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Lunna [17]
3 years ago
10

The product of two even numbers is always divisible by 4 true or false

Mathematics
1 answer:
never [62]3 years ago
7 0

Answer: TRUE

<u>Step-by-step explanation:</u>

an even number is divisible by 2.  

Consider even number j which equals 2a and even number k which equals 2b.  Then the product of these two numbers (j and k) = 2a*2b = 4ab.

4ab is divisible by 4.

BONUS:

The product of three even numbers is divisible by 2³

The product of four even numbers is divisible by 2⁴

The product of five even numbers is divisible by 2⁵

do you see the pattern?

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\large\begin{array}{l} \textsf{So the domain of C is}\\\\ \mathsf{D_C=\{x\in\mathbb{R}:~~x\ne -5~~and~~x\ne 5\}}\\\\\\ \textsf{or using a more compact form}\\\\ \mathsf{D_C=\mathbb{R}\setminus\{-5,\,5\}}\\\\\\ \textsf{or in interval notation}\\\\ \mathsf{D_C=\left]-\infty,\,-5\right[\,\cup\,\left]-5,\,5\right[\,\cup\,\left]5,\,+\infty\right[\,.} \end{array}


\large\textsf{So pick up the one you prefer. They're equivalent ways}\\\textsf{to represent the domain.}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2184171


\large\textsf{I hope this helps. :-)}


Tags: domain rational function fraction denominator restriction algebra

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