77+78+79+80=314 Is Your Answer
Answer:
The exponential function that passes through (2,36) is:
.
Step-by-step explanation:
We are asked to find which function passes through the point (2,36).
i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.
1)

now we put x=2.

hence option 1 is correct.
2)

Now we put x=2.

Hence, option 2 is incorrect.
3)

Now we put x=2

Hence, option 3 is incorrect.
4)

Now we put x=2.

Hence, option 4 is incorrect.
Hence, option 1) is correct.
i.e. The exponential function that passes through (2,36) is:

It is the extent to which a distribution is stretched
Answer:
x = 9
Step-by-step explanation:
-5(1 + 1x) = -50
-5 + -5x = -50
-5 + -5x + 5 = -5x
-50 + 5 = -45
-5x = -45
-5x / -5 = x
-45 / -5 = 9
x = 9
Answer:
a. 
b. 
Step-by-step explanation:
First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

The rate is negative as it represents the amount of caffeine leaving the body at certain time.