need help please and please dont give me a file just tell me what the answer is and how u got it plzz

What is the vertex form of f(x) = x2 + 6x + 3

Divide. write in simplest form 41/6 divided by 10

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)