Max and maggie have to clean the house. it takes max 12 hours to clean the house, while maggie can complete the task in 4 hours. their sister says that it will take 3 hours to complete if they work together. explain each step in solving this equation and determine if the sister is correct or not.

Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

Find the center and the radius of the circle with the equation: x^2-2x+y^2+4y+1=0?

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15