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

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:


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:


We can see that the common denominator of our fractions is
. Now we can simplify our fraction using the common denominator:




We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).
4x+5=12-2x
Answer: x=1.1666666 and so on
Answer:
The answer is B because the numbers in the geometric sequence are being multiplied by 2.
Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting
, we get




Divide both sides by 1.906624.



Therefore, the principal value is about 4563.04.