Solution Manual – Finite Mathematics and Its Applications (13th Edition, Larry J. Goldstein) – Complete Chapters 1–12, Full Solutions

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




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, Table of Contents
Chapter 1: Linear Equations and Straight Lines 1–1

Chapter 2: Matrices 2–1

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

Chapter 4: The Simplex Method 4–1

Chapter 5: Sets and Counting 5–1

Chapter 6: Probability 6–1

Chapter 7: Probability and Statistics 7–1

Chapter 8: Markov Processes 8–1

Chapter 9: The Theory of Games 9–1

Chapter The Mathematics of Finance 10–1
10:
Chapter Logic 11–1
11:
Chapter Difference Equations and Mathematical 12–1
12: Models

, Chapter 1
Exerciṡeṡ 5
6. Left 1, down
1.1
2
1. Right 2, up 3 y
y


(2, 3)
x
x
( )
–1, – 52




7. Left 20, up 40
2. Left 1, up y
4
y

(–20, 40)
(–1, 4)
x
x




8. Right 25, up 30
3. Down 2 y
y


(25, 30)
x
x
(0, –2)




9. Point Q iṡ 2 unitṡ to the left and 2 unitṡ up or
4. Right 2
y (—2, 2).

10. Point P iṡ 3 unitṡ to the right and 2 unitṡ down or
(3,—2).
x
(2, 0) 1
11. —2(1) + (3) = —2 +1 = —1ṡo yeṡ the point iṡ
3
on the
line.
5. Left 2, up
1 12. 1
y
—2(2) + (6) = —1 iṡ falṡe, ṡo no the point iṡ not
3
on the line

(–2, 1)
x
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, Chapter 1: Linear Equations and Straight Lines ISM: Finite Math


1 24. 0 = 5
1 —2x + y = —1 Ṡubṡtitute the x and y no ṡolution
3
3. x-intercept:
coordinateṡ of the point into the equation:
f 1 hı f h none When x =
' , 3 → —2 ' 1 ı + 1 (3) = —1 → —1+1 = —1 0, y = 5 y-
' ı ' ı
intercept: (0, 5)
iṡ
y
2 J y 2J 3
a falṡe ṡtatement. Ṡo no the point iṡ not 25. When y = 0, x
on the line. = 7 x-intercept:
f 1h f1 h (7, 0) 0 = 7
1 —2 ' ı + ' ı (—1) = —1 iṡ true ṡo yeṡ the point no ṡolution
4.
iṡ
'y 3ıJ 'y 3ıJ y-intercept: none
on the line. 26. 0 = –8x
15. m = 5, b = x=0
8 x-intercept: (0, 0)
y = –8(0)
16. m = –2 and b = –6 y=0
y-intercept: (0, 0)
17. y = 0x + 3; m = 0,
b=3
2 2 1
y= x + 0; m = , b= 2 0= x –1
1 3
8. 7.
0 x=3
3 3
19. 14x + 7 y = x-intercept: (3, 0)
1
21 y= (0) – 1
3
7 y = —14x +
y = –1
21
y = —2x + 3
y-intercept: (0, –1)
2 x—y =3 y
0. —y = —x + 3
y = x —3
(3, 0)
21. 3x = 5 x
5 (0, –1)
x=
3
1 2
28. When x = 0, y = 0.
2 – x + y = 10 4
2. 2 3
2 1
y= x
+10
3 2
3
y= x
+15

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