Multiply 21-y(y+3) Multiplying Monomials and Binomials:

-y² - 3y + 21

Step-by-step explanation:

Our expression here is 21 - y(y + 3).

Let's focus on the parentheses part: y(y + 3). This is basically the same as writing y * (y + 3). We need to distribute out this parentheses. To do this, we multiply the outside term (y) by each of the inside terms (y and 3) and add those together:

y * (y + 3) = y * y + y * 3 = y² + 3y

Now, let's put that back into the original problem:

21 - y(y + 3)

21 - (y² + 3y)

21 - y² - 3y

The answer is thus -y² - 3y + 21.

~ an aesthetics lover

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:

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