Math in Our World
3rd Edition
ISBN: 9780073519678
Author: David Sobecki Professor, Allan G. Bluman
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6.2, Problem 28E
For Exercises 25–70, solve each equation.
28. −5 = y − 2
Expert Solution & Answer
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Students have asked these similar questions
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 + 2
In Exercises 59–64, solve and check each linear equation.
59. 2x – 5 = 7
60. 5x + 20 = 3x
61. 7(x – 4) = x + 2
62. 1 - 2(6 – x) = 3x + 2
63. 2(x – 4) + 3(x + 5) = 2x – 2
64. 2x
4(5x + 1) = 3x + 17
In Exercises 11–12, find the solution set for each equation.
11. |5x + 3| = 7
12. |6x + 1| = [4x + 15||
Chapter 6 Solutions
Math in Our World
Ch. 6.1 - Identify the terms of the algebraic expression,...Ch. 6.1 - Use the distributive property to multiply out the...Ch. 6.1 - Prob. 3TTOCh. 6.1 - Prob. 4TTOCh. 6.1 - Prob. 5TTOCh. 6.1 - Evaluate each expression. (a) 9x 17 when x = 3....Ch. 6.1 - Prob. 7TTOCh. 6.1 - Prob. 8TTOCh. 6.1 - The sales tax in Georgia is only 4%. How much...Ch. 6.1 - A sporting goods store in Cincinnati is having a...
Ch. 6.1 - In Canada and in other countries where the metric...Ch. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - How does the distributive property come into play...Ch. 6.1 - Whats meant by the term formula?Ch. 6.1 - Prob. 8ECh. 6.1 - 5x + 12x 6xCh. 6.1 - 3x2 + 8x2 15x2Ch. 6.1 - 4y 10y 12yCh. 6.1 - Prob. 12ECh. 6.1 - 3p + 2q 7 + 6p 3q 10Ch. 6.1 - Prob. 14ECh. 6.1 - 8x2 + 6x + 10 + 15 7x + 3x2Ch. 6.1 - Prob. 16ECh. 6.1 - 5(6x 7)Ch. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - 7(3x + 8) 5x + 6Ch. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - 4x 2 (x + 3) + 11(2x 4y)Ch. 6.1 - 3(x 2) (x + 4) + 30(y x)Ch. 6.1 - 3(4 x2) 2(5x + 7) + x2Ch. 6.1 - Prob. 28ECh. 6.1 - 7x2y + 8xy2 9 + 10xy2 11x2yCh. 6.1 - Prob. 30ECh. 6.1 - 52(2m7)+8m+172Ch. 6.1 - 4k23+53(3k+4)Ch. 6.1 - 154yz+14(3yz)32Ch. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - 125(52xz)+34xz32Ch. 6.1 - Prob. 38ECh. 6.1 - 0.6(8 + tz) 10(6tz 9)Ch. 6.1 - 12.2(rs + 7) + 0.5(8 rs)Ch. 6.1 - 0.5(3 + tz) 0.25(tz + 6)Ch. 6.1 - 0.4(rs 5) + 0.3(2 + tz)Ch. 6.1 - 5x 7 when x = 18Ch. 6.1 - 3x + 8 when x = 5Ch. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - 14x2 6x + 30 when x = 7Ch. 6.1 - 3x2 2y2 + 6x when x = 8 and y = 2Ch. 6.1 - Prob. 50ECh. 6.1 - 13y2 6x2 + 7y 6x + 1 when x = 5 and y = 9Ch. 6.1 - Prob. 52ECh. 6.1 - 9x2 + 7y2 + 6x + 2y + 5 when x = 1 and y = 5Ch. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - 8x252y when x = 4 and y = 6Ch. 6.1 - Prob. 58ECh. 6.1 - 4x2 3x + 10 for x=32Ch. 6.1 - Prob. 60ECh. 6.1 - For Exercises 4366, evaluate the expression for...Ch. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - Prob. 64ECh. 6.1 - 8st + 5s2 3t2 when t = 2.5 and s = 0.5Ch. 6.1 - Prob. 66ECh. 6.1 - Prob. 67ECh. 6.1 - Prob. 68ECh. 6.1 - For Exercises 6776, evaluate each formula. 69. A =...Ch. 6.1 - For Exercises 6776, evaluate each formula. 70....Ch. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.1 - For Exercises 6776, evaluate each formula. 