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WARRIOR [948]
3 years ago
15

To show the relationship between the serving size and the number of pounds of meat needed for a lasagna recipe, a catering compa

ny uses the chart below. Lasagna Serving size Pounds of meat 20 2 40 6 80 8 120 12 The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes. For which serving size is the ratio of size to pounds of meat different from the other ratios? 20 40 80 120
Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0

Answer: 80

Step-by-step explanation: took the test

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Step-by-step explanation:

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Find the real numbers x&y so that (x^2+2xy)+i(y-1) = (x^2-2x+2y) - i(x+y)​
Mkey [24]

In order for two complex numbers to be equal, their real and imaginary parts must match up.

So if

<em>x</em> ² + 2<em>xy</em> + <em>i</em> (<em>y</em> - 1) = <em>x</em> ² - 2<em>x</em> + 2<em>y</em> - <em>i</em> (<em>x</em> + <em>y</em>)

then

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and

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<em />

Solve for <em>x</em> and <em>y</em> : the first equation gives

<em>x</em> ² + 2<em>xy</em> = <em>x</em> ² - 2<em>x</em> + 2<em>y</em>

2<em>xy</em> = 2<em>y</em> - 2<em>x</em>

and the second gives

<em>y</em> - 1 = -<em>x</em> - <em>y</em>

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Substitute this into the first equation:

<em>x</em> (1 - <em>x</em>) = (1 - <em>x</em>) - 2<em>x</em>

<em>x</em> - <em>x</em> ² = 1 - 3<em>x</em>

<em>x</em> ² - 4<em>x</em> + 1 = 0

<em>x</em> = 2 ± √3

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<em>x</em> = 2 - √3   ==>   <em>y</em> = (-1 + √3)/2

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3 0
3 years ago
Use Lagrange multipliers to minimize the function subject to the following two constraints. Assume that x, y, and z are nonnegat
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Complete Question

The complete question is shown on the first uploaded image

Answer:

Option C is the correct option

Step-by-step explanation:

From the question we are told that

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=>   z =  8        

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