Graph the function, g(x) = -3x+2 1, using transformations. This should be done using FOUR graphs (each of which will be worth 1 point). You should find points to make the FIRST graph and then all others should be drawn by moving points using the appropriate transformation. Do not "plug in to find new points for graphs 2, 3, and 4! Also, write the domain and range of g(x) (the last graph) in interval notation (6 points). Jasmine builds tool sheds. She uses 10 sheets of drywall and 15 studs for a small shed and 15 sheets of drywall and 45 studs for a large shed. She has available 60 sheets of dry wall and 135 studs. If Jasmine makes $390 profit on a small shed and $520 profit on a large shed, how many of each type of building should she build to maximize her profit? On June 24, 1948, the former Soviet Union blocked all land and water routes through East Germany to Berlin. A gigantic airlift was organized using American and British planes to bring food, clothing, and other supplies to the more than 2 million people in West Berlin. The cargo capacity was 30,000 cubic feet for an American Plane and 20,000 cubic feet for a British plane. The break the Soviet blockade, the Western Allies had to maximize cargo capacity but were subject to the following restrictions: . No more than 44 planes could be used. The larger Americans planes required 16 personnel per flight; double that of the requirement for the British planes. The total number of personnel available could not exceed 512. The cost of an American flight was $9000 and the cost of a British flight was $5000. Total weekly costs could not exceed $300,000. Find the number of American and British planes that were used to maximize cargo capacity. In 1978, a ruling by the Civil Aeronautics Board allowed Federal Express to purchase larger aircraft. Federal Express's options included Boeing 727s that United Airlines was retiring and the French-built Dassault Fanjet Falcon 20. To aid in their decision, executives at Federal Express analyzed the following data: Operating cost was $1400 per hour for the Boeing 727 and $500 per hour for the Falcon 20 Payload was 42,000 pounds for the Boeing 727 and 6000 pounds for the Falcon 20 . Federal Express was faced with the following constraints: . Hourly operating cost was limited to $35,000. Total payload had to be at least 672,000 pounds. Only twenty 727s were available. . Given the constraints, how many of each kind of aircraft should Federal Express have purchased to maximize the number of aircraft