The graph of linear equation 2x - 3y = -12 is as shown below.
I this question, we have been given a linear equation 2x - 3y = -12
We need to graph the points.
For x = 1,
2(1) - 3y = -12
2 - 3y = -12
-3y = -14
y = 14/3
For x = 0,
2(0) - 3y = -12
y = (-12)/(-3)
y = 4
For x = -1,
2(-1) - 3y = -12
-3y = -12 + 2
y = (-10) / (-3)
y = 10/3
So, we get coordinates (1, 14/3), (0, 4) and (-1, 10/3)
Now we plot these points.
The graph of linear equation 2x - 3y = -12 is as shown below.
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780 students prefer chocolate milk.
Step-by-step explanation:
Let,
the total percentage = 100%
Students who prefer plain white milk = 35%
Students who prefer chocolate milk = 100 - 35 = 65%
Number of students = 1200
No. of students who prefer chocolate milk = 65% of total students
No. of students who prefer chocolate milk = 
No. of students who prefer chocolate milk = 
No. of students who prefer chocolate milk = 780
780 students prefer chocolate milk.
Keywords: percentage, subtraction
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Answer:
Amplitude is 3
Step-by-step explanation:
in y=-3sin5x
the number in front of sign is always the amplitude. Its not negative 3 because the negative simply means it reflects across the x-axis
Given:
The given system of equations is:
To find:
The solution to this system of equations by graphing.
Solution:
We have,
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
Answer:
The correct option is (C) convenience sample.
Step-by-step explanation:
Convenience sampling is a kind of non-probability sampling, i.e. all items does not have an equivalent chance or probability of being selected. This type of sampling method does not comprises of random collection of items.
Convenience sampling is where we take in items which are easy to reach or collect.
For example, sampling the the students of your own class or collecting sample from your own neighborhood.
In this case the Chief Financial Officer of Harrison Haulers, Inc. asks her staff to inspect the last 200 vouchers of the 2500 payroll vouchers that have been issued since January 1, 2000.
She did so because her staff did not have that much time in hand and it is quite convenient to check the last 200 vouchers.
This is because it is quite easy to review the last 200 payroll vouchers since they would be the most recent ones and quite easily accessible.
So, the sampling method used by the Chief Financial Officer of Harrison Haulers, Inc. is Convenience sampling.
Thus, the correct option is (C).
