Fran graphs the equations y = 2x2 – 2 and y = –0.5x + 4. Her graph is shown below. mc010-1.jpg Which value is an approximate solution of 2x2 – 2 = –0.5x + 4?

On the added picture you can see that graphs of functions [tex]y=2x^2-2[/tex] and [tex]y=-0.5x+4[/tex] have two points of intersection. The x-coordinates of these points are the solutions of the equation
[tex]2x^2-2=-0.5x+4[/tex].
Hence, the approximate solutions are x=-1.9 and x=1.6.

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maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-07-04T05:51:12+02:00

The approximate solution of the equation 2x² - 2 = -0.5x + 4 is x = -2 option (A) is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a graph of an equation (parabola equation)

y = 2x² - 2

And a linear graph shown in the picture:

y = -0.5x + 4

After equation:

2x² - 2 = -0.5x + 4

Simplify:

[tex]\rm 20x^2-60=-5x[/tex]

Using quadratic equation formula:

[tex]\rm x_{1,\:2}=\dfrac{-5\pm \:5\sqrt{193}}{2\cdot \:20}[/tex]

[tex]\rm x=1.61 \approx 1.5[/tex]

x = -1.86 ≈ -2

Thus, the approximate solution of the equation 2x² - 2 = -0.5x + 4 is x = -2 option (A) is correct.

Learn more about the parabola here:

brainly.com/question/8708520

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