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).
Answer:
B)
.
Step-by-step explanation:
The vertex form of the equation is given by
.
We plug in the vertex to obtain:
.
Since the graph passes through (5,5) and (9,5), they must satisfy its equation.
.
.

Divide both sides by 4.

Therefore the equation is:
.
Im guessing its A hope it helped
Step-by-step explanation:
Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.
Example: (1, -2)
-2 < 0.5(1) + 2
-2 < 0.5 + 2
-2 < 2.5
True, -2 is less than 2.5.
Another Example: (-2, 1)
1 < 0.5(-2) + 2
1 < -1 + 2
1 < 1
False, 1 is not less than itself.
Answer:
a. n= 1x +7
b. n= 12 + 4x
Step-by-step explanation: