Answer:
2x² − 4x + 3
Step-by-step explanation:
x = 2/3 is a root of both the numerator and the denominator, so it divides evenly. Therefore, one method is to factor by grouping:
6x³ − 16x² + 17x − 6
6x³ − 4x² − 12x² + 17x − 6
2x² (3x − 2) − (12x² − 17x + 6)
2x² (3x − 2) − (4x − 3) (3x − 2)
Divided by 3x − 2:
2x² − (4x − 3)
2x² − 4x + 3
Another method is to use long division (see image).
Answer:
C
Step-by-step explanation:
To find the slope between any two points, we can use the slope formula:
Where (x₁, y₁) and (x₂, y₂) are two, separate points.
We have the two points (-3, 3) and (-1, -1).
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).
Substitute them into the slope formula to get:
Subtract:
Hence, our slope is -2.
So, our answer is C.
4x + 6 < -6
- 6 -6
4x < -6
— —
4 4
x < -1.5
Answer:
23.43 gallons.
Step-by-step explanation:
30*0.781 which is 23.43 gallons.
Hope this helps!
Merry Christmas!
Answer:
One solution is to find x and y by doing the following:
Step-by-step explanation:
Let's solve for x.
3x+2y=4
Step 1: Add -2y to both sides.
3x+2y+−2y=4+−2y
3x=−2y+4
Step 2: Divide both sides by 3.
x=-2/3y+4/3
Lets solve for y.
3x+2y=4
Step 1: Add -3x to both sides.
3x+2y+−3x=4+−3x
2y=−3x+4
Step 2: Divide both sides by 2.
y= -3/2x+2
