Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-3(-5(1cos(3πx + 2) + 3)^2 + 3(1cos(3πx + 2) + 3) + 1) + 1)/(-1(-5(1cos(3πx + 2) + 3)^2 + 3(1cos(3πx + 2) + 3) + 1) - 3) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}
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