Katherine and Ivan had 96 marbles in all. Katherine lost 24 marbles to Ivan during a game. At the end of the game, Ivan had twice as many marbles as
Katherine. How many marbles did Ivan have at first?

What are the vertical asymptotes of the function f(x) =5x+5/x2 + x-2

Find the value of the cosine for angle a

Someone answer this asap rn 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)) =