Answer:
![\large\boxed{2\sqrt[5]{64x^6y}=4x\sqrt[5]{2xy}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B2%5Csqrt%5B5%5D%7B64x%5E6y%7D%3D4x%5Csqrt%5B5%5D%7B2xy%7D%7D)
Step-by-step explanation:
![\text{Use}\\\sqrt[n]{a^n}=a\\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\a^n\cdot a^m=a^{nm}\\----------------\\\\2\sqrt[5]{64x^6y}=2\sqrt[5]{64}\cdot\sqrt[5]{x^6}\cdot\sqrt[5]{y}=(*)\\\\\sqrt[5]{64}=\sqrt[5]{32\cdot2}=\sqrt[5]{32}\cdot\sqrt[5]2=\sqrt[5]{2^5}\cdot\sqrt[5]2=2\sqrt[5]2\\\sqrt[5]{x^6}=\sqrt[5]{x^{5+1}}=\sqrt[5]{x^5\cdot x^1}=\sqrt[5]{x^5}\cdot\sqrt[5]{x}=x\sqrt[5]{x}\\\\(*)=2\cdot2\sqrt[5]2\cdot x\sqrt[5]{x}\cdot\sqrt[5]{y}=4x\sqrt[5]{2xy}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%5C%5C%20%5Csqrt%5Bn%5D%7Bab%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5Ccdot%5Csqrt%5Bn%5D%7Bb%7D%5C%5Ca%5En%5Ccdot%20a%5Em%3Da%5E%7Bnm%7D%5C%5C----------------%5C%5C%5C%5C2%5Csqrt%5B5%5D%7B64x%5E6y%7D%3D2%5Csqrt%5B5%5D%7B64%7D%5Ccdot%5Csqrt%5B5%5D%7Bx%5E6%7D%5Ccdot%5Csqrt%5B5%5D%7By%7D%3D%28%2A%29%5C%5C%5C%5C%5Csqrt%5B5%5D%7B64%7D%3D%5Csqrt%5B5%5D%7B32%5Ccdot2%7D%3D%5Csqrt%5B5%5D%7B32%7D%5Ccdot%5Csqrt%5B5%5D2%3D%5Csqrt%5B5%5D%7B2%5E5%7D%5Ccdot%5Csqrt%5B5%5D2%3D2%5Csqrt%5B5%5D2%5C%5C%5Csqrt%5B5%5D%7Bx%5E6%7D%3D%5Csqrt%5B5%5D%7Bx%5E%7B5%2B1%7D%7D%3D%5Csqrt%5B5%5D%7Bx%5E5%5Ccdot%20x%5E1%7D%3D%5Csqrt%5B5%5D%7Bx%5E5%7D%5Ccdot%5Csqrt%5B5%5D%7Bx%7D%3Dx%5Csqrt%5B5%5D%7Bx%7D%5C%5C%5C%5C%28%2A%29%3D2%5Ccdot2%5Csqrt%5B5%5D2%5Ccdot%20x%5Csqrt%5B5%5D%7Bx%7D%5Ccdot%5Csqrt%5B5%5D%7By%7D%3D4x%5Csqrt%5B5%5D%7B2xy%7D)
=-3 to the power 3 - 5(-3(-2)
=-27-5(6)
=-27-30
=-57
Answer:
The answer is below
Step-by-step explanation:
The domain of a function is the set of all independent variables for the function while the range of a function is the set of all possible dependent variables.
Let x represent the number of newspaper lines and f(x) be the charges for advertisement. x is the independent variable and f(x) is the dependent variable.
Since the newspaper charges $3 per line for the first 4 lines plus a $20 fee to advertise, the function is given as:
f(x) = 3x + 20 for 0 < x < 4
But for more than four lines, the charges is given as:
f(x) = 12 + 20 = 32 4 < x < ∞
Therefore, the domain and range of the function is:
Domain = (0, ∞)
Range = (20, 32}
