Answer:

Step-by-step explanation:


Answer:
5 i think
Step-by-step explanation:
im doing the test ill come back and tell you if its right
The correct answer is A.
The independent variable is time and the dependent variable is distance; this means the slope tells us how far she goes per minute. Since the slope is negative and we are referring to her distance from her house, this means the distance from her house is decreasing, which means she is getting closer to her house.
Answer:
The simplest radical form of the cubic root is ![3x^2y^4\sqrt[3]{2x}](https://tex.z-dn.net/?f=3x%5E2y%5E4%5Csqrt%5B3%5D%7B2x%7D)
Step-by-step explanation:
Cube root of 54x^8y^12
That is:
![\sqrt[3]{54x^8y^12}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54x%5E8y%5E12%7D)
Can be simplified as:
![\sqrt[3]{54x^8y^12} = \sqrt[3]{54}\sqrt[3]{x^8}\sqrt[3]{y^12}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54x%5E8y%5E12%7D%20%3D%20%5Csqrt%5B3%5D%7B54%7D%5Csqrt%5B3%5D%7Bx%5E8%7D%5Csqrt%5B3%5D%7By%5E12%7D)
We find each separate simplification, and multiply them:
Cubic root of 54:

So
![\sqrt[3]{54} = \sqrt[3]{2*3^3} = 3\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54%7D%20%3D%20%5Csqrt%5B3%5D%7B2%2A3%5E3%7D%20%3D%203%5Csqrt%5B3%5D%7B2%7D)
Cubic root of x^8
![\sqrt[3]{x^8} = \sqrt[3]{x^6*x^2} = x^2\sqrt[3]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E8%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E6%2Ax%5E2%7D%20%3D%20x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D)
Cubic root of y^12
![\sqrt[3]{y^{12}} = y^4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D%20%3D%20y%5E4)
Multiplying all these terms:
![\sqrt[3]{54}\sqrt[3]{x^8}\sqrt[3]{y^12} = 3\sqrt[3]{2}(x^2\sqrt[3]{x^2})(y^4) = 3x^2y^4\sqrt[3]{2x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54%7D%5Csqrt%5B3%5D%7Bx%5E8%7D%5Csqrt%5B3%5D%7By%5E12%7D%20%3D%203%5Csqrt%5B3%5D%7B2%7D%28x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D%29%28y%5E4%29%20%3D%203x%5E2y%5E4%5Csqrt%5B3%5D%7B2x%7D)
The simplest radical form of the cubic root is ![3x^2y^4\sqrt[3]{2x}](https://tex.z-dn.net/?f=3x%5E2y%5E4%5Csqrt%5B3%5D%7B2x%7D)