I think the only prime, p, for which 8x = 1 mod(p) has no solutions is p = 2.
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If the grids is composed of unit squares then h(7) = 5, h(h(7)) → h(5) = -1
f-1(x) = (x - 5)/4
f-1(9) = 1
f-1(f-1(9)) → f-1(1) = -1
The dot product is a scalar Omi.
u.v = -7*0 + (-1)*8 + 8*2 → 8
As follows:
You need to know the time taken as speed = distance/time
6+2/3 → 20/3
number of pieces from 1 rod: n = 3636*3/20 → 545.4
ignore waste: n = 545
number of pieces from 4040 rods = 4040*545
you can crunch the final numbers!
f-1(a) = (a - 1)/a
f-1(a)*a*f(a) = (a - 1)/a * a * 1/(1 - a) → -1
Question 3.
a^2/3 = 9
a = 3sqrt(3) and a = -3sqrt(3)
Question 2.
This means. 2(3x + c) + 7 = 3(2x + 7) + c or 6x + 2c + 7 = 6x + 21 + c
I'm sure you can find c from this.