SOLUTION MANUAL x
Finite Mathematics & Its Applications
x x x x
13th Edition by Larry J. Goldstein,
x x x x x
Chapters 1 - 12, Complete
x x x x
, Contents
Chapter 1: Linear Equations and Straight Lines
x x x x x 1–1
Chapter 2: Matrices
x 2–1
Chapter 3: Linear Programming, A Geometric Approach
x x x x x 3–1
Chapter 4: The Simplex Method
x x x 4–1
Chapter 5: Sets and Counting
x x x 5–1
Chapter 6: Probability
x 6–1
Chapter 7: Probability and Statistics
x x x 7–1
Chapter 8: Markov Processes
x x 8–1
Chapter 9: The Theory of Games
x x x x 9–1
Chapter 10: The Mathematics of Finance
x x x x 10–1
Chapter 11: Logic
x 11–1
Chapter 12: Difference Equations and Mathematical Models
x x x x x 12–1
, Chapter 1 x
Exercisesx1.1 5
6.x Leftx1,xdownx
2
1. Rightx2,xupx3 y
y
(2,x3)
x
x
(–1,x – 2
x5x)
7.x Leftx20,xupx40
2. Leftx1,xupx4 y
y
(–20,x40)
(–1,x4)
x
x
8.x Rightx25,xupx30
3.x Downx2 y
y
(25,x30)
x
x
(0,x–2)
9. PointxQxisx2xunitsxtoxthexleftxandx2xunitsxupxor
4. Rightx2
y (—2,x2).
10. PointxPxisx3xunitsxtoxthexrightxandx2xunitsxdownxor
(3,—2).
x
(2,x0) 1x
11. —2(1)x+x (3)x=x—2x+1x=x—1sox yesx thex pointx is
3
onxthexline.
5. Leftx2,xupx1 1x
y 12. —2(2)x+x (6)x=x—1xisx false,x sox nox thex pointx isx not
3
onxthexline
(–2,x1)
x
Copyrightx©x2023xPearsonxEducation,xInc. 1-1
, Chapterx1:xLinearxEquationsxandxStraightxLines ISM:xFinitexMath
1x 24.x 0x=x5
13 —2xx+x yx =x—1x Substitutex thex xx andx y noxsolution
3
. x-
coordinatesxofxthexpointxintoxthexequation:
f 1x hıx f h intercept:xnonex
' ,x3 →x—2 ' 1 ı +x1x(3)x=x—1x→x—1+1x=x—1x is Whenxxx=x0,xyx=x5x
y' ı 'x ı
y-intercept:x(0,x5)
2xxx J yx2J 3
axfalsexstatement.xSoxnoxthexpointxisxnotxonxt 25.xWhenxyx=x0,xxx=x7x
hexline. x-
f 1h f1 h intercept:x(7,x0)x0x
14 —2 ' ı + ' ı (—1)x=x—1x isxtruexsoxyesxthexpointxis =x7
.
noxsolution
'y3 ıJxxx'y3 ıJ y-intercept:xnone
onxthexline. 26.x 0x=x–8x
15.x mx=x5,xbx=x8 xx=x0
x-intercept:x(0,x0)
16.x mx=x–2xandxbx=x–6 yx=x–8(0)
yx=x0
17.x yx=x0xx+x3;xmx=x0,xbx=x3 y-intercept:x(0,x0)
2x 2x 1x
yx=x xx+x0;x mx=x ,x bx=x0 27 0x=x xx–x1
18 3
3 3 .
. xx=x3
19.x 14xx+x7xyx=x21 x-intercept:x(3,x0)
1x
7xyx=x—14xx+x21 yx =x (0)x–x1
3
yx =x—2xx+x3
yx=x–1
y-intercept:x(0,x–1)
20 xx—xyx =x3 y
. —yx =x—xx+x3
yx =xxx—x3
(3,x0)
21.xxx 3xx=x5 x
5 (0,x–1)
xx=x
3
1 2
28. Whenxxx=x0,xyx=x0.
22 – xx+ yx =x10
. 2 3 Whenxxx=x1,xyx=x2.
2x 1x y
yx =x xx+10
3 2
3x
yx =x xx+15 (1,x2)
4 x
(0,x0)
23. 0x=x—4xx+x8
4xx =x8
xx=x2
x-intercept:x(2,x0)
yx=x–4(0)x+x8
yx=x8
y-intercept:x(0,x8)
1-2 Copyrightx©x2023xPearsonxEducation,xInc.
