Find the volume of the solid s whose base is the triangular region in the x y-plane with vertices (0,0), (1,0), and (0,1) and such that cross-sections perpendicular to the x-axis are squares.

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30