Use the system of inequalities y ≥ 0, x ≥ 0, and y ≤ –2x + 4. Find the coordinates of the vertices of the feasible region.

(0, 0), (–2, 0), (0, –4)

(0, 0), (–2, 0), (0, –4)

(0, 0), (2, 0), (0, 4)

(0, 0), (2, 0), (0, 4)

(0, 0), (4, 0), (0, 2)

(0, 0), (4, 0), (0, 2)

(0, 0), (–4, 0), (0, 2)

Come up with a new linear function that has a slope that falls in the range 10 m − < < . choose two different initial values. for this new linear function, what happens to the function’s values after many iterations? are the function’s values getting close to a particular number in each case?

Questions 7-8. use the following table to answer. year 2006 2007 2008 2009 2010 2011 2012 2013 cpi 201.6 207.342 215.303 214.537 218.056 224.939 229.594 232.957 7. suppose you bought a house in 2006 for $120,000. use the table above to calculate the 2013 value adjusted for inflation. (round to the nearest whole number) 8. suppose you bought a house in 2013 for $90,000. use the table above to calculate the 2006 value adjusted for inflation. (round to the nearest whole number)

Prove that 16^4-2^13-4^5 is divisible by 11.