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Ira Lisetskai [31]
3 years ago
14

To get a grade of c in your course you must average at least 75% on 4 exams. you have taken the first three exams and gotten sco

res of 68,78, and 81. what must you score on the last exam to get a c or better
Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0
The total of the scores on the 4 exams must be at least 75 x 4 = 300.
The total scores in the first 3 exams is 68 + 78 + 81 = 227.
Therefore the minimum score needed on the last exam is 300 - 227 = 73.

The answer is a score of at least 73.

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If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.
galina1969 [7]

Answer:

\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} is your average rate of change,

Step-by-step explanation:

average rate of change is

\frac{f(a+h)-f(a)}{a+h-a}, by slope formula

simplify this to get \frac{f(a+h)-f(a)}{h}, which is the definition of the derivative as h goes to 0

\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}

simplifying

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check the picture below.


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