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If you are given the graph of y= (x^2) -1, what other line would you have to graph in order to solve the equation (x^2) -x +5=0?
y=?

  y = x -6

Step-by-step explanation:

The question is asking what system of equations is equivalent to the quadratic given, where one of the equations in the system is y = x^2 -1.

Let's say the other equation is ...

  y = mx +b

So, equating the values of y, we would have ...

  x^2 -1 = mx +b

Subtracting the right side gives ...

  x^2 -mx -1 -b = 0

Now, we can equate coefficients to y=x^2 -x +5 and we will see that ...

  -mx = -1x   ⇒   m = 1

  -1 -b = +5   ⇒   b = -6

The other line has the equation ...

  y = x -6

Comment on the problem

The given quadratic, and the equivalent system of equations we found, have no real solutions.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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rauschg

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step-by-step explanation: