Write and equation in which the quadratic expression 2x^2 -2x -12 equals 0. Show the expression in factored form and explain wha
t your solutions mean for the equation. Show your work.
a) Take out the GCF
b) Factor the rest of the equation
c) Find the solutions of the equation
a) Take out the GCF
b) Factor the rest of the equation
c) Find the solutions of the equation
1 answer:
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Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus, . We use this to find k.
Then
What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So
The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.