document.write( "Question 908650: Create coefficient matrix and augmented matrix for the following:
\n" ); document.write( "Given the formula y= a(t^2) + bt + c, we can find the height, y, of an item thrown into the air. If an item is thrown and is at height, y= 23/4 at time, t= 1/2 and is at y= 7 at t= 1, and is at y= 2 at t= 2, solve for the coefficients a, b and c. \n" ); document.write( "

Algebra.Com's Answer #551181 by ewatrrr(24785) $\"\"$ $\"About$

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1/4a + b/2 + c = 23/4
\n" ); document.write( ".....
\n" ); document.write( "4a + 2b + c = 2
\n" ); document.write( "a + b + c = 7 Subtract 2nd from 1st EQ
\n" ); document.write( "3a + b = -5
\n" ); document.write( "..........
\n" ); document.write( "a + b + c = 7
\n" ); document.write( "1/4a + b/2 + c = 23/4 Subtract 2nd from 1st EQ
\n" ); document.write( " 3/4a= -5/4
\n" ); document.write( "..............
\n" ); document.write( "3a + b = -5
\n" ); document.write( "3/4a + 1/2b = -5/4|multiplying thru by -2 to eliminate the b variable by adding the Eqs
\n" ); document.write( "3/2a = = -15/2
\n" ); document.write( "a = -5, b = 10 $\"-15+%2B+b+=+-5\"$ and c = 2 $\"-5+%2B+10+%2B+c+=+7\"$
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