Determine the number of real solutions for each of the given equations. (one solution, two solutions, no real soutions) Equation Number of Solutions
y = -3x2 + x + 12
y = 2x2 - 6x + 5
y = x2 + 7x - 11
y = -x2 - 8x - 16

(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.)