Which statements are true about the expression 8 (a + 7)? Check all that apply.

1.To simplify, distribute a to 8 and to 7.

2.8(a) can be rewritten as 8a.

3.8 (a + 7) can be rewritten as 8 (a) + 8 (7).

4.8 (a + 7) can be rewritten as 8 (a) + (7).

5.An equivalent expression is 15a.

6.An equivalent expression is 8 a + 7

7.An equivalent expression is 8 a + 56

Write two subtraction equations that are equivalent to 5 + 12 = 17.

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?

What is the inverse of the function f(x) = 2x + 1?