4. The number of houses in a town has been growing according to the recursive rule Pn=Pn-1 + 30, with initial population P0=200. a. Calculate P1 and P2 b. Find an explicit formula for Pn c. Use your formula to predict the number of houses in 10 years d. When will the number of houses reach 400 houses?

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

The weight v of an object on venus varies directly with its weight e on earth. a person weighing 120 lb on earth would weigh 106 lb on venus. how much would a person weighing 150 lb on earth weigh on venus?

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.