Finite Mathematics & Its Applications (13th Edition) – Solution Manual | Larry J. Goldstein | Complete Worked Solutions

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

, 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 10: The Mathematics of Finance 10–1

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

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


(2, 3
x
x




7. Left 20, up 40
2. Left 1, up 4 y
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 is 2 units to the left and 2 units up or
4. Right 2
y (—2, 2).

10. Point P is 3 units to the right and 2 units down or
(3,—2).
x
(2, 0 1
11. —2(1) + (3) = —2 +1 = —1so yes the point is
3
on the line.

5. Left 2, up 1 1
12. —2(2) + (6) = —1 is false, so no the point is not
y
3
on the line

(–2, 1)
x



1-1

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


1 24. u 0 u = u 5
13 —2x y u= u—1 u Substitute uthe ux uand no u solution
uy u3
u+ x-
.
coordinates uof uthe upoint uinto u the intercept: unone
uequation:
f1 ıh f1 h u 1
' u ,u3 u →u—2ı' + u (3)= u—1 u→ u—1+1 u= u—1 u is
When ux u= u0, uy
y' I ' ı u= u5y-

intercept: u(0, u5)
2 J y2J 3
a ufalse ustatement. uSo uno uthe upoint uis unot 25. When u y u = u 0, u x u = u 7
uon utheline. x-
fu1h f 1u h intercept: u (7, u 0)0
14 —2 ' ı +' uı u (—1) u=u—1 u is utrue uso uyes uthe = u7
.
upoint uis no u solution
y-intercept: unone
y'3ıJ u 'y3ıJ
u on uthe uline.
26. 0 u = u –8x
15. m u = u 5, u b u = u 8 x u = u0
x-intercept: u(0, u0)
16. m u = u –2 u and u b u = u –6 y u = u –8(0)
y u = u0
17. y u = u 0x u + u 3; u m u = u 0, y-intercept: u(0, u0)
ub u=

3
2 2 1u
y u = x u+u0; u m u= , u b u= 27 0 u= u x u– u1
18 3
u0
.
. 3 3 x u = u3
x-intercept: u(3, u0)
19. u 14x u+u7 uy u= u21 1u
y u= u (0) u– u1
7 uy u=u—14x u+u21 3
y u = u—2x u+u3 y u = u –1
y-intercept: u(0, u–1)
20 xu— uy u=u3 y
. —y u = u—x u+A3
y u= ux u—3
(3, 0)
21. u u3x u= u5 x
5 (0, –1)
x u= u
3
1 2 28. When u x u = u 0, u y u = u 0.
– u ux y u =u10
u
22 3 When u x u = u 1, u y u = u 2.
u+ 2
. 2u 1u y
y u= u x
+10
u

3 2 (1, 2)
3u
y u= u x (0, 0) x

u +15
4
1-2