302 Chapter 3 Systems of Linear Equations and Inequalities Graphing Calculator Exercises For Exercises 57–62, use the matrix features on a graphing calculator to express each augmented matrix in reduced row echelon form. Compare your results to the solution you obtained in the indicated exercise. c 1 2 d 2 1 c 1 3 d 2 5 57. 58. 59. Compare with Exercise 41. Compare with Exercise 42. Compare with Exercise 43. 1 1 1 1 1 1 1 1 1 6 2 0 c 2 3 § 1 2 £ † § 60. 61. 62. Compare with Exercise 44. Group Activity 2 3 2 £1 3 8 3 1 14 † 11 1 2 Compare with Exercise 53. Compare with Exercise 54. ` 2 13 d c 1 3 4 9 ` 6 3 ` 3 4 ` 1 7 d y at2 bt c Creating a Quadratic Model of the Form Estimated time: 20 minutes Group Size: 3 Natalie Dalton was a player on the Daytona State College women’s fast-pitch softball team. She threw a ball 120 ft from right field to make a play at third base.A photographer used strobe photography to follow the path of the ball. The height of the ball (in ft) at 0.2-sec intervals was recorded in the table. Time (sec) t 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 Height (ft) y 5 11 16 19 21 22 21 19 16 12 6 1. Plot the points from the data. 2. Select three data points and label them (t1, y1), (t2, y2), and (t3, y3). (t1, y1) (t2, y2) (t3, y3) Height of Softball Versus Time 0.4 0.8 1.2 1.6 2 2.4 3. Substitute the values of t1 and y1 for t and y in the quadratic model y at2 bt c. The equation you are left with should only have the variables a, b, and c. Call this equation 1. Then repeat this step two more times, using the points (t2, y2) and (t3, y3).You should then be left with three equations involving a, b, and c only. Equation 1: Equation 2: Equation 3: 1t, y2 25 Height (ft) y t Time (sec) 20 15 10 5 0 0
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above