Which of the following is the equation of g(x) if the parent function is f(x) = x2 and a = 3, h = -5, and k = 6?
a. f(x) = 3(x - 5)2 + 6
b. f(x) = -3(x + 5)2 + 6
c. f(x) = 3(x + 5)2 + 6
d. f(x) = 3(x - 5)2 - 6

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

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %

Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken coup?