Write an expression that is equivalent to each original expression. Use the expressions in the box below. Not all expressions will be used.
7(6 + y)
6y + y
(XX 6) + y2
60%+7)
6y +7
( X 6) + (x7)
Equivalent Expression
Original Expression
(7 X 6) + (7 Xy)
y (6 + 7)
(6 Xy) + (6 X 7)
y(6 + y)

Mary had at least an 80% on her test write an inequality to represent this situation

When the solutions to each of the two equations below are graphed in the xy-coordinate plane, the graphs of the solutions intersect at two places. write the y-cordninates of the points of intersection in the boxes below in order from smallest to largest. y=2x y=x^2-3

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?