3) Determine the equation of the quadratic function in standard form that passes through (4, 5) if its zeros are 2+Jand2-~/ {'5} g 4) The demand function for a new product is 1:00 = 4x + 42.5 where x is the quantity sold in thousands and p is the price in dollars. The company that manufactures the product is planning to buy a new machine for the plant. The cost function for new machine is C(x) = 4.1:: + 92.16. Determine the break-even quantities for Operating this new machine. U5} 5) If [(x) = Jr2 - 6x + 14 and g(x) = x2 - 20x k determine the value of k so that there is exactly one point of intersection between the two pnrabolas. {f6}