We want to divide -12x³ - 5x² + 4x + 2 by x+2.
We shall perform the division with two methods: long division and synthetic division.
Long Division:
-2x² - x + 6
-----------------------------
x+2 | -2x³ - 5x² + 4x + 2
-2x³ - 4x²
------------------------------
- x² + 4x + 2
- x² - 2x
---------------------
6x + 2
6x + 12
---------------
- 10
Answer:
Synthetic Division:
-2 | -2 -5 4 2
4 2 -12
-------------------
-2 -1 6 -10
Answer:
Answer:
The 4th option is correct.
The equation of the line is: (y + 3) = 3 (x - 4)
Step-by-step explanation:
The equation of a line using two points, (x₁, y₁) and (x₂, y₂) is:
Here <em>m</em> is the slope of the line.
The formula to compute slope is:
<u>Given</u>: The two points are (4, -3) and (5, 0)
The equation of the line passing through the points (4, -3) and (5, 0) is:
Thus, the line passing through the points (4, -3) and (5, 0) is (y + 3) = 3 (x - 4).
Answer:
7%
Step-by-step explanation:
The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).
To do this, we can use the following formula:
Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:
We can cross multiply and simplify to find the tax rate:
We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:
Place the percent sign and we are done.
Hope this helps.
Answer:
3, -11-3
Step-by-step explanation:
(3x+1\)^2-100=0
(3x+1)^2-100+100=0+10
(3x+1)^2=100
3x+1=sqrt{100}
3x+1=-sqrt{100}