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For Exercises 1–10, let
Determine whether each expression is defined. If it is, evaluate it.
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Finite Mathematics
- 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_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_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_forward
- 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_forwardThe length of each of the following classes respectively is: Class A: [84.96 – 210.76] Class B: [8.5 – 20.3] Class C: [2.397 8.014] O 125.81 , 12.0 and 5.518 O 125.82, 12.0 and 5.618 O 125.80 , 11.9 and 5.617 O 125.81, 11.9 and 5.619 O 125.81, 11.9 and 5.618arrow_forwardFind A. 5 -2 (4)–1 -4 2 A = IIarrow_forward
- For Exercises 99–103, perform the indicated operations. 1 + =i 6. 99. + -i 100. (4 – 7i)(5 + i) 3 5 101. (4 – 6i)? 102. (8 – 3i)(8 + 3i) 4 + 3i 103. 3 - iarrow_forwardFor 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_forwardNO. 2 ONLY!arrow_forward
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