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1. Both x and y are positive real numbers, and the point (x,y) lies on or above both of the lines having equations 2x+5y = 10 and 3x+4y = 12. What is the least possible value of 8x+13y?

2. The graphs of y=|x| and y=-x^2-3x-2 are drawn. For every x, a vertical segment connecting these two graphs can be drawn as well. Find the smallest possible length of one of these vertical segments.

 Mar 18, 2020

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