By Ron Larson
This market-leading textual content maintains to supply scholars and teachers with sound, always dependent motives of the mathematical thoughts. Designed for a two-term direction, the recent 8th variation keeps the positive aspects that experience made Algebra and Trigonometry a whole answer for either scholars and teachers: attention-grabbing purposes, state-of-the-art layout, and leading edge know-how mixed with an abundance of conscientiously written routines.
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Extra resources for Algebra and Trigonometry (Eighth Edition)
3x3 ϩ x2 Ϫ 27x Ϫ 9 1 3 3 1 2 106. 5 x3 ϩ x2 Ϫ x Ϫ 5 4 x ϩ 3x ϩ 4 x ϩ 9 ͑t Ϫ 1͒ 2 Ϫ 49 108. ͑x 2 ϩ 1͒ 2 Ϫ 4x 2 ͑x 2 ϩ 8͒ 2 Ϫ 36x 2 110. 2t 3 Ϫ 16 5x 3 ϩ 40 112. 4x͑2x Ϫ 1͒ ϩ ͑2x Ϫ 1͒ 2 5͑3 Ϫ 4x͒ 2 Ϫ 8͑3 Ϫ 4x͒͑5x Ϫ 1͒ 2͑x ϩ 1͒͑x Ϫ 3͒ 2 Ϫ 3͑x ϩ 1͒ 2͑x Ϫ 3͒ 7͑3x ϩ 2͒ 2͑1 Ϫ x͒ 2 ϩ ͑3x ϩ 2͒͑1 Ϫ x͒3 7x͑2͒͑x 2 ϩ 1͒͑2x͒ Ϫ ͑x2 ϩ 1͒ 2͑7͒ 3͑x Ϫ 2͒2͑x ϩ 1͒4 ϩ ͑x Ϫ 2͒ 3͑4͒͑x ϩ 1͒ 3 2x͑x Ϫ 5͒ 4 Ϫ x 2͑4͒͑x Ϫ 5͒ 3 5͑x6 ϩ 1͒4͑6x5͒͑3x ϩ 2͒3 ϩ 3͑3x ϩ 2͒2͑3͒͑x6 ϩ 1͒5 x2 120. ͑x2 ϩ 1͒4 Ϫ ͑x 2 ϩ 1͒5 2 89. 91. 93. 95.
139. x 2 ϩ bx Ϫ 15 141. x 2 ϩ bx ϩ 50 140. x 2 ϩ bx Ϫ 12 142. x 2 ϩ bx ϩ 24 In Exercises 143–146, find two integer values of c such that the trinomial can be factored. ) 143. 2x 2 ϩ 5x ϩ c 145. 3x 2 Ϫ x ϩ c 144. 3x 2 Ϫ 10x ϩ c 146. 2x 2 ϩ 9x ϩ c 147. GEOMETRY The volume V of concrete used to make the cylindrical concrete storage tank shown in the figure is V ϭ R 2h Ϫ r 2h, where R is the outside radius, r is the inside radius, and h is the height of the storage tank. R h (c) An 80-pound bag of concrete mix yields 5 cubic foot of concrete.
8 74. 2 2 75. 5 ϫ 109 76. 3 ϫ 104 (b) Ί (b) Ί9 ϫ 10Ϫ4 In Exercises 77 and 78, use the properties of radicals to simplify each expression. 5 2 5 77. (a) ͑Ί ͒ 78. (a) Ί12 и Ί3 5 96x5 (b) Ί 4 ͑3x2͒4 (b) Ί In Exercises 79–90, simplify each radical expression. 79. (a) Ί20 3 16 80. (a) Ί 27 81. (a) Ί72x3 82. (a) Ί54xy4 83. 84. 85. 86. 87. 88. (a) (a) (a) (a) (a) (a) (b) 89. (a) (b) 90. (a) (b) 3 16x5 Ί 4 3x 4 y 2 Ί 2Ί50 ϩ 12Ί8 4Ί27 Ϫ Ί75 5Ίx Ϫ 3Ίx 8Ί49x Ϫ 14Ί100x Ϫ3Ί48x 2 ϩ 7Ί 75x 2 3Ίx ϩ 1 ϩ 10Ίx ϩ 1 7Ί80x Ϫ 2Ί125x Ϫ Ίx 3 Ϫ 7 ϩ 5Ίx 3 Ϫ 7 11Ί245x 3 Ϫ 9Ί45x 3 3 (b) Ί 128 (b) Ί75 4 182 (b) z3 32a4 (b) b2 (b) Ί75x2yϪ4 5 160x 8z 4 (b) Ί (b) 10Ί32 Ϫ 6Ί18 3 16 ϩ 3Ί 3 54 (b) Ί (b) Ϫ2Ί9y ϩ 10Ίy Ί Ί In Exercises 91–94, complete the statement with < , ؍, or >.
Algebra and Trigonometry (Eighth Edition) by Ron Larson