A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
postive 12
Step-by-step explanation:
16-4=12
Answer:
y = 0.008x^2 + 0.518x + 131.886
Step-by-step explanation:
- Make sure your Plot 1 is ON. Select the Scatter Plots and the appropriate lists.
- Clear all functions in [Y=]
- Input data in L1 and L2. Go to [Stat] [Enter] to input data.
- Graph data points. ...
- Choose a regression from the list in [Stat] "CALC". ...
- Go to [ZOOM] "9: ZoomSTat" to view the data with the regression curve.
(credit: CPM Educational Program)
Option B: 67.02 cubic inches
<h2>
Given that:</h2>
The diagram consists of two parts:
- First a cone on the top with 12 inches height and 4 inches diameter.
- Second a semi sphere with diameter of 4 inches.
<h2>Calculations:</h2>
The amount of foams that can be stuffed with foam is total volume of both the containers.
Volume of the given cone of 12 inches height and 4 inches diameter can be given as:
Volume of the semi sphere of 4 inches diameter can be given as:
Thus total volume is 50.265 + 16.755 = 67.02 cubic inches.
Thus option B : 67.02 cubic inches is the needed volume.
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brainly.com/question/1315822