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cdyshaylia55
24.04.2020 •
Mathematics
I need help asap!! thanks, 15 pts
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Ответ:
the 2nd and 3rd
Step-by-step explanation:
3x-4>5 -8x-19<21
+4 +4 +19 +19
3x>9 -8x<40
--- ---
3 3 -8 -8
x<3 x>-5
Ответ:
V = -5600t + 148,950
Step-by-step explanation:
In this question, we are expected to give an equation or relation that relates the value of a bulldozer V to the time it took for it to have depreciated to that particular value.
This question is seeking to establish a linear model to relate the depreciated value V to the time taken t.
Now, since it is a linear model, let’s picture a plot. A graphical plot that has time t on the x axis and Value V on the y axis.
At year 0, when the bulldozer was newly bought, it has a value of $148,950.
Writing this in form of coordinates, we can say that the point here on the Cartesian plane would be (0, 148,950)
Now, after 24 years, depreciated value is $14,550. This means that the point we could have here is (24, 14,550)
Now, we can calculate the slope of the line to be modeled using these two points;
Gradient of linear line= (14,550-148,950)/(24 - 0) = -5,600
Mathematically, the equation of a linear model is y = mx + c
Where m is the gradient of the line and c is the y intercept of the line. Here, we can identify the gradient as -5,600 , y-intercept as value of bulldozer at when t is 0 years, y is our value V and x is our time t.
Putting the equation together, we have;
V = -5600t + 148,950
We should understand that our slope is negative because, the value of the bulldozer is expected to decrease as the years toll by