2. Write an equivalent expression to each of the following: A: 5(w+3) – 2 B: 4(2n+3) + 9 C: 6(b+2) – 3b D: 5(2t + 6) – 4t E: 6(7x – x) F: z + z + z + z + z

How do businesses a country's economy? a. by investing in goods and services b. by increasing the unemployment rate c. by making profits

Rob spent 25%, percent more time on his research project than he had planned. he spent an extra h hours on the project. which of the following expressions could represent the number of hours rob actually spent on the project? two answers

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) = .