A railroad's track can be determined using the following graph. Part A: A highway's path can be found using the equation 2x + 3y = 21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the highway, and explain completely. Part B: A turnpike's route is determined by the equation y=(1)/(3)x^(2) Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary work.

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