The NCAA basketball tournament begins with 64 teams, and after each round, half the teams are eliminated. The number of remaining teams t(n) is an exponential function of the number n of rounds played. Identify a and b.

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.

The function p(x) = –2(x – 9)2 + 100 is used to determine the profit on t-shirts sold for x dollars. what would the profit from sales be if the price of the t-shirts were $15 apiece?

The function c(n) below relates the number of bushels of apples picked at a pick-your-own orchard to the final cost for the apples. it takes as input the number of bushels of apples picked after paying an entry fee to an orchard and returns as output and returns as output the cost of the apples (in dollars)c(n) = 15n + 30which equation below represents the inverse function n(c), which takes the cost of the apples as input and returns the number of bushels picked as output