Answer:
x= -2
Step-by-step explanation:
The first thing I did was isolate the x's on one side. I subtracted 38x from both sides. This gives me:
-9x=18.
Now i divide both sides by -9. Giving me x=-2
I am in eighth grade and I tried my best
Answer: 132 handshakes in total
Step-by-step explanation: 11x12 because one of them will be the one shaking hands with everyone else so he would have gotten 11 hands shaked so everyone would have gotten their hands shaked 11 times
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
Answer:15
Step-by-step explanation:
