Find the centroid of the thin plate bounded by the graphs of g(x) = x² and f(x) = -x + 30. Use the equations shown below with 8 = 1 and M= area of the region covered by the plate. b b 1 8 = S8Xx[t 8x[f(x) = g(x)] dx y=[²(x)-g² (x)] dx and y = The centroid of the thin plate is (x,y), where x = (Type integers or simplified fractions.) X =

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