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>
The answer is:
(M - 7) +15
Answer:
The function is "f(x) = 5*x"
Step-by-step explanation:
Everytime we add a number to the independent variable of a function, in this case x, there'll be a common factor between the variable and a pure number. To solve this problem we need to make "(x + 3)" appear. Since we have "f(x+3)" we need to first factor the common denominator. We have:
f(x + 3) = 5*(x + 3)
Therefore,
f(x) = 5*x
Make a diagonal line like this / connected to it make the same / but mirrored or backwards underneath make a connecting like this _
Sphere volume = (4/3) PI * radius ^ 3
sphere volume = (4/3) PI * 5 ^ 3
sphere volume = (4/3) PI * 125
<span><span><span>sphere volume = 523.5987755983
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<span>sphere volume = 523.6 (rounded)
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