Answer:
Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab, ![[ab]_K](https://tex.z-dn.net/?f=%20%5Bab%5D_K%20)
is equal to ![[ba]_K](https://tex.z-dn.net/?f=%20%5Bba%5D_K%20)
, thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.
Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus, ![[ab]_H = [ba]_H](https://tex.z-dn.net/?f=%20%5Bab%5D_H%20%3D%20%5Bba%5D_H%20)
. Since a and b were generic elements of H, then H/G is abelian.
Answer: 6.06 seconds
Step-by-step explanation:
This will not factor. The ball will hit the ground 6.06 seconds after thrown.
Answer:c. Y=(x-3)^2-2
Step-by-step explanation: y=(x-3)^2-2
Y=x^2-6x+7
Answer:
-8,-7
Step-by-step explanation:
I think
Answer:
$113.4
Step-by-step explanation:
If it is 40% off then it is 100-40 = 60% of original price.
So we do 180$ * .6 = $108 before tax.
To add on tax we do: 100 + 5 = 105% of that price.
So we do: $108 * 1.05 = $113.4 after discount and tax.
