Given function:

The minimum value of the function can be found by setting the first derivative of the function to zero.


Solving for x:


Substituting the value of x into the original function:

Hence, the minimum value in the given range is (-1, -0.368)
Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
Let x = 0.71428571428...
1000000x = 714285.714285...
x(1000000 - 1) = 714285
999999x = 714285
x = 714285/999999
Answer:
15t+9r=2
Step-by-step explanation:
the terms which are the variables are not the same on any part of the equation
Step-by-step Answer::
"Each month, the balance in the account increases by 0.25%"
means F(n)=F(n-1)*1.0025
"Elaine deposited $50 into a bank account."
means F(0) = 50
So a recursive definition is
F(n) = F(n-1)*1.0025 for n=1,2,3,4... and F(0)=50
Symbols used in the actual answer choices may differ, but with the same principle.