Answer:
The answer to your question is: -2x⁸y¹²
Step-by-step explanation:
Simplify ![\sqrt[3]{-8x^{24}y^{36}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-8x%5E%7B24%7Dy%5E%7B36%7D%7D)
Find the prime factors of -8
- 8 = -2 x -2 x -2 = -2³
Express the cubic root as power
Simplify -2³/³ x²⁴/³ y³⁶/3
-2x⁸y¹²
Answer:
-2; 16
Step-by-step explanation:
Rewrite the equation
as:
![x^2-14x+31-63=0\\ \\x^2-14x-32=0](https://tex.z-dn.net/?f=x%5E2-14x%2B31-63%3D0%5C%5C%20%5C%5Cx%5E2-14x-32%3D0)
Now use the quadratic formula:
![D=b^2-4ac\\ \\D=(-14)^2-4\cdot 1\cdot (-32)\ \ [a=1,\ b=-14,\ c=-32]\\ \\D=196+128=324=18^2](https://tex.z-dn.net/?f=D%3Db%5E2-4ac%5C%5C%20%5C%5CD%3D%28-14%29%5E2-4%5Ccdot%201%5Ccdot%20%28-32%29%5C%20%5C%20%5Ba%3D1%2C%5C%20b%3D-14%2C%5C%20c%3D-32%5D%5C%5C%20%5C%5CD%3D196%2B128%3D324%3D18%5E2)
Now
![x_{1,2}=\dfrac{-b\pm\sqrt{D}}{2a}\\ \\x_{1,2}=\dfrac{-(-14)\pm\sqrt{18^2}}{2\cdot 1}=\dfrac{14\pm18}{2}=\dfrac{-4}{2},\ \dfrac{32}{2}=-2,\ 16](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7BD%7D%7D%7B2a%7D%5C%5C%20%5C%5Cx_%7B1%2C2%7D%3D%5Cdfrac%7B-%28-14%29%5Cpm%5Csqrt%7B18%5E2%7D%7D%7B2%5Ccdot%201%7D%3D%5Cdfrac%7B14%5Cpm18%7D%7B2%7D%3D%5Cdfrac%7B-4%7D%7B2%7D%2C%5C%20%5Cdfrac%7B32%7D%7B2%7D%3D-2%2C%5C%2016)
Hey there! I'm happy to help!
We have 24 total beads, and we have 6 red ones. This gives us a probability of 6/24, which simplifies to 1/4. However, we do this twice with replacement (we put the bead back, so the probability stays the same), so we multiply that probability twice to find the probability of it happening twice.
1/4×1/4=1/16
Therefore, the probability that both beads are red is 1/16.
Have a wonderful day! :D
Combine the like terms in this expression and write your results in the simplest form: <span>3x – y + 4x + 6 – 2y
7x - 3y + 6 (answer)</span>
Answer:
![29](https://tex.z-dn.net/?f=29)
Step-by-step explanation:
![20-(6 \times 4)+10+(9 \times 3)-4](https://tex.z-dn.net/?f=20-%286%20%5Ctimes%204%29%2B10%2B%289%20%5Ctimes%203%29-4)
![20-(24)+10+(27)-4](https://tex.z-dn.net/?f=20-%2824%29%2B10%2B%2827%29-4)
![20-24+10+27-4](https://tex.z-dn.net/?f=20-24%2B10%2B27-4)
![10+27+20-24-4](https://tex.z-dn.net/?f=10%2B27%2B20-24-4)
![57-28](https://tex.z-dn.net/?f=57-28)
![=29](https://tex.z-dn.net/?f=%3D29)