The owners of a circus are planning a new act. They want to have a trapeze artist catch another acrobat
in mid-air as the second performer comes into the main tent on a zip-line. If the path of the trapeze can
be modeled by the parabola y=-x? + 16 and the path of the zip-line can be modeled by y = 2x + 12, at
what point can the trapeze artist grab the second acrobat?

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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the probability that a bird is green (.30) is true

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