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Licemer1 [7]
3 years ago
7

4( x+6)=-4(2x-9)+3x​

Mathematics
1 answer:
kupik [55]3 years ago
4 0

Answer:

x=1.33 repeating or 1 1/3

Step-by-step explanation:

You take 4 and distribute to everything in the parentheses.

You also do the same for the -4.

After you distribute, you should get: 4x+24=-8x+36+3x

Then you combine like terms (the two x's on the right side of the equation.

You should then get: 4x+24=-5x+36

Next, you subtract 24 from the positive 24, to cancel it out, and the 36 to get 12.

Then, add 5x to the negative 5x, to cancel it out, and to the 4x to get 9x.

Finally, you divide 12 by 9 to get 1.33 repeating or 1 1/3.

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Answer:

(0,2.3)    if only one choice expected.

(0,2.3) and (0,0)  if "all that apply" expected, since (0,0) is also a vertex of the green region.

Step-by-step explanation:

From the attached diagram, the given answer optsions are shown in brown.

The red line shows the optimal combinations of the two variables, hence a maximization problem.

Out of the four answer options, two coincide with a vertice of the valid region (shown in green), namely (0,0) and (0, 2.3).

Out of the two indicated options which correspond to a vertex, the origin (0,0) is usually ignored for a maximization problem, which leaves us with (0,2.3) as the answer.

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Step-by-step explanation:

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