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12. is each statement in parts (a) and (b) true or false? if it is false, give a counterexample. if true, use properties of real numbers to show the expressions are equivalent. a) for all real numbers , ∙ = ( + 0) ∙ .

b) for all real numbers ,( + 1) = + 1.

c) is the statement in part (a) or problem 4 false for every pair of real numbers a and b? explain.

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)) =