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defon
1 month ago
12

Select all statements that are true about the linear equation. y=−2x+4

Mathematics
1 answer:
lawyer [12.5K]1 month ago
5 0

Answer:

Statements 3 and 4 are true regarding the linear equation y=(-2)x+4

Step-by-step explanation:

The linear equation provided is y=(-2)x+4

Now,

Statement 1: The graph of this equation encompasses all points on the coordinate plane.

No,

The graph represents only the set of points defined by this line's equation.

Statement 2: The point (0,2) lies on the graph of this equation.

No,

The linear equation is y=(-2)x+4

To check point (0,2)

2=(-2)0+4

2=4

FALSE. The point (0,2) is not part of the graph for this equation.

Statement 3: The graph of the equation consists of points that are solutions to the equation.

Yes,

The given linear equation describes a line, and all points on that line correspond to solutions of the equation.

Statement 4: The point (1,2) is on the graph of the equation.

Yes,

The linear equation is y=(-2)x+4

To check point (1,2)

2=(-2)1+4

2=2

TRUE. The point (1,2) does indeed lie on the graph of this equation.

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Answer:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

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Step-by-step explanation:

Let x denote the smaller number and y denote the larger number.

Part 1

The equation presented indicates that four times some number added to three times a larger number equals 31.

This translates to:

  • 4x + 3y = 31

From here, solving for y yields:

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This indicates the correct response for this scenario:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

Part 2

The statement that seven subtracted from the larger number equals twice the smaller number translates to:

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Further, solving for y yields:y-7= 2x ⇒

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The correct answer for this equation is:

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if Marianne's father calls and says he needs 13 pounds of potting soil, how many additional bags should she buy?
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THE RESULT WOULD BE 10 MORE BAGS
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Answer:

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Espero que puedas conocer esta respuesta

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