4x - 5
Or what kind of an answer are you looking for?
Answer:
![\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%207%5Csqrt%7B18y%7D%20%3D%2021%28y%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%29%282%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%29)
Step-by-step explanation:
The question is poorly formatted.
Given
![\sqrt[3]{2y^3} * 7\sqrt{18y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%207%5Csqrt%7B18y%7D)
Required
Derive an equivalent expression
![\sqrt[3]{2y^3} * 7\sqrt{18y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%207%5Csqrt%7B18y%7D)
Express 18 as 9 * 2
![\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%207%5Csqrt%7B9%20%2A%202y%7D)
Split the expression as follows:
![\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%207%5Csqrt%7B9%7D%20%2A%20%5Csqrt%7B2y%7D)
Take positive square root of 9
![\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%207%2A3%20%2A%20%5Csqrt%7B2y%7D)
![\sqrt[3]{2y^3} * 21 * \sqrt{2y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%2021%20%2A%20%5Csqrt%7B2y%7D)
![21*\sqrt[3]{2y^3} * \sqrt{2y}](https://tex.z-dn.net/?f=21%2A%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%20%20%5Csqrt%7B2y%7D)
The cube root can be rewritten to give:
![21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}](https://tex.z-dn.net/?f=21%2A%5Csqrt%5B3%5D%7B2%7D%2A%5Csqrt%5B3%5D%7By%5E3%7D%20%2A%20%20%5Csqrt%7B2y%7D)
![\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E3%7D%20%3D%20y%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20y)
So, we have:
![21*\sqrt[3]{2} * y * \sqrt{2y}](https://tex.z-dn.net/?f=21%2A%5Csqrt%5B3%5D%7B2%7D%20%2A%20y%20%2A%20%20%5Csqrt%7B2y%7D)
Rewrite as:
![21y *\sqrt[3]{2} * \sqrt{2y}](https://tex.z-dn.net/?f=21y%20%2A%5Csqrt%5B3%5D%7B2%7D%20%20%2A%20%20%5Csqrt%7B2y%7D)
Split 
![21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}](https://tex.z-dn.net/?f=21y%20%2A%5Csqrt%5B3%5D%7B2%7D%20%20%2A%20%20%5Csqrt%7B2%7D%20%2A%20%5Csqrt%7By%7D)
Collect Like Terms
![21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}](https://tex.z-dn.net/?f=21y%2A%5Csqrt%7By%7D%20%2A%5Csqrt%5B3%5D%7B2%7D%20%20%2A%20%20%5Csqrt%7B2%7D)
Represent in index form

Apply law of indices




Hence:
![\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2y%5E3%7D%20%2A%207%5Csqrt%7B18y%7D%20%3D%2021%28y%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%29%282%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%29)
Answer:
see explanation
Step-by-step explanation:
using the cofunction identity
sin x = cos(90 - x), hence
sin75° = cos(90 - 75)° = cos15°
Answer:
-13
Step-by-step explanation:
An integer is an whole number without decimals and fractions and can be negative, positive or 0.
In this scenario, the quarterback is losing 13 yards. The loss means that the 13 is negative, because positive would mean that he gains 13 yards. Therefore the loss is represented by the integer -13.
Hope this helped!
Answer:
T.
Step-by-step explanation:
The ordered pair (-2,-1) can also be represented by (x,y). To check the inequality we can substitute the values into the given inequality.




After substituting the values, we then have a clear view that -1 is Greater than -3.1622.