Intermediate Algebra, Books a la Carte Edition, Plus MyLab Math -- Access Card Package (13th Edition)
13th Edition
ISBN: 9780134679884
Author: Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson
Publisher: PEARSON
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Textbook Question
Chapter 3.7, Problem 14ES
b Graph each inequality on a plane.
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1.2.19. Let and s be natural numbers. Let G be the simple graph with vertex set
Vo... V„−1 such that v; ↔ v; if and only if |ji| Є (r,s). Prove that S has exactly k
components, where k is the greatest common divisor of {n, r,s}.
Question 3
over a field K.
In this question, MË(K) denotes the set of n × n matrices
(a) Suppose that A Є Mn(K) is an invertible matrix. Is it always true that A is
equivalent to A-¹? Justify your answer.
(b) Let B be given by
8
B = 0 7 7
0 -7 7
Working over the field F2 with 2 elements, compute the rank of B as an element
of M2(F2).
(c) Let
1
C
-1 1
[4]
[6]
and consider C as an element of M3(Q). Determine the minimal polynomial
mc(x) and hence, or otherwise, show that C can not be diagonalised.
[7]
(d) Show that C in (c) considered as an element of M3(R) can be diagonalised. Write
down all the eigenvalues. Show your working.
[8]
R denotes the field of real numbers, Q denotes the field of rationals, and
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results from lectures.
Question 1
For each non-negative integer m, let R[x]m denote the
vector space consisting of the polynomials in x with coefficients in R and of degree ≤ m.
x²+2, V3 = 5. Prove that (V1, V2, V3) is a linearly independent
(a) Let vi = x, V2 =
list in R[x] 3.
(b) Let V1, V2, V3 be as defined in (a). Find a vector v € R[×]3 such that (V1, V2, V3, V4)
is a basis of R[x] 3.
[8]
[6]
(c) Prove that the map ƒ from R[x] 2 to R[x]3 given by f(p(x)) = xp(x) — xp(0) is a
linear map.
[6]
(d) Write down the matrix for the map ƒ defined in (c) with respect to the basis
(2,2x + 1, x²) of R[x] 2 and the basis (1, x, x², x³) of R[x] 3.
[5]
Chapter 3 Solutions
Intermediate Algebra, Books a la Carte Edition, Plus MyLab Math -- Access Card Package (13th Edition)
Ch. 3.1 - Graph linear equations.[2.1c] Graph. x+y=3Ch. 3.1 - Graph linear equations. [2.1c]
Graph.
2.
Ch. 3.1 - Solve each system graphically. 2x+y=1,3x+y=1Ch. 3.1 - Solve each system graphically.
2.
Ch. 3.1 - Solve graphically: y+2x=3,y+2x=4.Ch. 3.1 - Classify each of the systems in Margin Exercises...Ch. 3.1 - Solve graphically: 2x5y=10,6x+15y=30.Ch. 3.1 - Classify the equations in Margin Exercises 1, 2,...Ch. 3.1 - 7. a. Solve algebraically:
b. Solve...Ch. 3.1 - 8. Solve graphically using method 1.
Ch. 3.1 - 9. a. Solve graphically using method 2.
b....Ch. 3.1 - 10. Solve graphically using method 2.
Ch. 3.1 - Prob. 1CCECh. 3.1 - Prob. 2CCECh. 3.1 - Prob. 3CCECh. 3.1 - Prob. 4CCECh. 3.1 - Determine whether each statement is true or false....Ch. 3.1 - Determine whether each statement is true or...Ch. 3.1 - Determine whether each statement is true or...Ch. 3.1 - Determine whether each statement is true or false....Ch. 3.1 - Prob. 1CCCh. 3.1 - Prob. 2CCCh. 3.1 - Prob. 3CCCh. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - Prob. 19ESCh. 3.1 - a Solve each system of equations graphically. Then...Ch. 3.1 - Matching. Each of Exercises 21–26 shows the graph...Ch. 3.1 - Matching. Each of Exercises 2126 shows the graph...Ch. 3.1 - Matching. Each of Exercises 2126 shows the graph...Ch. 3.1 - Prob. 24ESCh. 3.1 - Prob. 25ESCh. 3.1 - Prob. 26ESCh. 3.1 - Prob. 27ESCh. 3.1 - Prob. 28ESCh. 3.1 - Solve. [1.1d] 4x5x=8x9+11xCh. 3.1 - Solve. [1.1d]
30.
Ch. 3.1 - Prob. 31ESCh. 3.1 - Prob. 32ESCh. 3.1 - Prob. 33ESCh. 3.1 - Prob. 34ESCh. 3.1 - Prob. 35ESCh. 3.1 - Prob. 36ESCh. 3.2 - Prob. 1SRCh. 3.2 - Prob. 2SRCh. 3.2 - Prob. 1DECh. 3.2 - Prob. 2DECh. 3.2 - Solve by the substitution method. y+x=1,y2x=8Ch. 3.2 - Prob. 4DECh. 3.2 - Prob. 5DECh. 3.2 - Prob. 6DECh. 3.2 - Prob. 7DECh. 3.2 - Determine whether each statement is true or...Ch. 3.2 - Prob. 2RCCh. 3.2 - Prob. 3RCCh. 3.2 - Prob. 4RCCh. 3.2 - Prob. 1CCCh. 3.2 - Prob. 2CCCh. 3.2 - Prob. 3CCCh. 3.2 - Prob. 1ESCh. 3.2 - Prob. 2ESCh. 3.2 - Prob. 3ESCh. 3.2 - Prob. 4ESCh. 3.2 - Prob. 5ESCh. 3.2 - Prob. 6ESCh. 3.2 - Prob. 7ESCh. 3.2 - Prob. 8ESCh. 3.2 - Prob. 9ESCh. 3.2 - Prob. 10ESCh. 3.2 - Prob. 11ESCh. 3.2 - Prob. 12ESCh. 3.2 - Prob. 13ESCh. 3.2 - Prob. 14ESCh. 3.2 - Prob. 15ESCh. 3.2 - Prob. 16ESCh. 3.2 - Prob. 17ESCh. 3.2 - Prob. 18ESCh. 3.2 - Prob. 19ESCh. 3.2 - Prob. 20ESCh. 3.2 - Prob. 21ESCh. 3.2 - Prob. 22ESCh. 3.2 - Prob. 23ESCh. 3.2 - Prob. 24ESCh. 3.2 - Prob. 25ESCh. 3.2 - Prob. 26ESCh. 3.2 - Prob. 27ESCh. 3.2 - Prob. 28ESCh. 3.2 - Prob. 29ESCh. 3.2 - Prob. 30ESCh. 3.2 - Prob. 31ESCh. 3.2 - Prob. 32ESCh. 3.2 - Prob. 33ESCh. 3.2 - Prob. 34ESCh. 3.3 - Solve equations. [1.1d]
Solve. Clear the fractions...Ch. 3.3 - Solve equations.[1.1d] Solve. Clear the fractions...Ch. 3.3 - Prob. 1DECh. 3.3 - Prob. 2DECh. 3.3 - Prob. 3DECh. 3.3 - Prob. 4DECh. 3.3 - Prob. 5DECh. 3.3 - 6. Clear the decimals. Then solve.
(Hint:...Ch. 3.3 - Prob. 7DECh. 3.3 - Prob. 8DECh. 3.3 - Prob. 9DECh. 3.3 - Bonuses. Monica gave each of the full-time...Ch. 3.3 - Prob. 1RCCh. 3.3 - Prob. 2RCCh. 3.3 - Prob. 3RCCh. 3.3 - Prob. 4RCCh. 3.3 - Prob. 5RCCh. 3.3 - Prob. 6RCCh. 3.3 - Prob. 1CCCh. 3.3 - Prob. 2CCCh. 3.3 - Prob. 3CCCh. 3.3 - Prob. 1ESCh. 3.3 - Prob. 2ESCh. 3.3 - Prob. 3ESCh. 3.3 - Prob. 4ESCh. 3.3 - Prob. 5ESCh. 3.3 - Prob. 6ESCh. 3.3 - Prob. 7ESCh. 3.3 - Prob. 8ESCh. 3.3 - Prob. 9ESCh. 3.3 - Prob. 10ESCh. 3.3 - Prob. 11ESCh. 3.3 - Prob. 12ESCh. 3.3 - Prob. 13ESCh. 3.3 - Prob. 14ESCh. 3.3 - Prob. 15ESCh. 3.3 - Prob. 16ESCh. 3.3 - Prob. 17ESCh. 3.3 - Prob. 18ESCh. 3.3 - a Solve each system of equation using the...Ch. 3.3 - Prob. 20ESCh. 3.3 - Prob. 21ESCh. 3.3 - Prob. 22ESCh. 3.3 - Prob. 23ESCh. 3.3 - a Solve each system of equation using the...Ch. 3.3 - a Solve each system of equation using the...Ch. 3.3 - a Solve each system of equation using the...Ch. 3.3 - a Solve each system of equation using the...Ch. 3.3 - Prob. 28ESCh. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - Prob. 37ESCh. 3.3 - b Solve. Use the elimination method when solving...Ch. 3.3 - Prob. 39ESCh. 3.3 - Given the function find each of the following...Ch. 3.3 - Prob. 41ESCh. 3.3 - Prob. 42ESCh. 3.3 - Prob. 43ESCh. 3.3 - Prob. 44ESCh. 3.3 - Find an equation of the line with slope 35 and y-...Ch. 3.3 - Find an equation of the line containing the points...Ch. 3.3 - Prob. 47ESCh. 3.3 - Prob. 48ESCh. 3.3 - Prob. 49ESCh. 3.3 - Prob. 50ESCh. 3.3 - Prob. 51ESCh. 3.3 - Prob. 52ESCh. 3.4 - Retail Sales of Tee Shirts. A campus bookstore...Ch. 3.4 - 2. Blending Coffees. The Coffee Counter charges...Ch. 3.4 - Client Investments. Infinite Financial Services...Ch. 3.4 - 4. Mixing Cleaning Solutions. King’s Service...Ch. 3.4 - Solve basic motion problems....Ch. 3.4 - Solve basic motion problems . [1.3b] Solve. Refer...Ch. 3.4 - Train Travel. A train leaves Barstow traveling...Ch. 3.4 - Air Travel. An airplane flew for 4 hr with a...Ch. 3.4 - Consider the following mixture problem and the...Ch. 3.4 - Consider the following mixture problem and the...Ch. 3.4 - Consider the following mixture problem and the...Ch. 3.4 - Consider the following mixture problem and the...Ch. 3.4 - Prob. 1ESCh. 3.4 - Prob. 2ESCh. 3.4 - a Solve.
3. Entertainment. For her...Ch. 3.4 - a Solve. Flowers. Kevins Floral Emporium offers...Ch. 3.4 - a Solve.
5. Furniture Polish. A nontoxic furniture...Ch. 3.4 - a Solve. Nontoxic Floor Wax. A nontoxic floor wax...Ch. 3.4 - a Solve. Catering. Stellas Catering is planning a...Ch. 3.4 - a Solve. Blending Granola. Deep Thought Granola is...Ch. 3.4 - a Solve.
9. Ink Remover. Etch Clean Graphics uses...Ch. 3.4 - a Solve.
10. Livestock Feed. Soybean meal is 16%...Ch. 3.4 - a Solve. Vegetable Seeds. Taras website,...Ch. 3.4 - a Solve. Flower Bulbs. Heritage Bulbs sells...Ch. 3.4 - a Solve. Student Loans. Sarahs two student loans...Ch. 3.4 - a Solve. Investments. Ana and Johnny made two...Ch. 3.4 - a Solve.
15. Food Science. The following bar graph...Ch. 3.4 - a Solve.
16. Automotive Maintenance. Arctic...Ch. 3.4 - a Solve. Investments. William opened two...Ch. 3.4 - a Solve. Student Loans. Coles two student loans...Ch. 3.4 - a Solve.
19. Making Change. Juan goes to a bank...Ch. 3.4 - a Solve. Making Change. Christina makes a $9.25...Ch. 3.4 - Prob. 21ESCh. 3.4 - a Solve.
22. Typing. It takes Ashleigh 5 min to...Ch. 3.4 - b Solve.
23. Train Travel. A train leaves Danville...Ch. 3.4 - b Solve.
24. Car Travel. Max leaves Kansas City...Ch. 3.4 - b Solve.
25. Canoeing. Darren paddled for 4 hr...Ch. 3.4 - b Solve. Boating. Mias motorboat took 3 hr to make...Ch. 3.4 - b Solve.
27. Air Travel. Christie pilots her...Ch. 3.4 - b Solve. Air Travel. Rod is a pilot for Crossland...Ch. 3.4 - b Solve. Air Travel. Two airplanes start at the...Ch. 3.4 - b Solve. Air Travel. Two planes start at the same...Ch. 3.4 - b Solve. Point of No Return. A plane flying the...Ch. 3.4 - b Solve. Point of No Return. A plane is flying the...Ch. 3.4 - Prob. 33ESCh. 3.4 - Prob. 34ESCh. 3.4 - Simplify. [1.6a]
35.
Ch. 3.4 - Simplify. [1.6a]
36.
Ch. 3.4 - Simplify. [1.6a]
37.
Ch. 3.4 - Simplify. [1.6a]
38.
Ch. 3.4 - Automotive Maintenance. The radiator in Michelles...Ch. 3.4 - Physical Exercise. Natalie jogs and walks to...Ch. 3.4 -
41. Fuel Economy. Ashlee’s SUV gets 18 miles per...Ch. 3.4 - Siblings. Phil and Maria are siblings. Maria has...Ch. 3.4 - Determine whether each statement is true or false....Ch. 3.4 - Determine whether each statement is true or...Ch. 3.4 - Determine whether each statement is true or false....Ch. 3.4 - Determine whether each statement is true or false....Ch. 3.4 - Fill in each box with the number, the variable, or...Ch. 3.4 - Fill in each box with the number, the variable, or...Ch. 3.4 - Solve each system of equations graphically. Then...Ch. 3.4 - Solve each system of equations graphically. Then...Ch. 3.4 - Solve each system of equations graphically. Then...Ch. 3.4 - Solve each system of equations graphically. Then...Ch. 3.4 - Solve using the substitution method. [3.2a]
11.
Ch. 3.4 - Solve using the substitution method. [3.2a]...Ch. 3.4 - Solve using the substitution method. [3.2a]...Ch. 3.4 - Solve using the substitution method. [3.2a]...Ch. 3.4 - Solve using the elimination method. [3.3a]
15.
Ch. 3.4 - Solve using the elimination method. [3.3a]
16.
Ch. 3.4 - Solve using the elimination method.[3.3a]...Ch. 3.4 - Solve using the elimination method.[3.3a]...Ch. 3.4 - Solve using the elimination method. [3.3a]
19.
Ch. 3.4 - Solve using the elimination method.[3.3a]...Ch. 3.4 - Solve using the elimination method. [3.3a]
21.
Ch. 3.4 - Solve using the elimination method.[3.3a]...Ch. 3.4 - Solve. Garden Dimensions. A landscape architect...Ch. 3.4 - Solve.
24. Investments. Sandy made two investments...Ch. 3.4 - Solve. Mixing Solutions. A lab technician wants to...Ch. 3.4 - Solve.
26. Boating. Monica’s motorboat took 5 hr...Ch. 3.4 - Solve. Explain how to find the solution of...Ch. 3.4 - Solve.
28. Write a system of equations with the...Ch. 3.4 - Solve. Describe a method that could be used to...Ch. 3.4 - Solve.
30. Describe a method that could be used to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.4 - The goal of these matching questions is to...Ch. 3.5 - Solve systems of equations in two variables by the...Ch. 3.5 - Solve systems of equations in two variables by the...Ch. 3.5 - 1. Solve. Don’t forget to check.
Ch. 3.5 - 2. Solve. Don’t forget to check.
Ch. 3.5 - Solve. Dont forget to check....Ch. 3.5 - Choose from the column on the right the option...Ch. 3.5 - Choose from the column on the right the option...Ch. 3.5 - Choose from the column on the right the option...Ch. 3.5 - Choose from the column on the right the option...Ch. 3.5 - Prob. 1CCCh. 3.5 - Prob. 2CCCh. 3.5 - Prob. 3CCCh. 3.5 - a Solve. x+y+z=2,2xy+5z=5,x+2y+2z=1Ch. 3.5 - a Solve.
2.
Ch. 3.5 - a Solve. 2xy+z=5,6x+3y2z=10,x2y+3z=5Ch. 3.5 - a Solve.
4.
Ch. 3.5 - a Solve. 2x3y+z=5,x+3y+8z=22,3xy+2z=12Ch. 3.5 - a Solve. 6x4y+5z=31,5x4y+5z=31,x+y+z=2Ch. 3.5 - a Solve. 3a2b+7c=13,a+8b6c=47,7a9b9c=3Ch. 3.5 - a Solve. x+y+z=0,2x+3y+2z=3,x+2y3z=1Ch. 3.5 - a Solve. 2x+3y+z=17,x3y+2z=8,5x2y+3z=5Ch. 3.5 - a Solve. 2x+y3z=4,4x2y+z=9,3x+5y2z=5Ch. 3.5 - a Solve. 2x+y+z=2,2xy+3z=6,3x5y+4z=7Ch. 3.5 - a Solve.
12.
Ch. 3.5 - a Solve. xy+z=4,5x+2y3z=2,3x7y+4z=8Ch. 3.5 - a Solve. 2x+y+2z=3,x+6y+2z=4,3x2y+z=0Ch. 3.5 - a Solve. 4xyz=4,2x+y+z=1,6x3y2z=3Ch. 3.5 - a Solve. 2r+s+t=6,3r2s5t=7,r+s3t=10Ch. 3.5 - a Solve.
17.
Ch. 3.5 - a Solve. x+4yz=5,2xy+3z=5,4x+3y+z=5Ch. 3.5 - a Solve. 2r+3s+12t=4,4r6s+6t=1,r+s+t=1Ch. 3.5 - a Solve. 10x+6y+z=7,5x9y2z=3,15x9y+2z=5Ch. 3.5 - a Solve.
21.
Ch. 3.5 - a Solve. 3p+3r=11,q7r=4,p6q=1Ch. 3.5 - a Solve. x+y+z=57,2x+y=3,xz=6Ch. 3.5 - a Solve.
24.
Ch. 3.5 - a Solve. r+s=5,3s+2t=1,4r+t=14Ch. 3.5 - a Solve. a5c=17,b+2c=1,4ab3c=1Ch. 3.5 - a Solve.
27.
Ch. 3.5 - Solve for the indicated letter. [1.2a]
28.
Ch. 3.5 - Solve for the indicated letter. [1.2a]...Ch. 3.5 - Solve for the indicated letter. [1.2a]...Ch. 3.5 - Solve for the indicated letter. [1.2a]...Ch. 3.5 - Solve for the indicated letter. [1.2a]
32.
Ch. 3.5 - Solve for the indicated letter. [1.2a] AxBy=c,foryCh. 3.5 - Find the slope and the y-intercept. [2.4bb]...Ch. 3.5 - Find the slope and the y-intercept. [2.4bb] y=54xCh. 3.5 - Find the slope and the y-intercept. [2.4bb]
36.
Ch. 3.5 - Find the slope and the y-intercept. [2.4bb]
37.
...Ch. 3.5 - Solve. w+xy+z=0,w2x2yz=5,w2xy+z=4,2wxy+3z=7Ch. 3.5 - Solve.
39.
Ch. 3.6 - Solve applied problems by translating to...Ch. 3.6 - Prob. 2SRCh. 3.6 - Triangle Measures. One angle of a triangle is...Ch. 3.6 - Client Investments. Kaufman Financial Corporation...Ch. 3.6 - Choose from the column on the right an appropriate...Ch. 3.6 - Choose from the column on the right an appropriate...Ch. 3.6 - Choose from the column on the right an appropriate...Ch. 3.6 - Choose from the column on the right an appropriate...Ch. 3.6 - Prob. 1ESCh. 3.6 - Prob. 2ESCh. 3.6 - a Solve.
3. Triangle Measures. In triangle ABC,...Ch. 3.6 - a Solve.
4. Triangle Measures. In triangle ABC,...Ch. 3.6 - a Solve. The sum of three numbers is 55. The...Ch. 3.6 - a Solve.
6. History. Find the year in which the...Ch. 3.6 - a Solve.
7. Eggs. Chicken eggs are sorted by size...Ch. 3.6 - a Solve.
8. Coffee. A coffee shop on campus sells...Ch. 3.6 - a Solve.
9. Cholesterol Levels. Recent studies...Ch. 3.6 - a Solve.
10. Book Sale. Katie, Rachel, and Logan...Ch. 3.6 - a Solve.
11. Automobile Pricing. A recent basic...Ch. 3.6 - a Solve.
12. Computer Pricing. Lindsay plans to...Ch. 3.6 - Prob. 13ESCh. 3.6 - Prob. 14ESCh. 3.6 - a Solve.
15. Nutrition. A dietician in a hospital...Ch. 3.6 - a Solve.
16. Nutrition. Repeat Exercise 15 but...Ch. 3.6 - a Solve. Investments. A business class divided an...Ch. 3.6 - a Solve. Student Loans. Terrence owes $32,000 in...Ch. 3.6 - a Solve. Golf. On an 18-hole golf course, there...Ch. 3.6 - a Solve.
20. Basketball Scoring. The New York...Ch. 3.6 - a Solve. Lens Production. When Sight-Rites three...Ch. 3.6 - a Solve. Telemarketing. Steve, Teri, and Isaiah...Ch. 3.6 - Graph each function. [2.2c]
23.
Ch. 3.6 - Graph each function. [2.2c]
24.
Ch. 3.6 - Graph each function.[2.2c] h(x)=x22Ch. 3.6 - Determine whether each of the following is the...Ch. 3.6 - Determine whether each of the following is the...Ch. 3.6 - Determine whether each of the following is the...Ch. 3.6 - Find the sum of the angle measures at the tips of...Ch. 3.6 - 30. Sharing Raffle Tickets. Hal gives Tom as many...Ch. 3.6 - Digits. Find a three-digit positive integer such...Ch. 3.6 - Ages. Tammys age is the sum of the ages of Carmen...Ch. 3.6 - Prob. 33ESCh. 3.7 - Determine whether (1,4) is a solution of 4x5y12....Ch. 3.7 - Determine whether (4,3) is a solution of 3y2x6....Ch. 3.7 - Graph linear equations using intercepts. [2.5a]...Ch. 3.7 - Graph linear equations using intercepts. [2.5a]...Ch. 3.7 - Graph. 6x3y18Ch. 3.7 - Graph.
4.
1. Graph the related equation.
2....Ch. 3.7 - Graph on a plane. x3Ch. 3.7 - Graph on a plane y4Ch. 3.7 - Graph: x+y1,yx2.Ch. 3.7 - 8. Graph: .
Ch. 3.7 - 9. Graph the system of inequalities. Find the...Ch. 3.7 - 10. Graph the system of inequalities. Find the...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Match the equation, inequality, system of...Ch. 3.7 - Choose from the column on the right the word that...Ch. 3.7 - Choose from the column on the right the word that...Ch. 3.7 - Choose from the column on the right the word that...Ch. 3.7 - Choose from the column on the right the word that...Ch. 3.7 - Choose from the column on the right the word that...Ch. 3.7 - Choose from the column on the right the word that...Ch. 3.7 - Prob. 1CCCh. 3.7 - Prob. 2CCCh. 3.7 - Prob. 3CCCh. 3.7 - Prob. 4CCCh. 3.7 - Prob. 5CCCh. 3.7 - Prob. 6CCCh. 3.7 - a Determine whether the given ordered pair is a...Ch. 3.7 - a Determine whether the given ordered pair is a...Ch. 3.7 - a Determine whether the given ordered pair is a...Ch. 3.7 - a Determine whether the given ordered pair is a...Ch. 3.7 - b Graph each inequality on a plane.
