Let f f be the function defined by f ( x ) = cos ⁡ ( π 2 x ) . f(x)=cos( 2 π x). What is the average value of f f on the interval [ 1 3 , 7 3 ] [ 3 1 , 3 7 ] written in simplest form?

The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm

Solve the formula ax+ by = c for x.

Events a and b are independent. the probability of a occurring is 2/5. the probability of b occurring is 1/4. what is p(a and b)?