Answer:
x = -6
Step-by-step explanation:
Distribute the 2 into the brackets:
2x + 10 = -2
leave the 2x alone on one side:
2x = -2 -10
2x = -12
divide both sides by 2:
x = -6
Answer:
the answer is to make the first offer!
Step-by-step explanation:
Since the surplus ($100000) is rapidly depleting, and though the second individual collects the whole surplus, it is already less than half of the surplus from the previous day. So, once you make the first bid, any offer above 100,000 would be fair to the second person and if he rejects the offer, he will only be able to get 100,000 the next day. You will raise the payout by 100000(1 ) this way.
Answer:
SECTION B
Step-by-step explanation:
Answer:
Proofs are in the explantion.
Step-by-step explanation:
We are given the following:
1) for integer .
1) for integer .
a)
Proof:
We want to show .
So we have the two equations:
a-b=kn and c-d=mn and we want to show for some integer r that we have
(a+c)-(b+d)=rn. If we do that we would have shown that .
kn+mn = (a-b)+(c-d)
(k+m)n = a-b+ c-d
(k+m)n = (a+c)+(-b-d)
(k+m)n = (a+c)-(b+d)
k+m is is just an integer
So we found integer r such that (a+c)-(b+d)=rn.
Therefore, .
//
b) Proof:
We want to show .
So we have the two equations:
a-b=kn and c-d=mn and we want to show for some integer r that we have
(ac)-(bd)=tn. If we do that we would have shown that .
If a-b=kn, then a=b+kn.
If c-d=mn, then c=d+mn.
ac-bd = (b+kn)(d+mn)-bd
= bd+bmn+dkn+kmn^2-bd
= bmn+dkn+kmn^2
= n(bm+dk+kmn)
So the integer t such that (ac)-(bd)=tn is bm+dk+kmn.
Therefore, .
//
Answer and workings in the attachment below.