0.6 is just what it seems like. 3/4 needs to be turned into a decimal for it to be compared with 0.6. 3/4 equates to 0.75, so we can see that 0.6 < 0.75.
5/4(20x+12) =-35
5/4•20x+5/4•12=-35
25x+15=-35
25x+15-15=-35-15
25x=-50
x=-2
Answer:
Step-by-step explanation:
The type of model that best fits the given situation is; A linear equation Model
<h3>What is the model of the equation?</h3>
Right inside the local reservoir we will have an initial amount of water A.
Now, for every hour that passes by, the amount of water in the reservoir decreases by 500 gals.
Thus, after t hours, the amount of water in the reservoir is expressed as:
W = A - 500gal * t
This is clearly a linear equation model and so we can conclude that the model that fits best in the given situation is a linear model.
The domain of this model is restricted because we can't have a negative amount of water in the reservoir, and as such the maximum value of t accepted is: W = 0 = A - 500gal*t
t = A/500 hours
Therefore, the domain of this linear relation is: t ∈ {0h, A/500 }
Read more about Equation model at; brainly.com/question/25896797
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For a better understanding of the solution provided here please go through the diagram in the file that has been attached.
As can be clearly seen from the question and the graph, the area is bounded by a straight line 
which passes through the origin, the y axis and the horizontal line 
.
As we can see from the graph, this is a right triangle. To find the point of intersection of the horizontal line y=6 and the line 
, we will have to equate the two as:
Therefore, 
Thus, 
Hence the point of intersection is (12,6) which is depicted on the graph too.
As this is a case of a simple right triangle, the area of the bounded region will thus be:
Let the base be the y=6 line whose length is 12 and let height be the y axis whose length is 6, thus, the area will be:
squared units.
