3x 2 5 2 21 3x 2 1 3x 23 x2 x3 26 x2 2x 30 2x 9y2 16

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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.

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