Tony Soprano has a collection of five-dollar and one-dollar bilis in his shirt pocket. He has 100 bills in all worth a total of $420. Which of the following systems of equations could be used to completely determine how many of each type of bill he has? A. x+y=100 5x + y = 420
B. 5x + y = 420 100x + 420y = 5
C. x+y=100 x+y = 420 5x + y = 100

Amountain climber starts a climb at an elevation of 453 feet above sea level at his first rest stop he has climbed 162 feet and by his second rest stop he has climbed another 207 feet its getting late in the day so the climber starts his way down if the climber desends 285 feet how much does he need to ascend or descend to return to the original starting point

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 the degree 3 taylor polynomial p3(x) of function f(x)=(-3x+15)^(3/2) at a=2