No, you do not have to line up the decimals.
Answer:
51 MPH
Step-by-step explanation:
4 days is 96 hours, all you have to do is 4717/90
which is 51.41111 (with the 1 repeating) rounded to the nearest MPH (Nearest whole number) is 51
Answer: 
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Work Shown:
Part 1

Part 2

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Explanations:
- There are quite a bit of steps. I decided to break things into two parts.
- The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
- Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
- From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
- The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
- If the formulas don't properly display, then you might have to refresh the page.
Answer:
Step-by-step explanation:
O
3x² - 11x - 4 = 0
a = 3 ; b = -11 , c = -4

W
8x² + 12x = -1
8x² + 12x + 1 = 0
a = 8 ; b = 12 ; c = 1

L
x² + x = 6
x² + x - 6 = 0
a = 1 ; b= 1 ; c = -6

G
x²- 2x - 2 =0
a = 1 ; b = -2 ; c = -2

E
4x - 5 = -4x²
4x² + 4x - 5 = 0
a = 4 ; b = 4 ; c = -5

B
12x² +x -6 = 0
a = 12 ; b = 1 ; c = -6

R
2x² + 5x - 25 = 0
a = 2 ; b = 5 ; c = -25

A
6x² -5x - 4 = 0
a = 6 ; b = -5 ; c = -4
![Sum \ of \ roots =\dfrac{-[-5]}{6}=\dfrac{5}{6}\\\\Product \ of \ roots = \dfrac{-4}{6}=\dfrac{-2}{3}](https://tex.z-dn.net/?f=Sum%20%5C%20of%20%5C%20roots%20%3D%5Cdfrac%7B-%5B-5%5D%7D%7B6%7D%3D%5Cdfrac%7B5%7D%7B6%7D%5C%5C%5C%5CProduct%20%5C%20of%20%5C%20roots%20%3D%20%5Cdfrac%7B-4%7D%7B6%7D%3D%5Cdfrac%7B-2%7D%7B3%7D)
The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.
<h3>
Simplification</h3>
Question 1: a³ - 1000b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 1000 is the cube of 10
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(a - 10b) × (a² + 10ab + 100b²)
Question 2: 64a³ - 125b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 64 is the cube of 4
- 125 is the cube of 5
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(4a - 5b) • (16a² + 20ab + 25b²)
Learn more about simplification:
brainly.com/question/723406
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