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.
Answer:
the feather colors and beak shapes of every bird observed in a park.
Step-by-step explanation:
you said it in your question
<span>x=y+2
2y=x-1
substitute </span>x=y+2 into 2y=x-1
2y=x-1
2y=y+2 -1
2y - y = 1
y = 1
<span>x=y+2
</span><span>x=1+2
x=3
answer
x = 3 and y = 1</span>
Answer: 29/3 into a mixed fraction would be 9 2/3
I hope I helped you. Have a great day!
Step-by-step explanation:
Simplify:
29/3 = 9 2/3
Is there supposed to be more to the question or?
