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Material
SOLUTIONMANUAL uu
Finite Mathematics & Its Applications
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13th Edition by Larry J. Goldstein,
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Chapters 1 - 12, Complete
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Material
Contents
Chapter 1: Linear Equations and Straight Lines
uu uu uu uu uu 1–1
Chapter 2: Matrices
uu 2–1
Chapter 3: Linear Programming, A Geometric Approach
uu uu uu uu uu 3–1
Chapter 4: The Simplex Method
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Chapter 5: Sets and Counting
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Chapter 6: Probability
uu 6–1
Chapter 7: Probability and Statistics
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Chapter 8: Markov Processes
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Chapter 9: The Theory of Games
uu uu uu uu 9–1
Chapter 10: The Mathematics of Finance
uu uu uu uu 10–1
Chapter 11: Logic
uu 11–1
Chapter 12: Difference Equations and Mathematical Models
uu uu uu uu uu 12–1
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Material
Chapter 1 uu
Exercises 1.1 5
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6. Left 1, down uu uu uu
1. 2
Right 2, up 3 uu u u uu
y
y
(2, 3)
uu
x
x
uu
2
7. Leftj 20, up 40
uu uu uu
2. Leftj 1, up uu uu
y
4
y
(–20, 40)
uu
(–1, 4) uu
x
x
8. Right 25, up 30uu u u uu
3. Down 2 uu
y
y
(25, 30) uu
x
x
(0, –2) uu
9. Point Qj is 2 units to the left and 2
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4. Right 2 uu
y units up or (—2, 2).
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10. Point P is 3 units to the rightj and 2 units
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down or (3,—2).
uu uu uu
x
(2, 0)
uu
1 uu
11. —2(1) (3) = —2 +1 = —1so yes the point is
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+
uu 3
on the uu
line.
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5. Leftj 2, uu
12. 1
up
uu
—2(2) + uu u u uu (6) =j—1 is false, so no the point is
uu uu u u u u u u u u u u u u
1 u u not
y 3
on the uu
(–2, 1) uu
line u u
x
Copyright © 2023 Pearson Education, Inc.
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Material
Chapter 1: Linear Equations and Straight Lines
uu uu uu uu uu uu ISM: Finite Math
uu uu
1
y =j—1 uu u u Substitute the x uu uu 24. u 0 = 5
u u u uu
13 —2x u u and y 3 u u uu no solution uu
+
uu
x-intercept:
.
coordinates ofj the point into the uu uu uu uu uu none When x = uu u u u u
uuequation:
f1 ıh f1ıh' 1 +
u u u u u u
' ,3 →—2 u u
(3)=—1→— uu u u
0, y = 5y- u u u u u u
1+1=—1 is u u
y' intercept: (0, 5)
'
uu uu
2 J y2J 3 25. When yj = 0,
u u u u uu u u
a false statement. So no the point
uu u u uu uu uu u u
xj =j 7 x-
u u uu u u uu
uuis not on theline.
uu uu u u
intercept: (7, u u
f 1h f 1 h uu u u
0)0 = 7 u u uu
.14 —2 +' ı (—1) =—1 uu u u u u
uu u u is true so yes the
uu uu uu uu no solution uu
point is uu uu
y-intercept: none
y'3ıJ y'3ıJ
uu
on the line. uu uu
26. u 0 = –8x
u u u uu
15. m = 5, b = 8 u u uu u u u u u u
x = 0 u u u u
x-intercept: (0, 0) uu uu
16. m = –2 and b = u u u u u u u u u u
yj = –8(0)
uu u u
–6 u u
yj = 0 uu u u
y-intercept: (0, 0) uu uu
17. y =j 0x + 3; m
u u uu u u u u u u
= 0, b
u u u u u u
= 3 u u
2 2 1 u u
27 0 = x –1
18 yj = x +0; m = , b = uu u u u u uu
uu uu u u uu u u uu
0
uu
. 3
. 3 3 xj = 3 uu uu
19. 14x +7 yj = 21 x-intercept: (3, 0) uu uu
u u u u uu uu uu uu
1 uu
7 yj =j—14x +21
uu uu uu
y = (0) – 1
uu u u uu uu
3
y = —2x +3
uu uu uu
y = –1
u u u u
y-intercept: (0, –1) uu uu
20 x— y = 3
uu uu uu uu y
. —yj =j—xj +3 uu u
y = xj—3uu uu
(3, 0) uu
21. 3x = 5 uu uu
x
5 (0, –1)
x = uu uu
uu
3
1 2 28. u u When x = 0, yj = 0. u u uu uu u u uu u u
– x uu yj =10 uu
22 uu uu
3 When x = 1, yj = 2.
+
uu
2 2 1
u u uu u u u u uu uu
. u u y
y = u u u u
u u
xj +10 uu
3 2 (1, 2) uu
3 u u
yj = uu u u xj (0, 0) uu
x
+15
uu
4
23. 0j =j—4x +8 uu uu
yj = 8uu u u
4x = 8 u u uu
1-2
xj = 2 uu uu
x-intercept: (2, uu
uu0)
yj = –4(0) + 8
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