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anonymous

  • one year ago

Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is the first year the f(x) height is greater than the g(x) height? A. Year 0 B.Year 1 C.Year 2 D.Year 3 Can i get some help plz

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  1. anonymous
    • one year ago
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    @ali2x2

  2. anonymous
    • one year ago
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    @Michele_Laino can u help me plz

  3. Michele_Laino
    • one year ago
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    you have to substitute x=0, 1,2,3 then you have to compare the values f(x) and g(x) for each year. For example, if x=0, then we have: f(0) = 4*0 =0, and g(0)= 5*0+2=2, so f(0) < g(0) now, please do the same for other values of x

  4. anonymous
    • one year ago
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    so pu 4 in for f in the problem and 5 in for g

  5. anonymous
    • one year ago
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    u there

  6. Michele_Laino
    • one year ago
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    yes!

  7. Michele_Laino
    • one year ago
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    question: are f(x) and g(x) heights or rates?

  8. anonymous
    • one year ago
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    rates

  9. Michele_Laino
    • one year ago
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    so, are you familiar with differential calculus?

  10. anonymous
    • one year ago
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    no i am not ?

  11. Michele_Laino
    • one year ago
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    if f(x) is a rate, then the corresponding height h, is given solving this differential equation: \[\Large \frac{{dh}}{{dx}} = 4x\]

  12. anonymous
    • one year ago
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    ok i am trying to understand what is going on but for my first answer i put B. am i right

  13. Michele_Laino
    • one year ago
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    I'm pondering...

  14. anonymous
    • one year ago
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    okay

  15. Michele_Laino
    • one year ago
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    my reasoning is: height h1 for f(x) is: \[\Large {h_1}\left( x \right) = 2{x^2}\] whereas height h2 for g(x) is: \[\Large {h_2}\left( x \right) = \frac{{5{x^2}}}{2} + 2x\] and we have h2>h1, if x>0, whereas h2=h1 if x=0

  16. Michele_Laino
    • one year ago
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    please wait I ask to another helper

  17. anonymous
    • one year ago
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    so A

  18. Michele_Laino
    • one year ago
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    @Astrophysics please help

  19. Michele_Laino
    • one year ago
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    @vera_ewing @nincompoop please help

  20. anonymous
    • one year ago
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    so what i need to do

  21. Astrophysics
    • one year ago
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    This doesn't really make sense, are the functions \[f(x)=4x~~and~~g(x) = 5x+2~~~~or~~~~f(x)=4^x~~~~and~~~g(x) = 5x+2\]

  22. anonymous
    • one year ago
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    Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is the first year the f(x) height is greater than the g(x) height? this is the problem

  23. Astrophysics
    • one year ago
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    What are the functions...from what i showed you

  24. Astrophysics
    • one year ago
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    is it to the power of x or just times x...

  25. anonymous
    • one year ago
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    just times

  26. Astrophysics
    • one year ago
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    So it's \[f(x) = 4x\] and \[g(x) = 5x+2\]

  27. anonymous
    • one year ago
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    i am so confused tho

  28. Astrophysics
    • one year ago
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    Can you please take an image of your question and post it

  29. anonymous
    • one year ago
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    i dont know how to do thatfrom computer

  30. anonymous
    • one year ago
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    Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is the first year the f(x) height is greater than the g(x) height? Year 0 Year 1 Year 2 Year 3

  31. Astrophysics
    • one year ago
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    Ok all I am asking you is, what are the functions they gave you in the problem f(x), if it's to the power of x or is just 4x...

  32. Astrophysics
    • one year ago
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    and same for g(x)

  33. Astrophysics
    • one year ago
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    |dw:1438873919146:dw|

  34. anonymous
    • one year ago
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    Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2 What is the first year the f(x) height is greater than the g(x) height? Year 0 Year 1 Year 2 Year 3

  35. Astrophysics
    • one year ago
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    cmon dude lol

  36. anonymous
    • one year ago
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    lol tbh i dont know

  37. Astrophysics
    • one year ago
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    Im asking you about the problem

  38. Astrophysics
    • one year ago
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    not how to do it

  39. anonymous
    • one year ago
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    lol o....

  40. Astrophysics
    • one year ago
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    Two different plants grow each year at different rates, which are represented by the functions `f(x) = 4x and g(x) = 5x + 2` What is the first year the f(x) height is greater than the g(x) height?

  41. Astrophysics
    • one year ago
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    Are those to the power of x or just being multiplied by x

  42. anonymous
    • one year ago
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    being multiplied

  43. Astrophysics
    • one year ago
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    So it's exactly \[f(x) = 4x~~~~~g(x) = 5x+2\] like that right?

  44. anonymous
    • one year ago
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    yes that right

  45. Astrophysics
    • one year ago
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    Ok well...then you can make a graph check this out |dw:1438874246367:dw| blue is g(x) and green is f(x)

  46. anonymous
    • one year ago
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    what am i looking for in the picture

  47. Astrophysics
    • one year ago
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    This doesn't make sense

  48. Astrophysics
    • one year ago
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    This shows g(x) > f(x) always

  49. anonymous
    • one year ago
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    ok so make a graph

  50. Astrophysics
    • one year ago
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    Can you please take a screenshot of your problem

  51. anonymous
    • one year ago
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    how can u screen shot from computer

  52. anonymous
    • one year ago
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    did u get it

  53. Astrophysics
    • one year ago
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    not yet

  54. Astrophysics
    • one year ago
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    Ok I got it and it was to the power of x, I KNEW IT!! haha|dw:1438875745626:dw|

  55. anonymous
    • one year ago
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    lol okay

  56. Astrophysics
    • one year ago
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    Ok so now we can put in values as Michele did above, to see so let x = 0 \[f(0) = 4^0 = 1\] \[g(0) = 5(0)+2=2\] So its not year 0

  57. anonymous
    • one year ago
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    its 2

  58. anonymous
    • one year ago
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    C.

  59. Astrophysics
    • one year ago
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    \[f(1) = 4^1=4\] \[g(1) = 5(1)+2=7\] year 1 \[f(2) = 4^2 = 16~~~~g(2) = 5(2)+2 = 12\]

  60. Astrophysics
    • one year ago
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    Yup year 2 lol

  61. Astrophysics
    • one year ago
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    Bleh, that took so long xD, I knew something was fishy

  62. anonymous
    • one year ago
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    lol okay thx for your time

  63. anonymous
    • one year ago
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    Which of the following exponential functions goes through the points (1, 6) and (2, 12)? f(x) = 3(2)x f(x) = 2(3)x f(x) = 3(2)−x f(x) = 2(3)−x

  64. anonymous
    • one year ago
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    help me with this @Astrophysics

  65. Astrophysics
    • one year ago
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    Lol no problem

  66. Astrophysics
    • one year ago
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    Please open a new question

  67. anonymous
    • one year ago
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    lol okay

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