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
Looking at <span>4x3 + x2 – 8x – 2, I see immediately that x^2 can be factored out of the first 2 terms => 4x^2(x+1)
and -2 out of the last 2 terms => -2(4x+1).
Notice how the factor (4x+1) shows up twice.
We can factor this (4x+1) out, obtaining (x^2 - 2) (4x+1). These are the desired factors, found "by grouping."
</span>
<h3>
Answer: k^2*p^6</h3>
Work Shown:
s = length of each side
s = kp^3
A = area of square
A = s^2
A = s*s
A = (kp^3)*(kp^3)
A = (k*k)*(p^3*p^3)
A = k^2*p^6
To multiply the terms, you add the exponents. Think of k as k^1, so k*k = k^1*k^1 = k^(1+1) = k^2
A)
a+b=180 and a=2(b-30) using this in the first equation gives you:
2(b-30)+b=180
2b-60+b=180
3b-60=180
3b=240
b=80 so a=100
Andre's score was 100 and Brandon's score was 80.
b)
100x-200>50x-75 subtract 50x from both sides
50x-200>-75 add 200 to both sides
50x>125 divide both sides by 50
x>2.5
Answer: here's the answer in the picture. hope this helps. God bless you. can i get brainliest??
