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In Exercises 1–28, compute the products. Some of these may be undefined. Exercises marked should be done by using technology. The others should be done in two ways: by hand and by using technology where possible. [HINT: See Example 3.]
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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_forwardScientific Notation. In Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation. 614arrow_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
- In Exercises 11–14, use a product-to-sum formula to find the exact value. (See Example 2)arrow_forwardIn Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0. 19. F(x) = x3 +x2- 1arrow_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
- In Exercises 83–92, factor by introducing an appropriate substitution. 83. 2r* – x? – 3 84. 5x4 + 2x2 3 85. 2r6 + 11x³ + 15 86. 2x + 13x3 + 15 87. 2y10 + 7y + 3 88. 5y10 + 29y – 42 89. 5(x + 1)2 + 12(x + 1) + 7 (Let u = x + 1.) 90. 3(x + 1) - 5(x + 1) + 2 (Let u = x + 1.) 91. 2(x – 3) – 5(x – 3) – 7 92. 3(x – 2) – 5(x – 2) – 2arrow_forwardIn Exercises 14–16, divide as indicated. 14. (12x*y³ + 16x?y³ – 10x²y²) ÷ (4x?y) 15. (9x – 3x2 – 3x + 4) ÷ (3x + 2) 16. (3x4 + 2x3 – 8x + 6) ÷ (x² – 1)arrow_forwardFor Exercises 9–14, find the modulus of each complex number. (See Example 2) 9. а. 20 - 21i b. -11 + 60i 10. a. 5 + 12i b. 7 - 24i 11. а. 4 6i b. -5 + 5i 12. a. -14 + 6i b. 3 + 9i 1 13. a. 3 2 3 b. - + -i 3 8 V3. b. -1 + 14. a. 2i 3 Too 2.arrow_forward
- Example 4.8.2 Simplify the following expressions: (a) Cov(8.X +3,5Y – 2), (b) Cov(10X-5, -3X + 15), (c) Cov(X+2,10X-3Y), (d) p10X,Y+4-arrow_forwardQuestions 15: (A.SSE.A.2) * The expression 4x² – 25 is equivalent to - O (4x- 5)(x+5) (4x+5)(x - 5) (2x + 5)(2x - 5) (2x - 5)(2x - 5)arrow_forwardFind the value of a such that 1 3 2 2 2.arrow_forward
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