In Exercises 17–26, let
Solve each matrix equation for X.
X-B=A
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COLLEGE ALGEBRA
- 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_forwardExercises 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_forwardIn Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1 1 x + 3 x - 1 ||arrow_forward
- 5. Find A³ if A = {c, d}.arrow_forwardFor Exercises 37–44, find the difference quotient and simplify. (See Examples 4-5) 37. f(х) — — 2х + 5 38. f(x) = -3x + 8 39. f(x) = -5x² – 4x + 2 40. f(x) = -4x - 2x + 6 41. f(x) = x' + 5 42. f(x) = 1 43. f(x) = 1 44. f(x) = x + 2arrow_forwardAnswers are either 361/9 or 160/3 Please show workarrow_forward
- For Exercises 27–30, simplify the powers of i. (See Example 2) 27. а. 20 b. 29 28. а. 32 b. 47 с. 50 29. а. 37 d. i 41 b. i3 c. 66 -37 30. а. i103 d. 27 b. i c. 82 -103 d. i 82 с. 52 d. i 52arrow_forwardFor Exercises 7–18, write each expression in terms of i and simplify. (See Example 1) 7. V-121 8. V-100 9. V-98 10. V-63 11. V-4V-9 12. V-IV-36 13. V-10V=5 14. V-6V-15 V-98 15. V-2 V-45 16. V-5 V-63 17. V-80 18. V5 Vīarrow_forwardIn Exercises 21-24, calculate det(A). 1 −1 2 3001 2 1 20 3112 21. A = 2arrow_forward
- Find [4x³ (In x)² dx. O A. 1.4 X x In²x + In x + O B. x² ln² x - ln x + O C. x ln x O D. x ln x X 2 4 x² 2 2 X 4 2 ln x + - ln x + 1.4 8 x4 8 4 x² 2 x4 8 + C + C + C + Carrow_forwardwhat is a sloution for y=mx+b ?arrow_forwardIn Exercises 65–74, factor by grouping to obtain the difference of two squares. 6x + 9 – y? 12x + 36 – y? 65. x? 66. x2 67. x + 20xr + 100 68. x? + 16x + 64 – x4 69. 9x2 70. 25x? – 20x + 4 – 81y? 30x + 25 – 36y? 71. x* - x? – 2x – 1 72. x4 -х2 — бх — 9 x? + 4xy – 4y2 x²+ 10xy - 25y2 73. z? 74. z? - rarrow_forward
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