By Revathi Narasimhan
In response to years of expertise instructing and writing supplemental fabrics for extra conventional precalculus texts, Reva Narasimhan takes a functions-focused method of educating and studying algebra and trigonometry suggestions. This new sequence builds up suitable recommendations utilizing capabilities as a unifying subject matter, repeating and increasing on connections to simple functions.Visualization and research inspire the functions-based technique, allowing scholars to higher hold the cloth to be used in later calculus classes.
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Extra resources for College algebra : building concepts and connections
S. 8 million. Find the per capita GDP (that is, the GDP per person) of Canada in 2004. 90. 5 inches. 54 centimeters in an inch, how long is the piece of wood in centimeters? Round your answer to the correct number of significant figures. 91. 3 feet long. If the area of the room is the product of its length and width, find the area of the room in square feet. Round your answer to the correct number of significant figures. 20 Chapter P ■ Algebra and Geometry Review 3x Ϫ2 ᭤Concepts This set of exercises will draw on the ideas presented in this section and your general math background.
9. log8 1 64 10. 2 11. 91 to four decimal places. 12. Sketch the graph of f (x) ln(x ϩ 2). Find all asymptotes and intercepts. In Exercises 13 and 14, write the expression as a sum or difference of logarithmic expressions. Eliminate exponents and radicals when possible. 3 13. log ͙ x 2y 4 14. ln(e2x 2y) 25. The depreciation rate of a laptop computer is about 40% per year. If a new laptop computer was purchased for $900, find a function that gives its value t years after purchase. 26. The magnitude of an earthquake is measured on the Richter scale using the formula R(I ) log ͑II ͒, where I 0 represents the actual intensity of the earthquake and I0 is a baseline intensity used for comparison.
4x 3y 2z 3 16x Ϫ2yz Ϫ1 36. 5 Ϫ2 Ϫ2 Ϫ4s t 12s3t 38. ͩ ͩ ͪ ͪ 9x 3y 4z 7 3x Ϫ4y 3z Ϫ1 2 3 5 Ϫ2 Ϫ3 27s z t 3z 2t In Exercises 77 – 82, calculate and round your answer to the correct number of significant figures. 77. 2 78. 0 In Exercises 39 – 50, write each number in scientific notation. 79. 5 39. 0051 40. 37 80. 01 41. 5600 42. 497 81. 2) 43. 0000567 44. 0000032 82. 500 45. 1,760,000 46. 5,341,200 47. 605 48. 31 49. 280,000,000 50. 62,000,000,000 ᭤Applications In this set of exercises, you will use exponents and scientific notation to study real-world problems.