Answer:
En matemáticas, especialmente en la teoría de números hay una proposición que vincula tres conceptos: primalidad, factorial de un número entero no nulo y congruencia de números respecto de un módulo.
answer-Wilson's theorem, in number theory, theorem that any prime p divides (p − 1)! ... + 1, where n! is the factorial notation for 1 × 2 × 3 × 4 × ⋯ × n. For example, 5 divides (5 − 1)!
Answer:
![\displaystyle [-2, 7]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B-2%2C%207%5D)
Step-by-step explanation:
You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:
![\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cleft%20%5C%7B%20%7B%7B4x%20%2B%202y%20%3D%206%7D%20%5Catop%20%7B-2x%20%2B%202y%20%3D%2018%7D%7D%20%5Cright.)
{½[4x + 2y = 6]
{−2x + 2y = 18
>> ![\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cleft%20%5C%7B%20%7B%7B2x%20%2B%20y%20%3D%203%7D%20%5Catop%20%7B-2x%20%2B%202y%20%3D%2018%7D%7D%20%5Cright.%20%5C%5C%20%5C%5C%20%5Cfrac%7B3y%7D%7B3%7D%20%3D%20%5Cfrac%7B21%7D%7B3%7D%20%5C%5C%20%5C%5C%20%5C%5C%20y%20%3D%207)
Plug this back into the system to get the x-value of ![\displaystyle -2.](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-2.)
I am joyous to assist you at any time.
Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.
F(x)=x^3+2
we see the power is odd
the ends go in opsoite directions
we know that if the leadind coefient (number in front of highest power term) is positive, then odd powered polynomials go from bottom left to top right
and for even ones, it goes both up
for negative, odd ones go from top left to bottom right
for even, both go down
we gots
f(x)=1x^3+2
positive and odd, so it goes from bottom left to top right
as x approaches negative inifnity, y approaches negaitve infinity
as x approaches infinity, y approaches infinity