Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8
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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) = .

Luis has a cooler filled with cans of soda.for every 5 cans of coke there are 3 cans of sprite.if there are 25 cans of coke, how mant cans of sprite are there?

What is the value of x in the equation 3x4y65, when y=4?