n one U. S. city, the quadratic function f(x) = 0.0036x2 - 0.42x + 36.98 models the median, oraverage, age, y, at which men were first married x years after 1900. In which year was this averageage at a minimum? (Round to the nearest year.) What was the average age at first marriage for thatyear? (Round to the nearest tenth.)

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

Someone answer asap for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Which value of m will create a system of parallel lines with no solution? y= mx - 6 8x - 4y = 12