SOLUTION: 1.Solve by Graphing (in Desmos) and also Solve by Substitution y=-x^2-3x+10 y=x+5 2.After t seconds, the height, p, of a projectile (in feet) is given by the equation p(t)=-

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 1.Solve by Graphing (in Desmos) and also Solve by Substitution y=-x^2-3x+10 y=x+5 2.After t seconds, the height, p, of a projectile (in feet) is given by the equation p(t)=-      Log On


   



Question 1070908: 1.Solve by Graphing (in Desmos) and also Solve by Substitution
y=-x^2-3x+10
y=x+5
2.After t seconds, the height, p, of a projectile (in feet) is given by the equation p(t)=-t^2+3t+2. After t seconds, the height, b, of a balloon (in feet) is given by the equation b(t)=4t-4. The projectile and the balloon are launched at the same time. After how many seconds (to the nearest hundredth) are the projectile and the balloon at the same height?
Use 𝑝(𝑡) = 𝑏(𝑡) to solve this problem

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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-x%5E2-3x%2B10=x%2B5
-x%5E2-4x%2B5=0
x%5E2%2B4x-5=0
%28x%2B5%29%28x-1%29=0
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p%28t%29=b%28t%29
-t%5E2%2B3t%2B2=4t-4
-t%5E2-t%2B6=0
t%5E2%2Bt-6=0
%28t%2B3%29%28t-2%29=0
t=2s