The sum of three numbers is 104. the first number is 10 less than the second. the third number is 4 times the second. what are the numbers?

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

The second number in terms of x:

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

The first number is 9, second number 19 and the third number 76.

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:

2

step-by-step explanation: