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levacccp [35]
2 years ago
10

Billy graphed the system of linear equations to find an approximate solution.

Mathematics
1 answer:
jeka57 [31]2 years ago
6 0

The points that are possible approximations for this system are; (2.2, -1.4) and (2.2, -1.35)

<h3>How to find the solution of a linear graph?</h3>

We are given the equations of the linear graphs as;

y = ⁷/₄x + ⁵/₂

y = ³/₄x - 3

Notice that the lines intersect each other and by definition, if the lines of the system of equations intersect, then the system has one solution. This means that the point of intersection of the lines is the solution of the system. It can be written as:

(x, y)

x is the x-coordinate .

y is the y-coordinate.

In this case, we can identify that:

- the x-coordinate of the point of intersection is between; x = 2 and x = 3

- The y-coordinate of the point of intersection is between y = -1 and y = -2

Based on the above, we can conclude that the points that are possible approximations for this system are; (2.2, -1.4) and (2.2, -1.35)

Read more about Linear Graph Solution at; brainly.com/question/14323743

#SPJ1

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Answer:

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Step-by-step explanation:

If you pay attention to the square of a binomial, ...

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You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².

In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.

So, you can think of this ambiguous question in a couple of ways.

<u>Concern is only with the x-terms</u>:

  x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides

  (x -3.5)² +31 = 12.25 . . . . write the x-terms as a square

<u>Concern with the equation overall</u>:

You want the end result to have the x-terms in the form of the square ...

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The left side of the equation can be put in that form by adding -18.75 to both sides;

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  (x -3.5)² = -18.75 . . . . . . write the left side as a square

__

The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.

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makvit [3.9K]

Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

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<em />

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