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Masja [62]
3 years ago
11

To receive a C grade, a student must average more than 77 but less than or equal to 85 . If Ethan received a C in the course and

had five grades of 78 , 79 76 , 64 , and 85 before taking the final exam, what were the possible grades for his final if there were 100 points possible?
Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0
The answer is 80-100. To figure this out, do the mean of 78, 79, 76, 64, 85, and 80. It's just above 77. Anything below it would be a D. Now, if you do the mean of all the given numbers and 100, it's 80.333. The max you can get on this test is 100.
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Answer:

Step-by-step explanation:

The discriminant is used to determine the number and nature of the zeros of a quadratic. If the discriminant is positive and a perfect square, there are 2 rational zeros; if the discriminant is positive and not a perfect square, there are 2 rational complex zeros; if the discriminant is 0, there is 1 rational root; if the discriminant is negative, there are no real roots.

The roots/solutions/zeros of a quadratic are where the graph goes through the x axis. Those are the real zeros, even if they don't fall exactly on a number like 1 or 2 or 3; they can fall on 1.32, 4.35, etc. They are still real. If the graph doesn't go through the x-axis at all, the zeros are imaginary because the discriminant was negative and you can't take the square root of a negative number. As you can see on our graph, the parabola never goes through the x-axis. Therefore, the zeros are imaginary because the discriminant was negative. Choice C.  Get familiar with your discriminants and the nature of quadratic solutions. Your life will be much easier!

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