Prob. 85ECh. 1.4 - Prob. 86ECh. 1.4 - Prob. 87ECh. 1.4 - Is there a difference between the statements The...Ch. 1.4 - Show that two distinct lines with equations a1x +...Ch. 1.4 - Prove that if a line L1 with slope m1 is...Ch. 1 - Fill in the blanks. 1. A point in the plane can be...Ch. 1 - Prob. 2CRQCh. 1 - Prob. 3CRQCh. 1 - Prob. 4CRQCh. 1 - Prob. 5CRQCh. 1 - Prob. 6CRQCh. 1 - Prob. 7CRQCh. 1 - Prob. 8CRQCh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - In Exercises 58. evaluate the expression. 5. |5 +...Ch. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - In Exercises 1520, simplify the expression. 18....Ch. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Find an equation of the straight line that passes...Ch. 1 - Find an equation of the line that passes through...Ch. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Prob. 58RECh. 1 - Prob. 59RECh. 1 - Prob. 60RECh. 1 - Year 2009 2010 2011 Sales, y 887 1028 1251...Ch. 1 - Prob. 62RECh. 1 - Prob. 1BMCh. 1 - Prob. 2BMCh. 1 - Prob. 3BMCh. 1 - Prob. 4BMCh. 1 - Prob. 5BMCh. 1 - Prob. 6BMCh. 1 - Prob. 7BMCh. 1 - Prob. 8BMCh. 1 - Prob. 9BMCh. 1 - Prob. 10BM
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- In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers. 55. 34.37 56. 3 167 57. 1004 58. 1 31 167 100 1 59. x 60. 2. „3 61. 62. 63. 64. 65. (số): 67. (y 69. (2,3)5 71. (25.,9 73. ( 66. 31 68. (у 4)б 70. (2)4 72. (125x", 74. (a, t 3 32. 34 75. 76. 34 3p 77. 78. 1/14arrow_forwardIn 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)-2arrow_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_forward
- 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 + 2arrow_forwardIn 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 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_forward
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- Exercises 29–40: Write the number in scientific notation. 29. 82 (Percent of smartphones that run the Android operating system in 2016) 30. 14,500,000 (Number of U.S. cancer survivors in 2016) 31. 0.00365 (Proportion of cosmetic surgeries performed on 13-19 year olds) 32. 0.62 (Number of miles in 1 kilometer) 33. 2450 34. 105.6 35. 0.56 36. -0.00456 37. -0.0087 38. 1,250,000 39. 206.8 40. 0.00007arrow_forwardDiscrete Math Let a be an odd integer. Show that (a) 8 | a^2 − 9; (b) 16 | a^4 − 81.arrow_forwardTis0-12 (83) .72+40arrow_forward
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