MYLAB MATH COLLEGE ALGEBRA IN CONTEXT
6th Edition
ISBN: 9780135823002
Author: HARSHBARGER
Publisher: PEARSON
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Textbook Question
Chapter 2.3, Problem 11E
In Exercises 11–14, solve the systems of equations by substitution.
11.
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Pidgeonhole Principle
1. The floor of x, written [x], also called the integral part, integer part, or greatest integer, is defined
as the greatest integer less than or equal to x. Similarly the ceiling of x, written [x], is the smallest
integer greater than or equal to x. Try figuring out the answers to the following:
(a) [2.1]
(b) [2]
(c) [2.9]
(d) [2.1]
(e) [2]
(f) [2.9]
2. The simple pidgeonhole principle states that, if you have N places and k items (k> N), then at
least one hole must have more than one item in it. We tried this with chairs and students: Assume you
have N = 12 chairs and k = 18 students. Then at least one chair must have more than one student on
it.
3. The general pidgeonhole principle states that, if you have N places and k items, then at least one
hole must have [] items or more in it. Try this out with
(a) n = 10 chairs and k = 15 students
(b) n = 10 chairs and k = 23 students
(c) n = 10 chairs and k = 20 students
4. There are 34 problems on these pages, and we…
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
O linearly dependent
Save Answer
Q2.2
1 Point
Determine if the set of vectors spans R³.
they span R³
they do not span R³
Save Answer
23
Q2.3
1 Point
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
O linearly dependent
Save Answer
1111
1110
Q2.4
1 Point
Determine if the set of vectors spans R4.
O they span R4
they do not span IR4
1000;
111O'
The everything combined problem
Suppose that a computer science laboratory has 15 workstations and 10 servers. A cable can be used to
directly connect a workstation to a server. For each server, only one direct connection to that server can be
active at any time.
1. How many cables would you need to connect each station to each server?
2. How many stations can be used at one time?
3. How many stations can not be used at any one time?
4. How many ways are there to pick 10 stations out of 15?
5. (This one is tricky) We want to guarantee that at any time any set of 10 or fewer workstations can
simultaneously access different servers via direct connections. What is the minimum number of direct
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Chapter 2 Solutions
MYLAB MATH COLLEGE ALGEBRA IN CONTEXT
Ch. 2.1 - In Exercises 112, solve the equations. 1. 5x 14 =...Ch. 2.1 - In Exercises 112, solve the equations. 2. 3x 2 =...Ch. 2.1 - In Exercises 112, solve the equations. 3. 3(x 7)...Ch. 2.1 - In Exercises 112, solve the equations. 4. 5(y 6)...Ch. 2.1 - In Exercises 112, solve the equations. 5....Ch. 2.1 - In Exercises 112, solve the equations. 6....Ch. 2.1 - In Exercises 112, solve the equations. 7....Ch. 2.1 - In Exercises 112, solve the equations. 8....Ch. 2.1 - In Exercises 112, solve the equations. 9. 5.92t =...Ch. 2.1 - In Exercises 112, solve the equations. 10. 0.023x...
Ch. 2.1 - In Exercises 112, solve the equations. 11....Ch. 2.1 - In Exercises 112, solve the equations. 12....Ch. 2.1 - 3(x 1) + 5 = 4(x 3) 2(2x 3)Ch. 2.1 - 5x (x 2) + 7 = (2x 9) 8(3x + 6)Ch. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - In Exercises 3340, solve the equations using...Ch. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Solve V=13r2h for h.Ch. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - Prob. 50ECh. 2.1 - Prob. 51ECh. 2.1 - Temperature Conversion The equation 5F 9C = 160...Ch. 2.1 - Prob. 53ECh. 2.1 - Prob. 54ECh. 2.1 - Prob. 55ECh. 2.1 - Prob. 56ECh. 2.1 - Prob. 57ECh. 2.1 - Reading Score The average reading score on the...Ch. 2.1 - Prob. 59ECh. 2.1 - Prob. 60ECh. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.1 - Prob. 63ECh. 2.1 - Prob. 64ECh. 2.1 - Prob. 65ECh. 2.1 - Population of Females Under 18 Using projected...Ch. 2.1 - Prob. 67ECh. 2.1 - Prob. 68ECh. 2.1 - Prob. 69ECh. 2.1 - Prob. 70ECh. 2.1 - Prob. 71ECh. 2.1 - Prob. 72ECh. 2.1 - Prob. 73ECh. 2.1 - Prob. 74ECh. 2.1 - Prob. 75ECh. 2.1 - Salaries A man earning 100,000 per year has his...Ch. 2.1 - Prob. 77ECh. 2.1 - Prob. 78ECh. 2.1 - Prob. 79ECh. 2.1 - Prob. 80ECh. 2.1 - Prob. 81ECh. 2.1 - Investment If an investment at 7% simple interest...Ch. 2.1 - Prob. 83ECh. 2.1 - Prob. 84ECh. 2.1 - Prob. 85ECh. 2.1 - Prob. 86ECh. 2.1 - Prob. 87ECh. 2.1 - Land Cost The cost of land in Savannah is directly...Ch. 2.2 - Report models to three decimal places unless...Ch. 2.2 - Report models to three decimal places unless...Ch. 2.2 - Discuss whether the data shown in the scatter...Ch. 2.2 - Prob. 4ECh. 2.2 - Create a scatter plot for each of the sets of data...Ch. 2.2 - Create a scatter plot for each of the sets of data...Ch. 2.2 - Can the scatter plot in Exercise 5 be fit exactly...Ch. 2.2 - Can the scatter plot in Exercise 6 be fit exactly...Ch. 2.2 - Find the linear function that is the best fit for...Ch. 2.2 - Find the linear function that is the best fit for...Ch. 2.2 - Use the data in the following table for Exercises...Ch. 2.2 - Use the data in the following table for Exercises...Ch. 2.2 - Use the data in the following table for Exercises...Ch. 2.2 - Use the data in the following table for Exercises...Ch. 2.2 - Use the data in the table for Exercises 1518. 15....Ch. 2.2 - Use the data in the table for Exercises 1518. 16....Ch. 2.2 - Use the data in the table for Exercises 1518. 17....Ch. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Social Security Benefits The figure shows how...Ch. 2.2 - Future Value of an Investment If 1000 is invested...Ch. 2.2 - Drug Doses The table below shows the usual dosage...Ch. 2.2 - Cardiac Health A Paramount elliptical machine...Ch. 2.2 - Disposable Income Disposable income is the amount...Ch. 2.2 - Oil Imports Crude oil and petroleum products are...Ch. 2.2 - Annual Wage The table gives the average annual...Ch. 2.2 - Consumer Price Index The table on the next page...Ch. 2.2 - Diabetes As the following table shows, projections...Ch. 2.2 - Carbon Dioxide Emissions The table gives the...Ch. 2.2 - U.S. Population Over Age 16 The table gives the...Ch. 2.2 - U.S. Population The following table gives...Ch. 2.2 - Prob. 37ECh. 2.2 - Non-White Population The graph gives the number of...Ch. 2.2 - Prob. 39ECh. 2.2 - Civilian Labor Force The table gives the size of...Ch. 2.2 - Obesity People who are severely obese (BMI 40)...Ch. 2.2 - Male Civilian Labor Force The table gives the male...Ch. 2.2 - Population of the World The table on the following...Ch. 2.2 - Prob. 44ECh. 2.2 - Prob. 45ECh. 2.3 - Determine if each ordered pair is a solution of...Ch. 2.3 - Determine if each ordered pair is a solution of...Ch. 2.3 - What are the coordinates of the point of...Ch. 2.3 - Give the coordinates of the point of intersection...Ch. 2.3 - In Exercises 58, solve the systems of equations...Ch. 2.3 - In Exercises 58, solve the systems of equations...Ch. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - In Exercises 1114, solve the systems of equations...Ch. 2.3 - In Exercises 1114, solve the systems of equations...Ch. 2.3 - In Exercises 1114, solve the systems of equations...Ch. 2.3 - Prob. 14ECh. 2.3 - In Exercises 1524, solve the systems of equations...Ch. 2.3 - Prob. 16ECh. 2.3 - In Exercises 1524, solve the systems of equations...Ch. 2.3 - Prob. 18ECh. 2.3 - In Exercises 1524, solve the systems of equations...Ch. 2.3 - Prob. 20ECh. 2.3 - In Exercises 1524. solve the systems of equations...Ch. 2.3 - Prob. 22ECh. 2.3 - In Exercises 1524, solve the systems of equations...Ch. 2.3 - Prob. 24ECh. 2.3 - In Exercises 2534, solve the systems of equations...Ch. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - Prob. 30ECh. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Break-Even A manufacturer of automobile air...Ch. 2.3 - Prob. 39ECh. 2.3 - Prob. 40ECh. 2.3 - Concerta and Ritalin Concerta and Ritalin are two...Ch. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Age at First Marriage and First Birth The graph...Ch. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Prob. 50ECh. 2.3 - Investment One safe investment pays 8% per year,...Ch. 2.3 - Investment A woman invests 52,000 in two different...Ch. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.3 - Prob. 62ECh. 2.3 - Prob. 63ECh. 2.3 - Prob. 64ECh. 2.3 - Prob. 65ECh. 2.3 - Prob. 66ECh. 2.3 - Market Equilibrium A retail chain will buy 900...Ch. 2.4 - In Exercises 112, solve the inequalities both...Ch. 2.4 - In Exercises 112, solve the inequalities both...Ch. 2.4 - In Exercises 112, solve the inequalities both...Ch. 2.4 - In Exercises 112, solve the inequalities both...Ch. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - In Exercises 112, solve the inequalities both...Ch. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - In Exercises 13 and 14, solve graphically by the...Ch. 2.4 - In Exercises 13 and 14, solve graphically by the...Ch. 2.4 - In Exercises 15 and 16, solve graphically by the...Ch. 2.4 - In Exercises 15 and 16, solve graphically by the...Ch. 2.4 - The graphs of two linear functions f and g are...Ch. 2.4 - The graphs of three linear functions f, g, and h...Ch. 2.4 - In Exercises 1928, solve the double inequalities....Ch. 2.4 - In Exercises 1928, solve the double inequalities....Ch. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - In Exercises 1928, solve the double inequalities....Ch. 2.4 - Depreciation Suppose a business purchases...Ch. 2.4 - Blood Alcohol Percent The blood alcohol percent p...Ch. 2.4 - Freezing The equation F=92C+32 gives the...Ch. 2.4 - Prob. 32ECh. 2.4 - Job Selection Deb Cook is given the choice of two...Ch. 2.4 - Stock Market Susan Mason purchased 1000 shares of...Ch. 2.4 - Grades If Stan Cook has a course average score...Ch. 2.4 - Grades If John Deal has a course average score...Ch. 2.4 - Cigarette Use The percent of 12th graders who have...Ch. 2.4 - Prob. 38ECh. 2.4 - Social Security A person scheduled to receive a...Ch. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prison Sentences The mean time y spent in prison...Ch. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Home Appraisal A home purchased in 1996 for...Ch. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Prob. 48ECh. 2.4 - Break-Even A large hardware stores monthly profit...Ch. 2.4 - Prob. 50ECh. 2.4 - Break-Even A company produces a logic board for...Ch. 2.4 - Prob. 52ECh. 2.4 - Prob. 53ECh. 2.4 - Prob. 54ECh. 2.4 - Prob. 55ECh. 2.4 - Prob. 56ECh. 2 - In Exercises 18, state the property (or...Ch. 2 - Prob. 2TECh. 2 - Prob. 3TECh. 2 - Prob. 4TECh. 2 - Prob. 5TECh. 2 - Prob. 6TECh. 2 - In Exercises 18, state the property (or...Ch. 2 - In Exercises 18, state the property (or...Ch. 2 - Prob. 9TECh. 2 - Prob. 10TECh. 2 - Prob. 11TECh. 2 - Prob. 12TECh. 2 - Prob. 13TECh. 2 - Prob. 14TECh. 2 - Prob. 15TECh. 2 - Prob. 16TECh. 2 - Prob. 17TECh. 2 - In Exercises 1720, use the Substitution Property...Ch. 2 - Prob. 19TECh. 2 - Prob. 20TECh. 2 - Prob. 21TECh. 2 - Prob. 22TECh. 2 - Prob. 23TECh. 2 - Prob. 24TECh. 2 - Prob. 25TECh. 2 - Prob. 26TECh. 2 - Prob. 27TECh. 2 - Prob. 28TECh. 2 - Prob. 29TECh. 2 - Prob. 30TECh. 2 - Prob. 31TECh. 2 - Prob. 32TECh. 2 - Prob. 33TECh. 2 - Prob. 34TECh. 2 - Prob. 35TECh. 2 - Prob. 36TECh. 2 - Prob. 37TECh. 2 - Prob. 38TECh. 2 - Prob. 39TECh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Heart Rate The table gives the desired heart rate...Ch. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RE
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