FREE Answers for Precalculus
Problem 15AYU:
In Problems 17-24, plot each pair of points and determine the slope of the line containing them....Problem 16AYU:
In Problems 17-24, plot each pair of points and determine the slope of the line containing them....Problem 17AYU:
In Problems 17-24, plot each pair of points and determine the slope of the line containing them....Problem 18AYU:
In Problems 17-24, plot each pair of points and determine the slope of the line containing them....Problem 19AYU:
In Problems 17-24, plot each pair of points and determine the slope of the line containing them....Problem 20AYU:
In Problems 17-24, plot each pair of points and determine the slope of the line containing them....Problem 21AYU:
In Problems 17-24, plot each pair of points and determine the slope of the line containing them....Problem 22AYU:
In Problems 17-24, plot each pair of points and determine the slope of the line containing them....Problem 23AYU:
In Problems 25-32, graph the line containing the point P and having slope m . P=( 1,2 );m=3Problem 24AYU:
In Problems 25-32, graph the line containing the point P and having slope m . P=( 2,1 );m=4Problem 25AYU:
In Problems 25-32, graph the line containing the point P and having slope m . P=( 2,4 );m= 3 4Problem 26AYU:
In Problems 25-32, graph the line containing the point P and having slope m . P=( 1,3 );m= 2 5Problem 27AYU:
In Problems 25-32, graph the line containing the point P and having slope m . P=( 1,3 );m=0Problem 28AYU:
In Problems 25-32, graph the line containing the point P and having slope m . P=( 2,4 );m=0Problem 37AYU:
In Problems 39-46, find an equation of the line L .Problem 38AYU:
In Problems 39-46, find an equation of the line L .Problem 39AYU:
In Problems 39-46, find an equation of the line L .Problem 40AYU:
In Problems 39-46, find an equation of the line L .Problem 41AYU:
In Problems 39-46, find an equation of the line L .Problem 42AYU:
In Problems 39-46, find an equation of the line L .Problem 43AYU:
In Problems 39-46, find an equation of the line L .Problem 44AYU:
In Problems 39-46, find an equation of the line L .Problem 45AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 46AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 47AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 48AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 49AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 50AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 51AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 52AYU:
In Problems 5378, find an equation for the line with the given properties. Express your answer using...Problem 53AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 54AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 55AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 56AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 57AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 58AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 59AYU:
In Problems 5378, find an equation for the line with the given properties. Express your answer using...Problem 60AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 61AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 62AYU:
In Problems 5378, find an equation for the line with the given properties. Express your answer using...Problem 63AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 64AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 65AYU:
In Problems 5378, find an equation for the line with the given properties. Express your answer using...Problem 66AYU:
In Problems 5378, find an equation for the line with the given properties. Express your answer using...Problem 67AYU:
In Problems 5378, find an equation for the line with the given properties. Express your answer using...Problem 68AYU:
In Problems 5378, find an equation for the line with the given properties. Express your answer using...Problem 69AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 70AYU:
In Problems 47-72, find an equation for the line with the given properties. Express your answer...Problem 71AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 72AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 73AYU:
In Problems 7998, find the slope and y-intercept of each line. Graph the line. 12y=x1Problem 74AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 75AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 76AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 77AYU:
In Problems 7998, find the slope and y-intercept of each line. Graph the line. x+2y=4Problem 78AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 79AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 80AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 81AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 82AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 83AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 84AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 85AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 86AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 87AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 88AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 89AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 90AYU:
In Problems 73-92, find the slope and y-intercept of each line. Graph the line by hand. Verify your...Problem 91AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 92AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 93AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 94AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 95AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 96AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 97AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 98AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 99AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 100AYU:
In Problems 93—102, (a) find the intercepts of the graph of each equation and (b) graph the...Problem 101AYU:
Find an equation of the x-axis .Problem 102AYU:
Find an equation of the y-axis .Problem 103AYU:
In Problems 105-108, the equations of two lines are given. Determine whether the lines are parallel,...Problem 104AYU:
In Problems 105-108, the equations of two lines are given. Determine whether the lines are parallel,...Problem 105AYU:
In Problems 105-108, the equations of two lines are given. Determine whether the lines are parallel,...Problem 106AYU:
In Problems 105-108, the equations of two lines are given. Determine whether the lines are parallel,...Problem 107AYU:
In Problems, write an equation of each line. Express your answer using either the general form of...Problem 108AYU:
In Problems 115118, write an equation of each line. Express your answer using either the general...Problem 109AYU:
In Problems 115118, write an equation of each line. Express your answer using either the general...Problem 110AYU:
In Problems, write an equation of each line. Express your answer using either the general form of...Problem 111AYU:
Geometry Use slopes to show that the triangle whose vertices are ( 2,5 ),( 1,3 ),and( 1,0 ) is a...Problem 112AYU:
Geometry Use slopes to show that the quadrilateral whose vertices are ( 1,1 ),( 4,1 ),( 2,2 )and(...Problem 113AYU:
Geometry Use slopes to show that the quadrilateral whose vertices are ( 1,0 ),( 2,3 ),( 1,2 ),and(...Problem 114AYU:
Geometry Use slopes and the distance formula to show that the quadrilateral whose vertices are ( 0,0...Problem 115AYU:
Geometry Truck Rentals A truck rental company rents a moving truck for one day by charging 39 plus...Problem 117AYU:
Cost of Driving a Car The annual fixed costs of owning a small sedan are 4252, assuming the car is...Problem 119AYU:
Electricity Rates in Florida Florida Power & Light Company supplies electricity to residential...Problem 121AYU:
Measuring Temperature The relationship between Celsius (C) and Fahrenheit (F) degrees of measuring...Problem 122AYU:
Measuring Temperature The Kelvin scale for measuring temperature is obtained by adding to the...Problem 123AYU:
Access Ramp A wooden access ramp is being built to reach a platform that sits inches above the...Problem 124AYU:
U.S. Advertising Share A report showed that Internet ads accounted for 19 of all U.S. advertisement...Problem 130AYU:
Which of the following equations might have the graph shown? (More than one answer is possible.) (a)...New
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Browse All Chapters of This Textbook
Chapter 1 - GraphsChapter 1.1 - The Distance And Midpoint FormulasChapter 1.2 - Graphs Of Equations In Two Variables; Intercepts; SymmetryChapter 1.3 - LinesChapter 1.4 - CirclesChapter 2 - Functions And Their GraphsChapter 2.1 - FunctionsChapter 2.2 - The Graph Of A FunctionChapter 2.3 - Properties Of FunctionsChapter 2.4 - Library Of Functions; Piecewise-defined Functions
