Answer:
y=-6
Step-by-step explanation:
Sample Response: The graphs are reflections of each other over the y-axis. The graph of g(x) shoes exponential decay, while the graph of f(x) shows exponential growth.
Some things you need in your respond is:
- Although the percentage might eventually round to 100%, it is not possible to have 100% of the phones working.
- This is because the model began when only 3 out of 10 phones were working, so there are 7 phones that were not working.
- In other words, the numerator and denominator of the expression are never the same, so the expression is never equal to 1 or 100%.
Answer:
3125 bacteria
Step-by-step explanation:
Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') = (1/2)r(n) = (1/2)(1/2)r(0) = (1/2)²r(0).
After n hours, r(n) = (1/2)ⁿr(0)
So when n = 4 hours and r(0) = 50,000, then
r(4) = (1/2)⁴r(0)
r(4) = (1/2)⁴ × 50,000
r(4) = (1/16) × 50,000
r(4) = 3125
So, after 4 hours, we have 3125 bacteria present.
Answer:
The rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities are:
a) 0.52
b) 2.63
Step-by-step explanation:
The rate of change of a function at a given point P can be obtained by evaluating the 1st derivative of the function in P. Thus,
Now for we just need to evaluate in each of the given points
a) 
b)
