Answer:
1/16
Step-by-step explanation:
We know that a^b / a^c = a^(b-c)
4^6/4^8
4^(6-8)
4^-2
We know that a^-b = 1/a^b
1/4^2
1/16
Answer:
The solution of the given inequality n < 5
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given inequality

<u><em>Step(i)</em></u>:-
Cross multiplication '4' we get
8 n - 12 < 4 ( n +2)
8 n - 12 < 4 n + 4×2
8 n - 12 < 4 n +8
Subtracting '4 n ' on both sides, we get
8 n - 4 n - 12 < 4 n - 4 n +8
4 n - 12 < 8
<u><em>Step(ii):-</em></u>
Adding ' 12 ' on both sides , we get
4 n -12 + 12 < 8 + 12
4 n < 20
Dividing "4' on both sides , we get
n < 5
The solution is n < 5
<u><em>Conclusion:-</em></u>
The solution of the given inequality n < 5
Answer:
Δ = 60
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the discriminant
Δ = b² - 4ac
Given
3x² + 6x = 2 ( subtract 2 from both sides )
3x² + 6x - 2 = 0 ← in standard form
with a = 3, b = 6 and c = - 2
b² - 4ac = 6² - (4 × 3 × - 2) = 36 - (- 24) = 36 + 24 = 60
Answer:
![\[=>x\geq 4\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%204%5C%5D)
Step-by-step explanation:
Given inequality is ![\[−7\geq13−5x\]](https://tex.z-dn.net/?f=%5C%5B%E2%88%927%5Cgeq13%E2%88%925x%5C%5D)
Simplifying:
![\[5x\geq13+7\]](https://tex.z-dn.net/?f=%5C%5B5x%5Cgeq13%2B7%5C%5D)
![\[=>5x\geq20\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E5x%5Cgeq20%5C%5D)
![\[=>x\geq \frac{20}{5}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%20%5Cfrac%7B20%7D%7B5%7D%5C%5D)
![\[=>x\geq 4\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%204%5C%5D)
Hence the solution for the given inequality is represented by ![\[=>x\geq 4\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%204%5C%5D)
This means that the original inequality will be true only for those values of x which are greater than or equal to 4.
Answer:
DF, DE, EF
Step-by-step explanation:
Nah dude, you got it. :)