Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions 
and 
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction 
shown in purple, then we can plot the second one 
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
Answer: 7 4/9
Step-by-step explanation:
Find least common denominator of 3 and 9, which is 9. So, 11 1/9 - 3 6/9 = 7 4/9
-6.867
You do 13 divided by 15 the plug in the -6 in the front
Let n = 1
then f(1) = 1^1 - 1 + 2 = 2 so it is true for n = 1
for the next number after n ( n+1) we have f(n+1) =
(n+1)^2 - (n+1) + 2
= n^2 + 2n + 1 - n - 1 + 2
= n^2 + n + 2
= n(n+1) + 2
Now n(n+1) must be divisible by 2 because either n is odd and n+1 is even OR n is even and n+1 is odd and odd & even always = an even number.
So the function is divisible by 2 for n+1 We have shown that its true for n = 1 Therefore it must be true for n = 1,2,3,4 ...
True for all positive integers
