Let s ⊆ r be nonempty. prove that if a number u in r has the properties: (i) for every n ∈ n the number u − 1/n is not an upper bound of s, and (ii) for every number n ∈ n the number u + 1/n is an upper bound of s, then u = sup s.

Factor p 2 + 18p + 32. (p+ 4)(p + 8) (p + 2)p+ 16) (p + 16)2

On a piece of paper, graph . then determine which answer choice matches the graph you drew

Two blends of tea are mixed to make a blend that will be sold at the fair. black tea sells for $2.20 per pound and orange pekoe tea sells for $3.00 per pound. how much of each should be used to obtain a 4lb blend selling for $2.50 per pound?