The Lorentzian Cauchy is a continuous probability distribution. To take the Fourier transform of the Lorentzian Cauchy, the characteristic function of the distribution has to be determined first. Numerical methods involving the gamma function is used to produce the Fourier transform the Lorentzian Cauchy.
Let h be horses
let s be sheep
h + s = 28
6s = h
plug h into eq’n one
(6s) + s = 28
7s = 28
s = 4
plug s into eq’n 2
6(4) = h
24 = h
therefore there are 24 horses and 4 sheep
When reflecting something across the y axis, the x point becomes of the opposite parity (for example, when reflecting (1,2) across the y axis, the result would be (-1,2)). In this case, we can start by doing this for each of the individual points.
J (1,4) becomes (-1,4) when reflected across the y axis
R (2,1) becomes (-2,1) when reflected across the y axis
A (3,5) becomes (-3,5) when reflected across the y axis
So, I think that your mistake was that you thought that reflecting across the y axis meant changing the y coordinate. That being said, the correct answer is A.
The initial population of the town is 7000, rate of reduction is 3%, thus the function modeling the new population will be given by:
f(t)=7000(0.97)^t
thus since our t=0 is in the year 2010, in the year 2019, t=19. The new population will be:
f(19)=7000(0.97)^19
f(19)=3,924.29
Thus the estimated population will be 3,924.29