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 ).
So the distance between subway stop and house is 19 units
Step-by-step explanation:
The distance formula will be used to calculate the distance between home and subway.
Here (x1,y1) are the coordinates of first point
and
(x2,y2) are the coordinates of second point
Given
(x1,y1) = (7, -6)
(x2,y2) = (-9,5)
Putting the values in the formula
Rounding off to nearest unit gives us 19.
So the distance between subway stop and house is 19 units
Keywords: Distance, distance formula
Learn more about distance at:
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Combining three equal groups means that we will mainly depend on multiplying the quantity by 3 to get the total
<u><em>Examples are shown below:</em></u>
1- Mrs Nadia teaches three classes. Each class has 25 student. How many students does Mrs Nadia teach in total?
<u>In this problem</u> we will be combining three equal groups of students where each group has 25 students, therefore:
Total number of students = 3 * 25 = 75 students
2- John has three bags of candies. Each bag contains 10 pieces of candies. How many candies does John has?
<u>In this problem</u> we will be combining three equal groups of candies where each group has 10 pieces, therefore:
Total number of candies = 3 * 10 = 30 candies
Hope this helps :)
Answer:
31.3 feet
Step-by-step explanation:
-23.6+13.4 = -10.2
-10.2 - 21.1 = -31.3
