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lorasvet [3.4K]
3 years ago
14

For which discriminant is the graph possible

Mathematics
1 answer:
natulia [17]3 years ago
3 0

A quadratic's discriminant can either be more than zero, less than zero, or exactly zero. When the discriminant is less than zero, there are no real solutions and the graph won't cross the x-axis. When it's exactly zero, there will be a real double root and the graph is tangent to the x-axis. When it's more than zero, there will be two real solutions and two x-intercepts.

Our graph has two intercepts, so it needs a positive discriminant more than zero. Choice A's is negative - no.

Choice B's is zero - no.

Choice C's is positive -yes.

Thus, "C" is the possible discriminant for the given graph.

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I calculated this using the formula:

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Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase.  You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.  

Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.


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