2. 1. The great runner could travel 10 miles at 5 mph and then run 6 miles at 2 mph. What should be her speed for the next 8 miles so that her overall average speed would be 4 mph? The data points in the table below relate the number of textbooks sold (S) to the price per textbook (P). Note that in the graph the horizontal and vertical scales are different. The position of the line that best fits this data has been estimated. Write the equation that expresses the number of textbooks sold as a function of the price per textbook (S=mP+ b). Price per book (in dollars) Number sold (in thousands) 12. 4 log x = 60 66 130 120 110 102 93 log, 16 - COS 73 79 84 94 99 102 76 68 Evaluate. Do not use a calculator. 3 4 3. Find the equation of the line that is equidistant from the points (5,2) and (0,-4). Write the equation in slope-intercept form. 4. A multiple choice quiz has 5 questions, and there are 4 possible choices to each question. How many different sets of answers are possible? 5. Write the quadratic equation with a lead coefficient of 1 whose roots are 3 and 2. 6. If f(x) = 2x - 3, find y 3- - 74 f(x+h)-f(x) h tan 8. Mark watched an ant crawl through an arc of 40 along the rim of his melon, which was cut in half. If the radius of the melon was 7 inches, how far did the ant crawl? 9. Find the coordinates of the point half way between (-2, 6) and (6,-4). Solve for x: 10. logg6 3+ log96 5 = log 96 (5 + x) = 1.2.3 110 119. The graph of the function f(x)== is centered at the origin as shown on the left below. The graph on the right is the same graph translated so that it is centered at (0, 1). Write the equation of the graph on the right. Textbooks sold in thousands -3-2-1 140 7. Evaluate: 120 13. 103 123 100 80 60 14. sin G 16. Use the point-slope form to find a general form of the equation of the line whose slope is -3 and that passes through the point (-1, 7). Then transform the equation to the double-intercept form. 1 81 56 72 88 104 120 Price in dollars 2 (-1) k k=2 11. log 20 (2x + 6) - log 20 2 = 17. The airplane flew m miles at r mph and arrived 2 hours late. How fast should the airplane have flown to have arrived on time? = 18. Tim can build 3 shelves in one day and Al can build 4 shelves in 2 days. If Al starts work one day before Tim, how long will they work together to build 22 shelves? Manage 15. sin Arctan 3) 10g 20 8 20. Given: AB bisects CAD AB bisects ZCBD Write a two-column proof to prove: AACBAADB C D B