EXERCICE 1 1. Montrer que, pour tout entier relatif n non nul, le nombre (12n + 5 )/(3n − 1) n'est pas entier. 2. A. Déterminer les entiers a, b et c tels que : 6n² + 5n + 11 = (2n − 1)(an + b) + c. b. Pour quelles valeurs de l'entier n a-t-on : (6n² + 5n + 11)/(2n − 1) ∈ N ? EXERCICE 2 1. Résoudre dans N l'équation : 3n + 7 ≡ 0 [5] .

idk

step-by-step explanation:

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6

x=-2

step-by-step explanation:

i began by flipping the problem to give me x= on the left (keeps it clearer for me).   so my problem simply became 10x-3=4x-6.  

1)   subtract 4x from the right side, which equals 0.   you do the same to the left of the equal as the right; therefore, subtract 4x from 10x, leaving 6x on the left.

              10x-3=4x-6   :   4x-4x on the right leaves only the -6        

2)             6x-3= 0-6 :    

                6x+3=   -6

3) divide