To qualify for Gold status at Awesome Airlines, one must fly at least 9600 and less than 38400 miles each year. If Greg takes a 800-mile round-trip flight to visit his parents, how many times does Greg need to visit his parents each year to attain Gold status? Express your answer in interval notation​

How many lines can be drawn through points j and k? 0 1 2 3

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)