How fast can Usain Bolt run if it takes him 9.9 s to run 100 m?
1 answer:
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Answer:
Step-by-step explanation:
The quadratic formula is:
The discriminant of a quadratic is just the expression under the square root, or . This can tell us the number of solutions a quadratic has.
If the discriminant is:
- Positive = 2 real solutions
- Equal to Zero = 1 real double/repeated solution
- Negative = 0 real solutions, but 2 imaginary solutions
Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.
Answer:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and , we want to find a
such that
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that . Then
.
Then, if , then
. So, in this case, if
we get that
. The maximum value of delta is
.
By definition, this procedure proves that . Note that f(5)=14, so this proves that f is continous at x=5.