On monday caroline spent 2/3hour riding her bike and 1 3/4 doing homework how many more hours did caroline spend doing homework
2 answers:
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Answer:
• The function is a linear function
• The function changes at a constant rate
Step-by-step explanation:
A graph of the function shows it to be a straight line (linear function). Such a function always changes at a constant rate. The line goes downward to the right, so the function is a decreasing function.
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"changes at a constant rate" and "linear function" are two different ways of saying the same thing: the graph of the function is a straight line.
Question 1
The given system of equations is:
Equate the two equations:
Rewrite in standard form:
When we put x=0, in y=3x +6, we get:
One solution is (0,6)
When we put x=-2, into y=3x+6, we get:
Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is
Let us put x=-x,
This gives:
We can observe that:
This is the property of an even function.
Question 3:
The given function is
The average rate of change of f(x) from x=a to x=b is given as:
This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change
The average rate of change is 11