The sides of a triangle are represented by the expressions, (2x +3), (x - 1), and (-5 + 3x). What is the simplified expression that represented the perimeter of the triangle.

6x-3

Step-by-step explanation:

the perimeter of triangle =

(2x +3)+ (x - 1)+ (-5 + 3x) =

2x +3+x - 1 -5 + 3x =

6x -3

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: