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The graph below shows the price of different numbers of mats at a store: a graph is shown. the values on the x axis are 0, 2, 4, 6, 8, 10. the values on the y axis are 0, 21, 42, 63, 84, and 105. points are shown on ordered pairs 0, 0 and 2, 21 and 4, 42 and 6, 63 and 8, 84. these points are connected by a line. the label on the x axis is number of mats. the title on the y axis is price in dollars. which equation can be used to determine p, the cost of b mats?

If olu is twice as old as funmi if the sum of their ages is 60 how old is olu

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .