and 1 8 are endpoints of the diameter of a circle a What is the length of the

# And 1 8 are endpoints of the diameter of a circle a

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23. Points (–3, 2) and (1, 8) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work. (b) What is the center of the circle?(c) What is the equation of the circle? 24. Find the equation for a line which passes through the points (–1, 9) and (1, 7). Write the equation in slope-intercept form. Show work.25. Emily, a resident of Metropolis, pays Metropolis an annual tax of \$50 plus 1.6% of her annual income. If Emily paid \$1,298 in tax, what was Emily’s income? Show work. 26. Let f (x) = 4x2– 7and g(x) = x– 3(a) Find the composite function))((xgfringoperatorand simplify. Show work. (b) Find ()(1)fgringoperator. Show work. 27. Find the exact solutions and simplify as much as possible: 5x2+ 9 = 6x. Show work.28. Given the function 1( )32f xx=-, find a formula for the inverse function. Show work..
College Algebra MATH 107 Spring, 2012, S1.5 Page 11 of 11 29. The Travel Time bus company has determined that when xtourists are given a particular bus tour, the profit Pis given by P(x) = –0.25 x2+ 23.50x– 150 (a) What is the company’s profit if 30 tourists are given the tour? (b) How many tourists should be given the tour in order to maximize the company’s profit? Show work. 30. Solve: