anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Do you have any pictures for this question?
anonymous
  • anonymous
Okay, perfect :)
anonymous
  • anonymous
Hold on, I'm working it out on paper.

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anonymous
  • anonymous
alright c:
anonymous
  • anonymous
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
anonymous
  • anonymous
Δ=b2−4ac
anonymous
  • anonymous
Whenever we solve a quadratic equation that is complete and we analyze the discriminant,
anonymous
  • anonymous
we get 3 scenarios: if→Δ>0=>∃x1,x2/ax2+bx+c=0
anonymous
  • anonymous
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
anonymous
  • anonymous
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"
anonymous
  • anonymous
im very confused
anonymous
  • anonymous
Oh no :( I'll simplify this to find the intercepts of the graph, you have to solve for "m"
anonymous
  • anonymous
D is your answer

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