Solution Manual For Finite Mathematics and Its Applications, 13 Edition by Larry J. Goldstein, Verified Chapters 1 - 12, Complete Newest Version

SOLUTION MANUAL m




Finite Mathematics & Its Applications
m m m m




13th Edition by Larry J. Goldstein,
m m m m m




Chapters 1 - 12, Complete
m m m m

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

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

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

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

Chapter 6: Probability
m 6–1

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

Chapter 8: Markov Processes
m m 8–1

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

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

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

, Chapter 1 m



Exercisesm1.1 5
6.m Leftm1,mdownm
2
1. Rightm2,mupm3 y
y


(2, 3)
x
x
( )
–1, – 52




7.m Leftm20,mupm40
2. Leftm1,mupm y
4
y

(–20, 40)
(–1, 4)
x
x




8.m Rightm25,mupm30
3.m Downm2 y
y


(25, 30)
x
x
(0, –2)




9. PointmQmism2munitsmtomthemleftmandm2munitsmupmor
4. Rightm2
y (—2,m2).

10. PointmPmism3munitsmtomthemrightmandm2munitsmdownmor
(3,—2).
x
(2, 0) 1m
11. —2(1)m+m (3)m=m—2m+1m=m—1som yesm them pointm is
3
onmthemline.

5. Leftm2,mupm 1m
1 12. —2(2)m+m (6)m=m—1mism false,m som nom them pointm ism not
3
y
onmthemline

(–2, 1)
x


Copyright © 2023 Pearson Education, Inc. 1-1

, Chapter 1: Linear Equations and Straight Lines ISM: Finite Math


1m 24.m 0m=m5
13 —2xm+m ym =m—1m Substitutem them xm andm y nomsolution
3
. x-
coordinatesmofmthempointmintomthemequation:
f 1m hım f h intercept:mnonem
' ,m3 →m—2 ' 1 ı +m1m(3)m=m—1m→m—1+1m=m—1m is Whenmxm=m0,mym=
y' ı ' ı
m5my-

intercept:m(0,m5)
2mmm J ym2J 3
amfalsemstatement.mSomnomthempointmismnotmo 25.mWhenmym=m0,mxm=
nmthemline. m7mx-


f 1h f1h intercept:m(7,m0)m
14 —2 ' ı + ' ı (—1)m=m— 0m=m7
.
1m ismtruemsomyesmthempointmis nomsolution
'y3 ıJmmm'y3 ıJ y-intercept:mnone
onmthemline. 26.m 0m=m–8x
15.m mm=m5,mbm=m xm=m0
8 x-intercept:m(0,m0)
ym=m–8(0)
16.m mm=m–2mandmbm=m–6 ym=m0
y-intercept:m(0,m0)
17.m ym=m0xm+m3;mmm=m0,mbm
=m3

2m 2m 1m
ym=m xm+m0;m mm=m ,m bm=m 27 0m=m xm–m1
18 3
. .
0 xm=m3
3 3
19.m 14xm+m7mym=m2 x-intercept:m(3,m0)
1m
1 ym =m (0)m–m1
3
7mym=m—14xm+m21
ym=m–1
ym =m—2xm+m3
y-intercept:m(0,m–1)
20 xm—mym =m3 y
. —ym =m—xm+m3
ym =mxm—m3
(3, 0)
21.mmm 3xm=m5 x
5 (0, –1)
xm=m
3
1 2
28. Whenmxm=m0,mym=m0.
22 – xm+ ym =m10
. 2 3 Whenmxm=m1,mym=m2.
2m 1m y
ym =m xm+10
3 2
3m
ym =m xm+15 (1, 2)
4 x
(0, 0)

23. 0m=m—4xm+m8
4xm =m8
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