A binary operation ∆ is defined on the set of real numbers R, by x∆y = \(\sqrt{x+y - \frac{xy}{4}}\), where x, yER. Find the value of 4∆3
(\(\frac{3√6}{√5} + \frac{√54}{3√5}\))\(^{-1}\)
If \(log_{10}(3x+1) + log_{10}4 = log_{10}(9x+2)\), find the value of x
Simplify \(\frac{9*3^{n+1} - 3^{n+2}}{3^{n+1} - 3^{n}}\)
Consider the following statement:
x: All wrestlers are strong
y: Some wresters are not weightlifters.
Which of the following is a valid conclusion?
