Collage Algebra With purposes For enterprise And The lifestyles Sciences Instructor's Annotated version (Hardcover)
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Additional info for College algebra : with applications for business and the life sciences : Instructor's annotated edition
7 Ϫ 3͑4 Ϫ 2͒ ϭ 7 Ϫ 3͑2͒ ϭ 7 Ϫ 6 ϭ 1 b. ͑4 Ϫ 5͒ Ϫ ͑3 Ϫ 6͒ ϭ ͑Ϫ1͒ Ϫ ͑Ϫ3͒ ϭ Ϫ1 ϩ 3 ϭ 2 ✓CHECKPOINT 2 Simplify the expression 5͑7 Ϫ 3͒ ϩ 9. TECHNOLOGY To evaluate the expression 3 ϩ 4x for the values 2 and 5, use the last entry feature of a graphing utility. 1. Evaluate 3 ϩ 4 и 2. 2. Press 2nd E [ NTRY](recalls previous expression to the home screen). 3. Cursor to 2, replace 2 with 5, and press ENTER . com/ info/larsonapplied. ”You use this principle to evaluate an algebraic expression by substituting numerical values for each of the variables in the expression.
8 Ϫ 17͒ ϩ 3 8. Ϫ3͑5 Ϫ 2͒ 9. ͑4 Ϫ 7͒͑Ϫ2͒ 10. Ϫ5͑Ϫ2 Ϫ 6͒ In Exercises 11–16, evaluate the expression for each value of x. ) Expression Values 11. 4x Ϫ 6 (a) x ϭ Ϫ1 (b) x ϭ 0 12. 5 Ϫ 3x (a) x ϭ Ϫ3 (b) x ϭ 2 13. x 2 Ϫ 3x ϩ 4 (a) x ϭ Ϫ2 (b) x ϭ 2 (a) x ϭ 0 (b) x ϭ 2 14. Ϫx3 15. x xϪ2 (a) x ϭ Ϫ2 (b) x ϭ 2 16. xϩ3 xϪ3 (a) x ϭ 3 (b) x ϭ Ϫ3 ϩ 2x Ϫ 1 Խ 10. Ϫ 8 Ϫ 10 In Exercises 23–38, identify the rule(s) of algebra illustrated by the statement. 23. 3 ϩ 4 ϭ 4 ϩ 3 24. x ϩ 9 ϭ 9 ϩ x 25. Ϫ15 ϩ 15 ϭ 0 26. ͑x ϩ 2͒ Ϫ ͑x ϩ 2͒ ϭ 0 27.
The principal cube root of 125 64 is Ί 64 ϭ 4 because ͑4 ͒ ϭ 43 ϭ 64 . 3 3 5 Ϫ32 ϭ Ϫ2 because ͑Ϫ2͒5 ϭ Ϫ32. c. The principal fifth root of Ϫ32 is Ί d. Ϫ Ί49 ϭ Ϫ7 because 72 ϭ 49. 4 e. Ί Ϫ81 is not a real number because there is no real number that can be raised to the fourth power to produce Ϫ81. ✓CHECKPOINT 1 3 Ϫ8. Evaluate ϪΊ ■ From Example 1, you can make the following generalizations about nth roots of a real number. 1. If a is a positive real number and n is a positive even integer, then a has exactn n ly two real nth roots, which are denoted by Ί a and Ϫ Ί a.
College algebra : with applications for business and the life sciences : Instructor's annotated edition by Larson