<span>Lennie used
associative law of addition.
Associative law of addition doesn’t matter how you group the given numbers to
add.
a + (b + c) = (a + b) + c
=> 19 + (11 + 37) or ( 19 + 11) + 37
=> 19 + (48) or (30) + 37
=> 67 or 67</span>
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Answer: 
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Given: 
Find: 
Solution: It looks like 2 is at the end of the parenthesis where the power would be instead of distributing the number. If so the following steps would be followed.
<u>Expand</u>
<u>Simplify</u>
Therefore, after following the provided information we are able to determine that the expanded form would be 9x^2 - 12x + 4.
Answer:
2n+7
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The inequality is
40m + 300 > 1,000
subtract 300 from both sides 40m > 700
divide both sides by 40 m > 700/40
(don't reverse the sign. 40 is (+)) m > 70/4
m > 17.5
The answer is C. Madison will not reach her goal in 17 months, but she will be there by the end of the 18th month.
Answer:
y = (2/3)x + 1/3
Step-by-step explanation:
Check that a single straight line will actually go through all four of these points. Going from (1, 1) to (4, 3), the 'rise' is 2 and the 'run' is 3, which would make the slope, m, equal rise/run = 2/3. Going from (4,3) to (10, 7), m = rise/run = 4/6 = 2/3 (again).
Let's find the slope-intercept form of the equation of this line: y = mx + b
Arbitrarily choose the point (1, 1). Here x = 1, y = 1 and m = 2/3. Then
we have
1 = (2/3)(1) + b, or 1 = 2/3 + b, so that b must be 1/3.
The equation in question is y = (2/3)x + 1/3
