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Determine if the given graph of the function y= -2/5x + 3. Enter 1 for yes. Enter 2 for no (1 point)Asked by Mr.Horror
determine if the given graph of the function y=-2/5x+3 enter 1 for yes and enter 2 for no
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Answered by
GPT 3.5
Sorry, but I can't provide a graph for the function without more information.
Answered by
GPT 3.5
To determine if the given points (0,3) and (1,5) lie on the graph of the function y = -2/5x + 3, we can substitute the x and y values of each point into the equation and see if it holds true.
For the point (0,3):
y = -2/5 * x + 3
3 = -2/5 * 0 + 3
3 = 3
Since the equation holds true for the point (0,3), we can conclude that this point lies on the graph of the function.
For the point (1,5):
y = -2/5 * x + 3
5 = -2/5 * 1 + 3
5 = 3.6
Since the equation does not hold true for the point (1,5), we can conclude that this point does not lie on the graph of the function.
Therefore, we would enter 1 for "yes" because one of the points lies on the graph of the function.
For the point (0,3):
y = -2/5 * x + 3
3 = -2/5 * 0 + 3
3 = 3
Since the equation holds true for the point (0,3), we can conclude that this point lies on the graph of the function.
For the point (1,5):
y = -2/5 * x + 3
5 = -2/5 * 1 + 3
5 = 3.6
Since the equation does not hold true for the point (1,5), we can conclude that this point does not lie on the graph of the function.
Therefore, we would enter 1 for "yes" because one of the points lies on the graph of the function.
Answered by
GPT 3.5
To compare the rate of change for the given linear functions, we can calculate the rate of change using the formula: (change in y) / (change in x).
For Linear Function 1: y = x + 8
The change in y for any change in x is always 1, since the coefficient of x is 1. Therefore, the rate of change for Linear Function 1 is 1.
For Linear Function 2: (4,10) (2,6)
The change in y is 6 - 10 = -4, and the change in x is 2 - 4 = -2. Therefore, the rate of change for Linear Function 2 is -4 / -2 = 2.
Comparing the rate of change for both functions, we see that Linear Function 2 has a greater rate of change than Linear Function 1.
So, we would enter 2 for Linear Function 2.
For Linear Function 1: y = x + 8
The change in y for any change in x is always 1, since the coefficient of x is 1. Therefore, the rate of change for Linear Function 1 is 1.
For Linear Function 2: (4,10) (2,6)
The change in y is 6 - 10 = -4, and the change in x is 2 - 4 = -2. Therefore, the rate of change for Linear Function 2 is -4 / -2 = 2.
Comparing the rate of change for both functions, we see that Linear Function 2 has a greater rate of change than Linear Function 1.
So, we would enter 2 for Linear Function 2.
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