Answer:
The equation which is equivalent to [tex]t^2-8t+15=0[/tex] is
[tex](t-3)(t-5)=0[/tex]
Step-by-step explanation:
Given that the time a projectile spends in the air can be modeled by the equation [tex]t^2-8t+15=0[/tex], where t represents the amount of time traveled in seconds.
To find the equation is equivalent to [tex]t^2-8t+15=0[/tex] :
[tex]t^2-8t+15=0[/tex]
[tex]t^2-3t-5t+15=0[/tex]
[tex]t(t-3)-5(t-3)=0[/tex]
[tex](t-3)(t-5)=0[/tex]
Therefore the equation which is equivalent to [tex]t^2-8t+15=0[/tex] is
[tex](t-3)(t-5)=0[/tex]