5.
Ch. 3.7 - b Graph each inequality on a plane.
6.
Ch. 3.7 - b Graph each inequality on a plane.
7.
Ch. 3.7 - b Graph each inequality on a plane. yx3Ch. 3.7 - b Graph each inequality on a plane. yx2Ch. 3.7 - b Graph each inequality on a plane.
10.
Ch. 3.7 - b Graph each inequality on a plane.
11.
Ch. 3.7 - b Graph each inequality on a plane.
12.
Ch. 3.7 - b Graph each inequality on a plane. 3x+4y12Ch. 3.7 - b Graph each inequality on a plane. 2x+3y6Ch. 3.7 - b Graph each inequality on a plane. 2y3x6Ch. 3.7 - b Graph each inequality on a plane.
16.
Ch. 3.7 - b Graph each inequality on a plane.
17.
Ch. 3.7 - b Graph each inequality on a plane. 2x228+2yCh. 3.7 - b Graph each inequality on a plane. x5Ch. 3.7 - b Graph each inequality on a plane. y2Ch. 3.7 - b Graph each inequality on a plane.
21.
Ch. 3.7 - b Graph each inequality on a plane. x4Ch. 3.7 - b Graph each inequality on a plane. 2x+3y6Ch. 3.7 - b Graph each inequality on a plane.
24.
Ch. 3.7 - Matching. Each of Exercises 2530 shows the graph...Ch. 3.7 - Matching. Each of Exercises 2530 shows the graph...Ch. 3.7 - Matching. Each of Exercises 25–30 shows the graph...Ch. 3.7 - Matching. Each of Exercises 2530 shows the graph...Ch. 3.7 - Matching. Each of Exercises 2530 shows the graph...Ch. 3.7 - Matching. Each of Exercises 25–30 shows the graph...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - c Graph each system of inequalities. Find the...Ch. 3.7 - Solve. [1.1d] 5(3x4)=2(x+5)Ch. 3.7 - Solve. [1.1d] 4(3x+4)=2xCh. 3.7 - Solve. [1.1d]
45.
Ch. 3.7 - Solve. [1.1d]
46.
Ch. 3.7 - Solve. [1.1d]
47.
Ch. 3.7 - Solve. [1.1d]
48.
Ch. 3.7 - Given the function f(x)=|2x|, find each of the...Ch. 3.7 - Given the function f(x)=|2x|, find each of the...Ch. 3.7 - Given the function f(x)=|2x|, find each of the...Ch. 3.7 - Given the function find each of the following...Ch. 3.7 - Waterfalls. In order for a waterfall to be...Ch. 3.7 - Exercise Danger Zone. It is dangerous to exercise...Ch. 3 - Complete each statement with the correct term from...Ch. 3 - Complete each statement with the correct term from...Ch. 3 - Complete each statement with the correct term from...Ch. 3 - Complete each statement with the correct term from...Ch. 3 - Complete each statement with the correct term from...Ch. 3 - Determine whether each statement is true or false....Ch. 3 - Determine whether each statement is true or false....Ch. 3 - Determine whether each statement is true or...Ch. 3 - Determine whether each statement is true or...Ch. 3 - 1. Solve this system of equations graphically....Ch. 3 - 2. Solve the system
using the substitution...Ch. 3 - Solve the system 2x+3y=5,3x+4y=6 using the...Ch. 3 - Jaretta made two investments totaling $23,000. In...Ch. 3 - Solve: xy+z=9,2x+y+2z=3,4x+2y3z=1.Ch. 3 - Graph: 3x2y6.Ch. 3 - 7. Graph this system of inequalities and find the...Ch. 3 - Solve graphically. Then classify the system as...Ch. 3 - Solve graphically. Then classify the system as...Ch. 3 - Solve graphically. Then classify the system as...Ch. 3 - Solve by the substitution method. [3.2a]...Ch. 3 - Solve by the substitution method. [3.2a]
5.
Ch. 3 - Solve by the substitution method. [3.2a]
6.
Ch. 3 - Solve by the elimination method. [3.3a]...Ch. 3 - Solve by the elimination method. [3.3a]...Ch. 3 - Solve by the elimination method. [3.3a]...Ch. 3 - Solve by the elimination method. [3.3a]
10.
Ch. 3 - Solve. Retail Sales. Paint Town sold 45...Ch. 3 - Solve.
12. Orange Drink Mixtures. “Orange Thirst”...Ch. 3 - Solve.
13. Train Travel. A train leaves...Ch. 3 - Solve. [3.5a]
14.
Ch. 3 - Solve. [3.5a] 3x+2y+z=1,2xy3z=1,x+3y+2z=6Ch. 3 - Solve. [3.5a]
16.
Ch. 3 - Solve. [3.5a] x+y+2z=1,xy+z=1,x+2y+z=2Ch. 3 - Solve. [3.5a]
18. Triangle Measure. In triangle...Ch. 3 - Solve. [3.5a]
19. Popcorn. Paul paid a total of...Ch. 3 - Graph [3.7b] 2x+3y12Ch. 3 - Graph [3.7b] y0Ch. 3 - Graph [3.7b]
22.
Ch. 3 - Graph Find the coordinates of any vertices formed....Ch. 3 - Graph Find the coordinates of any vertices formed....Ch. 3 - Graph Find the coordinates of any vertices formed....Ch. 3 - The sum of two numbers is 2. The sum of twice one...Ch. 3 - 27. Motorcycle Travel. Sally and Elliot travel on...Ch. 3 - 28. Solve graphically: [2.1d], [3.1a]
.
Ch. 3 - Write a problem for a classmate to solve. Design...Ch. 3 - Exercise 21 in Exercise Set 3.6 can be solved...Ch. 3 - Ticket Revenue. A pops-concert audience of 100...Ch. 3 - 4. When graphing linear inequalities, Ron always...Ch. 3 - Solve graphically. Then classify the system as...Ch. 3 - Solve graphically. Then classify the system as...Ch. 3 - Solve graphically. Then classify the system as...Ch. 3 - Solve by the substitution method.
4.
Ch. 3 - Solve by the substitution method. x=3y+2,2x6y=4Ch. 3 - Solve by the substitution method. x+2y=6,2x+3y=7Ch. 3 - Solve by the elimination method.
7.
Ch. 3 - Solve by the elimination method.
8.
Ch. 3 - Solve by the elimination method. 23x45y=y,13x25y=2Ch. 3 - Solve. Tennis Court. The perimeter of a standard...Ch. 3 - Solve.
11. Air Travel. An airplane flew for 5 hr...Ch. 3 - Solve.
12. Chicken Dinner. High Flyin’ Wings...Ch. 3 - Solve. Mixing solutions. A chemist has one...Ch. 3 - Solve: 6x+2y4z=15,3x4y+2z=6,4x6y+3z=8.Ch. 3 - Solve. Repair Rates. An electrician, a carpenter,...Ch. 3 - Graph Find the coordinates of any vertices formed....Ch. 3 - Graph Find the coordinates of any vertices formed....Ch. 3 - Graph Find the coordinates of any vertices formed....Ch. 3 - Graph Find the coordinates of any vertices formed....Ch. 3 - 20. A business class divided an imaginary $30, 00...Ch. 3 - The graph of the function f(x)=mx+b contains the...Ch. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Solve. |x+1|=4Ch. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - 18. Solve graphically. Then classify the system as...Ch. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 22CRCh. 3 - Prob. 23CRCh. 3 - Prob. 24CRCh. 3 - Prob. 25CRCh. 3 - Prob. 26CRCh. 3 - Prob. 27CRCh. 3 - Prob. 28CRCh. 3 - Prob. 29CRCh. 3 - Prob. 30CRCh. 3 - Prob. 31CRCh. 3 - Prob. 32CRCh. 3 - Prob. 33CRCh. 3 - Prob. 34CRCh. 3 - Prob. 35CRCh. 3 - Prob. 36CRCh. 3 - Prob. 37CRCh. 3 - Prob. 38CRCh. 3 - Radio Advertising. An automotive dealer discovers...Ch. 3 - Prob. 40CR
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