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REY [17]
3 years ago
11

Will give brainliest for help

Mathematics
2 answers:
Molodets [167]3 years ago
5 0

Answer:

what the question

Step-by-step explanation:

Naddika [18.5K]3 years ago
3 0
What are you trying to find?
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Determine whether test point (-6,4) is a solution to the linear inequality x+y_<1
tamaranim1 [39]
\bf \begin{array}{llll}
-6&,&4\\
\uparrow &&\uparrow \\
x&&y
\end{array}\qquad x+y\le 1\implies -6+4\le 1\implies -2\le 1

now, is it true that -2 is lesser than 1? if it's true, is a solution, if is false, is not then
7 0
3 years ago
A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running
Alborosie

Answer:

x_1 =2 , x_2=7

Step-by-step explanation:

Consider the revenue function given by R(x_1,x_2) = -5x_1^2-8x_2^2 -2x_1x_2+34x_1+116x_2. 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).

\frac{dR}{dx_1} = -10x_1-2x_2+34 =0

\frac{dR}{dx_2} = -16x_2-2x_1+116 =0

From the first equation, we get, x_2 = \frac{-10x_1+34}{2}.If we replace that in the second equation, we get

-16\frac{-10x_1+34}{2} -2x_1+116=0= 80x_1-2x_1+116-272= 78x_1-156

From where we get that x_1 = \frac{156}{78}=2. If we replace that in the first equation, we get

x_2 = \frac{-10\cdot 2 +34}{2}=\frac{14}{2} = 7

So, the critical point is (x_1,x_2) = (2,7). 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

\frac{d^2R}{dx_1dx_2}= -2 = \frac{d^2R}{dx_2dx_1}

\frac{d^2R}{dx_{1}^2}=-10, \frac{d^2R}{dx_{2}^2}=-16

We have the following matrix,  

\left[\begin{matrix} -10 & -2 \\ -2 & -16\end{matrix}\right].

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 (-10)\cdot (-16) - (-2)(-2) = 156>0 and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum

8 0
4 years ago
Read 2 more answers
Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds di
Tcecarenko [31]

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 0
2 years ago
What is log3 ( x+5)=2?
Naddik [55]

(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

4 0
3 years ago
Callie got 37 pieces of Halloween candy. Her brother got 42 pieces. She wants to estimate to find about how many pieces of candy
Vikki [24]

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:

3 0
3 years ago
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