Using the properties of equality to solve the equation -2b + 7 = -13, you would
add 13 and then divide by -2
add 13 and then add 2
subtract 7 and then add 2
subtract 7 and then divide by -2

Harry’s soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. if y represents the number of nonconference games and x represents the number of conference games, which equation best models this proportional relationship? a)y=2/3 x b)y=3/2 x c)y = 2x d)y = 6x

If f(x) = x+8 and g(x) = 4x- 3, find (f+g)(x)

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) = .