Answer: <span><span>2x² + x - 2</span> (the first option)
Explanation:
1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1
2) First term of the quotient
</span><span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x²
----------------------------------
4x³ - 9x² + 3x - 2
3) Second term of the quotient:
</span>
<span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x² + x
----------------------------------
4x³ - 9x² + 3x - 2
-4x³ + x² - x
----------------------------
- 8x² + 2x - 2
4) third term of the quotient:
</span>
<span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x² + x - 2
----------------------------------
4x³ - 9x² + 3x - 2
-4x³ + x² - x
----------------------------
- 8x² + 2x - 2
8x² - 2x + 2
-------------------------
0
5) Conclusion: since the remainder is 0, the division is exact and the quotient is </span>2x² + x - 2
You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is 
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is: 
First we need to find slope
The formula used for finding slope is: 
We are given: 
Putting values in formula and finding slope
So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept
So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:
So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is
1 mile= 5280 feet
1/5280= 4.25/x This is a proportion.
5280 * 4.25= 22440
22440/1= 22440
4 1/4 miles= 22440 feet
Hope this helps! :D
