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Tthe inequality that describes this graph is y ≤ 1/3x - 4/3
<h3>How to determine the linear inequality represented by the graph?</h3>The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(0, -1.3) and (3, -0.3)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-0.3 + 1.3)/(3 - 0)
Evaluate
m = 1/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1/3(x - 0) - 1.3
Evaluate
y = 1/3x - 4/3
From the graph, we have the following highlights:
- The line of the graph is a closed line
- The upper part is shaded
The first highlight above implies, the inequality can be any of ≥ and ≤
While the second highlight above implies, the inequality is ≤
Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3
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(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.
<h3>How to calculate temperature?</h3>The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.
The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location
(x, y, z) is a point on the sphere, the temperature at this point is given by
Where k is constant, then we have
T(1, 2, 2) = k/3 = 170
k = 510
So
Then we have
Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)
So u = (3/√19, 1/√19, 3/√19)
Then we get
The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction T. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.
More about the temperature link is given below.
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