Solution Manual For Algebra and Trigonometry, 5th Edition Judith A. Beecher Solution Manual

Solution Manual for Algebra a
Edition Judith A. Beecher

, INSTRUCTOR’S
SOLUTIONS MANUAL
JUDITH A. PENNA



A LGEBRA & T RIGONOMETRY
FIFTH EDITION

P RECALCULUS : A R IGHT
T RIANGLE A PPROACH
FIFTH EDITION


Judith A. Beecher
Judith A. Penna
Marvin L. Bittinger
Indiana University Purdue University Indianapolis

, Contents
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . 57

Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . 107

Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . 163

Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . 249

Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . 305

Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . 357

Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . 399

Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . 451

Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . 551

Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . 635

Just-in-Time Review . . . . . . . . . . . . . . . . . . . . . 677

Chapter R . . . . . . . . . . . . . . . . . . . . . . . . . . 687

, Chapter 1
Graphs, Functions, and Models
4. y
Exercise Set 1.1
4 (1, 4)

1. Point A is located 5 units to the left of the y-axis and 2
(
5, 0) (4, 0)
4 units up from the x-axis, so its coordinates are (−5, 4).
4
2 2 4 x
Point B is located 2 units to the right of the y-axis and
2
(
4,
2)
2 units down from the x-axis, so its coordinates are (2, −2).
4 (2,
4)
Point C is located 0 units to the right or left of the y-axis
and 5 units down from the x-axis, so its coordinates are
(0, −5). 5. To graph (−5, 1) we move from the origin 5 units to the
left of the y-axis. Then we move 1 unit up from the x-axis.
Point D is located 3 units to the right of the y-axis and
5 units up from the x-axis, so its coordinates are (3, 5). To graph (5, 1) we move from the origin 5 units to the right
of the y-axis. Then we move 1 unit up from the x-axis.
Point E is located 5 units to the left of the y-axis and
4 units down from the x-axis, so its coordinates are To graph (2, 3) we move from the origin 2 units to the right
(−5, −4). of the y-axis. Then we move 3 units up from the x-axis.
Point F is located 3 units to the right of the y-axis and To graph (2, −1) we move from the origin 2 units to the
0 units up or down from the x-axis, so its coordinates are right of the y-axis. Then we move 1 unit down from the
(3, 0). x-axis.
To graph (0, 1) we do not move to the right or the left of
2. G: (2, 1); H: (0, 0); I: (4, −3); J: (−4, 0); K: (−2, 3); the y-axis since the first coordinate is 0. From the origin
L: (0, 5) we move 1 unit up.
3. To graph (4, 0) we move from the origin 4 units to the right
y
of the y-axis. Since the second coordinate is 0, we do not
move up or down from the x-axis.
4
To graph (−3, −5) we move from the origin 3 units to the (2, 3)
2
left of the y-axis. Then we move 5 units down from the (
5, 1) (0, 1) (5, 1)
x-axis.
4
2 4 x
To graph (−1, 4) we move from the origin 1 unit to the left
2 (2,
1)

of the y-axis. Then we move 4 units up from the x-axis.
4

To graph (0, 2) we do not move to the right or the left of
the y-axis since the first coordinate is 0. From the origin y
6.
we move 2 units up.
To graph (2, −2) we move from the origin 2 units to the 4
right of the y-axis. Then we move 2 units down from the (
5, 2)
2
x-axis. (
5, 0) (4, 0)

4
2 2 4 x
y
2


4 (4,
3)
(
1, 4) 4 (
1,
5)
2 (0, 2)
(4, 0) 7. The first coordinate represents the year and the second co-

4
2 2 4 x ordinate represents the number of Sprint Cup Series races

2 (2,
2)
in which Tony Stewart finished in the top five. The or-
(
3,
5)
4 dered pairs are (2008, 10), (2009, 15), (2010, 9), (2011, 9),
(2012, 12), and (2013, 5).

8. The first coordinate represents the year and the second
coordinate represents the percent of Marines who are
women. The ordered pairs are (1960, 1%), (1970, 0.9%),
(1980, 3.6%), (1990, 4.9%), (2000, 6.1%), and (2011, 6.8%).


. 
c .