Given the equation 2(3x − 4) = 5x + 6, solve for the variable. explain each step and justify your process. charlie solved a similar equation below. is charlie's solution correct? explain why or why not. 4x − 3 = 2(x − 1) 4x − 3 = 2x + 2 2x − 3 = 2 2x = 6 x =3

What is the solution to the equation? k/6.4=8.7 2.3 5.568 15.1 55.68

What is the factored form of the following expressions? d^2 – 13d + 36

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) = .