
now, is it true that -2 is lesser than 1? if it's true, is a solution, if is false, is not then
Answer:

Step-by-step explanation:
Consider the revenue function given by
. We want to find the values of each of the variables such that the gradient( i.e the first partial derivatives of the function) is 0. Then, we have the following (the explicit calculations of both derivatives are omitted).


From the first equation, we get,
.If we replace that in the second equation, we get

From where we get that
. If we replace that in the first equation, we get

So, the critical point is
. We must check that it is a maximum. To do so, we will use the Hessian criteria. To do so, we must calculate the second derivatives and the crossed derivatives and check if the criteria is fulfilled in order for it to be a maximum. We get that


We have the following matrix,
.
Recall that the Hessian criteria says that, for the point to be a maximum, the determinant of the whole matrix should be positive and the element of the matrix that is in the upper left corner should be negative. Note that the determinant of the matrix is
and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum
Answer:
1021
Step-by-step explanation:
1+1=2 and it needs to add up to 4 so you add in another 2 in the only place left for it to go which is in the tens place because the first and last number have to be the same and 0 has to go in the hundreds place.
(3) is the base of the new equation
(x + 5) is the answer of the new equation
(2) is the exponent on base (3)
;The new equation after simplifying is...,
; 3^2 = x + 5
; 9 = x + 5
; x = 9 - 5
;Hence...x = 4
Answer:
Callie needs to hide both her and her brother's candy from him so that none is eaten/stolen. Then count each stash separately. Put the candies in groups of 10 to quickly establish that over 70 pieces were collected. Callie should steal a stack from her brother's pile while he's not looking. Just calmly shift one stack of ten candies to her side. She should announce she got 47 pieces and her brother only 32.
Step-by-step explanation: