Concept explainers
For Exercises 51–68, solve for the indicated variable. (See Examples 7–9.)
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Aleks 360 Access Card (18 Weeks) for Beginning & Intermediate Algebra
Additional Math Textbook Solutions
Graphical Approach To College Algebra
Intermediate Algebra (8th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
Elementary Algebra For College Students (10th Edition)
Intermediate Algebra
Linear Algebra with Applications (2-Download)
- For Exercises 19–26, simplify each expression and write the result in standard form, a + bi. 8 + 3i 19. 4 + 5i 20. -4 - 6i 21. 9 - 15i 22. 14 6. -2 -3 -18 + V-48 23. - 20 + V-50 14 - V-98 25. - 10 + V-125 24. 26. 4 10 -7arrow_forwardIn Exercises 65–69, solve each equation. 2x 65. 3 1 + 1 6. 66. 2 10 2 2x 67. 3 68. 4 2 + 3 4 Зх + 1 13 1 - x 69. 3 2 4 6 ||arrow_forwardFor Exercises 13–18, solve the equation a. over the interval [0, 27). (See Example 1) b. over the set of real numbers. 14. 3V2 + 6cosx = 0 15. 5secx + 10 = 3 secx + 14 18. 5cotx + 2V3 = -2cotx - 5V3 13. 2sinx + 5 = 6 16. 3(2cscx - V3) = V3 17. 3 tanx + 1 = -2(2 + tanx)arrow_forward
- For Exercises 109–111, (a) evaluate the discriminant and (b) determine the number and type of solutions to each equation. 109. 4x – 20x + 25 = 0 110. -2y = 5y – 1 111. 5t(t + 1) = 4t – 11arrow_forwardSolve. 3 3 7(x-2) + 5 1 5 (x+1) x = 2 (Simplify your answer.)arrow_forwardPlease help me to interpret this more. Thank you so much. Reference: Century National Bank Case Study Question: Mr. Selig is also interested in the ATMs. Do customers who have debit cards tend to use the ATMs differently than those who do not have debit cards? Also, is there a difference in ATM use by those with checking accounts that pay interest versus those that do not?arrow_forward
- brett expects that each guest 0.2 of a sandwich. sketch a model to show how many sandwiches brett expects the guests to eat in all.arrow_forwardSolve 5.arrow_forwardExercises 105–107 will help you prepare for the material covered in the next section. 105. Let x represent a number. a. Write an equation in x that describes the following conditions: Four less than three times the number is 32. b. Solve the equation and determine the number. 106. Let x represent the number of countries in the world that are not free. The number of free countries exceeds the number of not-free countries by 44. Write an algebraic expression that represents the number of free countries. 107. You purchase a new car for $20,000. Each year the value of the car decreases by $2500. Write an algebraic expression that represents the car's value, in dollars, after x years.arrow_forward
- Part 3. 5 Please show your solutionarrow_forwardOther Math Explain why good knowledge in Astronomy is important for fields like Accounting, Business, Education, Sociology, Religion, and/or Science. Does understanding the mysterious of the world present challenges and how are these since by the worldarrow_forwardExercises 43–52: Complete the following. (a) Solve the equation symbolically. (b) Classify the equation as a contradiction, an identity, or a conditional equation. 43. 5x - 1 = 5x + 4 44. 7- 9: = 2(3 – 42) – z 45. 3(x - 1) = 5 46. 22 = -2(2x + 1.4) 47. 0.5(x – 2) + 5 = 0.5x + 4 48. 눈x-2(x-1)3-x + 2 2x + 1 2x 49. 50. x – 1.5 2- 3r - 1.5 51. -6 52. 0.5 (3x - 1) + 0.5x = 2x – 0.5arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt