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kkurt [141]
4 years ago
6

Which of the graphs below represents the equation 3x-2y=-12?

Mathematics
1 answer:
Sunny_sXe [5.5K]4 years ago
6 0

Graph B would be the answer.

3x-2y=12

-2y=-3x+12

y=3/2x-6

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Determine the value of sin 52º 47' (sine of 52 degrees, and 47 minutes). In this case, minutes are 1/60 of a degree.
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4 years ago
A health clinic dietician is planning a meal consisting of three foods whose ingredients are summarized as follows: One Unit ofF
aleksley [76]

Answer:

z (min) = 360      x₁  =  x₃ = 0   x₂ = 3

Step-by-step explanation:

                             Protein      Carbohydrates    Iron      calories

Food 1  (x₁)               10                       1                   4              80

Food 2 (x₂)               15                       2                  8              120

Food 3 (x₃)               20                       1                  11              100

Requirements         40                        6                 12

From the table we get

Objective Function z :

z  =  80*x₁   +  120*x₂   +   100*x₃     to minimize

Subjet to:

Constraint 1.  at least 40 U of protein

10*x₁  +  15*x₂ + 20*x₃  ≥  40

Constraint 2. at least  6 U of carbohydrates

1*x₁  +  2*x₂  + 1*x₃    ≥  6

Constraint 3.  at least  12 U of Iron

4*x₁   +  8*x₂  +  11*x₃  ≥  12

General constraints:

x₁    ≥  0     x₂   ≥  0    x₃   ≥  0    all integers

With the help of an on-line solver after 6 iterations the optimal solution is:

z (min) = 360      x₁  =  x₃ = 0   x₂ = 3

3 0
3 years ago
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