By Thomas W. Hungerford, Douglas J. Shaw
Revered for its targeted counsel in utilizing know-how, modern PRECALCULUS: A GRAPHING method, 5th version, is written from the floor as much as be used with graphing calculators that you could be be utilizing on your precalculus direction. you are going to savour that the textual content has additionally lengthy been famous for its cautious, thorough motives and its presentation of arithmetic in a casual but mathematically exact demeanour. The authors additionally emphasize the all-important "why?" of mathematics--which is addressed in either the exposition and within the workout units by way of targeting algebraic, graphical, and numerical views.
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Extra info for Contemporary Precalculus: A Graphing Approach
15. 2/3 16. 7/16 17. 1/64 18. 1/22 19. 3p/2 20. p Ϫ 3 21. 625 22. 16 23. 75000 и и и are decimal expansions of 3/4. [Every terminating decimal can also be expressed as a decimal ending in repeated 9’s. ] Finding remainders with a calculator 24. If you use long division to divide 369 by 7, you obtain: Divisor Ǟ 52 7 369 35 19 14 5 ǟ Quotient ǟ Dividend 25. 1/17 [Hint: The first part of dividing 1 by 17 involves working this division problem: 1,000,000 Ϭ 17. The method of Exercise 24 shows that the quotient is 58,823 and the remainder is 9.
5x Ϫ 2y ϭ 1 10. V ϭ pb2c 1 r 1 s for x for c 1 t 12. ᎏᎏ ϭ ᎏᎏ ϩ ᎏᎏ for r In Exercises 13–22, solve the equation by factoring. 13. x 2 Ϫ 8x ϩ 15 ϭ 0 14. x 2 Ϫ 5x ϩ 6 ϭ 0 15. x 2 Ϫ 5x ϭ 14 16. x 2 ϩ x ϭ 20 17. 2y 2 ϩ 5y Ϫ 3 ϭ 0 18. 3t 2 Ϫ t Ϫ 2 ϭ 0 19. 4t 2 ϩ 9t ϩ 2 ϭ 0 20. 9t 2 ϩ 2 ϭ 11t 21. 3u2 Ϫ4u ϭ 4 22. 5x 2 ϩ 26x ϭ Ϫ5 In Exercises 23–26, solve the equation by completing the square. 23. x 2 Ϫ 2x ϭ 12 24. x 2 Ϫ 4x Ϫ 30 ϭ 0 25. x 2 Ϫ x Ϫ 1 ϭ 0 26. x 2 ϩ 3x Ϫ 2 ϭ 0 33. x 2 Ϫ 4x ϩ 1 ϭ 0 34. x 2 ϩ 2x Ϫ 1 ϭ 0 35.
A In Exercises 1–12, find all real solutions of each equation. 1. Ȋ2x ϩ 3Ȋ ϭ 9 2. Ȋ3x Ϫ 5Ȋ ϭ 7 3. Ȋ6x Ϫ 9Ȋ ϭ 0 4. Ȋ4x Ϫ 5Ȋ ϭ Ϫ9 5. Ȋ2x ϩ 3Ȋ ϭ 4x Ϫ 1 6. Ȋ3x Ϫ 2Ȋ ϭ 5x ϩ 4 7. Ȋx Ϫ 3Ȋ ϭ x 8. Ȋ2x Ϫ1Ȋ ϭ 2x ϩ 1 9. Ȋx ϩ 4x Ϫ 1Ȋ ϭ 4 2 11. B 10. Ȋx ϩ 2x Ϫ 9Ȋ ϭ 6 2 12. Ȋ12x 2 ϩ 5x Ϫ 7Ȋ ϭ 4 SPECIAL TOPICS Section Objectives 13. In statistical quality control, one needs to find the propor- tion of the product that is not acceptable. The upper and lower control limits are found by solving the following equation (in which ෆp is the mean percent defective and n is the sample size) for CL.