All changes saved 2. The following equations are given: Equation #1: 3x + z + y = 8 Equation #2: 5y - x = -7 Equation #3: 3z + 2x - 2y = 15 Equation #4: 4x + 5y - 2z = -3 a. Is it possible to solve for any of the variables using only Equation #1 and Equation #2? Explain your answer. If possible, solve for the variables using only equations #1 and #2. b. Is it possible to solve for any of the variables using only Equation #1, Equation #2, and Equation #3? Explain your answer. If possible, solve for the variables using only equations #1, #2, and #3. c. If you found solutions in part b, do these solutions also hold for Equation #4? B U Font Family AA A +,/ PREVIOUS 2 of 7 NEXT SAVE & EAll changes saved 3. You are responsible to provide tennis balls for a tournament. You know that a ball bounces like new when it is dropped and it bounces 82% of the previous height. Because of budget restriction for the tournament you need to test some used balls to make sure they bounce like new tennis balls. You drop a ball and it bounces multiple times; each bounce reaches 82% the height of the previous height. a. Is this sequence geometric or arithmetic? Explain. b. What are the heights of the first four bounces of a new ball if it is dropped from a height of 10 feet? c. What is an equation that will find the nth term of this sequence? d. Does this sequence converge? Explain. e. What is the sum of the heights of the bounces for the first ten bounces of a new ball if it is dropped from 10 feet? B i U Font Family - AA A PREVIOUS 3 of 7 NEXT SAVE &All changes saved 4. Look at the following table then answer the questions below. Equation Equation Equation Equation Equation Equation 1 2 3 4 5 6 0 0 10 4 2 12 12.31 1 0.06 9.5 3.75 2.06 11.91 10.45 4 1 8 2.56 2.25 10.55 6.81 5 1.56 7.5 1.95 2.31 9.73 6.05 7 3.06 6.5 0.23 2.44 7.55 4.95 9 5.06 5.5 2.45 2.56 4.64 4.25 106.25 5 4.31 2.66 2.91 4 117.56 4.5 6.64 2.69 1 3.8 129 4 9.55 2.75 -1.09 3.64 15 14.06 2.5 23.42 2.94 8.45 3.33 17 18.06 1.5 39.41 3.06 -14.27 3.21 20 25 0 81.74 3.25 -24.36 3.11 a. Which of the functions in the table appear to be exponential? b. What reasoning would you use to justify your answer? c. Which function(s) would most likely model bacterial growth in a lab culture? Justify your reasoning. d. Which values would most likely model a tub collecting water from a leaky faucet? Justify your reasoning. PREVIOUS 4 of 7 NEXT SAVE & E