Answer:
1.5gal
Step-by-step explanation:
From the given information:
50% lemon juice + 50% lime juice is the intended mixture.
Therefore, to find quantity that would be added to 20% lemon juice and 80% lime juice, let's assume this to be x.
x of 100% and 4-x gallons of the existing 20% mix
100%x + 20%(4-x) = 50%(4)
1.00x + 0.2(4-x) = 0.5(4)
1.00x + 0.8-0.2x = 2
1.00x-0.2x = 2-0.8
0.8x = 1.2
× = 1.5gal.
Step-by-step explanation:
|| represents the absolute value function:
|x| = x when x >= 0,
|x| = -x when x < 0.
Therefore (-8) * |2| = (-8) * 2 = -16. (A)
Answer:
18,646
Step-by-step explanation:
>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646
>you can use the first derivative to find the minimum
c'(x) = (0.2x²-100x+31,146)' = .4x -100
.4x-100= 0 , so x= 250
c(x=250) = 0.2(250)² -100*250 +31,146 =18,646
Answer:
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