Answer:
- 2 ÷ 3 = - 0.667 and 3 ÷ (- 2) = - 1.5.
- 12 ÷ (- 4) = 3 and - 4 ÷ (- 12) = 0.333.
16 ÷ 8 = 2 and 8 ÷ 16 = 0.5.
Division is not commutative.
Step-by-step explanation:
We have to find the quotients in each group as given in the attachment.
- 2 ÷ 3 = - 0.667 and 3 ÷ (- 2) = - 1.5. So, - 2 ÷ 3 ≠ 3 ÷ (- 2)
- 12 ÷ (- 4) = 3 and - 4 ÷ (- 12) = 0.333. So, - 12 ÷ (- 4) ≠ - 4 ÷ (- 12)
Now, 16 ÷ 8 = 2 and 8 ÷ 16 = 0.5. So, 16 ÷ 8 ≠ 8 ÷ 16
From the above examples, we can say division is not commutative. (Answer)
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![\left(x^4y^4\right)^\frac{1}{3}=\left(x^4\right)^\frac{1}{3}\left(y^4\right)^\frac{1}{3}=x^{4\cdot\frac{1}{3}}y^{4\cdot\frac{1}{3}}=x^\frac{4}{3}y^\frac{4}{3}=x^{1+\frac{1}{3}}y^{1+\frac{1}{3}}\\\\=x^1x^\frac{1}{3}y^1y^\frac{1}{3}=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}](https://tex.z-dn.net/?f=%5Cleft%28x%5E4y%5E4%5Cright%29%5E%5Cfrac%7B1%7D%7B3%7D%3D%5Cleft%28x%5E4%5Cright%29%5E%5Cfrac%7B1%7D%7B3%7D%5Cleft%28y%5E4%5Cright%29%5E%5Cfrac%7B1%7D%7B3%7D%3Dx%5E%7B4%5Ccdot%5Cfrac%7B1%7D%7B3%7D%7Dy%5E%7B4%5Ccdot%5Cfrac%7B1%7D%7B3%7D%7D%3Dx%5E%5Cfrac%7B4%7D%7B3%7Dy%5E%5Cfrac%7B4%7D%7B3%7D%3Dx%5E%7B1%2B%5Cfrac%7B1%7D%7B3%7D%7Dy%5E%7B1%2B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3Dx%5E1x%5E%5Cfrac%7B1%7D%7B3%7Dy%5E1y%5E%5Cfrac%7B1%7D%7B3%7D%3Dx%5Csqrt%5B3%5D%7Bx%7D%5Ccdot%20y%5Csqrt%5B3%5Dy%3Dxy%5Csqrt%5B3%5D%7Bxy%7D)
For an expression to have a rational equivalent when solved, the denominator should not be equal to 0. If the denominator is equal to zero, the expression becomes indefinite or undetermined. This is the reason for the restriction of the use of x being equal to 3 or -10.
In the given above, we can see that the expression x-3 appears both in the numerator and denominator. Hence, this can be cancelled. We are then left with the expression,
(x + 5) / (x + 10)
Therefore, the answer to this item is letter C.
The 3rd one because you have to get the y-intercept also which is -6
