Answer:
y = 2/3x +6 for x< -3
y = 2/3x +1 for x> 3
Step-by-step explanation:
The graph is a line for x < -3
( - 6,2) and ( -3,4)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point ( -6,2)
y -2 = 2/3(x - -6)
y -2 = 2/3(x +6)
y-2 = 2/3 x +4
y = 2/3x +6 x< -3
The graph is a line for x > 3
(3,3) and ( 6,5)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 5-3)/(6-3) = 2/ (3) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point (6,5)
y -5 = 2/3(x - 6)
y-5 = 2/3 x -4
y = 2/3x +1 x> 3
First, you need to change it from standard form to slope-intercept form. To do this, you have to add 3x to both sides. Now that y is by itself, divide by 5 on both sides. Your equation should now be y=3x+3. Then, graph the points. Your x-intercept should be at (-5,0) and your y- intercept should be at (0,3).
Pound is the unit of measure of passengers car weight
According the statement
The weight of passengers car is 4.5 times 10 superscript 3 units.
from this it is clear that the in simple terms the weight become 4.5 * 10^3
AND
the term 10^3 is used when we measure the weight in pounds.
So, Pound is the unit of measure of passengers car weight.
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The vertex is 
Explanation:
The equation is 
To find the vertex, we need the equation in the form of 
Dividing each term by 2 in the equation
Now, completing the square by adding and subtracting 1, we get,
The first three terms can be written as 
,
![f(x)=2[(x+1)^{2}+\frac{1}{2} ]](https://tex.z-dn.net/?f=f%28x%29%3D2%5B%28x%2B1%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%20%20%5D)
Multiplying 2 into the bracket, we get,
This equation is of the form
Now, we shall find the vertex 
Thus, 
and 
Thus, the vertex is
From the graph shown we can describe the distribution as follows:
Majority of the data points are to the right of the mean, this implies that the median is greater than the mean of the data, thus we can conclude that the correct answer is:
B] <span> The median is greater than the mean, and the majority of the data points are to the right of the mean.</span>
