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:
3 x 4(hours) = 12
60 - 12 = 48
At 4am the temperature was 48 degrees
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 6 = 
(x - 9) ← distribute the parenthesis
y + 6 = x - 3 ← subtract 6 from both sides
y = x - 9 ← in slope- intercept form
Answer:
half of it would be 45
Step-by-step explanation:
120 - 30 = 90
90 divided by 2 = 45
hope this helped! sorry if i didn't answer your question, i was a little bit confused on what you wanted us to solve:)
if u want to find the length of it, it would be 150 because 120 + 30 = 150
Answer:
A) (-5,0)
Step-by-step explanation:
B) (-2, 4)
C) (-2, -3)
Hope this helped!
