The area is:
A = x * y = 20000
The cost function is:
C = 2.50 (2x) +3.50 (2y)
Rewriting we have:
C = 5x + 7y
Writing as a function of x we have:
C = 5x + 7 (20000 / x)
Rewriting:
C (x) = 5x + 140000 / x
We derive:
C '(x) = 5-140000 / x ^ 2
We equal zero and clear x:
0 = 5-140000 / x ^ 2
140000 / x ^ 2 = 5
x ^ 2 = 140000/5
x = root (140000/5)
x = 167.33 feet
Therefore the cost is:
C (167.33) = 5 * (167.33) + 7 * (20000 / 167.33)
C (167.33) = 1673.32 $
Answer:
The cost of the least expensive fence is:
$ 1673.32
Answer: The function that is represented by the equation y = negative 10 x + 6 has a steeper slope and a greater y-intercept.
Step-by-step explanation: I took the unit test on edge hoped this helped <3
Answer:
∠ 3 = 55°
Step-by-step explanation:
∠ 2 and ∠ 7 are corresponding angles and are congruent, then
5x - 60 = 3x + 14 ( subtract 3x from both sides )
2x - 60 = 14 ( add 60 to both sides )
2x = 74 ( divide both sides by 2 )
x = 37
∠ 2 = 3x + 14 = 3(37) + 14 = 111 + 14 = 125°
∠ 2 and ∠ 3 are adjacent angles on a straight line and sum to 180° , so
125° + ∠ 3 = 180° ( subtract 125° from both sides )
∠ 3 = 55°
Answer:
1/25
Step-by-step explanation:
5^-2
We know that a^ -b = 1/ a^b
5^-2 = 1/ 5^2
= 1/25
