Answer:
Step-by-step explanation:
The graph shows the solution (-6,2)
i.e at x= -6 y=2
Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point
Then,
Option 1
1. 2x - 3y = -6
x= -6 y=2
Then let insert x=-6 and y =2
2(-6)-3(2)
-12-6
-18.
Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system
Option 2
2. 4x - y = 26
Inserting x=-6 and y=2
4(-6)-(2)
-24-2
-26
Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system
Option 3
3. 3x + 2y = -14
Inserting x=-6 and y=2
3(-6)+2(2)
-18+4
-14
Since -14 ≠ -14 then this is the equation of the line and it make up the system.
Option 4
x-y = -2
Inserting x=-6 and y=2
(-6)-(2)
-6-2
-8
Since -8≠ -2, then this is not the equation of the line and doesn't make up the system
Option 5
5. x+y=-4
Inserting x=-6 and y=2
(-6)+(2)
-6+2
-4
Since -4 ≠ -4, then this is the equation of the line and it makes up the system.
Then, there are two option that make up the system
3. 3x + 2y = -14
And
5. x+y=-4
Answer:
The probability that the first failure occurs among the five devices is given by
(a) 9 months =![\frac{9}{15} or =0.6](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B15%7D%20or%20%20%3D0.6)
(b) 12 months=![\frac{12}{15} or = 0.8](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B15%7D%20or%20%3D%200.8)
Step-by-step explanation:
probability is given as the; number of required outcome/ total number of possible outcome.
When multiplying (or dividing) both sides of an inequality by a negative number, the inequality symbol must be reversed/flipped, regardless of how many steps taken when solving the inequality.
If you were to multiply (or divide) by a positive number, then you would not have to reverse/flip the inequality symbol.
The question in the image is incomplete, so I cannot provide a true/false answer, but this information should be what you need to easily choose an answer.
Let me know if you need any clarifications and happy studying~
The slope of the line in its simplest form is 3.
The slope of a line is
.
We need to find the slope of the line in its simplest form.
<h3>What is the slope?</h3>
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.
Select any two points on the line like A and B.
From the below figure it is clear that
Rise = Change in y = -2-(-5) = 3
Run = Change in x = 9-0 = 9
Now, ![\frac{9}{3} =3](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B3%7D%20%3D3)
Therefore, the slope of the line in simplest form is 3.
To learn more about the slope visit:
brainly.com/question/3605446.
#SPJ1
Answer:
133
Step-by-step explanation: