Answer:
f(x) = (x-8) -5
My original answer was correct.
Answer:
C
Step-by-step explanation:
The triangle inequality theorem tells us that if two sides of a triangle are known (let it be side a and b), we can know the length of range of third side (side c). By:
a-b< c < a+b
So sides are given 29 and 40.
Sum is 29 + 40 = 69
Difference is 40 - 29 = 11
Hence, the third side would be BETWEEN 11 and 69
C is the correct choice.
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:
86°
Step-by-step explanation:
(a+c)/2=86
in this case, a=c
so,
2c/2=86
or, c=86