Mike is an artist and sells his work at various art fairs. he only paints fish and squirrels. fish paintings take him 12 hours to paint and another 6 hours to build a frame for it. squirrels paintings take him 6 hours to paint and 6 hours to build a frame. mike can only paint for 36 hours a week and build frames for 24 hours a week. if a fish painting sells for $50 and each squirrel painting sells for $35, how many of each painting should he make to maximize earnings?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Consider the polynomials given below. p(x) = x4 + 3x3 + 2x2 – x + 2 q(x) = (x3 + 2x2 + 3)(x2 – 2) determine the operation that results in the simplified expression below. 35 + x4 – 573 - 3x2 + x - 8 a. p+q b. pq c.q-p d. p-q

Find the value of x in the diagram below. select the best answer from the choices provided