Answer: 15 gallons are needed
Step-by-step explanation: Simplify the ratio 5:2, which is 2.5:1. Multiply 6 on both sides to get 15:6. :)
Step-by-step explanation:
so A = 64a +45
(
so B = 108 +a
2A-B=0--> 2(64a+45)-108-a=0--> a =18/127
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
Answer:
the slope is 60
Step-by-step explanation:
the slope is the number multiplying the x value, or t in this case.
