Answer: the effect is to bring the graph of the original cost function, f(x) 12 units downward.
Explanation:
1) Being the original cost function f(x) = ax + b, if property taxes, which are part of the fixed costs, are decreased by $12,000 per year, the new cost function will be:
g(x) = ax + b - 12 ↔ note that I use 12 and not 12,000 thousands, because b and a are told to represent costs in thousands of dollars.
Therefore, g(x) = f(x) - 12. Meaning that the effect is to shift the graph of the original cost function, f(x) 12 units downward.
Answer:
90π units²
Step-by-step explanation:
(refer to attached)
Total Surface are off a right cylinder = area of its ends + area of curved surface
Given radius, r = 3 units and height, h = 12 units
Area of 2 ends,
= Area of 2 circles
= 2 x πr²
= 2π (3²)
= 2π (9)
=18π units²
Area of curved surface,
= 2πrh
= 2π(3)(12)
= 72π units²
Hence,
Surface area = 18π + 72π = 90π units²
(x/8) + 3 = 27 <===ur equation
9.125
Are you sure its not 72/8?
Because then it would be 9
1/2 + 1/3 + 1/4 - x = - 2
6/12 + 4/12 + 3/12 - x = - 2
6 + 4 + 3 / 12 - x = - 2
13/12 - x = - 2
x = 13/12 + 2
x = 13/12 + 24/12
x = 37/12 Or x = 3 1/12