Answer:
The equilibrium point is at x = 6
Step-by-step explanation:
Given


Required
Determine the equilibrium point
The equilibrium point is determined by

Substitute values for Demand and Supply

Cross Multiply


Take positive square root of both sides

Hence;
<em>The equilibrium point is at x = 6</em>
Answer:
The perimeter is 7 dm
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let
c------> the length of the third side
case a)
1+c>3
c>2 dm
case b)
1+3> c
4 > c
rewrite
c<4 dm
The solution for c is the interval------> (2,4)
therefore
the value of c must be equal to
c=3 dm (because is an integer)
The perimeter is equal to
P=1+3+3=7 dm
Answer:
0.343
Step by step explanation:
0. 3 4 3
8 2. 7 5 0
− 0
2 7
− 2 4
3 5
− 3 2
3 0
− 2 4
6
Step-by-step explanation:
A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.
Perimeter of rectangle (3 sides)= 60 feet
Let 'x' be the width of the wall

Formula for the area of the rectangle is

Replace the length we got using perimeter

To find out the maximum are we take derivative

find out second derivative to check whether x=15 is maximum

second derivative is negative
So, Maximum area at x=15
To find maximum area we plug in 15 for x in A(x)

So, maximum area is 225 square feet
Answer:
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Step-by-step explanation: