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:
9/5
Step-by-step explanation
18 divided by 10 equals 1.8 and 1.8 is 9/5 in fraction form.
Answer:
mean: 7.62
median: 8
mode: 9
Step-by-step explanation:
first you have to put the data set in order:
6,6,6,6,7,7,8,8,9,9,9,9,9
the mode is the most often repeated number in a data set so the mode in this data set would be 9. The median is the middle number in the data set. The middle number in this data set is 8. Lastly, the mean in a data set is all of the numbers in the data set added together and then divided by how many numbers are in the set. The equation for this data set would be 99/13= 7.62
hope this helps!!
Answer:
y= 5x
Step-by-step explanation:
since each x number is 1/5 of the y, it's 5 times x = y
Answer:
C. 70°
Step-by-step explanation:
The inscribed angle marked 15° intercepts an arc that is double that measure, so the intercepted arc on the right is 2×15° = 30°.
The external angle marked 20° is half the difference of the intercepted arcs, so is ...
20° = (1/2)(x - 30°)
40° = x - 30° . . . . . . multiply by 2
70° = x . . . . . . . . . . . add 30°
The value of x is 70°.