Well using elimination is easy because they basically did it for you.
4x-5y=-6
2x+5y=12
The postive 5y and negative 5y cancel out because -5y plus 5y is zero.
so you are left with
4x=-6
2x=12
Add these together
6x=18
divide both sides by 6 and Solve to find your x
x=3
Now we have to eliminate x to find y.
we multiply the second equation by -2 so it can cancel out so
(2x+5y=12)-2
-4x-10y=24
Add the equations together
4x-5y=-6
-4x-10y=24
You are left with -15y = 30
Solve for y
y = -2
So your final answer for the elimination would be
(3,-2)
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
We do the same with the numerator
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
Therefore
Note that 
only if 
So since 
is not included in the domain the function has a discontinuity in
Answer:
SSS
Step-by-step explanation:
Answer: 40
Step-by-step explanation:
1 hour and 30 min is 15 pages read
If you read for three hours its 30 pages
An hour and a half is three parts of 30 so three parts of 15 is five
But you need a whole hour so its ten
Then you add 10 and 30
Its 40 pages in 4 hours.
Answer:
6 weeks
Step-by-step explanation:
Given that :
Nikki :
Initial amount = $1100 ;
Amount spent per week = $35
Mich:
Initial amount = $520
Amount saved per week = $55
Number of weeks they'll both have the same amount :
Let number of weeks = w
For Nikki who is spending :
1100 - 35w - - - (1)
For Mich who is saving :
520 + 55w - - - (2)
Equate (1) and (2)
1100 - 35w = 520 + 55w
1100 - 520 = 55w + 35w
580 = 90w
w = 580 / 90
w = 6.444
About 6 weeks
