0=-20.5x+16.35x-0.1245

The value of x in the given equation is 0.03

Step-by-step explanation:

The given equation is that

The steps to be followed to solve the equation are :

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒

⇒

To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒

⇒

Now, the equation is further simplified by dividing 4.15 on both sides,

⇒

⇒

Therefore, the value of x is 0.03

29 is the correct answer

step-by-step explanation:

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: