A recipe calls for 1 teaspoon of sugar to cups of flour two eggs in 4 cups of milk directions say make some milk if our first right the unit rate as cups of milk per cup of flour

Write an algebraic expression to match each statement a. four less than 8 times a number b. twice the difference of a number and six c. nine from a number squared

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) = .

Apackage of five erasers cost 0. $.39 at this rate how many how much would 60 erasers cost in dollars and cents