Julie the jeweler has zero gold necklaces worth $150, nine silver necklaces valued at $75, fifteen plated necklaces valued at $70, and thirty-one beaded necklaces worth $15. what is the average value of a necklace at julie's shop?
express your answer rounded to the nearest cent.

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

Someone answer this asap for the function f(x) and g(x) are both quadratic functions. f(x) = x² + 2x + 5 g(x) = x² + 2x - 1 which statement best describes the graph of g(x) compared to the graph of f(x)? a. the graph of g(x) is the graph of f(x) shifted down 1 units. b. the graph of g(x) is the graph of f(x) shifted down 6 units. c. the graph of g(x) is the graph of f(x) shifted to the right 1 unit. d. the graph of g(x) is the graph of f(x) shifted tothe right 6 units.

Find a third-degree polynomial equation with rational coefficients that has roots -2 and 6+i