Find minimum and maximum values of the objective function K(x, y)=5x+3y−12 if the feasible region is given by constraints 0≤x≤8, 5≤y≤14, 2x+y≤24.

Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120°. which equation should you solve to find the length of the third side of the triangle?

Franco wants to double the volume of the cone. what should he do?

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil