By Ron Larson

Collage ALGEBRA AND CALCULUS: AN utilized procedure, the most recent addition to the Larson utilized math family members, permits your scholars to think convinced relocating from university algebra to utilized calculus. The mathematical options and purposes are always awarded within the similar tone and pedagogy. the mix of those matters into one textual content won't merely prevent time on your direction, however it also will keep your scholars the price of an additional textbook.

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**Sample text**

4͒Ϫ2͞5. 874. Application Example 11 Escape Velocity A rocket, launched vertically from Earth, has an initial velocity of 10,000 meters per second. All of the fuel is used for launching. 37 ϫ 106 ϫ 1024͒ meters per second. Will the rocket escape Earth’s gravitational field? 05 ϫ 10 6 meters per second? 7 meters per second. 7 meters per second. So, the rocket will not escape Earth’s gravitational field. 67 Ί The escape velocity is ϫ 1024͒ CONCEPT CHECK Let m and n be positive real numbers greater than 1.

A ϩ b͒ ϭ ͑Ϫa͒ ϩ ͑Ϫb͒ Ϫ ͑3 ϩ 8͒ ϭ ͑Ϫ3͒ ϩ ͑Ϫ8͒ 14 CHAPTER 0 Fundamental Concepts of Algebra Be sure you see the difference between the opposite of a number and a negative number. If a is negative, then its opposite, Ϫa, is positive. For instance, if a ϭ Ϫ5, then Ϫa ϭ Ϫ ͑Ϫ5͒ ϭ 5. Properties of Zero Let a and b be real numbers, variables, or algebraic expressions. Then the following properties are true. 1. a ϩ 0 ϭ a and aϪ0ϭa 2. a и 0 ϭ 0 3. 0 ϭ 0, a 4. a is undefined. 0 a 0 5. Zero-Factor Property: If ab ϭ 0, then a ϭ 0 or b ϭ 0.

48 40. 24 41. 240 42. 150 In Exercises 17–22, evaluate the expression when x ؍3, y ؍؊2, and z ؍4. In Exercises 43–50, perform the indicated operation(s). ) 17. x ϩ 3y ϩ z 18. 6z ϩ 5x Ϫ 3y 43. 2 19. x 2 Ϫ 5y ϩ 4z 20. z 2 ϩ 6y Ϫ x xϪy 21. 5z 4z Ϫ 2y 22. 20x 45. 47. 49. 5 8 2 5 2 3 77 Ϫ11 44. 27 Ϫ 35 4 ϩ 14 Ϫ 56 46. 10 11 и 78 Ϭ8 6 ϩ 33 Ϫ 13 66 2 5 48. ͑Ϫ 3 ͒ и 8 50. 2 In Exercises 51–54, use a calculator to evaluate the expression. ) 5 3 51. 3͑Ϫ 12 ϩ 8 ͒ 53. 1 52. 91 54. 65 56. 35% of 820 57.