The absolute value 
returns the "positive version" of a number.
In other words, if the number is positive, it remains positive; if the number is negative, it changes sign.
So, if we want 
, we want the "positive version" of x to be 9.
This can happen in two ways: if x is already 9, then its absolute value is still nine. If instead x=-9, its positive value will be 9 again.
In formula, we have
because
Answer:
7
Step-by-step explanation:
I am assuming that the division problem looks like this:
-2| 1 2 -3 1
Going off that assumption, we will work this problem. The first thing you always do in the execution of synthetic division is to bring down the first number. Then multiply that number by the one "outside", which is -2, then put that number up under the next number in the line:
-2| 1 2 -3 1
-2
1
Now add the 2 and -2 and bring that down as a 0 and multiply the -2 times the 0:
-2| 1 2 -3 1
-2 0
1 0
Now add -3 and 0 to get -3 and multiply that -3 times the -2 and put the product up under the next numbe in line;
-2| 1 2 -3 1
-2 0 6
1 0 -3
Now add the 1 and the 6 to get the remainder:
7
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Answer:
Step-by-step explanation:
Linear function:
A linear function has the following format:
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: 
So
Finding b:
We replace one of the points. Replacing (4,80).
So
I will do my best to explain this “ x method “ I use
Basically, two factors of the first and last number must multiply together to sum up to equal the middle number
1 X 12
1 4
(x+12) (x+4)
Hope this helps!
