Finite Mathematics & Its Applications 13th Edition by Larry J. Goldstein,

SOLUTION MANUAL
Finite Mathematics & Its Applications
13th Edition by Larry J. Goldstein,
Chapters 1 - 12, Complete

, Contents
Chapter 1: Linear Equations and Straight Lines
t t t t t 1–1

Chapter 2: Matrices
t 2–1

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

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

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

Chapter 6: Probability
t 6–1

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

Chapter 8: Markov Processes
t t 8–1

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

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

Chapter 11: Logic
t 11–1

Chapter 12: Difference Equations and Mathematical Models
t t t t t 12–1

, Chapter 1 t



Exercisest1.1 5
6.t Leftt1,tdownt
2
1. Rightt2,tupt3 y
y



(2,t3)
x
x
( )
–1,t –t52t




7.t Leftt20,tupt40
2. Leftt1,tupt4 y
y

(–20,t40)
(–1,t4)
x
x




8.t Rightt25,tupt30
3.t Downt2 y
y


(25,t30)
x
x
(0,t–2)




9. PointtQtist2tunitsttotthetlefttandt2tunitstuptor
4. Rightt2
y (—2,t2).

10. PointtPtist3tunitsttotthetrighttandt2tunitstdowntor
(3,—2).
x
(2,t0) 1t
11. —2(1)t+t (3)t=t—2t+1t=t—1sot yest thet pointt is
3
ontthetline.

5. Leftt2,tupt1 1t
y 12. —2(2)t+t (6)t=t—1tist false,t sot not thet pointt ist not
3
ontthetline

(–2,t1)
x



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, Chaptert1:tLineartEquationstandtStraighttLines ISM:tFinitetMath


1t 24.t 0t=t5
13 —2xt+t yt =t—1t Substitutet thet xt andt y notsolution
3
. x-
coordinatestoftthetpointtintotthetequation:
f 1t hıt f h intercept:tnonet
' ,t3 →t—2 ' 1 ı +t1t(3)t=t—1t→t—1+1t=t—1t is Whentxt=t0,tyt=t5ty
y' ı 't ı
-intercept:t(0,t5)
2ttt J yt2J 3
atfalsetstatement.tSotnotthetpointtistnottontthet 25.tWhentyt=t0,txt=t7tx-
line. intercept:t(7,t0)t0t
f 1h f1 h =t7
14 —2 ' ı + ' ı (—1)t=t—1t isttruetsotyestthetpointtis notsolution
.
'y3 ıJttt'y3 ıJ y-intercept:tnone
ontthetline. 26.t 0t=t–8x
15.t mt=t5,tbt=t8 xt=t0
x-intercept:t(0,t0)
16.t mt=t–2tandtbt=t–6 yt=t–8(0)
yt=t0
17.t yt=t0xt+t3;tmt=t0,tbt=t3 y-intercept:t(0,t0)

2t 2t 1t
yt=t xt+t0;t mt=t ,t bt=t0 27 0t=t xt–t1
18 3
3 3 .
. xt=t3
19.t 14xt+t7tyt=t21 x-intercept:t(3,t0)
1t
7tyt=t—14xt+t21 yt =t (0)t–t1
3
yt =t—2xt+t3
yt=t–1
y-intercept:t(0,t–1)
20 xt—tyt =t3 y
. —yt =t—xt+t3
yt =txt—t3
(3,t0)
21.ttt 3xt=t5 x
5 (0,t–1)
xt=t
3
1 2
28. Whentxt=t0,tyt=t0.
22 – xt+ yt =t10
. 2 3 Whentxt=t1,tyt=t2.
2t 1t y
yt =t xt+10
3 2
3t
yt =t xt+15 (1,t2)
4 x
(0,t0)

23. 0t=t—4xt+t8
4xt =t8
xt=t2
x-intercept:t(2,t0)
yt=t–4(0)t+t8
yt=t8
y-intercept:t(0,t8)

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