document.write( "Question 122238: A baseball player hits a ball into the air. The ball's height above the ground, in metres, t seconds after being hit, is approximated by h(t)=1+13t-5t^2. Algebraically determine the time when the ball first reaches a height of 9 m. \n" ); document.write( "
Algebra.Com's Answer #89802 by algebrapro18(249)![]() ![]() ![]() You can put this solution on YOUR website! well all you have to do here is plug 9 in for h(t) and solve for t. \r \n" ); document.write( "\n" ); document.write( "9 = 1 + 13t -5t^2 ---> Combine like terms \n" ); document.write( "5t^2-13t+8 = 0 ---> factor \n" ); document.write( "(5t-8)(t-1)=0 --->set each factor to zero and solve\r \n" ); document.write( "\n" ); document.write( "5t-8=0 ---> add 8 to both sides \n" ); document.write( "5t = 8 ---> divide both sides by 5 \n" ); document.write( "t = 8/5 \r \n" ); document.write( "\n" ); document.write( "t-1 = 0 --> add 1 to both sides \n" ); document.write( "t = 1 \r \n" ); document.write( "\n" ); document.write( "so the ball reaches the height of 9 meters 1 second after it was hit. \n" ); document.write( " |