If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
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In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
Answer:
240 sodas, 160 water, 100 juice
Step-by-step explanation:
multiply everything by 10
Answer:
D
Step-by-step explanation:
g(x) = (x+4)^2 +6
Who eats onion pizza?
anyway, make bases same
1/4 times 5/5=5/20
2/5 times 4/4=8/20
5/20 vs 8/20
8/20 i bigger
2/5 is bigger
actaully depends on how big th pizza is
cheese could be 12 feet wide and the onion could be 12 inches wide
