document.write( "Question 949421: 1. What is the value of x in the equation 3(2x+1)=-15(5x+6)?
\n" ); document.write( "2. What is the slope and y-intercept of the equation -2x+3y=-3?
\n" ); document.write( "3. What is the constant rate of change for the two quantities of 10 pages read in 15 minutes?
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Algebra.Com's Answer #579638 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
note:
\n" ); document.write( "A‭ ‬linear function is a function whose graph produces a line.‭ ‬
\n" ); document.write( "Linear functions can \"always\" be written in the form
\n" ); document.write( "\"y=mx%2Bb\" called slope-intercept form\r
\n" ); document.write( "\n" ); document.write( "where \"b%26%238237%3B+\"‬is the initial or starting value of the function‭ (‬when input,‭\"x=+%26%238236%3B0\"‭) or y-intercept‬,‭ ‬
\n" ); document.write( "and \"m+\"is the constant rate of change of the function or a slope.‭ \r
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\n" ); document.write( "\n" ); document.write( "1. What is the value of \"x\" in the equation \"3%282x%2B1%29=-15%285x%2B6%29\"?\r
\n" ); document.write( "\n" ); document.write( "\"3%282x%2B1%29=-15%285x%2B6%29\"...first reduce, divide both sides by \"3\"\r
\n" ); document.write( "\n" ); document.write( "\"%282x%2B1%29=-5%285x%2B6%29\"....now multiply\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B1=-25x-30\"......add \"25x\" to the both sides\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B25x%2B1=-25x%2B25x-30\"\r
\n" ); document.write( "\n" ); document.write( "\"27x%2B1=-30\"\r
\n" ); document.write( "\n" ); document.write( "\"27x%2B1-1=-30-1\"\r
\n" ); document.write( "\n" ); document.write( "\"27x+=-31\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x+=-31%2F27%29\"\r
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\n" ); document.write( "\n" ); document.write( "2. What is the slope and y-intercept of the equation \"-2x%2B3y=-3\"?\r
\n" ); document.write( "\n" ); document.write( "\"-2x%2B3y=-3\"...first write it in slope-intercept form \"y=mx%2Bb\" \r
\n" ); document.write( "\n" ); document.write( "\"3y=2x-3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=2x%2F3-3%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=%282%2F3%29x-1\" \r
\n" ); document.write( "\n" ); document.write( "so, \"b=-1%26%238237%3B+\"=> if \"x=0\" then \"y=-1\" and y-intercept is at the point (\"0\",\"-1\")\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%282%2F3%29x-1%29+\"\r
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\n" ); document.write( "\n" ); document.write( "3. What is the constant rate of change for the \"two\" quantities of \"10\" pages read in \"15\" minutes?\r
\n" ); document.write( "\n" ); document.write( "the \"two\" quantities of \"10\" pages is \"20\" pages\r
\n" ); document.write( "\n" ); document.write( "if read in \"15\" minutes, then the constant rate of change is
\n" ); document.write( "\"20pg%2F15min=4pg%2F3min=%284%2F3%29%28pg%2Fmin%29=1.333%28pg%2Fmin%29\" or \"1\"\"1%2F3\"\"%28pg%2Fmin%29\"
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