A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Please help! WILL MEDAL AND FAN!

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

    Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track. Part A The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function. Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer. Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros. g(x) = x3 − x2 − 4x + 4 g(x) = x3 + 2x2 − 9x − 18 g(x) = x3 − 3x2 − 4x + 12 g(x) = x3 + 2x2 − 25x − 50 g(x) = 2x3 + 14x2 − 2x − 14 Create a graph of the polynomial function you selected from Question 2. Part B The second part of the new coaster is a parabola. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros. The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan. Create a graph of the polynomial function you created in Question 4. Part C Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view. Part D Create an ad campaign to promote Ray and Kelsey's roller coaster. It can be a 15-second advertisement for television or radio, an interview for a magazine or news report, or a song, poem, or slideshow presentation for a company. These are just examples; you are not limited to how you prepare your advertisement, so be creative. Make sure to include a script of what each of you will say if you are preparing an interview or a report. The purpose of this ad is to get everyone excited about the roller coaster.

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

    @peachpi

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

    @welshfella

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

    @kropot72

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

    @ganeshie8

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

    @pooja195

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

    @ali2x2

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

    @Nnesha

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

    @SolomonZelman

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

    @triciaal

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

    I don't have the time right now to complete all of this. to start a 3rd degree polynomial maximum of 3 roots

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

    I have part A.

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

    Just not B,C,D

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

    Is there a way for the both of them to be correct? not sure but maybe the 3 zeros but 4 intercepts with complex roots if a + bi is a factor then a - bi will also be a factor.

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

    Okay.

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

    This is what i have for part A: A third degree polynomial can have at most three x intercepts and always has one y intercept. So it can have 4 intercepts. And three zeros . 2-3(A)g(x) = x3 − x2 − 4x + 4 x^2( x- 1) - 4(x-1) (x^2 - 4)(x-1) X intercepts: 2,-2, 1 Y intercept: 4 Ending behavior: Such as: x → -∞, y → -∞ Such as: x → +∞ , y → +∞

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

    Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.

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

    |dw:1439495315678:dw|

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

    when a is positive opens up when a is negative opens down line of symmetry x = h k is the value of f(h)

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

    you can use completing the square to find the vertex of the parabola

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

    I have to finish this very quickly!

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

    Can you help me.I am very confused on this.

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

    @pooja195

  24. 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.