Answer:

Step-by-step explanation:
The first equation is 
The second equation is 
When we graph these two equations, <em>they will meet at a point which represent the solution of the two equations</em>.
We can solve the two equations simultaneously to determine their point of intersection.
Let us substitute the second equation into the first equation to get;

Multiply through by 2 to get;

Group similar terms to obtain;

Simplify;

Divide both sides by 3;

Put
into the second equation;



Therefore the graphs of the two functions intersect at (2,3)
See graph in attachment.
4,500 mass. if you multiply 0.45 and 10,000 you'll get 4,500
i. The Lagrangian is

with critical points whenever



- If
, then
. - If
, then
. - Either value of
found above requires that either
or
, so we get the same critical points as in the previous two cases.
We have
,
,
, and
, so
has a minimum value of 9 and a maximum value of 182.25.
ii. The Lagrangian is

with critical points whenever
(because we assume
)



- If
, then
. - If
, then
, and with
we have
.
We have
,
,
, and
. So
has a maximum value of 61 and a minimum value of -60.
Answer:
Yes she has just enough
Step-by-step explanation:
3 eggs per each order of omelet
24 orders so 3x24=72