Given that y varies inversely as x then:
y=k/x
where
k is the constant of proportionality given by:
k=yk
but
y=27 when x=2
thus
k=27×2=54
hence the function will be:
y=54x
The value of x when y is 9 will be:
9=54x
thus
x=9/54
x=1/6
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).
.125 Iknow this as a fact ._.
Answer:
64.8
Step-by-step explanation: