Question

Think about the system associated with the equation –x2 + x + 6 = 2x + 8.
Which graph represents the system?​

Answer 1

Answer:  see graph

Step-by-step explanation:

Set each equation equal to y, then graph each equation.

y = -x² + x + 6      (parabola)

y = 2x + 8            (line)

Notice that the system has NO SOLUTION because the parabola and the line never intersect.

Answer 2

The given equation represents the inconsistent system (It has no solution).

What is meant by an inconsistent system?

The graphs of a system that does not have any point of intersection are said to be inconsistent system. Which means the system has no solution.

Graphing:

The given system of equations as

$y=-x^2+x+6$ and $y=2x+8$

So, plotting these equations in the graph,

We get a curve and a line that do not have any intersections.

So, the given system has no solution.

Therefore, the given system is an inconsistent system.

Learn more about the inconsistent systems here:

https://brainly.com/question/2479635

https://brainly.com/question/13762455

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