Answer: A And B
Step-by-step explanation:
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Answer:
Explanation:
In the first example the division results in a radical, not a polynomial.
The remaining examples are not counter-examples (they do result in a polynomial)
Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x
Answer:
y = (3/2)x + 11/2
Step-by-step explanation:
As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is
m = rise / run = 6/4 = 3/2.
Subbing the knowns into the general point-slope form of the equation of a straight line, we get
y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).
This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.
