Mathematics

Question

The graphs of y=x2- 3 and y = 3x -4 intersect at
approximately
1) (0.38,-2.85), only
2) (2.62,3.85), only
3) (0.38, -2.85) and (2.62,3.85)
4) (0.38, -2.85) and (3.85,2.62)

1 Answer

  • Answer:

    Option 3) (0.38, -2.85) and (2.62,3.85)

    Step-by-step explanation:

    we have

    [tex]y=x^{2}-3[/tex] ----> equation A

    [tex]y=3x-4[/tex] ----> equation B

    Solve the system by graphing

    Remember that the solution of the system of equations is the intersection point both graphs

    using a graphing tool

    The intersection points are (0.38,-2.85) and (2.62,3.85)

    see the attached figure

    therefore

    The graphs intersect approximately at (0.38,-2.85) and (2.62,3.85)