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Aleks04 [339]
2 years ago
8

Find the parity of the following if a and b have different parities. (5a - 3b)(a² + 5b) + 2

Mathematics
1 answer:
sp2606 [1]2 years ago
4 0

9514 1404 393

Answer:

  odd

Step-by-step explanation:

If 'a' and 'b' have different parity, the result has odd parity.

__

<u>Assume a=odd, b=even</u>

  (5·odd -3·even) = odd

  (odd^2 +5·even) = odd

  (odd)(odd) +2 = odd

__

<u>Assume a=even, b=odd</u>

  (5·even -3·odd) = odd

  (even^2 +5(odd)) - odd

  (odd)(odd) +2 = odd

_____

The attached verifies this with numbers.

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3 years ago
Can someone help me?
horrorfan [7]

Hi Eli!

--------------------------------------

We Know:

1 1/2 cups of flour.

3/4 cup of white sugar.

1/8 cup of brown sugar.

--------------------------------------

Part A:

I can't use a number line answering this question but you can create one with the steps I tell you.

First find common denominators:

1 1/2 = 3/2 = 12/8

3/4 = 6/8

1/8

Create a number that goes from 0/8 to 12/8, which means put a number with 12, 1/8 plots on it. Then plot 12/8, 6/8, and 1/8 in order in the number line.

Find out the total number of cups used:

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Simplify:

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Part A Answer: There are <u>2 3/8 cups</u> used all together.

--------------------------------------

Part B:

Part B Answer: The <u>3 cup bowl</u> would work perfectly.

Why: The reason you would want to choose the 3 cup bowl is because it fits all the ingredients perfectly, the 3 cup bowl is greater than the 2 3/8 cups they used. You can't use 2 cups because it is less than the total cups of ingredients. The 4 bowl you could use but it is too big.

--------------------------------------

Hope This Helps :)

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3 years ago
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Read 2 more answers
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