Usually you will see something like g(x) or f(x)
domain means all the x's
so, think of g(4) meaning g(x=4) and g(4 in the domain).
look for 4 on the domain side
you know that f(x) = y
range means all the y's
so its basically saying, look on the domain side for 4 and see what comes out (or =) on the range side.
in this case, it's B) 5
Answer= 0.00892857142
Explanation= it is either that or some whole number with half’s you didn’t give a picture or real detail so it is hard to know what grade level you would be at because it could be something totally different it it was in a certain lesson anyways I hope this helped!
The first thing we should do is write the functions.
For the area we have:
A = w * h = 20000 feet ^ 2
The price is:
Cost = (4 * 2 * h + 2 * 2 * w)
Substitute for h ::
C (w) = (4 * 2 * (20,000 / w) + 2 * 2w)
Rewrite we have:
C (w) = 160,000 / w + 4w
Take the derivative:
C '(w) = 160000 (-1 / w ^ 2) + 4
We equal zero and clear w:
0 = 160000 (-1 / w ^ 2) + 4
160000 / w ^ 2 = 4
w ^ 2 = 40000
w = 200 (approximately)
width = 200 ft; so cost is 2 * ($ 4) 200 = $ 1600
height = 20000/200 = 100 ft; so cost is 2 ($ 2) 100 = $ 400
Total cost = $ 2000
Answer:
The cost of the least expensive fence is:
Total cost = $ 2000
The distance Tim drives is 300 kilometers
Average speed= 80 km
Time= 3 hours 45 minutes (15/4 hours)
Distance= Average speed/time
= 80 × 15/4
= 1200/4
= 300 kilometers
Hence the distance Tim drives is 300 kilometres
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