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Chapter A3, Problem 52E
To determine

To calculate: The domain of the expression 12x+3+64x.

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In Exercises 102–103, perform the indicated operations. Assume that exponents represent whole numbers. 102. (x2n – 3x" + 5) + (4x2" – 3x" – 4) – (2x2 – 5x" – 3) 103. (y3n – 7y2n + 3) – (-3y3n – 2y2" – 1) + (6y3n – yn + 1) 104. From what polynomial must 4x? + 2x – 3 be subtracted to obtain 5x? – 5x + 8?
In Exercises 83–100, use the order of operations to simplify each expression. 83. 4(-5) – 6(-3) 84. 8(-3) – 5(-6) 85. 3(-2)? – 4(-3)² 86. 5(-3)2 – 2(-2)2 87. 82 – 16 + 2² .4 – 3 88. 10 - 100 + 52.2 - 3 5.2 - 32 10 + 2 + 3.4 90. (12 – 3.2) 89. [3 - (-2) 91. 8 - 3[-2(2 - 5) – 4(8 – 6)] 92. 8 - 3[-2(5 – 7) - 5(4 - 2)1 2(-2) – 4(-3) 93. 5 - 8 6(-4) – 5(-3) 94. 9 - 10 (5 – 6)? – 2|3 – 7| 95. 89 – 3.52 12 + 3.5|22 + 32| 96. 7 + 3 - 62 97. 15 - V3 - (-1) + 12 + 2.3 98. 17 - |5 - (-2)| + 12 + 2.3 99. 20 + 1 - V102 - (5 + 1)(-2) 100. 24 - V3. (5 – 2) + [-1 – (-3)|r
Make Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.
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