Concept explainers
For Exercises 2–10, substitute the given number into the expression and simplify (if possible). (See Example 1.)
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Beginning and Intermediate Algebra
- 1 Which of the following is equivalent to (2x*) (4x-+)? A B D Earrow_forwardPage 102 #1 1. What is the value of 4(x- 2)(x-3)+7(x- 2)(x- 5)-6(x- 3)(x- 5) when x = 5? Show your work or explain your reasoning. Submitarrow_forward2. On the basis of (7.18), find the partial derivatives ay*/alo, ay/ax, and aY* /aß. Inter- pret their meanings and determine their signs. 3. The numerical input-output model (5.21) was solved in Sec. 5.7. tati deriuntiver can be dorivod?arrow_forward
- The expression 8lx®y® is equivalent to 8..6 3 3 (1) 3x²y? (3) 9r²y? (2) 3xty² (4) 9x*y²arrow_forwardExplain why this exact step being displayed in this problem is being taken.arrow_forwardSelect the correct representation of the expression (5 + x) (3 +x) without brackets. a. x2 + 15x + 8 b. x2 + 8x + 8 c. x2 + 8x + 15 d. 5x2 + 3x + 15arrow_forward
- 2. Answer the questions below please: a. When x = 2, what is 10/x + 4? _____ b. If x = -4.5, what is x + 10? _____ c. Simplify (combine like terms): 5x + 2x = ____ 4a + 6a – 2a = _____ 10y + 2y + 3 + 3 = ________________ d. Write an inequality to represent this: Joey was faster than Mike. (use J & M variables, and < or >) __________ e. The answer to question below is: ____ f. The answer to question below is: ____arrow_forwardQuestion 9 Which expression shows an expanded form of (7m² + 3m)(8m –6)? 56m – 18m? – 18m 56m2 - 18m – 18 56m3 – 24m2 – 18m D 56m3 - 36m2arrow_forwardFor Exercises 81–100, make an appropriate substitution and solve the equation. (See Examples 10–11) 81. (2x + 5)? – 7(2x + 5) - 30 = 0 82. (Зх — 7)? - 6(3х — 7)-16 3D 0 83. (x + 2x)? – 18(r + 2x) = -45 84. (x + 3x)? - 86. (у? — 3)? — 9(y? — 3) — 52 %3D 0 14(x + 3x) = -40 85. (x + 2)2 + (x + 2) – 42 = 0 10 2 10 - 61 m - - 27 = 0 x + + 35 = 0 87. 88. - 121 x + т - m m 89. 2 + 2 + = 12 90. + 3 + 6 + 3 = -8 91. 5c2/5 11c/5 + 2 = 0 92. З3 d'/3 – 4 = 0 93. y'/2 – y/4 6 = 0 94. n'/2 + 6n/4 – 16 = 0 95. 9y 10y + 1 = 0 96. 100х-4 29x-2 + 1 = 0 | 97. 4t – 25 Vi = 0 98. 9m – 16Vm = 0 100. 392 + 16q -1 99. 30k-2 – 23k- + 2 = 0 + 5 = 0arrow_forward
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