A computer is printing out subsets of a 4 element set (possibly including the empty set). (a) At least how many sets must be printed to be sure of having at least 4 identical subsets on the list

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

The price of a dozen eggs was $1.63. suppose the price increases m dollars per dozen and then the price decreases $0.12 per dozen. which expression represents the current price of eggs after the two price changes?

Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.