Write, expand, and simplify an expression that represents the volume of this prism

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0

20 solve 2(4 x + 3) < 5 x + 21. a) { x | x < 9} b) { x | x > -5} c) { x | x > -9} d) { x | x < 5}