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Two functions f and g are defined by (f : x to 3x – 1) and (g :…

A binary operation ♦ is defined on the set R, of real numbers by (a ♦ b = frac{ab}{4}). Find…

If ((x – 3)) is a factor of (2x^{3} + 3x^{2} – 17x – 30), find the remaining…

Simplify (sqrt{(frac{-1}{64})^{frac{-2}{3}}}). A. -4 B. (-frac{1}{4}) C. (frac{1}{8}) D. 4 Correct Answer: Option D Explanation ((frac{-1}{64})^{frac{-2}{3}} = -64^{frac{2}{3}})…

(P = {x : 1 leq x leq 6}) and (Q = {x : 2 < x <…

Solve the inequality (2x^{2} + 5x – 3 geq 0). A. (x leq -3) or (x geq frac{1}{2})…

A force of 30 N acts at an angle of 60° on a body of mass 6 kg…

Three forces (F_{1} = (8 N, 300°), F_{2} = (6 N, 090°)) and (F_{3} = (4 N, 180°))…

Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9.…

A group of 5 boys and 4 girls is to be chosen from a class of 8 boys…