Answer:
Step-by-step explanation:
question
Answer:
D)4x + 6/(x + 1)(x - 1)
Step-by-step explanation:
A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle
![p=2(l+w)](https://tex.z-dn.net/?f=p%3D2%28l%2Bw%29)
where
is the perimeter
is the length
is the width
We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so
and
.
Replacing values:
![p=2(l+w)](https://tex.z-dn.net/?f=p%3D2%28l%2Bw%29)
![p=2(\frac{2}{x+1} +\frac{5}{x^2-1})](https://tex.z-dn.net/?f=p%3D2%28%5Cfrac%7B2%7D%7Bx%2B1%7D%20%2B%5Cfrac%7B5%7D%7Bx%5E2-1%7D%29)
Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula
where
is the first term and
is the second term. We can infer that
and
. So,
. Replacing that:
![p=2(\frac{2}{x+1} +\frac{5}{x^2-1})](https://tex.z-dn.net/?f=p%3D2%28%5Cfrac%7B2%7D%7Bx%2B1%7D%20%2B%5Cfrac%7B5%7D%7Bx%5E2-1%7D%29)
![p=2(\frac{2}{x+1} +\frac{5}{(x+1)(x-1})](https://tex.z-dn.net/?f=p%3D2%28%5Cfrac%7B2%7D%7Bx%2B1%7D%20%2B%5Cfrac%7B5%7D%7B%28x%2B1%29%28x-1%7D%29)
We can see that the common denominator of our fractions is
. Now we can simplify our fraction using the common denominator:
![p=2(\frac{2(x-1)+5}{(x+1)(x-1)} )](https://tex.z-dn.net/?f=p%3D2%28%5Cfrac%7B2%28x-1%29%2B5%7D%7B%28x%2B1%29%28x-1%29%7D%20%29)
![p=2(\frac{2x-2+5}{(x+1)(x-1)} )](https://tex.z-dn.net/?f=p%3D2%28%5Cfrac%7B2x-2%2B5%7D%7B%28x%2B1%29%28x-1%29%7D%20%29)
![p=2(\frac{2x+3}{(x+1)(x-1)} )](https://tex.z-dn.net/?f=p%3D2%28%5Cfrac%7B2x%2B3%7D%7B%28x%2B1%29%28x-1%29%7D%20%29)
![p=\frac{4x+6}{(x+1)(x-1)}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B4x%2B6%7D%7B%28x%2B1%29%28x-1%29%7D%20)
We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).
Answer:
She is correct because they need to find how much is the discounted price, which is 3. So to see what percentage it is, they need to see how much 3 is worth in comparison to 15. If we spilt 15 into 5 parts to make every part worth 20%, the answer would be 3. Thus Arianna is correct.
Step-by-step explanation:
The negatives cancel to form a positive. The answer is
The correct answer to your question is:
D. The volume of the cylinder is 8 times the volume of the smaller cylinder.