In a geometric sequence a5 = 8 and a7 = 32. use the geometric mean to find the value of a6.

Using the completing-the-square method, find the vertex of the function f(x) = 2x2 − 8x + 6 and indicate whether it is a minimum or a maximum and at what point. maximum at (2, –2) minimum at (2, –2) maximum at (2, 6) minimum at (2, 6)

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

Ametal rod is 2/5 meters long. it will be cut into pieces that are each 1/30 meters long. how many pieces will be made from the rod?