What is the product of (x − 3) and (x + 7)?

The product of (x-3) and (x+7) is x² + 4x - 21

Step-by-step explanation:

The product of (x-3) and (x+7) is x² + 4x - 21

The product of (x - 3) and (x + 7) can be found as follows:

(x - 3)(x + 7)

open the bracket by multiplying

Therefore,

x(x) +x(7) - 3(x) - 3(7)

x² + 7x - 3x - 21

combine like terms

x² + 4x - 21

x - 21

Step-by-step explanation: If you put a one in front of each part of the equation, you would get 1(x - 3) * 1(x + 7). From there you would get 1x - 3 * 1x + 7. Then you multiply -3 * 7, which would equal -21. Therefore, the answer is "x minus 21".

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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: