Answer:
I think number 17 is 180°
Answer: c = 4.97 and c = -1.97
Step-by-step explanation: <u>Mean Value Theorem</u> states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

So, for the function f(x) =
on interval [-4,9]

f(-4) = 
f(-4) = 113
f(9) = 
f(9) = 100
Calculating average:



Resolving through Bhaskara:
c = 
c =
= 4.97
c =
= -1.97
<u>Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97</u>
Answer:
0.6
Step-by-step explanation:
In this question, the | symbol means "given", so we can phrase the question as "Find the probability that a student watches more than one hour of TV given that they are in the 6th period class"
Next, because there is a 100% chance that the student is in the 6th period class, we can disregard the results of the 3rd period class.
Given that the student is in the 6th period class, there are 15 total students (as 9+6=15 = the sum of the yes and no answers for 6th period) and 9 students that said yes. Therefore, there is a 9/15 = 3/5 = 0.6 probability that a student watches more than 1 hour of TV given that they are in the 6th period class
Answer:
(k - 6)(k + 4)
Step-by-step explanation:
k^2 - 2k - 24
(k - 6)(k + 4)