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
Answer:
True!!
Step-by-step explanation:
Solution :
Given, the equation 
.
To graph the equation on the coordinate plane, we first need to derive the different points of the equation ,
The graph plotted using these points is shown in the figure,
Answer:
Credit cards allows us to make purchases today and pay for them later. If it takes us longer than a month to pay off our balance then we will have to pay an extra fee in the form of a finance charge.
Since finance charges is the way of charging us by the credit card issuing authority for carrying a balance on our credit card and not paying it off completely at the end of each month.
Thus, the simple way to avoid finance charges is to not carry a balance and this can be done by paying off the carrying amount on the credit card at the end of each month.
<h3>
Answer: -1</h3>
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Explanation:
First we need to find the slope of this given line.
The two points on here are (0,-3) and (3,0)
Apply the slope formula
m = (y2-y1)/(x2 - x1)
m = (0-(-3))/(3-0)
m = (0+3)/(3-0)
m = 3/3
m = 1
The slope of the given line is 1. The negative reciprocal of this is -1, which is the perpendicular slope.
Side Note: Any two perpendicular lines always have their slope multiply to -1, as long as neither line is vertical.
