By Soo T. Tan
Market-leading utilized arithmetic FOR THE MANAGERIAL, existence, AND SOCIAL SCIENCES, fifth version, is a standard textual content with a marginally glossy consider. This re-creation comprises know-how in this sort of method that either conventional and sleek practitioners locate the help they should educate successfully. carrying on with its culture of mathematical accuracy, the recent 5th version teaches by means of software and makes use of actual and real looking examples to encourage scholars. It combines good idea with cutting edge studying instruments, contains a strong complement package deal, and provides unequalled flexibility that makes the path effortless to coach. obtainable for majors and non-majors alike, the booklet makes use of an intuitive technique that introduces summary innovations via examples drawn from universal, real-life studies to which scholars can relate. It additionally attracts functions from readers' fields of curiosity. furthermore, insightful Portfolios spotlight the careers of genuine humans and talk about how they include math into their expert lives. various workouts be sure scholars have a superb realizing of textual content recommendations earlier than advancing to the following subject. Bringing strong assets to scholars' fingertips, the text's interesting array of supplements--including more suitable WebAssign, answer movies, and private Tutor--equips scholars with large studying aid to assist them maximize their examine time.
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Additional resources for Applied Mathematics: For the Managerial, Life, and Social Sciences, Fifth Edition
23 3x ϩ 1 2x 3x ϩ 1 2x ϩ 2 ϭ ϩ 1x ϩ 1 2 1x Ϫ 12 12x ϩ 1 2 1x Ϫ 1 2 x Ϫ1 2x Ϫ x Ϫ 1 LCD ϭ 2x12x ϩ 1 2 ϩ 13x ϩ 1 2 1x ϩ 12 (2x ϩ 1) и ϭ 1x ϩ 1 2 1x Ϫ 1 2 12x ϩ 1 2 (x ϩ 1)(x Ϫ 1) 2 4x 2 ϩ 2x ϩ 3x 2 ϩ 3x ϩ x ϩ 1 1x ϩ 1 2 1x Ϫ 1 2 12x ϩ 1 2 7x 2 ϩ 6x ϩ 1 ϭ 1x ϩ 1 2 1x Ϫ 1 2 12x ϩ 12 ϭ c. 1 1 1 # x 1 xϩh Ϫ ϭ Ϫ # x x x xϩh xϩh xϩh xϩh x Ϫ ϭ x1x ϩ h 2 x1x ϩ h 2 LCD ϭ x(x ϩ h) xϪxϪh x1x ϩ h 2 h ϭϪ x1x ϩ h 2 ϭ Compound Fractions A fractional expression that contains fractions in its numerator and/or denominator is called a compound fraction.
11. x2 Ϫ 4 2x 2 Ϫ x Ϫ 6 x3 ϩ y3 x Ϫ xy ϩ y 2 2 8. 10. 12. 4 RATIONAL EXPRESSIONS In Exercises 13–46, perform the indicated operations and simplify. 13. 15. 6x 3 32 3x # 8 3x 3 8x 2 Ϭ 3x 17. x ϩ 2y 14. 2 15x 4 16. 16x 5 # 22. 23. 24. 25. 27. 28. 29. 30. 6r 2 Ϫ r Ϫ 2 2r ϩ 4 k ϪkϪ6 # 2x2 2 Ϭ 4 x Ϫ9 2 Ϫ 35. 3y Ϫ 6 6y ϩ 24 20. Ϭ 4y ϩ 6 8y ϩ 12 36. 37. ϪxϪ6 y ϩ y Ϫ1 2 x x ϩ 5x ϩ 6 2x ϩ 1 2x 2 Ϫ x Ϫ 1 ϩ Ϫ 2 x Ϫ4 2 26. xϩ3 2x Ϫ 1 Ϫ xϩ2 xϪ1 y x ϩ ax Ϫ ay by Ϫ bx 1 x ϩxϪ2 2 2 43. 5 Ϫ 3 x ϩ 3x ϩ 2 2 xϩ1 38.
Give an example of a polynomial of degree 4 in x. 2. Without looking at the text, complete the following formulas: a. (1 ϩ b)2 ϭ ______ b. (a Ϫ b)2 ϭ ______ c. 2 Exercises 41. (2u Ϫ √)(2u ϩ √) In Exercises 1–12, evaluate the expression. 1. 34 2 3. a b 3 2. (Ϫ2)5 3 4. aϪ b 4 3 3 7. Ϫ2 a b 5 2 9. 23 и 25 11. (3y)2(3y)3 44. (3m ϩ 2)2 Ϫ 2m(1 Ϫ m) Ϫ 4 3 2 3 8. aϪ b aϪ b 3 4 3 2 46. (x Ϫ 2y)( y ϩ 3x) Ϫ 2xy ϩ 3(x ϩ y Ϫ 1) 3 10. (Ϫ3)2 и (Ϫ3)3 12. (Ϫ2x)3(Ϫ2x)2 In Exercises 13–56, perform the indicated operations and simplify.