How many solutions does the following equation have ? -3x+9-2x=-12-5x−3x+9−2x=−12−5xminus , 3, x, plus, 9, minus, 2, x, equals, minus, 12, minus, 5, x Choose 1 Choose 1 (Choice A) A No solutions (Choice B) B Exactly one solution (Choice C) C Infinitely many solutions

Given f(t) = 282 - 53 +1, determine the function value f(2). do not include f(z) = in your answer

Arestaurant chef made 1 1/2 jars of pasta sauce. each serving of pasta requires 1/2 of a jar of sauce. how many servings of pasta will the chef be bale to prepare using the sauce?

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) = .