For this case we must simplify the following expression:![7 (\sqrt [3] {2x}) - 3 (\sqrt [3] {16x}) - 3 (\sqrt [3] {8x})](https://tex.z-dn.net/?f=7%20%28%5Csqrt%20%5B3%5D%20%7B2x%7D%29%20-%203%20%28%5Csqrt%20%5B3%5D%20%7B16x%7D%29%20-%203%20%28%5Csqrt%20%5B3%5D%20%7B8x%7D%29)
We rewrite:

We rewrite the expression:
![7 (\sqrt [3] {2x}) - 3 (\sqrt [3] {2 ^ 3 * 2x}) - 3 (\sqrt [3] {2 ^ 3 * x}) =](https://tex.z-dn.net/?f=7%20%28%5Csqrt%20%5B3%5D%20%7B2x%7D%29%20-%203%20%28%5Csqrt%20%5B3%5D%20%7B2%20%5E%203%20%2A%202x%7D%29%20-%203%20%28%5Csqrt%20%5B3%5D%20%7B2%20%5E%203%20%2A%20x%7D%29%20%3D)
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, taking the terms of the radical:
![7 (\sqrt [3] {2x}) - 3 (2 \sqrt [3] {2x}) - 3 (2 \sqrt [3] {x}) =\\7 \sqrt [3] {2x} -6 \sqrt [3] {2x} -6 \sqrt [3] {x} =](https://tex.z-dn.net/?f=7%20%28%5Csqrt%20%5B3%5D%20%7B2x%7D%29%20-%203%20%282%20%5Csqrt%20%5B3%5D%20%7B2x%7D%29%20-%203%20%282%20%5Csqrt%20%5B3%5D%20%7Bx%7D%29%20%3D%5C%5C7%20%5Csqrt%20%5B3%5D%20%7B2x%7D%20-6%20%5Csqrt%20%5B3%5D%20%7B2x%7D%20-6%20%5Csqrt%20%5B3%5D%20%7Bx%7D%20%3D)
We add similar terms:
![\sqrt [3] {2x} -6 \sqrt [3] {x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B2x%7D%20-6%20%5Csqrt%20%5B3%5D%20%7Bx%7D)
Answer:
Option C
Answer:
Désolé, mon français est terrible, je vais donc utiliser traduction automatique ici.
x est approximativement égal à 0.906 et -1.656
Step-by-step explanation:
x + (2x + 3) + 4x² - 9 = 0
4x² + x + 2x + 3 - 9 = 0
4x² + 3x - 6 = 0
Nous ne pouvons pas prendre en compte cela, nous allons donc passer par la résolution de x à la place.
Commençons par compléter le carré:
4x² + 3x = 6
4x² + 3x + 9 / 16 = 6 + 9 / 16
(2x + 3/4)² = 96 / 16 + 9 / 16
(2x + 3/4)² = 105 / 16
2x + 3/4 = ± √105 / 4
2x = -3/4 ± √105 / 4
2x = (-3 ± √105) / 4
x = (-3 ± √105) / 8
x ≈ 0.906, -1.656
Answer:
<h2>

</h2>
Step-by-step explanation:
<span>Test if 8 is divisible by all possible numbers. Start by testing the smallest number possible (1) and making your way up to the largest number possible (7).
8/1= 8
8/2=4
8/3= not a whole number
8/4 = 2
8/5 = not a whole number
8/6 = not a whole number
8/7 = not a whole number
note we did not try 8/8 because that would not be considered "taking apart".
After sorting out our test answers we can conclude that you can take 8 apart in three ways. In 8 groups of 1, in 2 groups of 4, and in 4 groups of 2. You can show this in pictures by illustrating these groups. See Below
x x x x x x x x
xx xx xx xx
xxxx xxxx</span>
Answer: B) 160
<u>Step-by-step explanation:</u>
Since the Standard deviation of 21 bins is 3 bins, then the first 7 bins falls in the first 2.5% edge of the bell curve.
2.5% of 21 times 1000 = (0.025)(21)(1000) = 160