Ore Calc Quiz Review

Which of the following systems of linear equations has a solution of (9,3)? 2x + 2y = 24 y = -2x + 21 2x + 2y = 24 -y = -2x + 21 2x - 2y = 24 -y= -2x + 21 2x - 2y = 24 y= -2x + 21Solve for y in the following system of equations: 12x - 3y = 45 -cty=-9 O 2 0 -6 0 -7 O -3\fThe following diagram represents a hub and spoke matrix for a transportation network. B A C DWhich of the following matrices represents direct travel in the network if "1" represents there is a direct connection between the cities A,B,C, and D and "0" represents there is no direct travel. To A B C D A 1 0 1 0 O From B 1 0 Q 1 0 0 D A B 0 1 O From B 1 0 1 0 C 0 0 1 1 O D Q A B A 1 0 0 0 O From B 0 1 1 1 H H D 1 A D A 0 O From B1 0 0 0 1 0 0 O DGiven the following matrix equation, which of the following is the correct matrix solution, A? 5 5 -2 1 A = 5.2 2 - 2.5 5 -7 6 3 15 -21 23.5 O A = -2.1 -3.3 -2.3 -6.3 -3.7 3.1 O A = 4 -6.2 2.3 12 -4 3.5 O A = 3.7 -5.9 2.1 11.1 4 O A = 3 -9A soccer league collected the following statistics over eighteen games. Win Tie Loss Bulldogs 14 3 Titans 7 11 0 Rovers 2 2 14 Each team earns 2 points for a win, 1 point for a tie, and 0 points for a loss. Which of the following matrix operations could be used to determine the points earned by each team after eighteen games?The owner of a small parking lot near a city festival represents the number and type of vehicles that are in the parking lot on a particular Thursday , Friday, and Saturday, using the matrix below. Car Bus 105 12 A: Day of Week F 143 17 S 202 33 The owner makes a second matrix to indicate the parking cost of $10 per car and $35 per bus. Parking Cost B: Type of Vehicle Car 10 Bus 35 Use matrix multiplication to calculate the revenue for each of the three days. Which of the following statements best describes the result of this multiplication? O The result is the revenue matrix [R] = [4500 2170 ], that shows the revenue generated by cars and busses over the three days. 2034 O The result is the revenue matrix [R] = 1488 , that shows the revenue generated by cars and busses over each 3222 of the three days. O You cannot multiply A by B, because a 2 x 3 matrix cannot be multiplied by a 1 x 2 matrix. 1470 O The result is the revenue matrix [R] = 2025 , that shows the revenue generated by cars and busses over each 3175 of the three days.Kelly and Stuart bought potato chips for a party at the same store. Kelly spent $14.15 for 3 large bags of Thunder Crunch and 4 small bags of Salt and Vinegar. Stuart bought 2 bags of Thunder Crunch and 5 small bags of Salt and Vinegar for $11.65. What was the cost of a bag of Salt and Vinegar chips? (Hint: the equation for Kelly's purchase is: 37 + 4S = 14.15 First determine the equation for Stuart's purchases, and then solve the system of equations using matrices.) O $0.95 for a bag of Salt and Vinegar chips O $1.10 for a bag of Salt and Vinegar chips O $0.98 for a bag of Salt and Vinegar chips O $1.06 for a bag of Salt and Vinegar chipsDetermine the resulting vector when a = (-2, 4) is rotated 60 clockwise and increased in size by a multiple of 3. O (6 /3, 3V/3) O (-3+63, 3V/3+6) O (2V/3, V3) O (-1+2V3, 2+