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.
Answer:
The slope is 45.
Step-by-step explanation:
Using the slope formula by two points:
m=(y2-y1)/(x2-x1)
m=(210-120)/(4-2)
m=45
Answer:
19 degrees
Step-by-step explanation:
You know the sum of the interior angles of a triangle is 180 degrees.
So then you can make the equation 82 + 41 + 3x = 180
By solving for x, you get the answer:
123 + 3x = 180
3x = 57
x = 19 degrees
Hope dis helps ya
Testing random samples of lightbulbs produced by a company to confirm they work and testing a new drug on a random sample of patients to see how effective it is at curing the flu are examples of inferential statistics. The correct option among all the options that are given in the question are option "C" and option "E".