Based on the given task content; the product of StartFraction 4 n Over 4 n minus 4 EndFraction times StartFraction n minus 1 Over n + 1 EndFractiontartFraction 2 Over x EndFraction is (4n² - 8n) / (4n²x - 5nx - x)
<h3>Product</h3>
Product of numbers refers to the multiplication of two or more values to arrive at a single result.
4n / (4n - 1) × (n - 1) / (n + 1) 2/x
= 4n / (4n - 1) × 2(n - 1) / x(n + 1)
= 4n / (4n - 1) × (2n - 2) / (nx + x)
= 4n(2n - 2) / (4n - 1) (nx + x)
= 4n² - 8n / (4n²x - 4nx - nx - x)
= (4n² - 8n) / (4n²x - 5nx - x)
Therefore, the product of 4n / (4n - 1) × (n - 1) / (n + 1) 2/x is (4n² - 8n) / (4n²x - 5nx - x)
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d(t)=2t^2. [5,9]
The average rate of change is calculated by the formula: d(t2) - d(t1) / t2 - t1
So plug in 5 as t1 and 9 as t2.
d(9) - d(5) / 9 - 5 =
(2×81) - (2×25) / 9 - 5 =
162 - 50 / 4 =
112 / 4 = 28
The average speed is 28 feet.
Step-by-step explanation:
Since an interior angle is 150 degrees, its adjacent exterior angle is 30 degrees. Exterior angles of any polygon always add up to 360 degrees. With the polygon being regular, we can just divide 360 by 30 to get 12 sides.
Answer:
<h2>
-3</h2>
Solution,
![\frac{24 {x}^{2} + 25x - 47}{ax - 2} = - 8x - 3 - \frac{53}{ax - 2} \\ \frac{24 {x}^{2} + 25x - 47 }{ax - 2} = \frac{( - 8x - 3)(ax - 2) - 53}{ax - 2} \\ 24 {x}^{2} + 25x - 47 = - 8a {x}^{2} + (16 - 3a)x - 47 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%20%7Bx%7D%5E%7B2%7D%20%20%2B%2025x%20-%2047%7D%7Bax%20%20-%202%7D%20%20%3D%20%20%20-%208x%20-%203%20-%20%20%5Cfrac%7B53%7D%7Bax%20-%202%7D%20%20%5C%5C%20%20%5Cfrac%7B24%20%7Bx%7D%5E%7B2%7D%20%2B%2025x%20-%2047%20%7D%7Bax%20-%202%7D%20%20%3D%20%20%5Cfrac%7B%28%20-%208x%20-%203%29%28ax%20-%202%29%20-%2053%7D%7Bax%20-%202%7D%20%20%5C%5C%2024%20%7Bx%7D%5E%7B2%7D%20%20%2B%2025x%20-%2047%20%3D%20-%208a%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%2816%20-%203a%29x%20-%2047%20%5C%5C%20)
Equating coefficients from both side:
![- 8a = 24 \\ a = \frac{ 24}{ - 8} \\ a = - 3](https://tex.z-dn.net/?f=%20-%208a%20%3D%2024%20%5C%5C%20a%20%3D%20%20%5Cfrac%7B%20%2024%7D%7B%20-%208%7D%20%20%5C%5C%20a%20%3D%20%20-%203)
Hope this helps..
good luck on your assignment..