The fraction of the fence completed in one hour at a rate of of the
fence in hours is
.
The fraction of the fence completed in of an hour =
Required:
The fraction of the fence the student completes per hour;
Solution;
The time of the fence is completed =
of an hour
Therefore;
The fraction of the fence completed per hour =
Learn more about fractions here:
Answer:
See Below.
Step-by-step explanation:
We are given the function:
And we want to show that it has at least one zero between <em>x</em> = 1 and <em>x</em> = 2.
Because the function is a polynomial, it is everywhere continuous.
Evaluate the function at <em>x</em> = 1 and <em>x</em> = 2:
And:
Therefore, because the function changes signs from <em>x</em> = 1 to <em>x</em> = 2 and is continuous on the interval [1, 2], by the intermediate value theorem, there must exist at least one zero in the interval.