document.write( "Question 1148671: Find a formula for the exponential function passing through the points (-1,3/5) and (3,375). \n" ); document.write( "
Algebra.Com's Answer #770025 by MathTherapy(10555)\"\" \"About 
You can put this solution on YOUR website!
Find a formula for the exponential function passing through the points (-1,3/5) and (3,375).
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The other person's answer is WRONG!\r\n" );
document.write( "\"matrix%281%2C3%2C+y%2C+%22=%22%2C+ab%5Ex%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C+3%2F5%2C+%22=%22%2C+ab%5E%28-+1%29%29\" ------ Substituting (- 1, \"3%2F5\") for (x, y)\r\n" );
document.write( " ------- eq (i)\r\n" );
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document.write( "\"matrix%281%2C3%2C+y%2C+%22=%22%2C+ab%5Ex%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C+375%2C+%22=%22%2C+ab%5E3%29\" ----- Substituting (3, 375) for (x, y)\r\n" );
document.write( "\"matrix%281%2C3%2C+a%2C+%22=%22%2C+375%2Fb%5E3%29\" ------- eq (ii)\r\n" );
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document.write( "This then results in: \"matrix%281%2C3%2C+3b%2F5%2C+%22=%22%2C+375%2Fb%5E3%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C+3b%5E4%2C+%22=%22%2C+5%28375%29%29\"------- Cross-multiplying\r\n" );
document.write( "\"matrix%281%2C5%2C+b%5E4%2C+%22=%22%2C+5%28375%29%2F3%2C+%22=%22%2C+625%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C+b%2C+%22=%22%2C+root+%284%2C+625%29%2C+%22=%22%2C+5%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C+a%2C+%22=%22%2C+3%285%29%2F5%2C+%22=%22%2C+3%29\" ------- Substituting 5 for b in eq (i)\r\n" );
document.write( "Exponential function: \"highlight_green%28matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+3%285%29%5Ex%29%29\"
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