Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 4 at x = −2 and a local minimum value of 0 at x = 1.

Determine the mean and variance of the random variable with the following probability mass function. f(x)=( 729divided by 91) (1 divided by 9) superscript x baseline comma x equals 1,2,3 round your answers to three decimal places (e.g. 98.765).

Liz is shipping a package to her friend.the maximum weight of a medium flat-rate box is 20 pounds,including the box which weighs 6 ounces.write and solve an inequality to describe the possible weight ,w, of the contents that liz will ship to her friend if she must use a medium flat-rate box.

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?