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horrorfan [7]
3 years ago
10

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.
2(A + B)
(A + B)2
A2 + B2
A2 − B2
Mathematics
1 answer:
Airida [17]3 years ago
4 0
The first one is 
left at 2(A + B)

The second one is
A^2 + 2AB + B^2 The expanded version is greater than A^2 + B^2 See below for why.

(A + B)^2 / [2(A + B) ] = (A + B)/2 which is what is  left over when (A + B)^2 is divided by the first one.
 
(A + B)^2 / (A^2 - B^2) = (A + B) * (A + B) / [(A + B) (A - B)] = (A + B) / (A - B) which is less than (A + B)/2 for (A - B)>2

The third one is just A^2 + B^2 which is smaller than the second one by an amount equal to 2AB. Since A and B are both > 0, 2 AB must be > 0



A^2 - B^2
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Solve using square root method
avanturin [10]
\frac{1}{2}(x+5)^2 + 9 = -15

\frac{(x+5)^2+18}{2} =  \frac{-30}{2}

Cancel out the denominators.

(x+5)² + 18 = -30

(x+5)² = -30 - 18

(x+5)² = -48

The equation is impossible, we have a negative number.

There isn't a number that squared gives a negative number (the square is always positive).

√(x+5)² = +/- √-48

x+5 = +/- √-48

IMPOSSIBLE

You can write the result in imaginary numbers

x+5=+/- 4i√3
6 0
3 years ago
Could someone help me please?
Strike441 [17]
I believe it would be B. linear because it would depend on how much of a decrease the monthly rate changes and based on that the five hundred would change per every dollar (new customers=500x+5000) x being $decrease in monthly rate
6 0
3 years ago
2. f(x) = 3ǀ2x - 1ǀ + x, what is the output for the input -4? <br> im stumped pls help
rewona [7]

Answer:

output = 23

Step-by-step explanation:

x = -4

f(x) = 3ǀ2x - 1ǀ + x

f(x) = 3ǀ2(-4) - 1ǀ + (-4)

f(x) = 3ǀ2(-4) - 1ǀ - 4

f(x) = 3ǀ-8 - 1ǀ - 4

f(x) = 3ǀ-9ǀ - 4

f(x) = 3(9) - 4

f(x) = 3(9) - 4

f(x) = 27 - 4

f(x) = 23

5 0
3 years ago
Which system is the solution of the graph
Svetradugi [14.3K]

Answer: A. y ≤ 4 and y > |x-1|

Step-by-step explanation:

y ≤ 4 is a horizontal line that is represented by a less than or equal to sign, so we know that the line has to be solid and not dotted, indicating that it includes the value of which the line passes through. Also, since it's less than, we know that it will include all values below the horizontal line.

y > |x-1| is an absolute value function that's represented by a greater than symbol, so that means it has to be dotted since it does not include |x-1|. Since it's greater than, it's going to include all values above the points of the function.

When graphing these two functions, you will get the graph as shown in the picture.

Hope this helps you

4 0
4 years ago
Which triangles are similar by the angle-angle criterion for similarity of triangles?
puteri [66]
<h2>Answer:</h2>

ΔABC ~ ΔADC by AA similarity.

4 0
3 years ago
Read 2 more answers
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