73. FV...Ch. 6.1 - Prob. 74ECh. 6.1 - Prob. 75ECh. 6.1 - Prob. 76ECh. 6.1 - The simple interest (I) on a certain amount of...Ch. 6.1 - Prob. 78ECh. 6.1 - For a manufacturing company, finding the number of...Ch. 6.1 - Two of the key factors in determining the value of...Ch. 6.1 - Find the electric current, I, delivered by battery...Ch. 6.1 - The kinetic energy (KE) in ergs of an object is...Ch. 6.1 - Prob. 83ECh. 6.1 - Prob. 84ECh. 6.1 - Use Einsteins mass-energy equivalence formula E =...Ch. 6.1 - Prob. 86ECh. 6.1 - Prob. 87ECh. 6.1 - Prob. 88ECh. 6.1 - Monique is a sales rep for a pharmaceutical...Ch. 6.1 - Prob. 90ECh. 6.1 - Prob. 91ECh. 6.1 - Prob. 92ECh. 6.1 - The state of Maine has a 5% sales tax. Write an...Ch. 6.1 - Prob. 94ECh. 6.1 - The clearance rack at the Lacoste store near my...Ch. 6.1 - Prob. 96ECh. 6.1 - Prob. 97ECh. 6.1 - Prob. 98ECh. 6.1 - An efficiency consultant informs the CEO of Bosman...Ch. 6.1 - Prob. 100ECh. 6.1 - Prob. 101ECh. 6.1 - Prob. 102ECh. 6.2 - Decide if the given value is a solution of the...Ch. 6.2 - Decide which of the equations are linear...Ch. 6.2 - Solve each equation, and check your answer. (a) y...Ch. 6.2 - Solve each equation, and check your answer. (a)...Ch. 6.2 - Solve the equation 3x 25 = 8, and check your...Ch. 6.2 - Solve the equation 8x 27 = 3x + 33, and check...Ch. 6.2 - Solve each equation, and check your answer. (a)...Ch. 6.2 - Prob. 8TTOCh. 6.2 - Prob. 9TTOCh. 6.2 - The formula for the area of a trapezoid is...Ch. 6.2 - Prob. 11TTOCh. 6.2 - Decide if the equation is an identity or a...Ch. 6.2 - How can you tell when an equation is a linear...Ch. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - In Exercises 916, state whether the equation is a...Ch. 6.2 - In Exercises 916, state whether the equation is a...Ch. 6.2 - In Exercises 916, state whether the equation is a...Ch. 6.2 - In Exercises 916, state whether the equation is a...Ch. 6.2 - In Exercises 916, state whether the equation is a...Ch. 6.2 - In Exercises 916, state whether the equation is a...Ch. 6.2 - In Exercises 916, state whether the equation is a...Ch. 6.2 - In Exercises 916, state whether the equation is a...Ch. 6.2 - In Exercises 1724, decide if the given value is a...Ch. 6.2 - In Exercises 1724, decide if the given value is a...Ch. 6.2 - In Exercises 1724, decide if the given value is a...Ch. 6.2 - In Exercises 1724, decide if the given value is a...Ch. 6.2 - In Exercises 1724, decide if the given value is a...Ch. 6.2 - In Exercises 1724, decide if the given value is a...Ch. 6.2 - In Exercises 1724, decide if the given value is a...Ch. 6.2 - In Exercises 1724, decide if the given value is a...Ch. 6.2 - For Exercises 2570, solve each equation. 25. x + 6...Ch. 6.2 - For Exercises 2570, solve each equation. 26. 7 + x...Ch. 6.2 - For Exercises 2570, solve each equation. 27. 36 =...Ch. 6.2 - For Exercises 2570, solve each equation. 28. 5 = y...Ch. 6.2 - For Exercises 2570, solve each equation. 29. 9x =...Ch. 6.2 - For Exercises 2570, solve each equation. 30. 6x =...Ch. 6.2 - For Exercises 2570, solve each equation. 31. 3z =...Ch. 6.2 - For Exercises 2570, solve each equation. 32. 42 =...Ch. 6.2 - or Exercises 2570, solve each equation. 33. 6x +...Ch. 6.2 - For Exercises 2570, solve each equation. 34. 10x ...Ch. 6.2 - For Exercises 2570, solve each equation. 35. 5x +...Ch. 6.2 - For Exercises 2570, solve each equation. 36. 3x +...Ch. 6.2 - For Exercises 2570, solve each equation. 37. 2t +...Ch. 6.2 - For Exercises 2570, solve each equation. 38. 5t 6...Ch. 6.2 - For Exercises 2570, solve each equation. 39. 6x +...Ch. 6.2 - For Exercises 2570, solve each equation. 40. 9 2x...Ch. 6.2 - For Exercises 2570, solve each equation. 41. 3(x +...Ch. 6.2 - For Exercises 2570, solve each equation. 42. 7(x ...Ch. 6.2 - For Exercises 2570, solve each equation. 43. 6 +...Ch. 6.2 - For Exercises 2570, solve each equation. 44. 2(4x ...Ch. 6.2 - For Exercises 2570, solve each equation. 45. 12(x ...Ch. 6.2 - For Exercises 2570, solve each equation. 46. 2x +...Ch. 6.2 - For Exercises 2570, solve each equation. 47. 6(3x ...Ch. 6.2 - For Exercises 2570, solve each equation. 48. 21y ...Ch. 6.2 - For Exercises 2570, solve each equation. 49. 3t ...Ch. 6.2 - For Exercises 2570, solve each equation. 50. 2(3x...Ch. 6.2 - For Exercises 2570, solve each equation. 51....Ch. 6.2 - For Exercises 2570, solve each equation. 52. 14x=2Ch. 6.2 - For Exercises 2570, solve each equation. 53....Ch. 6.2 - For Exercises 2570, solve each equation. 54....Ch. 6.2 - For Exercises 2570, solve each equation. 55....Ch. 6.2 - For Exercises 2570, solve each equation. 56....Ch. 6.2 - For Exercises 2570, solve each equation. 57....Ch. 6.2 - For Exercises 2570, solve each equation. 58....Ch. 6.2 - For Exercises 2570, solve each equation. 59....Ch. 6.2 - For Exercises 2570, solve each equation. 60....Ch. 6.2 - For Exercises 2570, solve each equation. 61....Ch. 6.2 - For Exercises 2570, solve each equation. 62....Ch. 6.2 - For Exercises 2570, solve each equation. 63....Ch. 6.2 - For Exercises 2570, solve each equation. 64....Ch. 6.2 - For Exercises 2570, solve each equation. 65....Ch. 6.2 - For Exercises 2570, solve each equation. 66....Ch. 6.2 - For Exercises 2570, solve each equation. 67....Ch. 6.2 - For Exercises 2570, solve each equation. 68....Ch. 6.2 - For Exercises 2570, solve each equation. 69....Ch. 6.2 - For Exercises 2570, solve each equation. 70....Ch. 6.2 - For Exercises 7176, solve each equation for the...Ch. 6.2 - For Exercises 7176, solve each equation for the...Ch. 6.2 - For Exercises 7176, solve each equation for the...Ch. 6.2 - For Exercises 7176, solve each equation for the...Ch. 6.2 - For Exercises 7176, solve each equation for the...Ch. 6.2 - For Exercises 7176, solve each equation for the...Ch. 6.2 - For Exercises 7784, indicate whether the equation...Ch. 6.2 - For Exercises 7784, indicate whether the equation...Ch. 6.2 - For Exercises 7784, indicate whether the equation...Ch. 6.2 - For Exercises 7784, indicate whether the equation...Ch. 6.2 - For Exercises 7784, indicate whether the equation...Ch. 6.2 - Prob. 82ECh. 6.2 - For Exercises 7784, indicate whether the equation...Ch. 6.2 - For Exercises 7784, indicate whether the equation...Ch. 6.2 - The electrical resistance for a conductor can be...Ch. 6.2 - The illumination of a light can be found by the...Ch. 6.2 - The volume of a cylinder can be found by the...Ch. 6.2 - The formula for the perimeter of a rectangle is P...Ch. 6.2 - Prob. 89ECh. 6.2 - The formula for converting mass to energy is E =...Ch. 6.2 - The formula for the distance traveled during an...Ch. 6.2 - The formula for earned run average in baseball is...Ch. 6.2 - The formula for slugging percentage in baseball is...Ch. 6.2 - The formula for the area of a triangle is A=12bh....Ch. 6.2 - The formula for the average a of two numbers b and...Ch. 6.2 - The centripetal force of an object can be found by...Ch. 6.2 - Prob. 97ECh. 6.2 - Prob. 98ECh. 6.2 - Prob. 99ECh. 6.2 - Prob. 100ECh. 6.2 - Prob. 101ECh. 6.2 - Exercises 101104 use the following formula: the...Ch. 6.2 - Exercises 101104 use the following formula: the...Ch. 6.2 - Prob. 104ECh. 6.2 - Prob. 105ECh. 6.2 - Prob. 106ECh. 6.2 - Prob. 107ECh. 6.2 - Prob. 108ECh. 6.2 - Prob. 109ECh. 6.2 - Prob. 110ECh. 6.2 - Prob. 111ECh. 6.2 - Prob. 112ECh. 6.2 - Prob. 113ECh. 6.2 - Prob. 114ECh. 6.2 - Prob. 115ECh. 6.2 - Prob. 116ECh. 6.2 - Prob. 117ECh. 6.2 - Prob. 118ECh. 6.3 - Translate each verbal statement into symbols. (a)...Ch. 6.3 - Prob. 2TTOCh. 6.3 - Prob. 3TTOCh. 6.3 - Prob. 4TTOCh. 6.3 - Prob. 5TTOCh. 6.3 - Prob. 1ECh. 6.3 - Prob. 2ECh. 6.3 - Whats the difference between checking your answer...Ch. 6.3 - Prob. 4ECh. 6.3 - 3 less than a numberCh. 6.3 - A number decreased by 17Ch. 6.3 - A number increased by 9Ch. 6.3 - 6 increased by a numberCh. 6.3 - 11 decreased by a numberCh. 6.3 - 8 more than a numberCh. 6.3 - 6 subtracted from a numberCh. 6.3 - 7 times a numberCh. 6.3 - One-half a number added to that numberCh. 6.3 - 5 more than 3 times a numberCh. 6.3 - The quotient of 3 times a number and 6Ch. 6.3 - 4 less than 6 times a numberCh. 6.3 - The quotient of a number and 14Ch. 6.3 - The product of 7 and a number, all subtracted from...Ch. 6.3 - Triple the sum of a number and pi.Ch. 6.3 - One-fourth the difference of 12 and a number.Ch. 6.3 - Three times a number subtracted from the quotient...Ch. 6.3 - The sum of 146 and the product of a number raised...Ch. 6.3 - The square of the sum formed from adding five...Ch. 6.3 - The square root of the difference between half a...Ch. 6.3 - Six times a certain number plus the number is...Ch. 6.3 - The sum of a number and the number plus 2 is equal...Ch. 6.3 - Twice a number is 32 less than 4 times the number....Ch. 6.3 - The larger of two numbers is 10 more than the...Ch. 6.3 - The difference of two numbers is 6. The sum of the...Ch. 6.3 - Five times a number is equal to the number...Ch. 6.3 - Twice a number is 24 less than 4 times the number....Ch. 6.3 - The difference between one-half a number and the...Ch. 6.3 - Twelve more than a number is divided by 2. The...Ch. 6.3 - Eighteen less than a number is tripled, and the...Ch. 6.3 - A math class containing 57 students was divided...Ch. 6.3 - In 2011, the Coca-Cola company and PepsiCo had...Ch. 6.3 - The cost, including sales tax, of a Ford Focus SE...Ch. 6.3 - During the first day of a heat wave, an emergency...Ch. 6.3 - Three students that share a townhouse find that...Ch. 6.3 - If Marita invested half of her money at 8% and...Ch. 6.3 - A basketball team played 32 games and won 4 more...Ch. 6.3 - The enrollment of students in evening classes at a...Ch. 6.3 - If a television set is marked 13 off and sells for...Ch. 6.3 - A carpenter wanted to cut a 6-foot board into...Ch. 6.3 - The Halloween Association reported that last year,...Ch. 6.3 - In a charity triathlon, Mark ran half the distance...Ch. 6.3 - A nurse is told to give a patient recovering from...Ch. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - In 2011, there were 92 female officials in...Ch. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - If the perimeter of a triangular flower bed is 15...Ch. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Prob. 57ECh. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.3 - The temperature and the wind combine to cause body...Ch. 6.3 - Prob. 62ECh. 6.3 - The prevailing winds for air travel in the United...Ch. 6.3 - In an attempt to conserve energy (and, lets be...Ch. 6.3 - Winona has two jobs: one pays 11.25 per hour, and...Ch. 6.3 - Prob. 66ECh. 6.4 - From 1969 through 1977, there were 24 teams in...Ch. 6.4 - Find the ratio of 40 ounces to 2 pounds. (There...Ch. 6.4 - Decide if each proportion is true or false. (a)...Ch. 6.4 - Solve the proportion: x7=2225Ch. 6.4 - Solve the proportion: x+615=x25Ch. 6.4 - In 2012, roughly 13 of every 100 people in the...Ch. 6.4 - The staff biologists at a wildlife preserve tagged...Ch. 6.4 - A 6-month-old Labrador puppy gets 412 cups of food...Ch. 6.4 - Prob. 9TTOCh. 6.4 - Prob. 10TTOCh. 6.4 - Prob. 11TTOCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Describe the procedure for solving a proportion.Ch. 6.4 - What is the constant of proportionality in a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 716, write each ratio statement as a...Ch. 6.4 - For Exercises 1726, solve each proportion. 17....Ch. 6.4 - For Exercises 1726, solve each proportion. 18....Ch. 6.4 - For Exercises 1726, solve each proportion. 19....Ch. 6.4 - For Exercises 1726, solve each proportion. 20....Ch. 6.4 - For Exercises 1726, solve each proportion. 21....Ch. 6.4 - For Exercises 1726, solve each proportion. 22....Ch. 6.4 - For Exercises 1726, solve each proportion. 23....Ch. 6.4 - For Exercises 1726, solve each proportion. 24....Ch. 6.4 - For Exercises 1726, solve each proportion. 25....Ch. 6.4 - For Exercises 1726, solve each proportion. 26....Ch. 6.4 - The Information Resources Institute reports that...Ch. 6.4 - The U.S. Department of Agriculture reported that...Ch. 6.4 - Under normal conditions, 1.5 feet of snow will...Ch. 6.4 - The Travel Industry Association of America reports...Ch. 6.4 - A gallon of paint will cover 640 square feet of...Ch. 6.4 - The American Dietetic Association reported that 31...Ch. 6.4 - The U.S. Census Bureau reported that 9 out of...Ch. 6.4 - Angel took a 2-year lease on a new car and after 8...Ch. 6.4 - Out of every 80 iPods sold by a discount website,...Ch. 6.4 - The American Dietetic Association states that 11...Ch. 6.4 - Mark is interested in measuring the height of a...Ch. 6.4 - An online photo printing service will put any...Ch. 6.4 - A small college has 1,200 students and 80...Ch. 6.4 - The taxes on a house assessed at 64,000 are 1,600...Ch. 6.4 - According to a poll conducted by the Pew Research...Ch. 6.4 - Based on a combination of worldwide surveys...Ch. 6.4 - According to a poll conducted by the Gallup...Ch. 6.4 - A Gallup survey showed that in March 2011, 8 of...Ch. 6.4 - The amount of simple interest on a specific amount...Ch. 6.4 - The number of tickets purchased for a prize varies...Ch. 6.4 - Use the following information for Exercises 4750....Ch. 6.4 - Use the following information for Exercises 4750....Ch. 6.4 - Use the following information for Exercises 4750....Ch. 6.4 - Use the following information for Exercises 4750....Ch. 6.4 - Under certain conditions, the pressure of a gas...Ch. 6.4 - The strength of a particular beam varies inversely...Ch. 6.4 - In karate, the force needed to break a board...Ch. 6.4 - The weight of a body varies inversely with the...Ch. 6.4 - The time to complete a project is inversely...Ch. 6.4 - The intensity of sound varies inversely as the...Ch. 6.4 - Prob. 57ECh. 6.4 - Prob. 58ECh. 6.4 - Prob. 59ECh. 6.4 - Prob. 60ECh. 6.4 - Prob. 61ECh. 6.4 - Prob. 62ECh. 6.4 - Prob. 63ECh. 6.4 - Prob. 64ECh. 6.4 - Prob. 65ECh. 6.4 - Prob. 66ECh. 6.4 - Prob. 67ECh. 6.4 - Prob. 68ECh. 6.4 - Prob. 69ECh. 6.4 - Prob. 70ECh. 6.5 - Graph the solution set for each inequality. (a) y ...Ch. 6.5 - Solve and graph the solution set for 7x + 29 1.Ch. 6.5 - Solve and graph the solution set for 14 7x 56.Ch. 6.5 - Prob. 4TTOCh. 6.5 - Prob. 5TTOCh. 6.5 - Prob. 6TTOCh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - For Exercises 514, show the solutions using a...Ch. 6.5 - For Exercises 514, show the solutions using a...Ch. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - For Exercises 514, show the solutions using a...Ch. 6.5 - For Exercises 514, show the solutions using a...Ch. 6.5 - For Exercises 514, show the solutions using a...Ch. 6.5 - Prob. 13ECh. 6.5 - For Exercises 514, show the solutions using a...Ch. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - Prob. 20ECh. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - Prob. 24ECh. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - Prob. 36ECh. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - For Exercises 1558, solve each inequality and...Ch. 6.5 - Prob. 59ECh. 6.5 - Prob. 60ECh. 6.5 - Prob. 61ECh. 6.5 - Prob. 62ECh. 6.5 - Prob. 63ECh. 6.5 - Prob. 64ECh. 6.5 - Prob. 65ECh. 6.5 - Prob. 66ECh. 6.5 - Prob. 67ECh. 6.5 - Prob. 68ECh. 6.5 - Prob. 69ECh. 6.5 - Prob. 70ECh. 6.5 - Prob. 71ECh. 6.5 - Prob. 72ECh. 6.5 - Bill has three test grades of 95, 84, and 85 so...Ch. 6.5 - In order to get a C for her sociology course,...Ch. 6.5 - A health care researcher needs to hire volunteers...Ch. 6.5 - Prob. 76ECh. 6.5 - When renting a car for her trip, Janice has the...Ch. 6.5 - Prob. 78ECh. 6.5 - Prob. 79ECh. 6.5 - Dave works at the mall part-time for 9 per hour...Ch. 6.5 - Prob. 81ECh. 6.5 - Prob. 82ECh. 6.5 - Prob. 83ECh. 6.5 - Prob. 84ECh. 6.5 - On his first four tests, Alon got 65%, 72%, 85%,...Ch. 6.5 - Prob. 86ECh. 6.5 - Prob. 87ECh. 6.5 - Prob. 88ECh. 6.5 - It turns out that its possible to solve two-part...Ch. 6.5 - Prob. 90ECh. 6.5 - Prob. 91ECh. 6.5 - Prob. 92ECh. 6.5 - Prob. 93ECh. 6.5 - Prob. 94ECh. 6.5 - Prob. 95ECh. 6.5 - Prob. 96ECh. 6.6 - Write each quadratic equation in standard form and...Ch. 6.6 - Prob. 2TTOCh. 6.6 - Prob. 3TTOCh. 6.6 - Prob. 4TTOCh. 6.6 - Prob. 5TTOCh. 6.6 - Prob. 6TTOCh. 6.6 - Factor 3x2 11x + 6.Ch. 6.6 - Factor 6x2 + 25x + 21.Ch. 6.6 - Prob. 9TTOCh. 6.6 - Prob. 10TTOCh. 6.6 - Solve 3x2 5x + 1 = 0 using the quadratic formula.Ch. 6.6 - Prob. 12TTOCh. 6.6 - Prob. 13TTOCh. 6.6 - Prob. 1ECh. 6.6 - Prob. 2ECh. 6.6 - Prob. 3ECh. 6.6 - Prob. 4ECh. 6.6 - Prob. 5ECh. 6.6 - Prob. 6ECh. 6.6 - Prob. 7ECh. 6.6 - 4 2x2 = 7xCh. 6.6 - 10 = 30x2Ch. 6.6 - 8 = 4x2Ch. 6.6 - 5x = 2x2Ch. 6.6 - 100x = 50x2Ch. 6.6 - (x + 7)(x + 9)Ch. 6.6 - (x 8)(x 12)Ch. 6.6 - (y 7)(y 10)Ch. 6.6 - (y + 4)(y + 2)Ch. 6.6 - (x 15)(x + 8)Ch. 6.6 - (x + 10)(x 3)Ch. 6.6 - (2x 7)(7x 9)Ch. 6.6 - (4x l)(4x 1)Ch. 6.6 - (5z + 7)(3z 8)Ch. 6.6 - (2t 5)(3t + 8)Ch. 6.6 - x2 + x 12 = 0Ch. 6.6 - Prob. 24ECh. 6.6 - t2 14t = 51Ch. 6.6 - y2 y = 20Ch. 6.6 - x2 + 24x = 81Ch. 6.6 - x2 12x = 64Ch. 6.6 - y2 + 15 = 8yCh. 6.6 - z2 + 20 12z = 0Ch. 6.6 - 2x2 x 21 = 0Ch. 6.6 - 5x2 + 27x 18 = 0Ch. 6.6 - 6x2 x 12 = 0Ch. 6.6 - 4x2 + 13x 12 = 0Ch. 6.6 - 6m2 12 = mCh. 6.6 - 10k2 + 21k = 10Ch. 6.6 - 5x2 18 = 27xCh. 6.6 - Prob. 38ECh. 6.6 - 12x2+12x3=0Ch. 6.6 - Prob. 40ECh. 6.6 - Prob. 41ECh. 6.6 - Prob. 42ECh. 6.6 - 3x2 + x 1 = 0Ch. 6.6 - Prob. 44ECh. 6.6 - 2x2 5x = 12Ch. 6.6 - x2 + 5x 12 = 0Ch. 6.6 - 18y2 + 42y = 31Ch. 6.6 - 120 = 8t + 27t2Ch. 6.6 - 21x2 50 = 2 79xCh. 6.6 - 150y + 40 = 50y2 32Ch. 6.6 - x2 + 5x = 3Ch. 6.6 - 6x 1 4x2Ch. 6.6 - 13y2=7y10Ch. 6.6 - 52+y=4y2Ch. 6.6 - 75x12x2=3Ch. 6.6 - 1+113x2=15xCh. 6.6 - 0.2x2 + 1.2= 1.3xCh. 6.6 - Prob. 58ECh. 6.6 - 2.3 1.6z = z2Ch. 6.6 - 2.3t2 4.5 = 6.7tCh. 6.6 - 3x2+8=511xCh. 6.6 - 8x=7221x2Ch. 6.6 - The product of two consecutive even integers is...Ch. 6.6 - Prob. 64ECh. 6.6 - Prob. 65ECh. 6.6 - A clothing designer wants a distinctive triangular...Ch. 6.6 - Mama Mias Pizzeria offers two different sizes of...Ch. 6.6 - An urban hospital is adding one new nurse...Ch. 6.6 - To form part of a garden sculpture, an artist cuts...Ch. 6.6 - A marketing manager for a publishing company has a...Ch. 6.6 - The profit for a company that produces custom gift...Ch. 6.6 - A rectangular piece of cardboard has a length that...Ch. 6.6 - An interior designer plans to put a large rug in...Ch. 6.6 - A hamburger wrapper is thrown from a sixth floor...Ch. 6.6 - A rectangular piece of land that is 30 feet by 20...Ch. 6.6 - Dom and Sally conduct an experiment for extra...Ch. 6.6 - The distance it takes a particular type of car to...Ch. 6.6 - The surface area A of a cylinder is given by the...Ch. 6.6 - Two search planes are scrambled when a private jet...Ch. 6.6 - Prob. 80ECh. 6.6 - Prob. 81ECh. 6.6 - The roads Akani has to drive from home to school,...Ch. 6.6 - Prob. 83ECh. 6.6 - Prob. 84ECh. 6.6 - Prob. 85ECh. 6.6 - Prob. 86ECh. 6.6 - Prob. 87ECh. 6.6 - Prob. 88ECh. 6.6 - (a) Try to solve each of the equations in Exercise...Ch. 6.6 - Prob. 90ECh. 6 - For Exercises 17, simplify each algebraic...Ch. 6 - For Exercises 17, simplify each algebraic...Ch. 6 - For Exercises 17, simplify each algebraic...Ch. 6 - For Exercises 17, simplify each algebraic...Ch. 6 - For Exercises 17, simplify each algebraic...Ch. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - For Exercises 812, evaluate each algebraic...Ch. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - For Exercises 1321, solve each equation. 21....Ch. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - For Exercises 2831, write each statement in...Ch. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Cindy is making the drive home for Thanksgiving,...Ch. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - At one county detention facility, inmates...Ch. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - For Exercises 3942, write each ratio as a...Ch. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - A professor states that if a student misses a unit...Ch. 6 - Prob. 50RECh. 6 - The amount of paint needed to paint a spherical...Ch. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - For Exercises 6367, solve each equation by...Ch. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - For Exercises 6367, solve each equation by...Ch. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - For Exercises 1012, solve the inequality. 11....Ch. 6 - Prob. 12CTCh. 6 - Prob. 13CTCh. 6 - Prob. 14CTCh. 6 - Prob. 15CTCh. 6 - Prob. 16CTCh. 6 - Prob. 17CTCh. 6 - Prob. 18CTCh. 6 - Prob. 19CTCh. 6 - Prob. 20CTCh. 6 - Prob. 21CTCh. 6 - Prob. 22CTCh. 6 - A marketing company bought high-capacity flash...Ch. 6 - Prob. 24CTCh. 6 - Prob. 25CTCh. 6 - Prob. 26CTCh. 6 - Prob. 27CTCh. 6 - Prob. 28CT
