Answer: C) Find the factors of c that add up to b.
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Explanation:
If we want to factor something in the form x^2+bx+c, then we look for two numbers that
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Let's look at a specific example
Consider factoring x^2+5x+6
We need to find two numbers that...
- Multiply to c = 6
- Add to b = 5
Through trial and error, you should find the two numbers to be 3 and 2. This means it factors to (x+3)(x+2). The order of the factors doesn't matter.
You can use the FOIL rule or the box method to expand out (x+3)(x+2). You should get x^2+5x+6 again.
Answer:
1.) Y = 5/3 X + 4
2.) Y = 9/4 X - 27/4
Step-by-step explanation:
Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is
Y = MX + C
Where the
Slope M = 5/3
Coordinate = (-3,-1) in which
X = -3, Y = -1
Substitute X, Y and M into the general linear equation to achieve C
-1 = 5/3(-3) + C
-1 = - 5 + C
C = 5 - 1
C = 4
Substitute C and M back into the general linear equation.
Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be
Y = 5/3 X + 4
2.) Also,
Slope M = 9/4
Coordinate = (3,0) where X = 3, Y = 0
Substitute X, Y and M into the general linear equation to obtain C
0 = 9/4 (3) + C
C = - 27/4
Substitutes C and M back into the general linear equation
Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)
Y = 9/4 X - 27/4
Go to desmos.com its a free graphing calculator site. type in (x+2)/(x-3)
it'll show you the graph
9514 1404 393
Answer:
3
Step-by-step explanation:
The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...
m = rise/run = 3/1 = 3
The gradient of the graph is 3.
1/8 divided by 3/4 is (1/8) / (3/4). When you divide fractions, you flip the 2nd number and change the divide into multiply. So (1/8)*(4/3). Multiply top by top and bottom by bottom to get 4/24. That simplifies to 1/6
