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bija089 [108]
3 years ago
7

Anybody pls help me. Plus, working. Thank you ​

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

I hope my answer can help you.

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Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integ
Murrr4er [49]

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

3 0
3 years ago
Do these two have the correct answers?
Lapatulllka [165]
Yes, both of your answers are correct.

Since Death Valley is below sea level, the hiker increases altitude before stopping at 0 feet.

Percent of increase is given by the formula (amount of change)/(original amount) * 100.  Your work is accurate.
7 0
3 years ago
Will give brainliest if 2 people answer :)
zubka84 [21]

D) There is no association between commuting preferences and gender.

8 0
3 years ago
Read 2 more answers
If x is a positive integer, what is the length of the hypotenuse triangle C?
tresset_1 [31]

Answer:

c = 12.73

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = \sqrt{162}

c = 12.7279221

c = 12.73

Mark brainliest please!

3 0
2 years ago
Which of the following is the inverse of y equals 6^x?
rosijanka [135]

there's not enough information to solve

8 0
3 years ago
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