Which system will have an infinite number of solutions?
A. 3y = 4x + 1
y=-4/3+ 1
B. 4x +3y=3
3y = 4x + 3
C. 4x + 3y = 3
y = -4/3x + 1
D. 4x + 3y = 3
8x + 6y = 3

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

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) = .

Corresponding angles are a. always b. sometimes c. never congruent