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anonymous

  • 4 years ago

f(x)=610x^2-10,250x+1,235 determine the max or min and write answer as a coordinate????

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  1. Mertsj
    • 4 years ago
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    I see it has a minimum. Do you see that?

  2. anonymous
    • 4 years ago
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    yes because it's postive right

  3. Mertsj
    • 4 years ago
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    Yes.

  4. Mertsj
    • 4 years ago
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    And that minimum is the vertex. Right?

  5. anonymous
    • 4 years ago
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    right

  6. Mertsj
    • 4 years ago
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    And the x coordinate of the vertex can easily be found because we know that x = -b/2a Right?

  7. anonymous
    • 4 years ago
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    right

  8. anonymous
    • 4 years ago
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    oh by the way it says x=.28 and then it says to determine the min and write as coordinate, idk if .28 makes any difference

  9. Mertsj
    • 4 years ago
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    And -b/2a= 10250/1220=8.40

  10. Mertsj
    • 4 years ago
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    Maybe you'd better post the entire problem.

  11. anonymous
    • 4 years ago
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    ok hold on

  12. anonymous
    • 4 years ago
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    evaluate each expression below for x=.28. determine the max or min of f(X)=610x^2-10250x+1235. write answer as a coordinate.

  13. Mertsj
    • 4 years ago
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    Ok. We can do that at the end. Right now we're in the middle of finding the vertex. So do you agree that the x coordinate of the vertex is 8.40?

  14. anonymous
    • 4 years ago
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    yes i agree

  15. Mertsj
    • 4 years ago
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    So now we can find the y coordinate of the vertex by replacing x with 8.40 and evaluating the expression.

  16. Mertsj
    • 4 years ago
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    I got -41823.4 What did you get?

  17. anonymous
    • 4 years ago
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    -4.18234

  18. Mertsj
    • 4 years ago
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    How did you get a decimal point after the 4?

  19. anonymous
    • 4 years ago
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    let me calculate it again ok

  20. Mertsj
    • 4 years ago
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    The numbers are right. just the decimal is off.

  21. Mertsj
    • 4 years ago
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    maybe your calculator is in scientific notation mode and it has an exponent of 4. Could that be?

  22. anonymous
    • 4 years ago
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    is cuz i set it to round and it's literallly going crazy so let's go with ur answer ok

  23. Mertsj
    • 4 years ago
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    Ok. Now we know the vertex is (8.4,-41823.4)

  24. Mertsj
    • 4 years ago
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    And now we have to plug in the .28 and find the value of the expression for that x value.

  25. anonymous
    • 4 years ago
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    ok

  26. Mertsj
    • 4 years ago
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    I got -6917.176 What did you get?

  27. anonymous
    • 4 years ago
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    -6.917176

  28. anonymous
    • 4 years ago
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    the decimal again

  29. Mertsj
    • 4 years ago
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    you've got to get your calculator out of scientific notation mode. Do you have a EE button?

  30. Mertsj
    • 4 years ago
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    It automatically gives you your answers in scientific notation and you are overlooking the number at the upper right of the screen that tells you the exponent of the 10

  31. anonymous
    • 4 years ago
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    i redid it and now i got -1.59??????

  32. Mertsj
    • 4 years ago
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    I'll do it again. I'll bet that every problem you do, you get an answer between 1 and 10. Am I right? Enter 20 times 500

  33. anonymous
    • 4 years ago
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    1.00

  34. Mertsj
    • 4 years ago
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    There you go. Of course 20 times 500 is 10000 not 1. Did you look for a little number at the upper right of your screen? It should be a 4

  35. Mertsj
    • 4 years ago
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    In any case, I've double checked it a number of times. f(.28)=-1587.176

  36. anonymous
    • 4 years ago
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    so ok then how do i write it as a coordinate?

  37. Mertsj
    • 4 years ago
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    (.28,-1587.176)

  38. Mertsj
    • 4 years ago
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    And for the vertex: Ok. Now we know the vertex is (8.4,-41823.4)

  39. anonymous
    • 4 years ago
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    yes ok i'm clear now

  40. Mertsj
    • 4 years ago
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    Good for you.

  41. anonymous
    • 4 years ago
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    thank you!!!!!!!!

  42. Mertsj
    • 4 years ago
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    yw

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