Answer:
false
Step-by-step explanation:
correlation doesn't mean causation-
one doesn't necessarily affect the other, can just be conditions (such as weather) or coincidence
Refer to this previous solution set
brainly.com/question/26114608
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Problem 4
Like the three earlier problems, we'll place the kicker at the origin and have her kick to the right. The two roots in this case are x = 0 and x = 20 to represent when the ball is on the ground.
This leads to the factors x and x-20 and the equation ![y = ax(x-20)](https://tex.z-dn.net/?f=y%20%3D%20ax%28x-20%29)
We'll plug in (x,y) = (10,28) which is the vertex point. The 10 is the midpoint of 0 and 20 mentioned earlier.
Let's solve for 'a'.
![y = ax(x-20)\\\\28 = a*10(10-20)\\\\28 = -100a\\\\a = -\frac{28}{100}\\\\a = -\frac{7}{25}\\\\](https://tex.z-dn.net/?f=y%20%3D%20ax%28x-20%29%5C%5C%5C%5C28%20%3D%20a%2A10%2810-20%29%5C%5C%5C%5C28%20%3D%20-100a%5C%5C%5C%5Ca%20%3D%20-%5Cfrac%7B28%7D%7B100%7D%5C%5C%5C%5Ca%20%3D%20-%5Cfrac%7B7%7D%7B25%7D%5C%5C%5C%5C)
This then leads us to:
![y = ax(x-20)\\\\y = -\frac{7}{25}x(x-20)\\\\y = -\frac{7}{25}x*x-\frac{7}{25}x*(-20)\\\\y = -\frac{7}{25}x^2+\frac{28}{5}x\\\\](https://tex.z-dn.net/?f=y%20%3D%20ax%28x-20%29%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B7%7D%7B25%7Dx%28x-20%29%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B7%7D%7B25%7Dx%2Ax-%5Cfrac%7B7%7D%7B25%7Dx%2A%28-20%29%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B7%7D%7B25%7Dx%5E2%2B%5Cfrac%7B28%7D%7B5%7Dx%5C%5C%5C%5C)
The equation is in the form
with ![a = -\frac{7}{25}, \ b = \frac{28}{5}, \ c = 0](https://tex.z-dn.net/?f=a%20%3D%20-%5Cfrac%7B7%7D%7B25%7D%2C%20%5C%20b%20%3D%20%5Cfrac%7B28%7D%7B5%7D%2C%20%5C%20c%20%3D%200)
The graph is below in blue.
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Problem 5
The same set up applies as before.
This time we have the roots x = 0 and x = 100 to lead to the factors x and x-100. We have the equation ![y = ax(x-100)](https://tex.z-dn.net/?f=y%20%3D%20ax%28x-100%29)
We'll use the vertex point (50,12) to find 'a'.
![y = ax(x-100)\\\\12 = a*50(50-100)\\\\12 = -2500a\\\\a = -\frac{12}{2500}\\\\a = -\frac{3}{625}\\\\](https://tex.z-dn.net/?f=y%20%3D%20ax%28x-100%29%5C%5C%5C%5C12%20%3D%20a%2A50%2850-100%29%5C%5C%5C%5C12%20%3D%20-2500a%5C%5C%5C%5Ca%20%3D%20-%5Cfrac%7B12%7D%7B2500%7D%5C%5C%5C%5Ca%20%3D%20-%5Cfrac%7B3%7D%7B625%7D%5C%5C%5C%5C)
Then we can find the standard form
![y = ax(x-100)\\\\y = -\frac{3}{625}x(x-100)\\\\y = -\frac{3}{625}x*x-\frac{3}{625}x*(-100)\\\\y = -\frac{3}{625}x^2+\frac{12}{25}x\\\\](https://tex.z-dn.net/?f=y%20%3D%20ax%28x-100%29%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B3%7D%7B625%7Dx%28x-100%29%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B3%7D%7B625%7Dx%2Ax-%5Cfrac%7B3%7D%7B625%7Dx%2A%28-100%29%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B3%7D%7B625%7Dx%5E2%2B%5Cfrac%7B12%7D%7B25%7Dx%5C%5C%5C%5C)
The graph is below in red.