Fred bought 7 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 28 cards left. how many cards did fred start with ?

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?

Fast! find the length of cu. the triangles are similar. show your work.

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0