Answer:
Step-by-step explanation:
Given that: The perimeter of a square is: 32x - 12.8
As we all know that, the formula to find the perimeter of a square is:
Sum of the 4 side = 4* length of the side
=> the length of 1 side: The perimeter of a square / 4
In this situation, we have length of 1 side side is:
(32x - 12.8) / 4
= 32/4x - 12.8/4
= 8x - 3.2
The 1st equivalent expressions for the perimeter: 4 *(8x - 3.2)
The 2nd equivalent expressions for the perimeter: (8x - 3.2) + (8x - 3.2) + (8x - 3.2) + (8x - 3.2)
The 3rd equivalent expressions for the perimeter: 2*(8x - 3.2) + 2*(8x - 3.2)
Answer:
The value of q that maximize the profit is q=200 units
Step-by-step explanation:
we know that
The profit is equal to the revenue minus the cost
we have
---> the revenue
---> the cost
The profit P(q) is equal to

substitute the given values



This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
The x-coordinate of the vertex represent the value of q that maximize the profit
The y-coordinate of the vertex represent the maximum profit
using a graphing tool
Graph the quadratic equation
The vertex is the point (200,-120)
see the attached figure
therefore
The value of q that maximize the profit is q=200 units
Answer:
The perimeter is 
Step-by-step explanation:
we know that
A parallelogram is a quadrilateral where both pairs of opposite sides are parallel and equal
so
In this problem
PS=QR ----> equation A
SR=PQ ----> equation B
The perimeter of parallelogram PQRS is
P=PQ+QR+SR+PS ----> equation C
substitute equation A and equation B in equation C

we have


substitute in the formula of perimeter


Answer:
a different inverse function
Step-by-step explanation:
If
then
is a different inverse function.
__
The second (inverse) function is the first reflected over the y-axis.