<h3>
Answer: (3, 0)</h3>
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Explanation:
Let's isolate x in the first equation.
x-2y = 3
x = 3+2y
Then we'll plug this into the second equation
Afterwards, solve for y.
2x + 4y = 6
2(3+2y)+4y = 6
6+4y+4y = 6
8y+6 = 6
8y = 6-6
8y = 0
y = 0/8
y = 0
Use this to find x.
x = 3+2y
x = 3+2(0)
x = 3
The solution is therefore (x,y) = (3, 0)
If you were to graph both lines, then they would intersect at the location (3,0).
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Checking the answer:
Plug x = 3 and y = 0 into the first equation.
x-2y = 3
3-2(0) = 3
3 - 0 = 3
3 = 3 that works
Repeat for the other equation
2x+4y = 6
2(3) + 4(0) = 6
6 + 0 = 6
6 = 6 that works as well
Both equations are true when (x,y) = (3,0).
The solution is confirmed.
Answer:
The side length is 11 inches
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
1331 in ^3 = s^3
Take the cube root of each side
(1331 in ^3 ) ^1/3 = s^3 ^ 1/3
11 in = s
Answer: 14ft
Step-by-step explanation: 12*5 = 60, 840/60 = 14ft
Answer:
The graph is attached.
Step-by-step explanation:
Let be "x" the number of metamorphic samples and "y" the number of sedimentary samples.
You know that you want to to have at most 25 samples, then:
And you want to have at least 3 times as many sedimentary samples as
metamorphic samples, then:
Therefore, the system of inequalities that model the situation is:
The y-intercept of the line 
is:
And the x-intercept is:
Knowing this, you can graph the line
The y-intercept of the line 
is:
And the x-intercept is:
Knowing this, you can graph the line.
Observe the graph attached, where the solution of the system of inequalities is the intersection of the regions.
