Answer:
6 pieces, 6/8
Step-by-step explanation:
You have 8 pieces you take away 2 you get 6.
8-2=6
Start with the answer format we want, and work your way toward forming a single fraction like so

Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
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An alternative route:

I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
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Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.
Answer:
3a -2c +8
You have to combine the same letters together, which is only 2c and -4c. Then you just write the rest of the equation.
The answer is C.
To solve these types of equations you first need to make sure that you equation is equal to 0. In this case all of the numbers are already on the same side so no work needs to be done there. Then we can get a, b and c values for the quadratic equation by looking at the coefficients.
a = 4 (number attached to x^2)
b = -6 (number attached to x)
c = 1 (number with no variable attached)
Now we can put this into the quadratic equation.


Given the graph from the question
We want to find the slope
Solution
From the graph, the major two points are already indicated
i.e.

The formula to find the slope (m) is given as

Using the indicated coordinates


Therefore, the slope is 2
Option D