Answer:
Choice B
Step-by-step explanation:
Given radical expression:
![\sqrt[4]{1296 {x}^{16} {y}^{12} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B1296%20%7Bx%7D%5E%7B16%7D%20%20%7By%7D%5E%7B12%7D%20%7D%20)
To Find:
The Simpler form of this expression
Soln:
![= \sqrt[4]{1296 {x}^{16} {y}^{12} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%5B4%5D%7B1296%20%7Bx%7D%5E%7B16%7D%20%20%7By%7D%5E%7B12%7D%20%7D%20)
We could re-write the given expression, according to the law of exponents:
![= \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%5Csqrt%5B4%5D%7B%286x%20%7B%7D%5E%7B4%7Dy%20%7B%7D%5E%7B3%7D%29%20%20%7B%7D%5E%7B4%7D%20%20%7D%20)
Now we need to bring terms out of the radical as:
![\tt = | 6x { }^{4} y {}^{3} |](https://tex.z-dn.net/?f=%20%5Ctt%20%3D%20%20%20%7C%206x%20%7B%20%7D%5E%7B4%7D%20y%20%7B%7D%5E%7B3%7D%20%20%7C%20)
Bring out 6x^4 from the absolute & put y^3 only in it:
![\tt = 6x {}^{4} |y {}^{3} |](https://tex.z-dn.net/?f=%20%5Ctt%20%3D%206x%20%7B%7D%5E%7B4%7D%20%20%7Cy%20%7B%7D%5E%7B3%7D%20%7C%20)
Choice B is accurate.
Answer:
the other person is wrong, its b, d, e, and f
Step-by-step explanation:
Answer:
Step-by-step explanation:
The minimum is at the vertex of this parabola because it opens up.
Now if (-4, 2) is the minimum then all the y values on the parabola must be > 2,
But we are given that y = -3 is on the graph ( the point (6,-3) - that is y < 2 here,
Therefore (-4, 2) cannot be the vertex .
Attached the solution with work shown.
Total no. of buttons = 300 + 700 + 1000
+ 500 = 2500
Possibility for a person to pick a pink button = 300/2500 = (3/25)%
Amount of pink buttons she can expect her friends to pick = 50(3/25) = 6
She can expect to make 6 pink barrettes.