Answer:
Step-by-step explanation:
According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one <em>c</em> within (a, b) such that f'(c) = 0.
We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a <em>c</em> in (5, 8) such that g'(c) = 0.
So, differentiate the function. We can take the derivative of both sides with respect to <em>x: </em>
<em />![\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20-7x%5E3%20%2B91x%5E2%20-280x%20-%209%5Cright%5D)
<em />
Differentiate:
Let g'(x) = 0:
Solve for <em>x</em>. First, divide everything by negative seven:
Factor:
<h3>
</h3>
Zero Product Property:
Solve for each case. Hence:
Since the first solution is not within our interval, we can ignore it.
Therefore:
Answer
+
Step-by-step explanation:
3 - 1 = 2
1/4 - 3/16 = 4/16 - 3/16 = 1/16
answer is : 2 1/16 (in mixed number) or 33/16 (in improper fraction)
Answer: One foot = 12in. Two Feet = 24in. Three Feet = 36in. Four Feet = 48in.
Step-by-step explanation: So there is 12 inches in one foot. In two feet it is just double so 24 inches. In three it is just triple so 36 inches and in four you just do 12 times 4 so 48 inches.
Eddie is correct about his prediction. A coin has two sides, one head, one tail, so there is a 50% chance that it will land heads every time Eddie flips the coin. I would tell Eddie that his prediction is reasonable and mathematically correct.
