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.
38.
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- 5. Solve. 3 1 8 x² – 25 x+5 x-5arrow_forwardSubtract 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_forwardWhat is the smallest positive integer value of x where y=3x exceeds y=3x+3? What is the corresponding value for y?arrow_forward
- Exercises 38–40 will help you prepare for the material covered in the first section of the next chapter. In Exercises 38-39, simplify each algebraic expression. 38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6) 39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9) 40. The figures show the graphs of two functions. y y 201 10- .... -20- flx) = x³ glx) = -0.3x + 4x + 2arrow_forward5. Solve for x. 10x + 14 &x - 23arrow_forward3 2 Find the value of x if 1 = 10.arrow_forward
- In Problems 75–84, find the real solutions of each equation.arrow_forwardIn Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded to two decimal places. 1. y = x? + 4x + 2 4. y = 3x? + 5x + 1 2. y = x? + 4x – 3 3. y = 2x? + 4x + 1 5. y = 2r – 3x – 1 6. y = 2x? – 4x – 1arrow_forward(8) y=x +5 (12 -6 -5 -2 5. 13 MEarrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell