Solutions for Precalculus
Problem 2SP:
Simplify. a.x28xx27x8b.3+956Problem 6SP:
Simplify. 17+1yy77yProblem 8SP:
Simplify. 51+hh5Problem 1PE:
A expression is a ratio of two polynomials.Problem 4PE:
The ratio of a polynomial and its opposite equals .Problem 7PE:
For Exercises 7 – 14, determine the restrictions on the variable. (See Example 1) x4x+7Problem 11PE:
For Exercises 7 – 14, determine the restrictions on the variable. (See Example 1) aa2+81Problem 18PE:
For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See...Problem 19PE:
For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See...Problem 20PE:
For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See...Problem 23PE:
For Exercise 17-26, simplify the expression and state the restrictions on the variable. (See Example...Problem 24PE:
For Exercises 17-26, simplify the expression and state the restrictions on the variable. (See...Problem 27PE:
For Exercises 27-34, multiply or divide as indicated. The restrictions on the variable are implied....Problem 28PE:
For Exercises 27-34, multiply or divide as indicated. The restrictions on the variables are implied....Problem 30PE:
For Exercise 27-34, multiply or divide as indicated. The restrictions on the variables are implied....Problem 31PE:
For Exercise 27-34, multiply or divide as indicated. The restrictions on the variables are implied....Problem 33PE:
For Exercises 27-34, multiply or divide as indicated. The restrictions on the variables are implied....Problem 34PE:
For Exercises 27-34, multiply or divide as indicated. The restrictions on the variables are implied....Problem 37PE:
For Exercises 35-40, identify the least common denominator for each pair of expressions....Problem 69PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 70PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 71PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 72PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent real...Problem 73PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 74PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 75PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 76PE:
For Exercise 69-84, simplify the expression. Assume that the variable expressions represent positive...Problem 77PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 78PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent real...Problem 79PE:
For Exercise 69-84, simplify the expression. Assume that the variable expressions represent positive...Problem 80PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 81PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 83PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 84PE:
For Exercises 69-84, simplify the expression. Assume that the variable expressions represent...Problem 85PE:
The average round trip speed 5 (in mph) of a vehicle travelling a distance of a miles each way is...Problem 86PE:
The formula R=11R1+1R2 gives the total electrical resistance R (in ohms, ) when two resistors of...Problem 97PE:
For Exercises 89-102, simplify the expression. 34253Problem 100PE:
For Exercises 89-102, simplify the expression, 105010Problem 102PE:
For Exercises 89-102, simplify the expression. m412mm+2Problem 106PE:
For Exercises 103-110, write the expression a single tern, factored completely. Do not rationalize...Problem 109PE:
For Exercises 103-110, write the expression as a single term, factored completely. Do not...Problem 113PE:
The numbers 1,2,3,4,5,10,and 20 are natural numbers that are factors of 20. There are other factors...Problem 117PE:
For Exercises 115-120, simplify the expression. 523Browse 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.
Sample Solutions for this Textbook
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PRECALCULAS-ALEKS 360 ACCESS CODE
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