NAME_____________________ Period_____ DUE WEDNESDAY, JANUARY 20, 2016 FIVE POINTS OFF EACH DAY LATE. NO WORK – NO CREDIT, UNLESS MARKED WITH *. WORK MUST JUSTIFY YOUR ANSWER. ALGEBRA 2 6.0 CUMULATIVE REVIEW #5 SCORE _____/20 1. a) Use your graphing calculator to determine the linear regression equation that models the data below. Round to hundredths. b) Describe the correlation and explain your answer. c) Predict the number of accidental deaths from poison gases in 2000. (4 points) YEAR 1970 1975 1980 1985 1990 a*) Equation: Number of accidental deaths from poisonous gases 1620 1577 1242 1079 800 ____________________________ c*)_____________________ b*) _____________________________________________________________ 2. Solve 2x 2 +8 < 40 and graph the solution. 3. Determine the vertex of f(x) = 3x 2 - 24x + 48 4. Solve 5x 2 + 5x + 1 = 0 2. __________________ 3. _________________ 4. _________________ 5. a) *Graph f ( x) 1 2 x 4 5 2 Give the following characteristics. b) *Vertex _____________ c) *Axis of symmetry __________ d) x-intercept _______________ e) *y – intercepts _____________ # 7 - 9: You and your friend are playing tennis. Your friend lobs the ball high into the air, hitting it 3 feet above the court with an initial vertical velocity of 40 feet per second. You back up and prepare to hit an overhead smash to win the point. Use the model: h 16t 2 40t 3 Show work ALGEBRAICALLY and round answers to hundredths, if appropriate. 7. At what time t does the ball reach its maximum height above the court? 7. _______________ 8. What was the maximum height reached by the ball? 8. ______________ 9. If you plan to hit the smash when the ball falls to a height of 8 feet above the court how long do you have to prepare for the shot? 9. _____________