MYLAB MATH COLLEGE ALGEBRA IN CONTEXT
6th Edition
ISBN: 9780135823002
Author: HARSHBARGER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4.4, Problem 1E
In Exercises 1–20, solve the equations algebraically and check graphically or by substitution.
1.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Exercises 99–108: Solve the given equation for the specified variable.
101. P = 2L + 2W for L
For Exercises 33–42, solve the equation on the interval [0, 2π). (See Examples 5–7)
In Exercises 1–6, solve for x.
Chapter 4 Solutions
MYLAB MATH COLLEGE ALGEBRA IN CONTEXT
Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10E
Ch. 4.1 - Prob. 11ECh. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - In Exercises 2932, write the equation of the...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Determine whether each of the complete graphs in...Ch. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Marijuana Use The number of millions of people age...Ch. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Pollution The daily cost C (in dollars) of...Ch. 4.1 - Population Growth Suppose the population of a...Ch. 4.1 - Mortgages The balance owed y on a 50,000 mortgage...Ch. 4.1 - Personal Expenditures Personal consumption...Ch. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.2 - In Exercises 18, find the following: (a) (f + g)...Ch. 4.2 - In Exercises 18, find the following: (a) (f + g)...Ch. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Profit Suppose that the total weekly cost for the...Ch. 4.2 - Prob. 26ECh. 4.2 - Revenue and Cost The total revenue function for...Ch. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Revenue and Cost The total monthly revenue...Ch. 4.2 - Prob. 31ECh. 4.2 - Cost-Benefit Suppose that for a certain city the...Ch. 4.2 - Prob. 33ECh. 4.2 - Electronic Components The monthly cost of...Ch. 4.2 - Football Tickets At a certain school, the number...Ch. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Profit A manufacturer of computers has monthly...Ch. 4.2 - Prob. 41ECh. 4.2 - Population of Children The following table gives...Ch. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Shoe Sizes A womans shoe that is size x in Japan...Ch. 4.2 - Shoe Sizes A mans shoe that is size x in Britain...Ch. 4.2 - Exchange Rates On a certain date, each Japanese...Ch. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.3 - In Exercises 1 and 2, determine if the function f...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - In Exercises 15 and 16, determine whether each...Ch. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - a. Write the inverse of f(x) = 3x 4. b. Do the...Ch. 4.3 - a.Write the inverse of g(x)=2x31. b.Do the values...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Shoe Sizes If x is the size of a mans shoe in...Ch. 4.3 - Investments If x dollars are invested at 10% for 6...Ch. 4.3 - Currency Conversion Suppose the function that...Ch. 4.3 - Apparent Temperature If the outside temperature is...Ch. 4.3 - Prob. 37ECh. 4.3 - Body-Heat Loss The model for body-heat loss...Ch. 4.3 - Prob. 39ECh. 4.3 - Decoding Messages If we assign numbers to the...Ch. 4.3 - Prob. 41ECh. 4.3 - Social Security Numbers and Income Taxes Consider...Ch. 4.3 - Prob. 43ECh. 4.3 - Volume of a Cube The volume of a cube is f(x) = x3...Ch. 4.3 - Prob. 45ECh. 4.3 - Surface Area The surface area of a cube is...Ch. 4.3 - Internet Access Using data from 2009 through 2015,...Ch. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - First-Class Postage The postage charged for...Ch. 4.3 - Prob. 51ECh. 4.3 - Path of a Ball If a ball is thrown into the air at...Ch. 4.4 - In Exercises 120, solve the equations...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - In Exercises 120, solve the equations...Ch. 4.4 - Prob. 7ECh. 4.4 - In Exercises 120, solve the equations...Ch. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - Prob. 22ECh. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - Prob. 24ECh. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 3134, use graphical methods to solve...Ch. 4.4 - In Exercises 3134, use graphical methods to solve...Ch. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - In Exercises 3542, solve the inequalities by using...Ch. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - In Exercises 3542, solve the inequalities by using...Ch. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Use algebraic and/or graphical methods to solve...Ch. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Use graphical and/or numerical methods to solve...Ch. 4.4 - Retail Sales November and December retail sales,...Ch. 4.4 - Voltage Required voltage for an electric oven is...Ch. 4.4 - Purchasing Power Inflation causes a decrease in...Ch. 4 - The domain of the reciprocal function is _____,...Ch. 4 - The domain of the constant function g(x) = k is...Ch. 4 - The reciprocal function decreases on _____.Ch. 4 - The absolute value function increase on the...Ch. 4 - The range of the squaring function is _____.Ch. 4 - Prob. 6TECh. 4 - Prob. 7TECh. 4 - Prob. 8TECh. 4 - Prob. 9TECh. 4 - In Exercises 712, determine whether the function...Ch. 4 - In Exercises 712, determine whether the function...Ch. 4 - Prob. 12TECh. 4 - Prob. 13TECh. 4 - Prob. 14TECh. 4 - Prob. 15TECh. 4 - Prob. 16TECh. 4 - Prob. 17TECh. 4 - Prob. 18TECh. 4 - Prob. 19TECh. 4 - Prob. 20TECh. 4 - Prob. 21TECh. 4 - Prob. 22TECh. 4 - How is the graph of g(x) = (x 8)2 + 7 transformed...Ch. 4 - How is the graph of g(x) = 2(x + 1)3 transformed...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - In Exercises 10 and 11, determine algebraically...Ch. 4 - In Exercises 10 and 11, determine algebraically...Ch. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - For Exercise 1320, use the functions f(x)=3x25x,...Ch. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Is the function f(x)=xx1 a one-to-one function?Ch. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Solve 4x5x1/2+1=0.Ch. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prison Sentences The mean time in prison y for...Ch. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - The Cloud North American cloud computing revenues...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- In Exercises 23–25, solve each equation. If the solution set is Ø or (-0, ), classify the equation as an inconsistent equation or an identity. 23. 3(2x – 4) = 9 – 3(x + 1) 2x 24. x - 4 x + 1 4 2 4 25. 3(x – 4) + x = 2(6 + 2x)arrow_forwardExercises 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 9–12, find all real solutions to the equations.arrow_forward
- For Exercises 41–54, write the equation in the form (x – h + (y – k)' = c. Then if the equation represents a circle, identify the center and radius. If the equation represents a degenerate case, give the solution set. (See Examples 3-4) 41. x + y? - + 6x – 2y + 6 = 0 42. x + y + 12x – 14y + 84 = 0 43. x + y 22x + 6y + 129 = 0 44. x + y? - 10x + 4y – 20 = 0 45. x + y - 20y – 4 = 0 46. x + y + 22x – 4 = 0 47. 10x + 10y² – 80x + 200y + 920 = 0 (Hint: Divide by 10 to make the x and y2 term coefficients equal to 1.) 48. 2x + 2y? 32x + 12y + 90 = 0 49. x + y? – 4x – 18y + 89 = 0 50. x + y - 10x – 22y + 155 = 0 51. 4x? + 4y 20y + 25 = 0 52. 4x + 4y? 12x + 9 = 0 53. x + y - x - 3 3 -y - 54. x + v? 2 = 0 = 0 9. -X - 2 4 3 3arrow_forwardIn Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1 1 x + 3 x - 1 ||arrow_forwardExercises 7–12: Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 7. 3x – 1.5 = 7arrow_forward
- In Exercises 49–54, solve for y in terms of t or x, as appropriate.arrow_forwardIn Exercises 7–12, describe the relationship between the two quantities.arrow_forwardThe average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.arrow_forward
- In Exercises 43–54, solve each absolute value equation or indicate the equation has no solution. 43. |x – 2| = 7 45. |2x – 1| = 5 47. 2|3x – 2| = 14 44. |x + 1| = 5 46. |2r – 3| = 11 48. 3|2x – 1| = 21 %3D %3D 5 24 - + 6 = 18 50. 4 1 x + 7 = 10 51. |x + 1| + 5 = 3 53. |2x – 1| + 3 = 3 52. |x + 1| + 6 = 2 54. |3x – 2| + 4 = 4arrow_forwardAmerica is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?arrow_forwardFor Exercises 101–104, verify by substitution that the given values of x are solutions to the given equation. 101. x + 25 = 0 102. x + 49 = 0 a. x = 5i a. x = 7i b. x = -5i b. x = -7i 103. x - 4x + 7 = 0 104. x - 6x + 11 = 0 a. x = 2 + iV3 b. x = 2 – iV3 a. x = 3 + iVā b. x = 3 – iV2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY