Answer:
The minimum average cost is $643.75
It should be built 62.5 machines to achieve the minimum average cost
Step-by-step explanation:
The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800
To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost
∵ C = 0.04x² - 5x + 800
- Differentiate C with respect to x
∴ 
∴ 
- Equate
by 0
∴ 0.08x - 5 = 0
- Add 5 to both sides
∴ 0.08x = 5
- Divide both sides by 0.08
∴ x = 62.5
That means the minimum average cost is at x = 62.5
Substitute the value of x in C to find the minimum average cost
∵ C = 0.04(62.5)² - 5(62.5) + 800
∴ C = 643.75
∵ C is the average cost
∴ The minimum average cost is $643.75
∵ x is the number of the machines
∴ It should be built 62.5 machines to achieve the minimum
average cost
Answer:
<u>~Senpi boi here~</u>
Step-by-step explanation:
Multiply all terms by x and cancel:
x+2x+1=1x
3x+1=x(Simplify both sides of the equation)
3x+1−x=x−x(Subtract x from both sides)
2x+1=0
2x+1−1=0−1(Subtract 1 from both sides)
2x=−1
2x
2
=
−1
2
(Divide both sides by 2)
x=
−1
2
Check answers. (Plug them in to make sure they work.)
x=
−1
2
(Works in original equation)
<u>Answer:</u>
<u>x= −1/2</u>
<u>(</u>Hope this helps!)
the length of the side of this square is
cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=
a²=32
doing square root on both side

a=±
a=±2*2
Since side of square is always positive so
a=4
or 5.65 cm