Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
Answer:
242 members voted in favor while 193 members voted against
Step-by-step explanation:
Let those that voted against be x will those in favor will be (x+49)
Since today number of voters is 435
To find x
X + (x+49) = 435
2x + 49 = 435
2x = 435 - 49
2x = 386
X = 386/2
X = 193
Therefore, those against is 193 while this in favor is 193+49 = 242
F(g(x)) where you see an 'x' in f(x) put a g:
f(g(x)) = 1/(g-7), now step by step: g - 7 = 6/x+7-7=6/x, and 1/(g-7)=1/(6/x)=x/6!
I let the second one for you. Sorry if you disagree!
A graph of f(x)=|x| is posted below, hoped this helps!