Solution Manual for Finite Mathematics And Its Applications 13th Edition by Larry J. Goldstein,

SOLUTION MANUAL b




Finite Mathematics & Its Applications 1
b b b b b




3th Editionby Larry J. Goldstein, Chapt
b b b b b




ers 1 - 12, Complete
b b b b

, Contents
Chapter 1: Linear Equations and Straight Lines
b b b b b 1–1
Chapter 2: Matrices
b 2–1

Chapter 3: Linear Programming, A Geometric Approach
b b b b b 3–1

Chapter 4: The Simplex Method
b b b 4–1

Chapter 5: Sets and Counting
b b b 5–1

Chapter 6: Probability
b 6–1

Chapter 7: Probability and Statistics
b b b 7–1

Chapter 8: Markov Processes
b b 8–1

Chapter 9: The Theory of Games
b b b b 9–1

Chapter 10: The Mathematics of Finance
b b b b 10–1

Chapter 11: Logic
b 11–1
Chapter 12: Difference Equations and Mathematical Models
b b b b b 12–1

, Chapter 1 b



Exercisesb1.1 5
6. Leftb1,bdownb
1. 2
Rightb2,bupb3 y
y


(2,b3)
x
x
2




7. Leftb20,bupb40
2. Leftb1,bupb4 y
y

(–20,b40)
(–1,b4)
x
x




8. Rightb25,bupb30
3. Downb2 y
y


(25,b30)
x
x
(0,b–2)




9. PointbQ2isb2bunitsbtobthebleftbandb2bunitsbupbo
4. Rightb2
y rb(—2,b2).

10. PointbPbisb3bunitsbtobthebrightbandb2bunitsbdownbo
rb(3,—2).
x
(2,b0) 1b
11. —2(1)b+b (3)b=b—2b+1b=b—1sobyesbthebpointbis
3
onbthebline.

5. Leftb2,bupb1 1
12. —2(2)b+b b(6)b=b—1bisbfalse,bsobnobthebpointbisbnot
y
3
onbthebline

(–2,b1)
x



Copyrightb©b2023bPearsonbEducation,bInc. 1-1

, Chapter21:bLinearbEquationsbandbStraightbLines ISM:bFinitebMath


1 24.b 0b=b5
13 —2xb +2 yb=b—1b Substitutebthebxbandby nobsolution
3
. x-
coordinatesbofbthebpointbintobthebequation: intercept:bnone
f1b b ıh f1 hb 1
'b ,b3b →—2' ı +b (b3)=—1b→—1+1b=—1b is
Whenbxb=b0,b yb=b5
y' I ' ı y-intercept:b(0,b5)
2b b J y2J 3
abfalsebstatement.bSobnobthebpointbisbnotbonbt 25.bWhenbyb=b0,bxb=b7
bheline. x-
fb1h fb1 h intercept:b(7,b0)0
14 —2 'bb +'b bı (—1)b=—1b isbtruebsobyesbthebpointbis =b7
. bı nobsolution
y-intercept:b none
y'3ıJ y'3ıJ
onbthebline. 26.b 0b=b–8x
15. mb=b5,bbb=b8 xb=b0
x-intercept:b(0,b0)
16. mb=b–2bandbbb=b–6 yb=b–8(0)
yb=b0
17. yb=b0xb+b3;bmb=b0,bbb=b y-intercept:b(0,b0)
3
2 2 1b
yb= 27 0b=b xb–b1
18 3
xb+b0;b mb=b b ,b bb=b0 .
. 3 3 xb=b3
x-intercept:b(3,b0)
19.b 14xb+7byb=b21 1
yb=b (0)b–2b1
7byb =—14xb+b21 3
yb =b—2xb+3 yb=b–1
y-intercept:b(0,b–1)
20 xb—byb=b3 y
. —yb=b—xb+3
yb=bxb—3
(3,b0)
21.b b 3xb=b5 x
5 (0,b–1)
xb=b
3
1 2 28. Whenbxb=b0,byb=b0.
y = 10
b 2b b
22 –b 3 Whenbxb=b1,byb=b2.
bxb+
2 2b 1b y
. yb=b xb+10
3 2
3b
yb=b xb+15 (1,b2)
4 x
(0,b0)

23. 0b=b—4xb+8
4xb=b8
xb=b2
x-intercept:b(2,b0)
y2=b–4(0)b+b8

1-2 Copyright2©b2023bPearsonbEducation,bInc.