Barbara answered 72 questions correctly on her test. If her score on the test was 80%, how many questions were on the test?
2 answers:
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Answer:
The average value of over the interval
is
.
Step-by-step explanation:
Let suppose that function is continuous and integrable in the given intervals, by integral definition of average we have that:
(1)
(2)
By Fundamental Theorems of Calculus we expand both expressions:
(1b)
(2b)
We obtain the average value of over the interval
by algebraic handling:
The average value of over the interval
is
.
Answer:
Given equation:
when we complete the square , we take half of the value of 8 , then square it, and added to the left sides, we get;
∵8 is the value
Notice that, we add this both sides so that it maintains the equality.
then;
[
]
Simplify:
The number must be added to complete the square is,