At Gatech there are 30 students and 4 awards in chemistry, english, math and physics. i) Assume that a student can have at most one award. How many possible selections for the 4 awards? ii) Assume now that a student can have at most two awards. How many possible selections for the 4 awards ? iii) Assume now that a student can have at most 3 awards. How many possible selections are the 4 awards?

Given f(x) = 2x^2- 5x+1, determine the function value f(2). do not f(x) = in your answer

Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)