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➷ Just substitute the values in:
(1)^2 + (3)^2 + (4)^2 - 3(3)(4)^2
Simplify:
(1 + 9 + 16) - 144
Simplify further to get the answer:
answer = -118
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Answer: x= 5/2
Step-by-step explanation::)
Answer:
The number of cups = 8 ....
Step-by-step explanation:
Let x be the number of cups
Let y be the number of plates
According to the given statement:
y=2x-4 This is equation 1
Now,
60% = 0.60
y=0.60(x+y) This is equation 2
Now substitute equation 1 in equation 2.
y=0.60(x+y)
2x-4=0.60(x+2x-4)
2x-4=0.6x+1.2x-2.4
Solve the like terms:
2x-4=1.8x-2.4
2x-1.8x=4-2.4
0.2x=1.6
x=1.6/0.2
x= 8 cups
Therefore the number of cups = 8 ....
RemarkIf you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)
Step OneDivide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2 Now differentiate that. It should be much easier.
Step TwoDifferentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x I wonder if there's anything else you can do to this. If there is, I don't see it.
I suppose this is possible.
y' = 3/x^(1/2) + 6x
y' =

Frankly I like the first answer better, but you have a choice of both.