Simplify if possible
2 answers:
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Answer:
Step-by-step explanation:
According to intermediate value theorem, if a function is continuous on an interval , and if
is any number between
and
, then there exists a value,
, where
, such that
In the given question,
Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.
Here,
Put
Put
This can be easily solved, especially with a calculator.
With the calculator, you can find that is about 6.4807.
Multiply that by 2, you get about 13 inches.
If you can't use a calculator, then you can just estimate. Since we know that is 6 and
is 7,
is in between them, so you can just say somewhere around 6.5.
Multiply 2 * 6.5 and you get 13 inches.