Answer:
19.44 hours, about 19 hours 26 minutes
Step-by-step explanation:
The exponential equation that describes your caffeine level can be written as ...
c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg
We want to find t for c(t) = 10, so ...
10 = 120(0.88^t)
10/120 = 0.88^t . . . . . . . divide by 120
log(1/12) = t·log(0.88) . . . take logarithms
t = log(1/12)/log(0.88) ≈ 19.4386
It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.
Answer:
- 16
Step-by-step explanation:
Evaluate f(2) by substituting x = 2 into f(x) , that is
f(2) = 3(2) - 3 = 6 - 3 = 3
Evaluate g(- 1) by substituting x = - 1 into g(x) , that is
g(- 1) = 8 - (- 1)² = 8 - 1 = 7
Thus
4f(2) - 4g(- 1)
= 4(3) - 4(7)
= 12 - 28
= - 16
Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Step-by-step explanation:
I hope this helped ;)
Let's start with the x coordinates.
-8 is on the left, and -4 to the right, so that will help organize this.
the line goes from -8,-9 to -4,-8. it moved 4 over the x axis and rose 1 over the y axis.
rise/run so 1/4 is the slope.
y=(1/4)x - 7
