
Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9.2, Problem 1E
Solve each pair of linear equations by addition. If there is one common solution, give the ordered pair of the point of intersection. If there no one common solution, tell whether the lines are parallel or coincide.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
dx
Chapter 9 Solutions
Elementary Technical Mathematics
Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 2ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Draw the graphs of each pair of linear equations....
Ch. 9.1 - Prob. 11ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 21ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Solve Exercises 27-30 graphically: In a concrete...Ch. 9.1 - Prob. 30ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 26ECh. 9.4 - A board 96 cm long is cut into two pieces so that...Ch. 9.4 - Find the capacity of two trucks if 6 trips of the...Ch. 9.4 - A plumbing contractor decides to field-test two...Ch. 9.4 - A bricklayer lays an average of 150 bricks per...Ch. 9.4 - Two welders worked a total of 48 h on a project....Ch. 9.4 - A contractor finds a bill for $1110 for 720...Ch. 9.4 - A farmer has two types of feed. One has 5%...Ch. 9.4 - A dairy farmer wants to make 125 lb of 12%...Ch. 9.4 - A farmer sells corn for $6.00/bu and soybeans for...Ch. 9.4 - A farmer has a 1.4% solution and a 2.9% solution...Ch. 9.4 - A farmer has a 6% solution and a 12% solution of...Ch. 9.4 - The sum of two capacitors is 85 microfarads (F)....Ch. 9.4 - Nine batteries are hooked in series to provide a...Ch. 9.4 - In a parallel circuit, the total current passing...Ch. 9.4 - How much of an 8% solution and a 12% solution...Ch. 9.4 - The total current in a parallel circuit with seven...Ch. 9.4 - A small single-cylinder engine was operated on a...Ch. 9.4 - In testing a hybrid engine, various solutions of...Ch. 9.4 - An engine on a test stand was operated at two...Ch. 9.4 - A technician stores a parts cleaner as a 65%...Ch. 9.4 - Amy has a 3% solution and an 8% solution of a...Ch. 9.4 - A lawn seed mix containing 8% bluegrass is mixed...Ch. 9.4 - When three identical compressors and five air...Ch. 9.4 - A hospital has 35% saline solution on hand. How...Ch. 9.4 - A nurse gives 1000 mL of an intravenous (IV)...Ch. 9.4 - A hospital has a 4% saline solution and an 8%...Ch. 9.4 - A medication is available in 2-mL vials and in...Ch. 9.4 - A salesman turns in a ticket on two carpets for...Ch. 9.4 - An apartment owner rents one-bedroom apartments...Ch. 9.4 - A sporting goods store carries two types of...Ch. 9.4 - The sum of two resistors is 550 . One is 4.5 times...Ch. 9.4 - The ratio of gravel to cement in a concrete mix is...Ch. 9.4 - A wire 120 cm long is to be cut into two pieces so...Ch. 9.4 - The sum of two resistances is 1500 . The larger is...Ch. 9.4 - A rectangle is twice as long as it is wide. Its...Ch. 9.4 - A duct from a furnace forks into two ducts. The...Ch. 9.4 - The sum of three currents is 210 mA. Two currents...Ch. 9.4 - An experienced welder makes 53 as many welds as a...Ch. 9.4 - On a survey plat, the perimeter of a rectangular-...Ch. 9.4 - A supply duct is to run the perimeter of a...Ch. 9.4 - In a drawing, the perimeter of a room is 40 ft. If...Ch. 9.4 - A rectangular walkway in front of an office...Ch. 9.4 - If the length of a building is 212 times the width...Ch. 9.4 - The center-to-center distance between a fan and a...Ch. 9.4 - A carpenter starts with a board that is 12 ft long...Ch. 9.4 - Taughannock Falls near Ithaca, New York, is about...Ch. 9.4 - Ground corn and soybean meal are blended to...Ch. 9.4 - Two rental airplanes were flown a total of 54 h in...Ch. 9.4 - Jim bought both a municipal bond paying 3.5% and a...Ch. 9.4 - Chef Ruth has 90% lean ground beef and also 75%...Ch. 9.4 - A coffee shop has tables that seat 6 guests and...Ch. 9.4 - The Open Late Restaurant sells chili in cups and...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Solve each system of equations: x+y=72xy=2Ch. 9 - Solve each system of equations: 3x+2y=11x+2y=5Ch. 9 - Solve each system of equations: 3x5y=32x3y=1Ch. 9 - Solve each system of equations: 2x3y=14x6y=5Ch. 9 - Solve each system of equations: 3x+5y=86x4y=44Ch. 9 - Solve each system of equations: 5x+7y=224x+8y=20Ch. 9 - Solve each system of equations: x+2y=33x+6y=9Ch. 9 - Solve each system of equations: 3x+5y=52y=2xCh. 9 - Solve each system of equations: 5y4x=6x=12yCh. 9 - Solve each system of equations: 3x7y=69y=4x+5Ch. 9 - You can buy twenty 20-amp electrical switches and...Ch. 9 - The sum of the length and width of a rectangular...Ch. 9 - The sum of two inductors is 90 millihenrys (mH)....Ch. 9 - The sum of two lengths is 90 ft, and their...Ch. 9 - Solve each system of equations by the method...Ch. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Prob. 9TCh. 9 - The perimeter of a rectangular lot is 600 m. The...Ch. 9 - The sum of two resistances is 550 . The difference...
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
- Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?arrow_forwardFind the indefinite integral. Check Answer: In(5x) dx xarrow_forwardHow to solve 2542000/64132 without a calculator?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell

Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL

College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY