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OLEGan [10]
3 years ago
5

Plz help me plz it’s really important

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Answer:

The circle at point-2 is not filled which means-2 is not included whereas the circle at point 5 is filled which means 5 is included in the interval of the given line.

The interval notation for the above line

<h3>-2<x≤5</h3>

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In this region, are the events "silver" and "black" mutually exclusive?
Vera_Pavlovna [14]
Do not click that link!!
4 0
2 years ago
Which ordered pair in the form (x, y) is a solution of this equation?
laiz [17]

Answer:

Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.

Step-by-step explanation:

A. (-2,-3)

3 * (-2) - 4 * (-3) = 21

-6 + 12 = 21

6 = 21 <u>not equal</u>

B. (0,7)

3 * 0 - 4 * 7 = 21

0 - 28 = 21

- 28 = 21 <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u>

C. (7,0)

3 * 7 - 4 * 0 = 21

21 - 0 = 21

21 = 21 <u>equal</u>

6 0
2 years ago
Can someone help me pleaseee :)<br><br> u have to make the questions become y = mx + b
Leona [35]

Answer:

3. 8y= -7x -12

4. -3y= 4x -12

5. 7y= -2x +4

Do you want me to do the rest?

did you got it??

The rest are:

6. -3y =6x +12

7. -10y= 5x+20

8. 4y=2x +12

5 0
3 years ago
How much is a meter in 200 feets
jarptica [38.1K]

Answer:

656.168

Step-by-step explanation:

****1 meter is 3.28084 feet*****

3.28084 x 200

answer!!!!! = 656.168

5 0
3 years ago
Read 2 more answers
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
3 years ago
Read 2 more answers
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