Chapter 2.5 - Graphing Techniques: TransformationsChapter 2.6 - Mathematical Models: Building FunctionsChapter 3 - Linear And Quadratic FunctionsChapter 3.1 - Properties Of Linear Functions And Linear ModelsChapter 3.2 - Building Linear Models From DataChapter 3.3 - Quadratic Functions And Their PropertiesChapter 3.4 - Build Quadratic Models From Verbal Descriptions And From DataChapter 3.5 - Inequalities Involving Quadratic FunctionsChapter 4 - Polynomial And Rational FunctionsChapter 4.1 - Polynomial FunctionsChapter 4.2 - Graphing Polynomial Functions; ModelsChapter 4.3 - Properties Of Rational FunctionsChapter 4.4 - The Graph Of A Rational FunctionChapter 4.5 - Polynomial And Rational InequalitiesChapter 4.6 - The Real Zeros Of A Polynomial FunctionChapter 5 - Exponential And Logarithmic FunctionsChapter 5.1 - Composite FunctionsChapter 5.2 - One-to-one Functions; Inverse FunctionsChapter 5.3 - Exponential FunctionsChapter 5.4 - Logarithmic FunctionsChapter 5.5 - Properties Of LogarithmsChapter 5.6 - Logarithmic And Exponential EquationsChapter 5.7 - Financial ModelsChapter 5.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 5.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 6 - Trigonometric FunctionsChapter 6.1 - Angles, Arc Length, And Circular MotionChapter 6.2 - Trigonometric Functions: Unit Circle ApproachChapter 6.3 - Properties Of The Trigonometric FunctionsChapter 6.4 - Graphs Of The Sine And Cosine FunctionsChapter 6.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 6.6 - Phase Shift; Sinusoidal Curve FittingChapter 7 - Analytic TrigonometryChapter 7.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 7.2 - The Inverse Trigonometric Functions (continued)Chapter 7.3 - Trigonometric EquationsChapter 7.4 - Trigonometric IdentitiesChapter 7.5 - Sum And Difference FormulasChapter 7.6 - Double-angle And Half-angle FormulasChapter 7.7 - Product-to-sum And Sum-to-product FormulasChapter 8 - Applications Of Trigonometric FunctionsChapter 8.1 - Right Triangle Trigonometry; ApplicationsChapter 8.2 - The Law Of SinesChapter 8.3 - The Law Of CosinesChapter 8.4 - Area Of A TriangleChapter 8.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 9 - Polar Coordinates; VectorsChapter 9.1 - Polar CoordinatesChapter 9.2 - Polar Equations And GraphsChapter 9.3 - The Complex Plane; De Moivre’s TheoremChapter 9.4 - VectorsChapter 9.5 - The Dot ProductChapter 9.6 - Vectors In SpaceChapter 9.7 - The Cross ProductChapter 10 - Analytic GeometryChapter 10.2 - The ParabolaChapter 10.3 - The EllipseChapter 10.4 - The HyperbolaChapter 10.5 - Rotation Of Axes; General Form Of A ConicChapter 10.6 - Polar Equations Of ConicsChapter 10.7 - Plane Curves And Parametric EquationsChapter 11 - Systems Of Equations And InequalitiesChapter 11.1 - Systems Of Linear Equations: Substitution And EliminationChapter 11.2 - Systems Of Linear Equations: MatricesChapter 11.3 - Systems Of Linear Equations: DeterminantsChapter 11.4 - Matrix AlgebraChapter 11.5 - Partial Fraction DecompositionChapter 11.6 - Systems Of Nonlinear EquationsChapter 11.7 - Systems Of InequalitiesChapter 11.8 - Linear ProgrammingChapter 12 - Sequences; Induction; The Binomial TheoremChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13 - Counting And ProbabilityChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 14 - A Preview Of Calculus: The Limit, Derivative, And Integral Of A FunctionChapter 14.1 - Finding Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; ContinuityChapter 14.4 - The Tangent Problem; The DerivativeChapter 14.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Synthetic DivisionChapter A.5 - Rational ExpressionsChapter A.6 - Solving EquationsChapter A.7 - Complex Numbers; Quadratic Equations In The Complex Number SystemChapter A.8 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.9 - Interval Notation; Solving InequalitiesChapter A.10 - Nth Roots; Rational ExponentsChapter B.1 - The Viewing RectangleChapter B.2 - Using A Graphing Utility To Graph EquationsChapter B.3 - Using A Graphing Utility To Locate Intercepts And Check For SymmetryChapter B.5 - Square Screens
Book Details
Table of Contents 1. Graphs 1.1 The Distance and Midpoint Formulas 1.2 Graphs of Equations in Two Variables: Intercepts; Symmetry 1.3 Lines 1.4 Circles Chapter Review Chapter Test Chapter Projects 2. Functions and Their Graphs 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions 2.4 Library of Functions; Piecewise-defined Functions 2.5 Graphing Techniques: Transformations 2.6 Mathematical Models: Building Functions Chapter Review Chapter Test Cumulative Review Chapter Projects 3. Linear and Quadratic Functions 3.1 Linear Functions and Their Properties 3.2 Linear Models: Building Linear Functions from Data 3.3 Quadratic Functions and Their Properties 3.4 Build Quadratic models from Verbal Descriptions and from Data 3.5 Inequalities Involving Quadratic Functions Chapter Review Chapter Test Cumulative Review Chapter Projects 4. Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Properties of Rational Functions 4.3 The Graph of a Rational Function 4.4 Polynomial and Rational Inequalities 4.5 The Real Zeros of a Polynomial Function 4.6 Complex Zeros: Fundamental Theorem of Algebra Chapter Review Chapter Test Cumulative Review Chapter Projects 5. Exponential and Logarithmic Functions 5.1 Composite Functions 5.2 One-to-One Functions; Inverse Functions 5.3 Exponential Functions 5.4 Logarithmic Functions 5.5 Properties of Logarithms 5.6 Logarithmic and Exponential Equations 5.7 Financial Models 5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models 5.9 Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects 6. Trigonometric Functions 6.1 Angles and Their Measure 6.2 Trigonometric Functions: Unit Circle Approach 6.3 Properties of the Trigonometric Functions 6.4 Graphs of the Sine and Cosine Functions 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 6.6 Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Cumulative Review Chapter Projects 7. Analytic Trigonometry 7.1 The Inverse Sine, Cosine, and Tangent Functions 7.2 The Inverse Trigonometric Functions (continued) 7.3 Trigonometric Equations 7.4 Trigonometric Identities 7.5 Sum and Difference Formulas 7.6 Double-angle and Half-angle Formulas 7.7 Product-to-Sum and Sum-to-Product Formulas Chapter Review Chapter Test Cumulative Review Chapter Projects 8. Applications of Trigonometric Functions 8.1 Applications Involving Right Triangles 8.2 Law of Sines 8.3 Law of Cosines 8.4 Area of a Triangle 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Cumulative Review Chapter Projects 9. Polar Coordinates; Vectors 9.1 Polar Coordinates 9.2 Polar Equations and Graphs 9.3 The Complex Plane; DeMoivre's Theorem 9.4 Vectors 9.5 The Dot Product 9.6 Vectors in Space 9.7 The Cross Product Chapter Review Chapter Test Cumulative Review Chapter Projects 10. Analytic Geometry 10.1 Conics 10.2 The Parabola 10.3 The Ellipse 10.4 The Hyperbola 10.5 Rotation of Axes; General Form of a Conic 10.6 Polar Equations of Conics 10.7 Plane Curves and Parametric Equations Chapter Review Chapter Test Cumulative Review Chapter Projects 11. Systems of Equations and Inequalities 11.1 Systems of Linear Equations: Substitution and Elimination 11.2 Systems of Linear Equations: Matrices 11.3 Systems of Linear Equations: Determinants 11.4 Matrix Algebra 11.5 Partial Fraction Decomposition 11.6 Systems of Nonlinear Equations 11.7 Systems of Inequalities 11.8 Linear Programming Chapter Review Chapter Test Cumulative Review Chapter Projects 12. Sequences; Induction; The Binomial Theorem 12.1 Sequences 12.2 Arithmetic Sequences 12.3 Geometric Sequences; Geometric Series 12.4 Mathematical Induction 12.5 The Binomial Theorem Chapter Review Chapter Test Cumulative Review Chapter Projects 13. Counting and Probability 13.1 Counting 13.2 Permutations and Combinations 13.3 Probability Chapter Review Chapter Test Cumulative Review Chapter Projects 14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function 14.1 Finding Limits Using Tables and Graphs 14.2 Algebra Techniques for Finding Limits 14.3 One-sided Limits; Continuous Functions 14.4 The Tangent Problem; The Derivative 14.5 The Area Problem; The Integral Chapter Review Chapter Test Chapter Projects Appendix A. Review A.1 Algebra Essentials A.2 Geometry Essentials A.3 Polynomials A.4 Synthetic Division A.5 Rational Expressions A.6 Solving Equations A.7 Complex Numbers; Quadratic Equations in the Complex Number System A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications A.9 Interval Notation; Solving Inequalities A.10 nth Roots; Rational Exponents Appendix B. Graphing Utilities B.1 The Viewing Rectangle B.2 Using a Graphing Utility to Graph Equations B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry B.4 Using a Graphing Utility to Solve Equations B.5 Square Screens B.6 Using a Graphing Utility to Graph Inequalities B.7 Using a Graphing Utility to Solve Systems of Linear Equations B.8 Using a Graphing Utility to Graph a Polar Equation B.9 Using a Graphing Utility to Graph Parametric Equations
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