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wlad13 [49]
2 years ago
12

Suppose A and B represent two different school populations where A > B and A and B must be greater than 0. Which of the follo

wing expressions is the largest? Explain why. Show all work necessary.
A: 2(A + B)
B: (A + B)2
C: A2 + B2
D: A2 − B2
Mathematics
1 answer:
Virty [35]2 years ago
6 0
<span>A+B)^2 is the largest.  It is A^2+2AB+B^2, which is clearly greater than the last two options.  To compare (A+B)^2 and 2(A+B), we remove one A+B so that we're just comparing A+B and 2.  As A+B must be at least 3 (as both must be positive integers, and one must be greater than the other, leading to a minimum value of A=2, B=1), A+B is greater than 2, and as a result, (A+B)^2 is always the largest.</span>
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jeka94

Answer:

24

Step-by-step explanation:

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3 0
2 years ago
Which statement best explains the value of 16 − (−3)?
amm1812

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

8 0
3 years ago
The difference between two integers is 13 and their sum is 87. What are the two integers
e-lub [12.9K]
The answer would be 50 and 37.

50-37 = 13

50+37 = 87
4 0
2 years ago
Read 2 more answers
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Answer:

y=x,y=12x+1

y=4x+4,y=6x

y=x+1,y=x+4

Step-by-step explanation:

3 0
2 years ago
Keshia is having a birthday party . Her mom gave her 30 dollars to purchase items for her birthday she bought 16 hats and 16 bag
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Answer:

$11.20 per hat.

and $5.60 per bag

Keisha has $13.20 left over

Step-by-step explanation:

First, I multiplied .70 by 16 and got 11.20 per hat

Then, I multiplied .35 by 16 and got 5.60 per bag

Lastly, I added 11.20 to 5.60 and got 16.80, and subtracted 16.80 from  30 and got 13.20.....

8 0
2 years ago
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