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The equation of a circle is (3x^{2} + 3y^{2} + 6x – 12y + 6 = 0). Find…

(f(x) = p + qx), where p and q are constants. If f(1) = 7 and f(5) =…

A function is defined by (f(x) = frac{3x + 1}{x^{2} – 1}, x neq pm 1). Find f(-3).…

Simplify (sqrt[3]{frac{8}{27}} – (frac{4}{9})^{-frac{1}{2}}) A. (frac{-5}{6}) B. (-frac{4}{27}) C. (0) D. (frac{2}{9}) Correct Answer: Option A Explanation (sqrt[3]{frac{8}{27}}…

Solve (3x^{2} + 4x + 1 > 0) A. (x B. (x > -1, x > -frac{1}{3}) C.…

Evaluate (cos (frac{pi}{2} + frac{pi}{3})) A. (frac{-2}{sqrt{3}}) B. (frac{-sqrt{3}}{2}) C. (frac{sqrt{3}}{4}) D. (frac{4}{sqrt{3}}) Correct Answer: Option B Explanation…

If (log_{9} 3 + 2x = 1), find x. A. (frac{-1}{2}) B. (frac{-1}{4}) C. (frac{1}{4}) D. (frac{1}{2}) Correct…

Find the remainder when (5x^{3} + 2x^{2} – 7x – 5) is divided by (x – 2). A.…

A binary operation * is defined on the set of real numbers R, by a* b = -1.…

Express 75° in radians, leaving your answer in terms of (pi). A. (frac{5pi}{12}) B. (frac{3pi}{4}) C. (frac{5pi}{6}) D.…