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Unformatted text preview: sum of two or
more terms. 1
4 43. 3 1 3
x
x 3x 2
4 23 1
2 41. 1 4 3x2 1 23 2x 7
10 3
22. 4x x3 5
3
x
2x2 2
12
y
28.
169
9x 2 16y 2
29.
25
49
27. 1
3 5 4x 6
3x 7
x x2 7x2
10 20. 14 24. x 1
25. 1
5 5x 4 3y 2 In Exercises 39 – 42, write the expression using negative
exponents.
39. 19. 3 1
2x
37.
10 y 16. x 2x 7
x x2 12x 2 y2
78 34. 3 2x 4x 2 6x
12.
6x 1
5x 1 33. x 1 xy xz 25 10. 5
b 1
5 36. 1 1 x
xx x 35. 1 5x
a x 8. 4x 9 2x 2 x 5 6. x yz ax
ay x 9. 1 4. 30z x
y 7. a 4
14x 1 1 y2
23 y2
51. 2 x2
x5
6x 3 3 x2
1 3 3 2x x 1
27x 2 4 13 3x
x 132 2x
x5
2 x2 1 1 2 x2
3 3 2 5 x4 2 9x 3
6x 1 3 2x 3 6x
2 126 1 333202_0A07.qxd 12/6/05 A76 Appendix A
4x 2 52. x 53. 9122
2 x 1 3 2 4x2
912 2 2x
4x 2
23 3 11 2 3x
x 2 1
2 1 x
3 2 3x 2 12 x
1 57. x2 41 1
x2 59. x 2 6 12
x
2 2 1 2x 51
2 2
1 12 3x 23 1 62. (a) Verify that y1 3 2x 3x 2 1 2 2 2x 4 8x 12 20 2x 4x 2 3
3 x2 1 2 3 23 1 x2 2x 1 1 3 2x (b) Complete the table and demonstrate the equality in part
(a) numerically. 23 21 x2 2 12 5 4 x
6 0 1 5
2 2 y1 2x 3x 2 32 3 2 Synthesis
True or False? In Exercises 63–66, determine whether the
statement is true or false. Justify your answer.
63. x 1 65. 4 where x is the distance down the coast (in miles) to which
she swims and then leaves the water to start her run. 1
x4 y x 4−x
x
Run 2 mi
Finish 64. 4
16 x 66. 1
x 2 y x2
x x2 9
3 y x 1 3 In Exercises 67–70, find and correct any errors. If the problem is correct, state that it is correct. 69. x 2n Swim y2 x
xy 2 2 67. x n x 3n Start
2 mi 1
2 1 y2
1
2 63 2 x 61. Athletics An athlete has set up a course for training as part
of her regimen in preparation for an upcoming triathlon. She
is dropped off by a boat 2 miles from the nearest point on
shore. The finish line is 4 miles down the coast and 2 miles
inland (see figure). She can swim 2 miles per hour and run
6 miles per hour. The time t (in hours) required for her to
reach the finish line can be approximated by the model
t y1
y2 6x 4 x2 x y2 analytically. 12
x2
x
3 6121 3x 1
6 12 4 2123 x x2
2 x2 2 3x 2 1
2x 23 5 3x
60. 3x 1
3 2x
23 14 12 1 12 4 2 (c) The expression below was obtaine...
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This note was uploaded on 01/16/2014 for the course MATH 135 taught by Professor Noone during the Summer '08 term at Rutgers.
 Summer '08
 NOONE
 Calculus, Algebra

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