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.
The foreign investment is problematic for the economy of a transitioning country because it provides profit to the foreign investors only. They use cheap labor of the developing country. Moreover, the local producers and investors are directly harmed. The major profits are going in the pockets of the other nation's investors. This also causes inflation in the country.
Answer:
216 in²
Step-by-step explanation:
a = bh
a = 18 * 12
a = 216
(-7, 3) would’ve been loads easier with an attachment ^-^
Answer:
4/5
Step-by-step explanation:
Of the hats in Deb's Hat Shop, 1/2 are purple and another 3/10 are red. What fraction of the hats are either purple or red?
The Fraction of the hats that are either purple or red are:
Purple + Red
= 1/2 + 3/10
Lowest Common Denominator is 10
= 5 + 3/10
= 8/10
= 4/5
Therefore, the fraction of the hats tha are either purple or red is 4/5
