Juan used algebraic properties to make an equivalent expression. He listed the properties in the order that he used them.

Step
Property Used
1
Associative
2
Distributive
3
Addition

Which steps match the properties used?
15 + 7 n minus 8 + 3n = 7 n + 3 n + 15 minus 8 = (7 + 3) n + 15 minus 8 = 10 n + 7
12 n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9
15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9
12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.