Answer:
10.50
Step-by-step explanation:
Answer:
Its D
Step-by-step explanation:
The word association is related to independence test
Given:
The table of values.
To find:
The slope and y-intercept for this line.
Solution:
From the given table, we have three (-4,6), (0,3), (4,0).
We need to find the slope and y-intercept for this line.
Consider any two points from the given points.
Consider the line passes through the points (0,3) and (4,0). So, the slope of the line is:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\dfrac{0-3}{4-0}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B0-3%7D%7B4-0%7D)
![m=\dfrac{-3}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-3%7D%7B4%7D)
The line passes through the point (0,3). Here the x-coordinate is 0. So, the y-intercept is 3.
Therefore, the slope of the line is
and the y-intercept of the line is 3.
You can draw both lines y=-7x+12 and y=-2/3x –2/3 and define which part of the plane satisfies the unequalities y ≤ –7x + 12 and y ≤ –2/3x –2/3. For example, choosing point (0,0) you can see that
0 ≤ –7·0 + 12 (is true) and 0 ≤ –2/3·0 –2/3 (is false). This means that (0,0) is a solution of the first unequality and isn't a solution of the second unequality, hence (0,0) belongs to the shaded part of the plane defined by the first unequality and doesn't belong to the shaded part defined by the second unequality. Both (black on the image) parts intersect and the common area (red on the picture) is the <span>region that describes the solutions of the system of inequalities.</span>
The answer is 9, hope this helped <3