(a) what can you say about a solution of the equation y' = - (1/4)y2 just by looking at the differential equation? 1. the function y must be decreasing (or equal to 0) on any interval on which it is defined. 2. the function y must be increasing (or equal to 0) on any interval on which it is defined. (b) verify that all members of the family y = 4/(x + c) are solutions of the equation in part (a). (c) find a solution of the initial-value problem. 3√12x+ 0.008 12

2/3(-6y+9x) expand each expression using the distributive property

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.

If you were constructing a triangular frame, and you had wood in the length of 4 inches, 4 inches, and 7 inches, would it make a triangle? would you be able to create a frame from these pieces of wood?