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:
Step-by-step explanation:
Given
and 
Required
Which compares them correctly
This is incorrect because 0.63 is greater
This is also incorrect because 0.63 is greater
This is also correct because 0.63 is greater
This is also incorrect because 0.63 is greater
Answer:
We have that y = 21 when x = 11.
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.
33 - 7
y - 11
So
11y = 33 -7
y - 11
Dividing both sides by 11
Y = 3 * 7 = 21
We have that y = 21 when x = 11.
It will take them 3/4 of an hour together.
Camille can mop and vacuum 1/2 of the house per hour.
Lawrence can mop and vacuum 1/2 of the house per hour.
Gaston can mop and vacuum 1/3 of the house per hour.
Working at this rate for x amount of time, they can all three complete 100% of the job:
1/2x+1/2x+1/3x=1
Combining like terms,
1 1/3x = 1
3/3x + 1/3x = 1
4/3x = 1
Divide both sides by 4/3:
4/3x÷4/3 = 1÷4/3
x = 1/1÷4/3
x = 1/1×3/4
x = 3/4
Answer:
-4/8 i think
Step-by-step explanation:
-9/8 + 5/8 = -4/8
