USING + UNDERSTANDING MATH CUSTOM
6th Edition
ISBN: 9780137721023
Author: Bennett
Publisher: PEARSON C
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Chapter 2.C, Problem 3QQ
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In a volatile housing market, the overall value of a home can be modeled by V(x) = 415x² - 4600x + 200000, where V represents the value of the home and x represents each year after 2020.
Part A: Find the vertex of V(x). Show all work.
Part B: Interpret what the vertex means in terms of the value of the home.
Show all work to solve 3x² + 5x - 2 = 0.
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
f(x)
h(x)
21
5
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3
f(x) = −2(x − 4)² +2
+
-5 -4-3-2-1
1
2
3
4
5
-1
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-3
5
Chapter 2 Solutions
USING + UNDERSTANDING MATH CUSTOM
Ch. 2.A - What does the word per mean? divided by multiplied...Ch. 2.A - Which of the following represents 4 square miles?...Ch. 2.A - If you multiply an area in square feet by a height...Ch. 2.A - There are 1760 yards in a mile. Therefore, one...Ch. 2.A - One square foot is equivalent to 12 square inches...Ch. 2.A - The fact that 1 liter = 1.057 quarts can be...Ch. 2.A - Prob. 7QQCh. 2.A - Prob. 8QQCh. 2.A - Prob. 9QQCh. 2.A - Prob. 10QQ
Ch. 2.A - What are units? Describe the meaning of key worxs...Ch. 2.A - Explain why a unit conversion really involves just...Ch. 2.A - Explain in words or with a picture why there are 9...Ch. 2.A - What are the basic metric units of length, mass,...Ch. 2.A - Prob. 5ECh. 2.A - Describe how to read and use the currency data in...Ch. 2.A - I drove at a speed of 35 miles for the entire...Ch. 2.A - I have a box with a volume of 2 square feet.Ch. 2.A - Prob. 9ECh. 2.A - I know a professional bicyclist who weight 300...Ch. 2.A - My friend ran 10,000 meters in less than an hour.Ch. 2.A - Prob. 12ECh. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - Prob. 17ECh. 2.A - Prob. 18ECh. 2.A - Math Review. The following exercises require the...Ch. 2.A - Prob. 20ECh. 2.A - Prob. 21ECh. 2.A - Using Key Words. Show operations and units clearly...Ch. 2.A - Prob. 23ECh. 2.A - Using Key Words. Show operations and units clearly...Ch. 2.A - Prob. 25ECh. 2.A - Prob. 26ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 28ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 30ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 32ECh. 2.A - Prob. 33ECh. 2.A - Prob. 34ECh. 2.A - Prob. 35ECh. 2.A - Prob. 36ECh. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Prob. 38ECh. 2.A - Prob. 39ECh. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Prob. 41ECh. 2.A - Prob. 42ECh. 2.A - Conversions with Square and Cubic Units. 43.Find a...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - Conversions with Square and Cubic Units. 45.A new...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - Conversions with Square and Cubic Units. 47.An air...Ch. 2.A - Prob. 48ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Prob. 50ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Prob. 52ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 56ECh. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 58ECh. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 60ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 62ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 64ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 66ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 68ECh. 2.A - Celsius-Fahrenheit Conversions. Convert the...Ch. 2.A - Prob. 70ECh. 2.A - Celsius-Kelvin Conversions. Convert the following...Ch. 2.A - Prob. 72ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Prob. 74ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Prob. 76ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Professional Basketball Salaries. In the 2012-2013...Ch. 2.A - Full of Hot Air. The average person breathes 6...Ch. 2.A - Busy Reading. Suppose you have a tablet with a...Ch. 2.A - Landscaping Project. Suppose that you are planning...