Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4x−4y=−4x 4 Select the corre
1 answer:
System of equations helps us to compare two different situations. The system is Independent Consistent System.
<h3>What is System of equation?</h3>Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
Given to us
y = 4x - 4
y = -4x + 4
As we have the two equations, substitute the value of y of both the equations,
4x - 4 = -4x + 4
8x = 8
x = 1
We have the value of x as 1, substitute the value of x in the equation of y,
y = 4(1) - 4
y = 0
Since the two equations have a unique solution, therefore, the system is Independent Consistent System.
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Answer:
D. Both functions are decreasing at the same average rate on that interval
Step-by-step explanation:
The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.
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Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.
