A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Jackie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

  2. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    a quadratic function f(x), can be this: \[f\left( x \right) = a{x^2} + bx + c\] whereas a linear function, g(x), can be this: \[g\left( x \right) = kx + h\]

  3. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now, the intersections between those functions, are given by the solutions of the subsequent algebraic system: \[\left\{ \begin{gathered} f\left( x \right) = a{x^2} + bx + c \hfill \\ g\left( x \right) = kx + h \hfill \\ \end{gathered} \right.\]

  4. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so, we can have the subsequent cases: 1) two distinct solutions, which means, taht we have two distinct point of intersections: |dw:1438611731045:dw|

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ohhh! :) Ok, I'm understanding it now

  6. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    2) one solutions, or more precisely two identical solutions, which means that we have only one intersection: |dw:1438611820605:dw|

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I have to go but I'll be back in 10 minutes(eating breakfast)!

  8. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    3) no solutions, which means that we have no intersections: |dw:1438611883205:dw|

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so is it no intersection?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

  11. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes! in the third case we have no intersections

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yay!:)

  13. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    :)

  14. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.