A machine consists of two components, whose lifetimes have the joint density function 1 , 0, 0, 10 (, ) 50 0, otherwise. x y xy f xy   > > +< =    The machine operates until both components fail. Calculate the expected operational time of the machine.

Let f(x) = x+3 and g(x) = 1/x the graph of (fog)(x) is shown below what is the range of (fog)(x)?

Someone answer this asap for the length, in feet, of a rectangular rug is represented by the expression 5x² + 2x. the width, in feet, is represented by the expression 3x². which expression represents the perimeter, in feet, of the rug? a. 8x² + 2x b. 8x² + 4x c. 16x² + 2x d. 16x² + 4x

Find the value of x in the diagram below. select the best answer from the choices provided