Answer:
Slope = 2
Step-by-step explanation:
The slope is how many units the y-coordinate goes up per 1 space it moves by the x-coordinate.
In this slope, its x goes to the right one unit while its y goes two up.
.
In this case, the rise is 2 and the run is 1.
Therefore, the slope = 2/1 = 2.
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Answer:10/3
Step-by-step explanation:
5 x 2/3=(5x2)/3=10/3
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: It's in the picture
Step-by-step explanation: