The roots of the equation (2x^{2} + kx + 5 = 0) are (alpha) and…
The roots of the equation (2x^{2} + kx + 5 = 0) are (alpha) and (beta), where k…
Find the equation of the line passing through (0, -1) and parallel to the y-…
Find the equation of the line passing through (0, -1) and parallel to the y- axis. A. y…
Find the coefficient of (x^{4}) in the binomial expansion of ((1 – 2x)^{6}).
Find the coefficient of (x^{4}) in the binomial expansion of ((1 – 2x)^{6}). A. 320 B. 240 C.…
If (f(x) = frac{1}{2 – x}, x neq 2), find (f^{-1}(-frac{1}{2})).
If (f(x) = frac{1}{2 – x}, x neq 2), find (f^{-1}(-frac{1}{2})). A. 4 B. 0 C. -2 D.…
Given that ((sqrt{3} – 5sqrt{2})(sqrt{3} + sqrt{2}) = p + qsqrt{6}), find q.
Given that ((sqrt{3} – 5sqrt{2})(sqrt{3} + sqrt{2}) = p + qsqrt{6}), find q. A. 4 B. -4 C.…
Given that (frac{1}{8^{2y – 3y}} = 2^{y + 2}).
Given that (frac{1}{8^{2y – 3y}} = 2^{y + 2}). A. (frac{1}{5}) B. (frac{7}{8}) C. 1 D. (1frac{1}{5}) Correct…
Two functions f and g are defined by (f : x to 3x – 1)…
Two functions f and g are defined by (f : x to 3x – 1) and (g :…
If ((x – 3)) is a factor of (2x^{3} + 3x^{2} – 17x – 30),…
If ((x – 3)) is a factor of (2x^{3} + 3x^{2} – 17x – 30), find the remaining…
A binary operation ♦ is defined on the set R, of real numbers by (a ♦ b…
A binary operation ♦ is defined on the set R, of real numbers by (a ♦ b = frac{ab}{4}). Find…
Simplify (sqrt{(frac{-1}{64})^{frac{-2}{3}}}).
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}})…