Hello,
After decrypting the question:
f(x)=2x^4-4x^3-11x^2+3x-6
f(-2)=2(-2)^4-4(-2)^3-11(-2)^2+3*(-2)-6=2*16+32-44-6-6=8
The answer is the second option, or Ray BE is a bisector of angle ABE.
F(1) = 4 is given
f(2) = 2*f(2-1)+3
= 2*f(1)+3
= 2*4+3
= 8+3
= 11
f(3) = 2*f(3-1)+3
= 2*f(2)+3
= 2*11+3
= 22+3
= 25
f(4) = 2*f(4-1)+3
= 2*f(3)+3
= 2*25+3
= 50+3
= 53
f(5) = 2*f(5-1)+3
= 2*f(4)+3
= 2*53+3
= 106+3
= 109
f(1) = 4
f(2) = 11
f(3) = 25
f(4) = 53
f(5) = 109
For this question, the order of the paintings matter, so we can use generic permutation formula.
P = n!/(n-r)!
where:
n= number of paintings
r = number of paintings we are picking (in this case, we are selecting all paintings, as we are rearranging the paintings)
P = 4!/(4-4)!
P = 24/0! = 24 ways
4 paintings can be arranged in 24 different ways.
