She forgot the 0 in the middle, which is why she got 192. The correct answer is 1812
Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
Answer: h(x) = 
<u>Step-by-step explanation:</u>
6x + y = 4x + 11y
<u> -y </u> <u> -y </u>
6x = 4x + 10y
<u>-4x </u> <u>-4x </u>
2x = 10y
<u>÷10 </u> <u> ÷10 </u>
= y
Since "y" represents h(x), then h(x) = 
200 because 5000/200 is 25 and add the profit to that to get 45. 9000/200 is 45. Sorry if that doesn't make sense :/
The domain is two and the range is -4