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Concept explainers
In Problems 35–42, imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class.
(A) Is the solution correct? If the solution is incorrect, explain what is wrong and how it can be corrected.
(B) Show a correct solution for each incorrect solution.
42.
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Chapter A.4 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
- Subtract 1.2a“ – 0.7a from the sum of 0.6 a4 + 1.5a and 0.4 a4 - 1.1a First, we will translate the words of the problem into mathematical symbols. Then we will perform the indicated operations. The words of the problem contain the key phrases subtract from and sum. Since 1.2a4 – 0.7a is to be subtracted from the sum, the order must be reversed when we translate to mathematical symbols. Subtract 1.2a4 0.7a from the sum of 0.6a + 1.5a and 0.4a4 1.1a. [(0.6 a4 + 1.5a) + (0.4 at – 1.1a) ] - (1.2a* – 0.7a) Use brackets [ ] to enclose the sum. Next, we remove the grouping symbols to obtain 0.6 a4 + 1.5a + 0.4 at – 1.1a -1.2a4 + 0.7a Change the sign of each term within (1.2a4 - 0.7a) and drop the parentheses. at+ a Combine like terms. %D Subtract -0.6q? – 0.6q from the sum of 0.1q? - 0.6q and 0.3q² + 0.1q.arrow_forward5. Solve. 3 1 8 x² – 25 x+5 x-5arrow_forwardSimplify the algebraic expressions in Problems 1–14 by combining similar terms. 5x - 8x + xarrow_forward
- In Problems 49–54, perform the indicated operations, and express your answer in the form a + biarrow_forwardWhat is the smallest positive integer value of x where y=3x exceeds y=3x+3? What is the corresponding value for y?arrow_forwardIn Problems 37–44, expressions that occur in calculus are given. Reduce each expression to lowest terms.arrow_forward
- Simplify the algebraic expressions in Problems 1–14 by combining similar terms. 4n - 9n - narrow_forwardFor Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression. 2(x + h)? + 3(x + h) · 5. (2x + 3x) 3(x + h - 4(x + h) – (3x - 4x) 6. h 1 1 1 1 (x + h) – 2 7. x - 2 2(x + h) + 5 8. 2x + 5 h (x + h) – x 9. (x + h) 10. - X h harrow_forwardSimplify the algebraic expressions in Problems 1–14 by combining similar terms. -xy + z - 8xy - 7zarrow_forward
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