Answer:
dc/dx = 0 when x = 20. hence fence is 20×40
Step-by-step explanation:
Given data:
Rectangular Area = 800 ft^2
three side material cost = $5 per ft
fourth side material cost is $15 per ft
let expensive side is x and other dimension assume to be y
Then cost is c
c = 5(x+ 2y) + 15 x
xy = 800, so y = 800/x
c =5(x+ 1600/x^2) + 15x
for minimum when dc/dx = 0





(2x-40)(2x+40) = 0
x = 20
dc/dx = 0 when x = 20. hence fence is 20×40
Answer:
Step-by-step explanation:
In order to determine if James and Paco earn different amounts of money per hour, you must find how much money they make in one hour.
James:
James makes $35.40 in 3 hours. So, in 1 hour, he would make 35.40/3 = 11.8.
James makes $11.80 an hour.
Therefore, his equation would be d = 11.8h
Paco:
Paco makes $24.00 in 2 hours. So, in 1 hour, he would make 24/2 = 12.
Paco makes $12.00 an hour.
Therefore, his equation would be d = 12h
Hence, Paco and James make different amounts of money. Paco makes 20 cents, or $0.20, more than James.
Answer:
a² + 2ab + b²
Explanation:
⇒ (a + b)²
⇒ (a + b)(a + b)
[apply distributive method: (a + b) (c + d) = ac + ad + bc + bd]
⇒ a² + ab + ab + b²
⇒ a² + 2ab + b²
Answer:
The given equation will have value less than 100 whenever the value of b is greater than 12.89
Step-by-step explanation:
For the given equation, p(b) = 520 ×
to have a value less than 100 we can establish inequality as:
p(b) < 100
or, 520 ×
< 100
or,
×
< 
or,
< 
or, ㏒ (
) < ㏒ (
)
or, b× ㏒ 0.88 < ㏒ (
)
or,
< b
or, 12.89 < b
Hence for the equation to have value less than 100, b must be greater than 12.89.