The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )= ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).
Answer:
Step 2 contains error in the given problem.
Step-by-step explanation:
Given expression is:

Step 1: identifying the LCM.
The LCM identified is 6.
This step is correct.
In the next step, we multiply the LCM with each term of the equation.
Step 2:

However,
In the given solution, the LCM is not multiplied with each term.
Hence,
Step 2 contains error in the given problem.
Answer: $11.45
Step-by-step explanation:
Food pill: $9
Tax: 6%
Tip: 20%
\\x=11.45](https://tex.z-dn.net/?f=x%3D%289%29%2B%289%29%280.06%29%2B%5B%289%29%2B%289%29%280.06%29%5D%280.20%29%5C%5Cx%3D11.45)
Answer:
y=7x+8
Step-by-step explanation:
Find the slope of the original line and use the slope-intercept form