SOLUTION
If the table represents an inverse variation, it means that y is inversely proportional to x, written as
Removing the proportionality sign and introducing a constant k, we have
In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have
So, if it's an inverse variation, the relationship would be
In the second column, x = -2 and y = 7.
Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation
We have
Since we got y = 7, the relationship is therefore an inverse variation.
The constant k = -14
The equation for the inverse variation is
Answer:
Its A
Step-by-step explanation:
First, you would have to multiply the exponents 2 and 3. 2x3=6
so the most simplified answer would have to be 4c^6
Answer:
4(3n+2) or 12n+8
Step-by-step explanation:
Given expression is:
The numerator of the fraction will be multiplied with 9n^2- 4
So, Multiplication will give us:
We can simplify the expression before multiplication.
The numerator will be broken down using the formula:
![a^2 - b^2 = (a+b)(a-b)\\So,\\= \frac{8[(3n)^2 - (2)^2]}{6n-4}\\ = \frac{8(3n-2)(3n+2)}{6n-4}](https://tex.z-dn.net/?f=a%5E2%20-%20b%5E2%20%3D%20%28a%2Bb%29%28a-b%29%5C%5CSo%2C%5C%5C%3D%20%5Cfrac%7B8%5B%283n%29%5E2%20-%20%282%29%5E2%5D%7D%7B6n-4%7D%5C%5C%20%3D%20%5Cfrac%7B8%283n-2%29%283n%2B2%29%7D%7B6n-4%7D)
We can take 2 as common factor from denominator
Hence the product is 4(3n+2) or 12n+8 ..
Answer:
Step-by-step explanation:
(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:
r 3x - 1
(-----)(x) = ----------
s 2x + 1
