Answer:
H. 6x^2 + 7x + 49
Step-by-step explanation:
= 3x^2 + 14 - 7x + 6 + 29 + 3x^2 + 5x + 9x
Combine like terms
= 6x^2 + 7x + 49
Answer:
Answers are below
Step-by-step explanation:
Hour 0 1 bacterium
Hour 1 3 bacterium
Hour 2 9 bacterium
Hour 3 27 bacterium
Hour 4 81 bacterium
Hour 5 243 bacterium
Hour 6 729 bacterium
After 24 hours, the number of the bacterium will reach 282,429,536,481.
B) This table represents exponential growth because of the number of bacterium always being multiplied by 3.
C) The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
D) Y = 1 + 3 to the power of x
E) The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.
Answer:
The cost function for
is
.
Step-by-step explanation:
The marginal cost function (
) is the derivative of the cost function (
), then, we should integrate the marginal cost function to find the resulting expression. That is:
![c(x) = \int {C(x)} \, dx + C_{f}](https://tex.z-dn.net/?f=c%28x%29%20%3D%20%5Cint%20%7BC%28x%29%7D%20%5C%2C%20dx%20%2B%20C_%7Bf%7D)
Where:
- Fixed costs, measured in US dollars.
If we know that
and
, then:
![c(x) = 0.06\int {e^{0.08\cdot x}} \, dx + 10](https://tex.z-dn.net/?f=c%28x%29%20%3D%200.06%5Cint%20%7Be%5E%7B0.08%5Ccdot%20x%7D%7D%20%5C%2C%20dx%20%2B%2010)
![c(x) = 0.75\cdot e^{0.08\cdot x}+10](https://tex.z-dn.net/?f=c%28x%29%20%3D%200.75%5Ccdot%20e%5E%7B0.08%5Ccdot%20x%7D%2B10)
The cost function for
is
.
Answer:
thank you
Step-by-step explanation: