The Lagrangian for this function and the given constraints is
which has partial derivatives (set equal to 0) satisfying
This is a fairly standard linear system. Solving yields Lagrange multipliers of
and
, and at the same time we find only one critical point at
.
Check the Hessian for
, given by
is positive definite, since
for any vector
, which means
attains a minimum value of
at
. There is no maximum over the given constraints.
None of those is. The expression 4 In x + In 3 – In r
is equivalent to the epression <em>ln( 3x⁴ / r)</em> .
Answer:
-35
Step-by-step explanation:
-5 (x + 2) + 5 (x -5)
Expand:
= -5x - 10 + 5 (x - 5)
Expand once more:
= -5x - 10 + 5x - 25
Simplify:
-35
The answer is F because my brother is in high school and he knows the's things
Answer:
. We assume, that the number 260 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 260 is 100%, so we can write it down as 260=100%.
4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.
5. Now we have two simple equations:
1) 260=100%
2) x=6.75%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
260/x=100%/6.75%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 6.75% of 260
260/x=100/6.75
(260/x)*x=(100/6.75)*x - we multiply both sides of the equation by x
260=14.814814814815*x - we divide both sides of the equation by (14.814814814815) to get x
260/14.814814814815=x
17.55=x
x=17.55
now we have:
6.75% of 260=17.55
Step-by-step explanation:
