Answer:
Step-by-step explanation:
circumference=2πr=6.28
r=6.28/2π=3.14/π=3.14/3.14=1
area=πr^2=π×1²=π=3.14 units²
2(5-n) can be an expression of "twice the difference of 5 and n".
I think it's either 18 or 24.. I've had this question before but I'm not positive which answer I put and if it was correct, sorry I couldnt help much :(
Answer:
The partial fraction decomposition is
.
Step-by-step explanation:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
To find the partial fraction decomposition of
:
First, the form of the partial fraction decomposition is

Write the right-hand side as a single fraction:

The denominators are equal, so we require the equality of the numerators:

Expand the right-hand side:

The coefficients near the like terms should be equal, so the following system is obtained:

Solving this system, we get that
.
Therefore,

Using the graph and function concepts, it is found that:
a) The domain is
, while the range is ![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
b) The function is increasing in
and
, and decreasing
, and
.
--------------------
- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
- If the <em>graph </em>is pointing upwards, the function increases.
- If the <em>graph </em>is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is:
![[-5,4]](https://tex.z-dn.net/?f=%5B-5%2C4%5D)
- The y-values are from -2 to -5, thus, the range is:
![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
--------------------
Item b:
- On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in
and
. - On the other intervals,
, and
, the function is decreasing.
A similar problem is given at brainly.com/question/10891721