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anonymous

  • one year ago

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts? a) m>12/49 b) m<12/49 c) m<49/12 d) m> 49/12

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  1. anonymous
    • one year ago
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    Do you have any pictures for this question?

  2. anonymous
    • one year ago
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    Okay, perfect :)

  3. anonymous
    • one year ago
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    Hold on, I'm working it out on paper.

  4. anonymous
    • one year ago
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    alright c:

  5. anonymous
    • one year ago
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    Alrighty. The quadratic formula (a part we call the "discriminant") is defined by the variables that are inside the square root, and is denotated by the delta

  6. anonymous
    • one year ago
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    Δ=b2−4ac

  7. anonymous
    • one year ago
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    Whenever we solve a quadratic equation that is complete and we analyze the discriminant,

  8. anonymous
    • one year ago
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    we get 3 scenarios: if→Δ>0=>∃x1,x2/ax2+bx+c=0

  9. anonymous
    • one year ago
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    This just means: "if the discriminant is greater than zero, there will exist two x-intercepts" And for the second scenario: if→Δ=0→∃xo/ax2+bx+c=0

  10. anonymous
    • one year ago
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    This means that if the discriminant is equal to zero, there will be one and only one x-intercept And for the last scenario: (if→Δ<0→∃x∉R/ax2+bx+c=0) This means that if our discriminant is less than zero, there will be no x-intercepts So, if we take your excercise and analyze the the discriminant (which is 3x2+7x+m=y) we can find the values that satisfy y=0 3x2+7x+m=0 than we can analyze the discriminant: Δ=72−4(3)(m) we are only interested in the values that make the discriminant equal zero 72−4(3)(m)=0 so all you have to do is solve for "m"

  11. anonymous
    • one year ago
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    im very confused

  12. anonymous
    • one year ago
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    Oh no :( I'll simplify this to find the intercepts of the graph, you have to solve for "m"

  13. anonymous
    • one year ago
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    D is your answer

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