The equations x + y = 6 and y = X- 6 are represented in the graph. x - 3 10 9 B -10 -0 -8 7 6 -5 4 -3 -2 -10 1 2 3 4 6 7 9 Determine the solution (s) to the system of equations. O (2. 4) and (-6. 0) O (2. 4) and (6, 0) O (-2. -4) and (-6, 0) O (-2. -4) and (6, 0) Question 10(Multiple Choice Worth 3 points) (02 02 MC) The elimination method was used to solve the following system of equations: x - 6y = 36 5x - 2y = -72 Which of the following is the correct y-coordinate of the solution? 018 O-18 O-9A railroad's track can be determined using the following graph. X -10 -9 8 -7 -6 5 4 -3 -2 -10 1 2 3 4 5 6 7 8 9 10 -1 -2 -10 Several different roadways are in the same region as the railroad. Part A: A highway's path can be found using the equation 2x + 3y = 18. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the highway, and explain completely. (5 points) Part B: A tumpike's route is determined by the equation y = - x2. Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary work. (5 points)An ice cube is freezing in such a way that the side length 5. in inches. is 30) = ins, where tis in hours. The surface area of the ice cube is the function 24(5) 2 632. PartA: Write an equation that gives the volume at t hours aer freezing begins. (2 points) Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points) Part C: After how many T'IOUIS Will the surface area equal 384 square inches? SHOW all necessary calculations. (4 points) The population P of a small town, measured in hundreds, is modeled by the inverse of the function P-1(f) = 20In(40t - 1200), where t is measured in years. Find the equation to model the population OP = 21 + 60 Op = 10.051 +30 Op = - In(0.05f) +30 Op= de' +30 800 Question 2(Multiple Choice Worth 2 points) (02.06 MC) Given the graph of A(x), determine the range of fi(x). -10 -9 - -3 -2 -1 2 3 OR O (-*, 1) U (1, " ) O (-30, 2) U (2, "= ) O (1, x)\fGiven the following table of values for a one-to-one function g"(x), determine the graph of g(x). 14 g x O -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -10 -0 8 -7 -6 -5 -4 -3 -2 -1 1 2/3 4 5 6 7 8 9 10 -1