document.write( "Question 1084163: Plot these two functions on the same axes:
\n" ); document.write( "
\n" ); document.write( " y = (x + 3)^2
\n" ); document.write( " and
\n" ); document.write( " y = -2 x + 10
\n" ); document.write( "Visually inspect the graph. Estimate where (in terms of x) the linear equation is less than the quadratic equation. Express your answer as an interval or an inequality.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #698233 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+y+=+%28+x+%2B+3+%29%5E2+\"
\n" ); document.write( "\"+y+=+-2x+%2B+10+\"
\n" ); document.write( "----------------------
\n" ); document.write( "Here is the plot:
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+50%2C+%28+x+%2B+3+%29%5E2%2C+-2x+%2B+10+%29+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "The line is less than the quadratic when:
\n" ); document.write( "\"+%28+x+%2B+3+%29%5E2+%3E+-2x+%2B+10+\"
\n" ); document.write( "\"+x%5E2+%2B+6x+%2B+9+%3E+-2x+%2B+10+\"
\n" ); document.write( "\"+x%5E2+%2B+8x+%3E+1+\"
\n" ); document.write( "complete the square
\n" ); document.write( "\"+x%5E2+%2B+8x+%2B+4%5E2+%3E+1+%2B+4%5E2+\"
\n" ); document.write( "\"+%28+x+%2B+4+%29%5E2+%3E+17+\"
\n" ); document.write( "Take the square root of bpth sides
\n" ); document.write( "\"+x+%2B+4+%3E+4.1231+\"
\n" ); document.write( "\"+x+%3E+.1231+\"
\n" ); document.write( "----------------------
\n" ); document.write( "Plug result back into either equation
\n" ); document.write( "\"+y+=+-2x+%2B+10+\"
\n" ); document.write( "\"+y+=+-2%2A.1231+%2B+10+\"
\n" ); document.write( "\"+y+=+10+-+.24621+\"
\n" ); document.write( "\"+y+=+9.7538+\" when \"+x+=+.1231+\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );