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german
3 years ago
14

* WORTH 30 Points *

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0
Any multiple of (-2x+3y=18) would constitute an "other equation" forming a system with an infiinite number of solutions.  The reason for that is that the two equations would be "dependent."

On the other hand, looking at the system

<span>-2x+ 3y= 18
</span><span>-2x+ 3y= 19

we see that there is no solution.  Why?  Because -2x + 3y cannot equal 18 and 19 at the same time.  You'd have two non-intersecting, parallel lines.

</span>
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Which expression is a polynomial?<br><br> –13
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Polynomials are <em>algebraic</em> expressions whose <em>standard</em> form is defined below:

p(x) = \sum \limit_{i=0}^{n} c_{i}\cdot x^{i}

The expression p(x) = - 13 represents a <em>zeroeth</em> polynomial.

<h3>What is a polynomial?</h3>

Herein we must present what the form of polynomials are. Polynomials are <em>algebraic</em> expressions whose <em>standard</em> form is defined below:

p(x) = \sum \limit_{i=0}^{n} c_{i}\cdot x^{i}     (1)

Where:

  • c_{i} - i-th coefficient
  • n - Grade
  • x - Independent variable

An example is the expression p(x) = - 13, <em>real </em>numbers can be define as <em>zeroeth</em> polynomials. In this regard, the example can be seen as:

p(x) = 0 · xⁿ + 0 · xⁿ⁻¹ + ... + 0 · x² + 0 · x - 13

<h3>Remark</h3>

The statement is incomplete. We decided to re-define the statement to what polynomials are.

To learn more on polynomials: brainly.com/question/11536910

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Step-by-step explanation:

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