Perform the following operations and prove closure. show your work.
1. x/x+3 +x+2/x+5
2. x+4/x^2+5x+6• x+3/x^2−16
3. 2/x2−9 − 3x/x^2−5x+6
4. x+4/x^2−5x+6 ÷ x^2−16/x+3
5. compare and contrast division of integers to division of rational expressions.

Florence price's brownies and more sells all types of cookies and pastries. on tuesdays, they markdown all brownies 75% to a sale of $1.50 a dozen. find the selling price and the markdown of a dozen brownies.

What is the x-intercept and y-intercept of the equation 2x+1. 2o

(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.)