Michelle has a bag with marbles in it. some of the marbles are blue, some are green, and some are yellow. she draws one marble at random, records the color, and returns it to the bag.

here is her data after 500 trials:

blue green yellow

120 119 261

0.5

0.333

0.125

0.25

The table respent two linear functions the equation respented by the first tables is given

Which graph represents the function g(x) = |x + 4| + 2?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?