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Alenkasestr [34]
3 years ago
13

A chef buys a 1-gallon jug of milk for a cookie recipe. He first uses 1/4 of the milk. Then he uses 2/3 of the remaining milk. H

ow much milk is left in the jug?
Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

1/12 of a jug is what is left

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Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by  x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68  

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

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