As the manager of a restaurant, you are paid an annual salary plus a bonus of 5% of profits over $100,000. consider the two functions given by f(x) = x − 100,000 and g(x) = 0.05x. if x is greater than $100,000, which function represents the bonus?

8000 + 8800 + 8000 + 8 million + 80 trillion + another a katrillion equals

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) = .

Explain in a minimum of 2 sentences how to graph the equation of the absolute value function given a vertex of (-1,3) and a value of “a” equal to ½.