In how many ways can six persons be paired?

The functions f:x → 2x2 2 + 3x -7 and g:x →5x2 2 + 7x - 6 are defined on the set of real numbers, R. Find the values of x for which 3f(x) = g(x).

If log10(3x+1)+log104=log10(9x+2) , find the value of x

(3√6√5+√543√5 3 √ 6 √ 5 + √ 54 3 √ 5 )−1

A binary operation ∆ is defined on the set of real numbers R, by x∆y = x+y−xy4−−−−−−−−−√ , where x, yER. Find the value of 4∆3

Express 4π2 radians in degrees.

Consider the following statement: x: All wrestlers are strong y: Some wresters are not weightlifters. Which of the following is a valid conclusion?

Simplify 9∗3n+1−3n+23n+1−3n

A straight line makes intercepts of -3 and 2 on the x and y axes respectively. Find the equation of the line.