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<title>A.I.21.1</title>
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<div class="feladat">
<b>Feladat: 21.1.</b><br /> <a name="a_i_egyrszr_HAFT_060519_03_teszt01" /><a href="bib_box.php?mode=sne-s-j-&amp;citation_num=" target="bib_box" onclick="mutat('bib_box.php?mode=sne-s-j-&amp;citation_num='); return false;"></a>Az <a href="chapter.php?mode=sne-s-j-&amp;volume=a_i&amp;code=A.I&amp;chapter=chs_a_i/a_i_egyrszr_teszt&amp;chapternum=21&amp;topic=Algebra&amp;yearpair=7--8#fig:a_i_egyrszr_HAFT_060519_03_teszt01fel" target="_blank">1</a>. ábrán az 

<br />

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>x</m:mi><m:mo>&rarr;</m:mo><m:mn>4</m:mn><m:mo>-</m:mo><m:mi>x</m:mi></m:mrow></m:math><br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>x</m:mi><m:mo>&rarr;</m:mo>

<m:msup><m:mrow><m:mi>x</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>-</m:mo><m:mn>6</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>4</m:mn></m:mrow></m:math><br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>x</m:mi><m:mo>&rarr;</m:mo><m:mo stretchy="false">[</m:mo><m:mi>x</m:mi><m:mo>-</m:mo><m:mn>5</m:mn><m:mo>,</m:mo><m:mn>9</m:mn><m:mo stretchy="false">]</m:mo></m:mrow></m:math>

<br />

 függvények grafikonjai láthatók.

Olvassuk le az ábráról az alábbi egyenletrendszerek megoldásainak számát!

<div class="p"><!----></div>

<a name="fig:a_i_egyrszr_HAFT_060519_03_teszt01fel" /><div align="center"><img src="/cache/figures/chs_a_i/a_i_egyrszr_HAFT_060519_03_teszt01fel.png" /><br />1. ábra</div>

<div class="p"><!----></div>

<br /><b>I.</b> 

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mrow><m:mo>{</m:mo>

<m:mtable>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo><m:mn>4</m:mn><m:mo>-</m:mo><m:mi>x</m:mi></m:mrow></m:mtd></m:mtr>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo><m:mo stretchy="false">[</m:mo><m:mi>x</m:mi><m:mo>-</m:mo><m:mn>5</m:mn><m:mo>,</m:mo><m:mn>9</m:mn><m:mo stretchy="false">]</m:mo></m:mrow></m:mtd></m:mtr></m:mtable>

<m:mo> </m:mo></m:mrow></m:mrow></m:math>;

<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>II.</b> 

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mrow><m:mo>{</m:mo>

<m:mtable>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo><m:mn>4</m:mn><m:mo>-</m:mo><m:mi>x</m:mi></m:mrow></m:mtd></m:mtr>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo>

<m:msup><m:mrow><m:mi>x</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>-</m:mo><m:mn>6</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>4</m:mn></m:mrow></m:mtd></m:mtr></m:mtable>

<m:mo> </m:mo></m:mrow></m:mrow></m:math>;

<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>III.</b> 

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mrow><m:mo>{</m:mo>

<m:mtable>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo><m:mo stretchy="false">[</m:mo><m:mi>x</m:mi><m:mo>-</m:mo><m:mn>5</m:mn><m:mo>,</m:mo><m:mn>9</m:mn><m:mo stretchy="false">]</m:mo></m:mrow></m:mtd></m:mtr>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo>

<m:msup><m:mrow><m:mi>x</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>-</m:mo><m:mn>6</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>4</m:mn></m:mrow></m:mtd></m:mtr></m:mtable>

<m:mo> </m:mo></m:mrow></m:mrow></m:math>;

<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>IV.</b> 

<m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mrow><m:mo>{</m:mo>

<m:mtable>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo><m:mo stretchy="false">[</m:mo><m:mi>x</m:mi><m:mo>-</m:mo><m:mn>5</m:mn><m:mo>,</m:mo><m:mn>9</m:mn><m:mo stretchy="false">]</m:mo></m:mrow></m:mtd></m:mtr>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo>

<m:msup><m:mrow><m:mi>x</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>-</m:mo><m:mn>6</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>4</m:mn></m:mrow></m:mtd></m:mtr>

<m:mtr><m:mtd columnalign="right"><m:mrow><m:mi>y</m:mi></m:mrow></m:mtd><m:mtd columnalign="left"><m:mrow><m:mo>=</m:mo><m:mn>4</m:mn><m:mo>-</m:mo><m:mi>x</m:mi></m:mrow></m:mtd></m:mtr></m:mtable>

<m:mo> </m:mo></m:mrow></m:mrow></m:math>.

<br />

<div class="p"><!----></div>

A megoldások száma:

<div class="p"><!----></div>

<br /><b>A)</b>&nbsp;&nbsp;&nbsp; I. - kettő, II. - egy, III. - kettő, IV. - nulla&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>B)</b>&nbsp;&nbsp;&nbsp; I. - egy, II. - kettő, III. - egy, IV. - egy&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <b>C)</b>&nbsp;&nbsp;&nbsp; I. - egy, II. - kettő, III. - három, IV. - egy&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <b>D)</b>&nbsp;&nbsp;&nbsp; I. - egy, II. - kettő, III. - három, IV. - négy &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>E)</b>&nbsp;&nbsp;&nbsp; egyik sem<br />

y default: it reads from stdin and writes to stdout.

But a non-switch argument specifies the file[.tex] to translate to file.xml.

Diagnostics concerning unknown or untranslated constructs are sent to stderr.

<div class="p"><!----></div>

  Obtain USAGE </td><td width="150">

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  Obtain QUALIFICATIONS by:               ttm -?q

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<br />&nbsp;<br /></div>
<div class="feladat">
<a name="_solution_a_i_egyrszr_HAFT_060519_03_teszt01" /><b>Megoldás: 21.1</b><br />
<b>C</b>

<div class="p"><!----></div>
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