Select all of the quadratic expressions in vertex form. (x-1)2+10
(x-5)(x-4)
(x-5)2
O x2-4x+4
Ox(x - 4)

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

Combine the information in the problem and the chart using the average balance method to solve the problem.

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?