Answer:
and
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the equilibrium solutions
We have:
To solve this, we first equate and to 0.
So, we have:
Factor out R in
Split
or
or
Factor out W in
Split
or
Solve for R
Make R the subject
When , we have:
Collect like terms
Solve for W
When , we have:
Collect like terms
Solve for R
So, we have:
When , we have:
So, we have:
Hence, the points of equilibrium are:
and
The cat prowled and the mice scattered
Answer:
desmos
Step-by-step explanation:
trrytt dessmooossgnbtbfbrb
Answer:
m
Step-by-step explanation:
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:
First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:
Now, create a common denominator. To do this, we can multiply the first term by (<em>a</em> + 1) and the second term by (<em>a</em> + 2). Hence:
Add the fractions:
Factor:
Simplify:
We can expand. Therefore:
Problem 2)
We want to simplify:
Again, let's create a common denominator. First, let's factor out a negative from the second term:
Now to create a common denominator, we can multiply the first term by (<em>a</em> - <em>c</em>) and the second term by (<em>a</em> - <em>b</em>). Hence:
Subtract the fractions:
Distribute and simplify:
Cancel. Hence: