True or False: If we have an integer primal solution with cost C and a fractional dual solution with cost at least C/2, the size of the vertex cover corresponding to the primal solution is at most twice the size of the smallest vertex cover. Briefly justify your answer

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0

At the beginning of a call to the cable company, a message tells customers, "after you finish talking to our customer service representative, you will be asked to take a five-question survey about the level of service you recieved. it would be appreciated if you could stay on the line to answer the survey questions." what type of sampling is the cable company using?

Mr. piper is driving peter, roddy, and scott home from school. all of them want to ride in the front seat. how can he make a fair decision about who rides in the front seat?