Answer:
x= -2
Step-by-step explanation:
MARK AS BRAINLIEST!!
Answer:
Are you sure the question is right?
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:
7.50 cheaper than buying individually
Step-by-step explanation:
13.50/6=2.25
3.50*6=21.00
21.00-13.50= 7.50
Answer:
<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>
Step-by-step explanation:
The ratio of pine trees to elm trees in a park is 7:11
Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.
It is also given that, there are 68 more elm trees as compared to the pine trees.
i.e 
Hence, the number of pine tree = 
and the number of elm tree = 