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - The Cullinan Diamond. The Cullinan diamond is the...Ch. 2.A - Prob. 88ECh. 2.A - Prob. 89ECh. 2.A - Prob. 90ECh. 2.A - Use carats and karats, as discussed in the In Your...Ch. 2.A - Prob. 92ECh. 2.A - Metric Area. When the metric system was first...Ch. 2.A - Measuring drops. Medication is often delivered...Ch. 2.A - Prob. 95ECh. 2.A - Drug Dosage. The label on a particular drug...Ch. 2.A - False Advertising? A Goodyear tire commercial...Ch. 2.A - 98. Units on the highway. Next time you are on the...Ch. 2.A - Are the units clear? Find a news story that...Ch. 2.A - Prob. 100ECh. 2.A - Prob. 101ECh. 2.A - South American Adventure. Suppose you are planning...Ch. 2.A - Currency Conversions. Use internet to convert $100...Ch. 2.A - Prob. 104ECh. 2.B - To end up with units of speed, you need to...Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - Which of the following is not a unit of energy? a....Ch. 2.B - You want to know how much total energy is required...Ch. 2.B - New Mexico has a population density of about 12...Ch. 2.B - The concentration of carbon dioxide in earth’s...Ch. 2.B - The guidelines for a particular drug specify a...Ch. 2.B - A blood alcohol content (BAC) of 0.08gm/100 ml...Ch. 2.B - Prob. 10QQCh. 2.B - Prob. 1ECh. 2.B - What is energy? List at least three common units...Ch. 2.B - Prob. 3ECh. 2.B - what do we mean by density? What do we mean by...Ch. 2.B - Prob. 5ECh. 2.B - Prob. 6ECh. 2.B - My daily food intake gives me about 10 million...Ch. 2.B - Our utility company charges 10$ per watt for the...Ch. 2.B - The beach ball we played with had a density of 10...Ch. 2.B - Prob. 10ECh. 2.B - The nurse gave a 100-kilogram man twice as large a...Ch. 2.B - Prob. 12ECh. 2.B - An airliner travels 45 miles in 5 minutes. What is...Ch. 2.B - what is the total cost of 1.2 cubic yards of soil...Ch. 2.B - A hose fills a hot tub at a rate of 3.2 gallons...Ch. 2.B - Competition speed skydivers have reached record...Ch. 2.B - How much would you pay for 2.5 ounces of gold at a...Ch. 2.B - Suppose you earn $8.50 per hour and work 24...Ch. 2.B - In 2008,565,650 Americans died of (all forms of)...Ch. 2.B - In 2008, about 310,000 Americans died of sudden...Ch. 2.B - There are approximately 3 million births in the...Ch. 2.B - During a long road trip, you drive 420 miles on a...Ch. 2.B - Prob. 23ECh. 2.B - Prob. 24ECh. 2.B - Prob. 25ECh. 2.B - Prob. 26ECh. 2.B - Prob. 27ECh. 2.B - Prob. 28ECh. 2.B - Prob. 29ECh. 2.B - Prob. 30ECh. 2.B - Prob. 31ECh. 2.B - Prob. 32ECh. 2.B - Prob. 33ECh. 2.B - 34. You can rent a storage locker for $32/yd2 per...Ch. 2.B - Prob. 35ECh. 2.B - Prob. 36ECh. 2.B - Gas mileage actually varies slightly with the...Ch. 2.B - Suppose your car averages 32 miles per gallon on...Ch. 2.B - Greenland ice sheet. The Greenland ice sheet...Ch. 2.B - Volcanic eruption. The greatest volcanic eruption...Ch. 2.B - Prob. 41ECh. 2.B - Prob. 42ECh. 2.B - Your utility company charges 13$ per kilowatt-hour...Ch. 2.B - Energy Savings. For these questions, assume 365...Ch. 2.B - Prob. 45ECh. 2.B - Prob. 46ECh. 2.B - Prob. 47ECh. 2.B - Densities. Compute the following densities using...Ch. 2.B - Densities. Compute the following densities using...Ch. 2.B - Prob. 50ECh. 2.B - 51-52. Medication Doses.
51. The antihistamine...Ch. 2.B - 51-52. Medication Doses.
52. Suppose a dose of...Ch. 2.B - Blood Alcohol Content: Wine. A typical glass of...Ch. 2.B - Prob. 54ECh. 2.B - Prob. 55ECh. 2.B - Prob. 56ECh. 2.B - Prob. 57ECh. 2.B - Prob. 58ECh. 2.B - Prob. 59ECh. 2.B - Prob. 60ECh. 2.B - Prob. 61ECh. 2.B - 62-67: Drug Dosing.
62. Solution Concentrations....Ch. 2.B - 62-67: Drug Dosing.
64. Infusion Rates for...Ch. 2.B - 62-67: Drug Dosing.
65. Infusion Rates for...Ch. 2.B - Prob. 66ECh. 2.B - Drug Dosing. 67. Administering Penicillin. A...Ch. 2.B - Prob. 68ECh. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - Prob. 71ECh. 2.B - Prob. 72ECh. 2.B - Prob. 73ECh. 2.B - Prob. 74ECh. 2.B - Prob. 75ECh. 2.B - Wind Power: One Turbine. Modern wind energy...Ch. 2.B - Prob. 77ECh. 2.B - Prob. 78ECh. 2.B - Prob. 79ECh. 2.B - Fertilizing Winter Wheat. Guidelines for the...Ch. 2.B - Prob. 81ECh. 2.B - Prob. 82ECh. 2.B - Prob. 83ECh. 2.B - 84. Air Pollution. Investigate the average...Ch. 2.B - Alcohol Poisoning. Research some aspects of the...Ch. 2.B - Utility Bill. Analyze a utility bill. Explain all...Ch. 2.C - 1. A quantitative problem from daily life
a....Ch. 2.C - Prob. 2QQCh. 2.C - Prob. 3QQCh. 2.C - Prob. 4QQCh. 2.C - Prob. 5QQCh. 2.C - Prob. 6QQCh. 2.C - Prob. 7QQCh. 2.C - 8. Forty balls numbered 1 through 40 are mixed up...Ch. 2.C - 9. Karen arrives at the subway station every day...Ch. 2.C - Prob. 10QQCh. 2.C - 1. Describe the four steps of problem solving.
Ch. 2.C - Summarize the strategic hints for problem solving...Ch. 2.C - My simple problem-solving recipe will enable you...Ch. 2.C - 4. Whether it’s a problem in mathematics or...Ch. 2.C - The four-step problem-solving method given in this...Ch. 2.C - Prob. 6ECh. 2.C - A Toll Booth. A toll collector on a highway...Ch. 2.C - Prob. 8ECh. 2.C - A Second Race. Jordan and Amari run a 200-meter...Ch. 2.C - Cars and Canaries. Two cars, 360 kilometers apart,...Ch. 2.C - Mixing Marbles. Consider the case in which each of...Ch. 2.C - 12. Coiling Problems. Eight turns of a wire are...Ch. 2.C - 13 Bowed Rail. Suppose a railroad rail is 1...Ch. 2.C - 14. China’s Population. To convince yourself that...Ch. 2.C - Alternative Thinking: The Monk and the Mountain. A...Ch. 2.C - Prob. 16ECh. 2.C - Prob. 17ECh. 2.C - Prob. 18ECh. 2.C - Prob. 19ECh. 2.C - Prob. 20ECh. 2.C - Prob. 21ECh. 2.C - Prob. 22ECh. 2.C - Prob. 23ECh. 2.C - Prob. 24ECh. 2.C - Prob. 25ECh. 2.C - Prob. 26ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Prob. 29ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 33ECh. 2.C - Prob. 34ECh. 2.C - Prob. 35ECh. 2.C - Prob. 36ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 39ECh. 2.C - Prob. 40ECh. 2.C - Prob. 41ECh. 2.C - Prob. 42ECh. 2.C - Prob. 43ECh. 2.C - Prob. 44ECh. 2.C - Prob. 45ECh. 2.C - Prob. 46ECh. 2.C - Prob. 47ECh. 2.C - Prob. 48ECh. 2.C - 49. Textbook Analysis. Although research shows...Ch. 2.C - Prob. 50ECh. 2.C - Prob. 51ECh. 2.C - 52. Multiple Solutions. Find an example of a real...Ch. 2.C - 53. Multiple Strategies. Find an example of a real...Ch. 2.C - Prob. 54E
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- The functions f(x) = (x + 1)² - 2 and g(x) = (x-2)² + 1 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.arrow_forwardTotal marks 15 3. (i) Let FRN Rm be a mapping and x = RN is a given point. Which of the following statements are true? Construct counterex- amples for any that are false. (a) If F is continuous at x then F is differentiable at x. (b) If F is differentiable at x then F is continuous at x. If F is differentiable at x then F has all 1st order partial (c) derivatives at x. (d) If all 1st order partial derivatives of F exist and are con- tinuous on RN then F is differentiable at x. [5 Marks] (ii) Let mappings F= (F1, F2) R³ → R² and G=(G1, G2) R² → R² : be defined by F₁ (x1, x2, x3) = x1 + x², G1(1, 2) = 31, F2(x1, x2, x3) = x² + x3, G2(1, 2)=sin(1+ y2). By using the chain rule, calculate the Jacobian matrix of the mapping GoF R3 R², i.e., JGoF(x1, x2, x3). What is JGOF(0, 0, 0)? (iii) [7 Marks] Give reasons why the mapping Go F is differentiable at (0, 0, 0) R³ and determine the derivative matrix D(GF)(0, 0, 0). [3 Marks]arrow_forward5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima of f on R². (ii) [10 Marks] Give an example of a function f: R2 R which is not bounded above and has exactly one critical point, which is a minimum. Justify briefly Total marks 15 your answer. [5 Marks]arrow_forward
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- 12) The prime factors of 1365 are 3, 5, 7 and 13. Determine the total number of divisors of 1365.arrow_forward11) What is the sum of numbers in row #8 of Pascal's Triangle?arrow_forward14) Seven students and three teachers wish to join a committee. Four of them will be selected by the school administration. What is the probability that three students and one teacher will be selected?arrow_forward
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