Answer in Algebra for Allison Tomas #111712
February 20th, 2023
Let “S(t)=2t+5” – amount of sugar
and “M(t)=2t^2+1” – amout of milk
We should solve following inequality:
“M(t)>S(t)”
“2t^2+1>2t+5 \ 2t^2-2t-4>0\ t^2-t-2>0”
“D=(-1)^2-4(-2)=9”
“t_1=frac{1+3}{2}=2\nt_2=frac{1-3}{2}=-1”
“tisin(-infin,-1)bigcup(2,+infin)”
Since “t” is time, it can’t be less than 0.
Thereby, amount of time will exceed amount of sugar when “t>2”
Here blue line shows amount of sugar and red line shows amount of milk.
