Problems 7-12 simplify each expression,
7.
(4+ 5)²
8.
(3t2 + 1)(2t– 9)
14.2 2(0)5 15
1602 +40 + 25
9.
-7y(2y3 - 3y - 9)
10.
(4x - 7) + (x + 3)2

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?

Agarden consists of an apple tree, a pear tree, cauliflowers, and heads of cabbage. there are 40 vegetables in the garden. 24 of them are cauliflowers. what is the ratio of the number of cauliflowers to the number of heads of cabbage?

Find the slope of the line passing through a pair of points