Answer:
(-1, -1) Let me know if the explanation didn't make sense.
Step-by-step explanation:
If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left. This means M is only connected to N here and P is only connected to N. So we want to find the slope of these two lines.
MN is easy since their y values are the same, the slope is 0.
NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.
So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0. To find these lines weuse point slope form for those two points. The formula for point slope form is y - y1 = m(x-x1)
y-3 = -4(x+2) -> y = -4x-5
y+1 = 0(x-5) -> y = -1
So now we want these two to intersect. We just set them equal to each other.
-1 = -4x -5 -> -1 = x
So this gives us our x value. Now we can plug that into either function to find the y value. This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)
Answer:
cluster sample is something that refers to a type of sampling method. example is a researcher divides a population into separate groups called clusters
Answer: ![x = 11](https://tex.z-dn.net/?f=x%20%3D%2011)
Solving for variable x
Move all terms containing x to the left, all other terms to the right
<u>Add -2x to each side of the equation</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 3x + -2x = 1x
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 2x + -2x = 0
</u>
<u></u>
<u></u>
<u></u>
<u>Add 61 to each side of the equation.
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: -61 + 61 = 0
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: -50 + 61 = 11
</u>
<u></u>
<u></u>
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<u>Divide each side by 1
</u>
<u></u>
<u></u>
Answer:
N = - 4
V =5
Step-by-step explanation:
![2n + 7 = - 1 \\ 2n = - 1 - 7 \\ 2n = - 8 \\ n = - 4](https://tex.z-dn.net/?f=2n%20%20%2B%207%20%3D%20%20-%201%20%5C%5C%202n%20%3D%20%20-%201%20-%207%20%5C%5C%202n%20%3D%20%20-%208%20%5C%5C%20n%20%3D%20%20-%204)
![4 - 3v = - 19 \\ - 3v = - 19 + 4 \\ - 3v = - 15 \\ v = 5](https://tex.z-dn.net/?f=4%20-%203v%20%3D%20%20-%2019%20%5C%5C%20%20-%203v%20%3D%20%20-%2019%20%2B%204%20%5C%5C%20%20-%203v%20%3D%20%20-%2015%20%5C%5C%20v%20%3D%205)
The number of times a graph crosses the x axis is the same as asking how many zeroes has the function represented by that graph.
The number of zeroes is given by the power of the independent variable, in this case x.
Given that the maximum power of x is 2, then the function has 2 zeroes and the graph crosses the x axis 2 times