If a+b=13, and ab-40, then find a3+b3​

Step-by-step explanation:

Step 1: Set Up System of Equations

Solve for a in the first equation

Subsitur that in for the 2nd equation

Set each monomial to zero

Think of a number that adds to 13 and multiply to 40.

Th

So the answer is 5 and 8. Remember factos are interchangeable so a and b can be either 8 or 5.

Cubed both 5 and 8.

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: