Solutions for Precalculus
Problem 1RE:
Complete the table.Problem 5RE:
a. Write an absolute value expression to represent the distance between 2and5 on the number line. b....Problem 9RE:
Jesse makes $150 more per week than Ethan. a. Write a model for Jesse’s salary J in terms of...Problem 12RE:
For Exercises 12-15, simplify completely. Write the answer with positive exponents only....Problem 13RE:
For Exercises 12-15, simplify completely. Write the answer with positive exponents only....Problem 14RE:
For Exercises 12-15, simplify completely. Write the answer with positive exponents only. 12a3b42Problem 15RE:
For Exercises 12-15, simplify completely. Write the answer with positive exponents only....Problem 18RE:
Simplify. 8.61034.11082.0106Problem 19RE:
For Exercises 19-21, simplify the expression. Write exponential expressions with positive exponents...Problem 20RE:
For Exercises 19-21, simplify the expression. Write exponential expressions with positive exponents...Problem 21RE:
For Exercises 19-21, simplify the expression. Write exponential expressions with positive exponents...Problem 22RE:
For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive...Problem 23RE:
For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive...Problem 24RE:
For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive...Problem 25RE:
For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive...Problem 26RE:
For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive...Problem 27RE:
For Exercises 27-29, add or subtract as indicated. Assume that all variables represent positive real...Problem 28RE:
For Exercises 27-29, add or subtract as indicated. Assume that all variables represent positive real...Problem 29RE:
For Exercises 27-29, add or subtract as indicated. Assume that all variables represent positive real...Problem 31RE:
For Exercises 30-38, perform the indicated operations. 7.2a2b3+4.1ab23.9b0.8a2b33.2ab2bProblem 39RE:
For Exercises 39-42, multiply the radicals and simplify. Assume that all variable expressions...Problem 40RE:
For Exercises 39-42, multiply the radicals and simplify. Assume that all variable expressions...Problem 42RE:
For Exercises 39-42, multiply the radicals and simplify. Assume that all variable expressions...Problem 43RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents....Problem 44RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents....Problem 45RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents....Problem 46RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. t+12t26Problem 47RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents....Problem 48RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. 256a4625Problem 49RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. 3k481kProblem 50RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. c+23+d3Problem 51RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. 25n2m212m36Problem 52RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. x272+8x27+15Problem 53RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. 2p524p+12Problem 54RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. m6+9m3+8Problem 55RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents....Problem 56RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. 7w8+5w7+w6Problem 57RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents. 12x7/24x5/2Problem 58RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents....Problem 59RE:
For Exercises 43-59, factor completely and write the answer with no negative exponents....Problem 60RE:
For Exercises 60-61, simplify and state the restricted value on the variable. 24a2c5d216c6d7Problem 61RE:
For Exercises 60-61, simplify and state the restricted value on the variable. m216m2m12Problem 71RE:
For Exercises 71-74, simplify the expression. Assume that all variable expressions represent...Problem 72RE:
For Exercises 71-74, simplify the expression. Assume that all variable expressions represent...Problem 73RE:
For Exercises 71-74, simplify the expression. Assume that all variable expressions represent...Problem 74RE:
For Exercises 71-74, simplify the expression. Assume that all variable expressions represent...Problem 75RE:
For Exercises 75-90, solve the equation. 8t4+7=4t31t+6Problem 76RE:
For Exercises 75-90, solve the equation. m+23m44=m+161Problem 77RE:
For Exercises 75-90, solve the equation. x5+2x4=3x+15Problem 78RE:
For Exercises 75-90, solve the equation. 0.2x+1.6=x0.8x2Problem 79RE:
For Exercises 75-90, solve the equation. x+35x+2=x4xProblem 80RE:
For Exercises 75-90, solve the equation. 3y24y=86yProblem 81RE:
For Exercises 75-90, solve the equation. 2v+321=6Problem 82RE:
For Exercises 75-90, solve the equation. 2dd3=1+4dProblem 83RE:
For Exercises 75-90, solve the equation. 4x36x220x+30=0Problem 84RE:
For Exercises 75-90, solve the equation. n3n+2+1=4n2Problem 85RE:
For Exercises 75-90, solve the equation. k+73k=2Problem 86RE:
For Exercises 75-90, solve the equation. 5114x+4=x2Problem 87RE:
For Exercises 75-90, solve the equation. x112/3=9Problem 88RE:
For Exercises 75-90, solve the equation. 23y10+4=6Problem 89RE:
For Exercises 75-90, solve the equation. 6w+7=2Problem 90RE:
For Exercises 75-90, solve the equation. 10w2/3=110Problem 97RE:
For Exercises 97-98, simplify the expressions. 164Problem 98RE:
For Exercises 97-98, simplify the expressions. Simplify the powers of i . a.i35b.i56c.i62d.i17e.i5Problem 101RE:
For Exercises 99-103, perform the indicated operations. 46i2Problem 104RE:
For Exercises 104-108, solve the equation. 10t2+1210=0Problem 105RE:
For Exercises 104-108, solve the equation. xx4=9Problem 106RE:
For Exercises 104-108, solve the equation. 6d2/37d1/33=0Problem 107RE:
For Exercises 104-108, solve the equation. 2u212102u21+9=0Problem 108RE:
For Exercises 104-108, solve the equation. 24w+12104w+1=0Problem 109RE:
For Exercises 109-111, (a) evaluate the discriminant and (b) determine the number and type of...Problem 110RE:
For Exercises 109-111, (a) evaluate the discriminant and (b) determine the number and type of...Problem 111RE:
For Exercises 109-111, (a) evaluate the discriminant and (b) determine the number and type of...Problem 112RE:
Shawna invested a total of $12,000 in tyro mutual funds: an international fund and a real estate...Problem 113RE:
Cassandra bought a 10-yr Treasury note that paid the equivalent of 3.5 simple interest. She invested...Problem 114RE:
A chemist mixed 100 cc of a 60 acid solution with a 20 acid solution to produce a 25 acid solution....Problem 115RE:
Suppose that 250ft3 of dry concrete mixture is 50 sand by volume. How much pure sand must be added...Problem 116RE:
When Kevin commuted to work one morning, his average speed was 45 mph. He averaged only 30 mph for...Problem 117RE:
Two boats leave a marina at the same time. One travels south and the other travels north. The...Problem 118RE:
A tablet computer has a 7-in. diagonal screen. The length is 2.7 in. more than the width. find the...Problem 119RE:
A fireworks mortar is shot straight upward with an initial velocity of 200 ft/sec from a platform 2...Problem 120RE:
Petra and Dawn are typesetters for a publishing company. Petra can typeset 50 pages in 4 days and...Problem 121RE:
One pump can drain a pond in 22 hr. Working with a second pump, the two pumps together can drain the...Problem 122RE:
For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in...Problem 123RE:
For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in...Problem 125RE:
For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in...Problem 126RE:
For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in...Problem 127RE:
For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in...Problem 128RE:
Write an inequality to represent the following statement. A pilot is instructed to keep a plane at...Problem 129RE:
The months of June, July, August, and September are the wettest months in Miami, Florida, averaging...Problem 130RE:
For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in...Problem 131RE:
For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in...Problem 132RE:
For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in...Problem 133RE:
For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in...Problem 134RE:
For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in...Problem 135RE:
For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in...Problem 136RE:
For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in...Problem 137RE:
For Exercises 137-138, (a) write an absolute value inequality that represents the given statement...Problem 138RE:
For Exercises 137-138, (a) write an absolute value inequality that represents the given statement...Problem 4T:
Simplify without absolute value bars. 5tfort5.Problem 5T:
a. Find the distance between 2 and 2 on the number line. b. Simplify without absolute value bars.Problem 7T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 8T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 9T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 10T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 11T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 12T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 14T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 15T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 16T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 17T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 18T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 19T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 20T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 21T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 23T:
For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all...Problem 26T:
For Exercises 24-31, factor completely. Write the answer with positive exponents only. x5+2x481x162Problem 29T:
For Exercises 24-31, factor completely. Write the answer with positive exponents only. 4w6+2w5+7w4Problem 35T:
For Exercises 35-36, perform the indicated operations. Write the answer in the form a+bi . 35i2Problem 37T:
For Exercises 37-39, (a) evaluate the discriminant and (b) determine the number and type of...Problem 38T:
For Exercises 37-39, (a) evaluate the discriminant and (b) determine the number and type of...Problem 39T:
For Exercises 37-39, (a) evaluate the discriminant and (b) determine the number and type of...Problem 43T:
For Exercises 40-50, solve the equation. 6t2t+1=55tProblem 44T:
For Exercises 40-50, solve the equation. 3x24x=12Problem 49T:
For Exercises 40-50, solve the equation. 2=x36Problem 50T:
For Exercises 40-50, solve the equation. 2v+5=2v1Problem 55T:
For exercises 54-60, solve the equations and inequalities. Write the answer to the inequalities in...Problem 62T:
Two passengers leave the airport at Denver. Colorado. One takes a 2.3-hr flight to Seattle....Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
Book Details
Julie Miller wrote her developmental math series because students were coming into her Precalculus course underprepared. They weren’t mathematically mature enough to understand the concepts of math nor were they fully engaged with the material. She began her developmental mathematics offerings with intermediate algebra to help bridge that gap. The Precalculus series is a carefully constructed end to that bridge that uses the highly effective pedagogical features from her fastest growing developmental math series. What sets Julie Miller’s series apart is that it addresses course issues through an author-created digital package that maintains a consistent voice and notation throughout the program. This consistency--in videos, PowerPoints, Lecture Notes, and Group Activities--coupled with the power of ALEKS and Connect Hosted by ALEKS, ensures that students master the skills necessary to be successful in Precalculus and can carry them through to the calculus sequence.
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