D. No because two points with the same x value have different y values. A function cannot have one x equal different y
Answer:
The 24 pack for 24 dollars!
Step-by-step explanation:
This is because you see that 12 is 1/2 of 24 and if you do 13x2 you get 26$ so for the 12 pack if you double it you will be paying 2$ more than if you got the OG 24 pack
Answer:
(3+d)(9-3d+d^2)
Step-by-step explanation:
a^3 + b^3 = (a+b)(a^2-ab+b^2)
a= 3
b= d
Answer:
![a. \ \dfrac{625 \cdot m}{27 \cdot n^{11}}](https://tex.z-dn.net/?f=a.%20%5C%20%20%5Cdfrac%7B625%20%5Ccdot%20m%7D%7B27%20%5Ccdot%20n%5E%7B11%7D%7D)
![b. \ \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}](https://tex.z-dn.net/?f=b.%20%5C%20%20%5Cdfrac%7Bx%5E%7B3%20%5Ccdot%20m%20-%202%7D%7D%7By%5E%7B%203%20%2B%20n%7D%7D)
Step-by-step explanation:
The question relates with rules of indices
(a) The give expression is presented as follows;
![\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}](https://tex.z-dn.net/?f=%5Cdfrac%7Bm%5E3%20%5Ctimes%20%5Cleft%20%28n%5E%7B-2%7D%20%5Cright%20%29%5E4%20%5Ctimes%20%285%20%5Ccdot%20m%29%5E4%7D%7B%5Cleft%20%283%20%5Ccdot%20m%5E2%20%5Ccdot%20n%20%5Cright%20%29%5E3%7D)
By expanding the expression, we get;
![\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}](https://tex.z-dn.net/?f=%5Cdfrac%7Bm%5E3%20%5Ctimes%20n%5E%7B-8%7D%20%5Ctimes%205%5E4%20%5Ctimes%20m%5E4%7D%7B%5Cleft%203%5E3%20%5Ctimes%20m%5E6%20%5Ctimes%20n%5E3%7D)
Collecting like terms gives;
![\dfrac{m^{(3 + 4 - 6)} \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bm%5E%7B%283%20%2B%204%20-%206%29%7D%20%20%5Ctimes%205%5E4%7D%7B%203%5E3%20%5Ctimes%20n%5E%7B3%20%2B%208%7D%7D%20%3D%20%5Cdfrac%7B625%20%5Ccdot%20m%7D%7B27%20%5Ccdot%20n%5E%7B11%7D%7D)
![\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bm%5E3%20%5Ctimes%20%5Cleft%20%28n%5E%7B-2%7D%20%5Cright%20%29%5E4%20%5Ctimes%20%285%20%5Ccdot%20m%29%5E4%7D%7B%5Cleft%20%283%20%5Ccdot%20m%5E2%20%5Ccdot%20n%20%5Cright%20%29%5E3%7D%3D%20%5Cdfrac%7B625%20%5Ccdot%20m%7D%7B27%20%5Ccdot%20n%5E%7B11%7D%7D)
(b) The given expression is presented as follows;
![x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4](https://tex.z-dn.net/?f=x%5E%7B3%20%5Ccdot%20m%20%2B%202%7D%20%5Ctimes%20%5Cleft%20%28y%5E%7Bn%20-%201%7D%20%5Cright%20%29%5E3%20%5Cdiv%20%28x%20%5Ccdot%20y%5En%29%5E4)
Therefore, we get;
![x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n}](https://tex.z-dn.net/?f=x%5E%7B3%20%5Ccdot%20m%20%2B%202%7D%20%5Ctimes%20%5Cleft%20%28y%5E%7Bn%20-%201%7D%20%5Cright%20%29%5E3%20%5Ctimes%20%20x%5E%7B-4%7D%20%5Ctimes%20y%5E%7B-4%20%5Ccdot%20n%7D)
Collecting like terms gives;
![x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )](https://tex.z-dn.net/?f=x%5E%7B3%20%5Ccdot%20m%20%2B%202%20-%204%7D%20%5Ctimes%20%5Cleft%20%28y%5E%7B3%20%5Ccdot%20n%20-%203%20-4%20%5Ccdot%20n%7D%7D%20%5Cright%20%29%20%3D%20x%5E%7B3%20%5Ccdot%20m%20-%202%7D%20%5Ctimes%20%5Cleft%20%28y%5E%7B%20-%203%20-n%7D%7D%20%5Cright%20%29%20%3D%20x%5E%7B3%20%5Ccdot%20m%20-%202%7D%20%5Cdiv%20%5Cleft%20%28y%5E%7B%203%20%2B%20n%7D%7D%20%5Cright%20%29)
![x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}](https://tex.z-dn.net/?f=x%5E%7B3%20%5Ccdot%20m%20-%202%7D%20%5Cdiv%20%5Cleft%20%28y%5E%7B%203%20%2B%20n%7D%7D%20%5Cright%20%29%20%3D%20%5Cdfrac%7Bx%5E%7B3%20%5Ccdot%20m%20-%202%7D%7D%7By%5E%7B%203%20%2B%20n%7D%7D)
![x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}](https://tex.z-dn.net/?f=x%5E%7B3%20%5Ccdot%20m%20%2B%202%7D%20%5Ctimes%20%5Cleft%20%28y%5E%7Bn%20-%201%7D%20%5Cright%20%29%5E3%20%5Ctimes%20%20x%5E%7B-4%7D%20%5Ctimes%20y%5E%7B-4%20%5Ccdot%20n%7D%20%3D%5Cdfrac%7Bx%5E%7B3%20%5Ccdot%20m%20-%202%7D%7D%7By%5E%7B%203%20%2B%20n%7D%7D)
100000000 needed to take up space to give you answr