Find the coefficient of (x^{3}) in the expansion of ([frac{1}{3}(2 + x)]^{6}).
Find the coefficient of (x^{3}) in the expansion of ([frac{1}{3}(2 + x)]^{6}). A. (frac{135}{729}) B. (frac{149}{729}) C. (frac{152}{729})…
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Simplify (frac{^{n}P_{5}}{^{n}C_{5}}).
Simplify (frac{^{n}P_{5}}{^{n}C_{5}}). A. 80 B. 90 C. 110 D. 120 Correct Answer: Option D Explanation (frac{^{n}P_{5}}{^{n}C_{5}} = frac{n!}{(n-5)!} ÷…
Solve for x in the equation (5^{x} times 5^{x + 1} = 25).
Solve for x in the equation (5^{x} times 5^{x + 1} = 25). A. (-2) B. (frac{-1}{2}) C.…
If (log_{10}y + 3log_{10}x geq log_{10}x), express y in terms of x.
If (log_{10}y + 3log_{10}x geq log_{10}x), express y in terms of x. A. (y geq frac{1}{x}) B. (y…
The remainder when (x^{3} – 2x + m) is divided by (x – 1) is…
The remainder when (x^{3} – 2x + m) is divided by (x – 1) is equal to the…
If (2t – 3s)(t – s) = 0, find (frac{t}{s}).
If (2t – 3s)(t – s) = 0, find (frac{t}{s}). A. (frac{3}{2}) or (1) B. (frac{3}{2}) or (-1)…
If the solution set of (x^{2} + kx – 5 = 0) is (-1, 5),…
If the solution set of (x^{2} + kx – 5 = 0) is (-1, 5), find the value…
Factorize completely: (x^{2} + x^{2}y + 3x – 10y + 3xy – 10).
Factorize completely: (x^{2} + x^{2}y + 3x – 10y + 3xy – 10). A. (x + 2)(x +…
If (y = 4x – 1), list the range of the domain ({-2 leq x…
If (y = 4x – 1), list the range of the domain ({-2 leq x leq 2}), where…
If (f(x) = frac{4}{x} – 1, x neq 0), find (f^{-1}(7)).
If (f(x) = frac{4}{x} – 1, x neq 0), find (f^{-1}(7)). A. (frac{-3}{7}) B. (0) C. (frac{1}{2}) D.…