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anonymous

  • one year ago

I need help on a assignment!

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  1. anonymous
    • one year ago
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    1. West Mathington’s most urgent need is a parabolic freeway. Create your own upward opening quadratic function, f(x), which has two real zeros. Prove that f(x) has two real zeros. 2. Two on-ramps need to be placed on the parabolic freeway. Decide where on the parabola of f(x) you are placing the on-ramp locations. Write those ordered pairs down. 3.West Mathington wants to connect these on-ramps with some surface roads. Create a linear growth function, h(x), that passes through both on-ramp points. Create an exponential growth function, j(x), that passes through at least one of the on-ramp points. Show all of the work you did to create both functions. I did those but I need help on the rest!

  2. anonymous
    • one year ago
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    I need help on 4 and 5

  3. anonymous
    • one year ago
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    4. What important relationship do the x-coordinates of the on-ramp location points have with the system of equations formed by the two roads’ functions that are being connected? Provide justification and support for your explanation. 5. The city planner needs to identify the most northern road. Prove which road will eventually go the furthest to the north (positive y-direction). Create tables for your functions using an appropriate domain of five integers. Using the tables and graph, explain to the city planner which road will be the furthest north as the x-values continue to get larger (the road continues to go east). Provide reasoning why.

  4. anonymous
    • one year ago
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    @triciaal

  5. triciaal
    • one year ago
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    2 real zeros when b^2 = 4 a c from the general equation ax^2 + bx + c = 0

  6. anonymous
    • one year ago
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    wait how would i explain it for number 4?

  7. triciaal
    • one year ago
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    upward opening means a is positive

  8. anonymous
    • one year ago
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    I did 1-3. I just need some help on 4 and 5

  9. triciaal
    • one year ago
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    show what you have then

  10. anonymous
    • one year ago
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    ok hang on one sec

  11. triciaal
    • one year ago
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    @peachpi @sleepyjess @Data_LG2

  12. anonymous
    • one year ago
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    1. f(x) = x^2 - 1 2. I got the points (-1,0) and (2,3) 3. linear function: y=x+1 exponential function: f(x) = 2^x -1

  13. triciaal
    • one year ago
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    @Michele_Laino please help

  14. anonymous
    • one year ago
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    @triciaal where are you going??

  15. anonymous
    • one year ago
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    @sleepyjess @Michele_Laino

  16. Michele_Laino
    • one year ago
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    It seems that your answer is right!

  17. anonymous
    • one year ago
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    thanks! umm im just confused about 4 and 5 though can you help? @Michele_Laino

  18. Michele_Laino
    • one year ago
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    I think that we have to write the function of each on-ramp

  19. anonymous
    • one year ago
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    ok would i say that the important relationship the x-coordinates of the on-ramp location points have with the system of equations is that the freeway and roads become connected? I would provide justification and support for your explanation by showing the graph and label everything? for number 4

  20. anonymous
    • one year ago
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    @Michele_Laino

  21. Michele_Laino
    • one year ago
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    yes! I think so!

  22. anonymous
    • one year ago
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    ok thanks! what about number 5??

  23. anonymous
    • one year ago
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    how would i make the tables?

  24. Michele_Laino
    • one year ago
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    for part #5, we have to construct those two on-ramps

  25. anonymous
    • one year ago
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    how would i do that

  26. Michele_Laino
    • one year ago
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    one on-ramp has to pass at point (-1,0), and the other one has to pass at point (2,3). Furthermore both on-ramp have to be represented by a straight line, so the corresponding function has to be like this: y= a*x+b

  27. anonymous
    • one year ago
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    wait i already did that? number 5 wants a table how do i do that?

  28. Michele_Laino
    • one year ago
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    I think that one on-ramp can be represented by this function: \[y = \frac{1}{2}\left( {x + 1} \right)\]

  29. anonymous
    • one year ago
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    i'm confused now?

  30. Michele_Laino
    • one year ago
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    and the second one, can be represented by this function: \[y = - x + 5\]

  31. anonymous
    • one year ago
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    for number 5? arent they asking for a table though

  32. Michele_Laino
    • one year ago
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    I know, nevertheless in order to write a table, you have to start with a function

  33. Michele_Laino
    • one year ago
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    as you can check, the first function: y=(1/2)(x+1) passes at point (-1,0)

  34. anonymous
    • one year ago
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    ok so i would make a table for each function 1. f(x) = x^2 - 1 2. y = x + 1 3. f(x) = 2^x -1

  35. Michele_Laino
    • one year ago
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    whereas the second function: y=-x+5, passes at point (2,3)

  36. anonymous
    • one year ago
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    ok so I would start with the first point each function passes through to the fifth point they pass?

  37. Michele_Laino
    • one year ago
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    yes! It is a possible procedure

  38. anonymous
    • one year ago
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    ok so thats all I would do then explain? thanks so much!

  39. Michele_Laino
    • one year ago
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    :)

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