Answer:
y^2+xy+x+3y+2
Step-by-step explanation:
first of all we have to multiplies the y in the second bracket for all numbers in the first bracket.
so we have:
xy+y^2+2y
now we have to do the same with 1
x+y+2
now we have to unite the two solutions
xy+y^2+2y+x+y+2
at least we have to added up the similar terms (that have the same literal part)
y^2+xy+x+3y+2
If this is asking for the nearest hundred thousand, and not ten thousand, than you would round up to 100,000. 91,284 is close to 100,000.
Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation

where
- m is the rate of change or slope
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
<u>EXTRA BONUS!</u>
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
By definition, we have

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:
Suppose that 
In this case, the absolute value doesn't do anything: the equation is

We are supposing
, so we can accept this solution.
Now, suppose that
. Now the sign of the expression is flipped by the absolute value, and the equation becomes

Again, the solution is coherent with the assumption, so we can accept this value as well.