By Michael Sullivan, Michael Sullivan III
Michael Sullivan’s time-tested strategy focuses scholars at the primary talents they wish for the direction: preparing for category, practicing with homework, and reviewing the techniques. The Enhanced with Graphing Utilities Serieshas advanced to satisfy today’s direction wishes by means of integrating using graphing calculator, active-learning, and know-how in new how you can aid scholars succeed of their path, in addition to of their destiny endeavors.
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Extra resources for Algebra and Trigonometry Enhanced with Graphing Utilities (6th Edition)
X + 5)(x + 1) 95. (x - 2)(x + 1) 96. (x - 4)(x + 1) 97. (x - 8)(x - 2) 98. (x - 4)(x - 2) Explaining Concepts: Discussion and Writing 99. Explain to a friend how the Distributive Property is used to justify the fact that 2x + 3x = 5x. 100. Explain to a (2 + 3) # 4 = 20. friend why 2 + 3 # 4 = 14, whereas 101. Explain why 2(3 # 4) is not equal to (2 # 3) # (2 # 4). 109. Are there any real numbers that are both rational and irrational? Are there any real numbers that are neither? Explain your reasoning.
3 3 xy z 4x -2(yz)-1 93. ¢ 3 4 2 x y 3x -1 4y -1 ≤ -2 94. ¢ 5x -2 -3 ≤ 6y -2 In Problems 95–106, find the value of each expression if x = 2 and y = - 1. 97. x 2 + y 2 98. x 2 y 2 95. 2xy -1 96. - 3x -1 y 99. (xy)2 100. (x + y)2 101. 2x 2 102. ( 1x)2 104. 2x 2 + 2y 2 105. x y 106. y x 103. 2x 2 + y 2 107. Find the value of the expression 2x 3 - 3x 2 + 5x - 4 if x = 2. What is the value if x = 1? 108. Find the value of the expression 4x 3 + 3x 2 - x + 2 if x = 1. What is the value if x = 2? (666)4 109.
To avoid this ambiguity, we have the following agreement. In Words Multiply first, then add. We agree that whenever the two operations of addition and multiplication separate three numbers, the multiplication operation will always be performed first, followed by the addition operation. For 2 + 3 # 6, we have 2 + 3 # 6 = 2 + 18 = 20 EX AM PL E 8 Finding the Value of an Expression Evaluate each expression. 1 Figure 8 Real Numbers 9 Figure 8 shows the solutions to Example 8 using a graphing calculator.