There were thrice as many beads in box X as box Y. After Ben transferred 80 beads from box X to box Y, there were 64 more beads in box X than box Y. How many beads were there in box X and box Y at first respectively?

Andy is making a design using ice cream sticks that are 4 and 1/2 in long he wants this long side of his designed to be no longer than 24 inches what is the greatest number of sticks that any can use on his long side of his design

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) = .

Does anyone know how to solve and graph this: 4 + | a + 2 | < 7the only part i don't get is the "4 +"