Answer:
x=1/3
Step-by-step explanation:
A function f is given as
in the interval [0,1]
This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)
Hence mean value theorem applies for f in the given interval

The value

Find derivative for f

Equate this to -5 to check mean value theorem

We find that 1/3 lies inside the interval (0,1)
Answer:
Step-by-step explanation:
The coin would be 1/2 and the dice one would be 4/6 unless you're including the number 5 then it would be 5/6
Exponential decay is the answer
Answer:
question 1 answer:
nth term is =7n+6
9th term means n=9
So the 9th term is =7*9+6=63+6= 69.
question 2 answer: 2−4+3
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Answer : Direct Variation
Question :
Identify the variation as direct, inverse, joint or combined. A = 
We know direct variation is y = kx
Where k is the constant of proportionality
When value of x increases then y also increases. when x value decreases then y value decreases.
The value of y depends on value of x It means y is directly proportional to x.
Hence A =
is a direct variation.