What is the solution set for 6x−2=5x+3 , given the replacement set {2, 3, 4, 5} ?
2 answers:
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Answer:
Shown in the picture
Step-by-step explanation:
A:
Set the value of x to "5" and "30" to find the corresponding values of y (i.e. the altitudes of the plane at 5 or 30 minutes after beginning descent).
B:
Use the the same method to determine the set of coordinates (/ordered pairs) at each of the values for x given in part B of the question.
C:
The initial value is simply the starting value of y, or in other words, the altitude at which the plane begins to descend in this context;
So it will be 0 mins after the beginning of descent of the plane, i.e. when x = 0, therefore the answer is (0, 28000) as an ordered pair or simply 28000 ft.
D:
Rate of change is a fancy or more technical way of referring to the gradient of a function;
In this case of the context of a plane descending, it refers to the change in altitude over time;
This can be calculated using any two ordered pairs (or coordinates as I call them) using the formula of the difference in the y values divided by the difference in the x values.
