The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater
integer, which system of inequalities could represent the values of a and b?
O
Al
a + b 30
a+ b 2 30
a+bs 30
a+bs 30
b2a + 10
bsa-10
b2a + 10
bsa-10
VI
VI

Which system of linear inequalities is represented by the graph?

Which functions shave a maximum and are transformed to the left and down of the parent function ,check all that apply f(x) = x2? p(x) =14 (x+7)2 + 1

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?