The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method. y= -x^2+6x-8, y=0; about the y axis

Michelle had a birthday party. she bought a bag of candy with 96 starbursts, 72 hershey's, and 68 reese's. she wants to use all the candy she bought to make goody bags with the same amount of starbursts, hershey's and reese's in each bag. what is the largest number of bags she can make?

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Solve 3x-18=2y and 5x-6y=14 by elimination or substitution . show all !