Answer:
f'(x) = 5 x<4
= 2x 4<x<6
= 4 x>6
Domain is all real numbers except 4 and 6
Step-by-step explanation:
We need to find the derivative of the piecewise function
f'(x) = 5 x<4
= 2x 4≤x≤6
= 4 x>6
Is the function continuous at 4
f(4-) = 5(4) - 6 = 20-6 = 14
f(4+) = 4^2 -2 = 16-2 = 14
this is continuous, so there is no problem with the continuity here
Is the function continuous at
f(6-) = 6^2 -2 = 36-2 = 34
f(6+) = 4(6)+10 = 24+10 = 34
this is continuous, so there is no problem with the continuity here
Now we need to check the derivatives
f'(4-) = 5
f'(4+) = 8
This is not continuous, so we get a piecewise definition for the derivative excluding 4
f'(6-) =12
f'(6+) =4
This is not continuous, so we get a piecewise definition for the derivative excluding 6
Answer:
12 ounces
Step-by-step explanation:
2+3=5
30÷5=6
6×2=12
Answer:
C is 5x+13 D is 5x+12
Step-by-step explanation:
expand brackets
Since x and y must be positive, 7x and 11y are positive either. That means 7x + 11y > 0. Then we would obtain N > 0 because 7x + 11y = N. That also means N must be positive. So if we set N to be zero or negative, there would be no solution. Thus, to produce an answer of No solution, the highest number N could be is 0.
Answer:
2/3
Step-by-step explanation:
If you divided 2 by 3, you will get 0.6 repeating.