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- Exercises 6–8, solve the 6. 24 33 9. You are in a hot air barrow_forwardFor Exercises 81–100, make an appropriate substitution and solve the equation. (See Examples 10–11) 81. (2x + 5)? – 7(2x + 5) - 30 = 0 82. (Зх — 7)? - 6(3х — 7)-16 3D 0 83. (x + 2x)? – 18(r + 2x) = -45 84. (x + 3x)? - 86. (у? — 3)? — 9(y? — 3) — 52 %3D 0 14(x + 3x) = -40 85. (x + 2)2 + (x + 2) – 42 = 0 10 2 10 - 61 m - - 27 = 0 x + + 35 = 0 87. 88. - 121 x + т - m m 89. 2 + 2 + = 12 90. + 3 + 6 + 3 = -8 91. 5c2/5 11c/5 + 2 = 0 92. З3 d'/3 – 4 = 0 93. y'/2 – y/4 6 = 0 94. n'/2 + 6n/4 – 16 = 0 95. 9y 10y + 1 = 0 96. 100х-4 29x-2 + 1 = 0 | 97. 4t – 25 Vi = 0 98. 9m – 16Vm = 0 100. 392 + 16q -1 99. 30k-2 – 23k- + 2 = 0 + 5 = 0arrow_forwardSolve the variation problems in Exercises 68–73. 68. A company's profit varies directly as the number of products it sells. The company makes a profit of $1175 on the sale of 25 products. What is the company's profit when it sells 105 products? 69. The distance that a body falls from rest varies directly as the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds? 70. The pitch of a musical tone varies inversely as its wavelength. A tone has a pitch of 660 vibrations per second and a wavelength of 1.6 feet. What is the pitch of a tone that has a wavelength of 2.4 feet? 71. The loudness of a stereo speaker, measured in decibels, varies inversely as the square of your distance from the speaker. When you are 8 feet from the speaker, the loudness is 28 decibels. What is the loudness when you are 4 feet from the speaker? 72. The time required to assemble computers varies directly as the number of computers assembled and inversely as…arrow_forward
- In Exercises 65–69, solve each equation. 2x 65. 3 1 + 1 6. 66. 2 10 2 2x 67. 3 68. 4 2 + 3 4 Зх + 1 13 1 - x 69. 3 2 4 6 ||arrow_forwardIn 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_forwardIn Exercises 105–107, solve each equation using a graphing utility. Graph each side separately in the same viewing rectangle. The solutions are the x-coordinates of the intersection points. 105. |x + 1|| 106. 13(x + 4)| = 12 107. 12x – 3| = 19 – 4x|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_forwardExercises 105–107 will help you prepare for the material covered in the next section. 105. Let x represent a number. a. Write an equation in x that describes the following conditions: Four less than three times the number is 32. b. Solve the equation and determine the number. 106. Let x represent the number of countries in the world that are not free. The number of free countries exceeds the number of not-free countries by 44. Write an algebraic expression that represents the number of free countries. 107. You purchase a new car for $20,000. Each year the value of the car decreases by $2500. Write an algebraic expression that represents the car's value, in dollars, after x years.arrow_forwardExercises 43–52: Complete the following. (a) Solve the equation symbolically. (b) Classify the equation as a contradiction, an identity, or a conditional equation. 43. 5x - 1 = 5x + 4 44. 7- 9: = 2(3 – 42) – z 45. 3(x - 1) = 5 46. 22 = -2(2x + 1.4) 47. 0.5(x – 2) + 5 = 0.5x + 4 48. 눈x-2(x-1)3-x + 2 2x + 1 2x 49. 50. x – 1.5 2- 3r - 1.5 51. -6 52. 0.5 (3x - 1) + 0.5x = 2x – 0.5arrow_forward
- 2. Solve: V3x + 4 = x 1. 4 2. 4,-1 3. -1 4. No solutionarrow_forwardFor Exercises 104–108, solve the equation. 104. 102 + 1210 = 0 105. x(x – 4) = -9 106. 6d/3 – 7d'/3 – 3 = 0 107. (2u? – 1)? –- 10(2u? – 1) + 9 = 0 - 4. 108. 2 + 1 リー: 4 + 1 :)- o |arrow_forwardIn Exercises 49–55, solve each rational equation. If an equation has no solution, so state. 3 1 + 3 49. 3 50. Зх + 4 2x - 8 1 3 6. 51. x + 5 x² 25 x + 5 52. x + 1 4x + 1 x + 2 x2 + 3x + 2 2 53. 3 - 3x .2 2 7 54. 4 x + 2 2x + 7 55. x + 5 8. x + 18 x - 4 x + x - 20arrow_forward
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