Answer:
-4
Step-by-step explanation:
Ok so you get two sets of proportional pairs: -3 and -1 , and -30 and -10.
The relationship between these is that the first term is 3 times the second. So you divide the first term by 3 to get the second.
So you divide -12 by 3 to get -4.
Hope this helps!
Answer:
12
Step-by-step explanation:
because 17-5=12 so the answer is 12
ANSWER
The graph in option D.
EXPLANATION
The given function is:
![y = 3 {x}^{2} - 12x + 10](https://tex.z-dn.net/?f=y%20%3D%203%20%7Bx%7D%5E%7B2%7D%20%20-%2012x%20%2B%2010)
We complete the square to obtain:
![y = 3( {x}^{2} - 4x) + 10](https://tex.z-dn.net/?f=y%20%3D%203%28%20%7Bx%7D%5E%7B2%7D%20%20-%204x%29%20%2B%2010)
![y = 3( {x}^{2} - 4x + {( - 2)}^{2} ) + 10 - 3 {( - 2)}^{2}](https://tex.z-dn.net/?f=y%20%3D%203%28%20%7Bx%7D%5E%7B2%7D%20%20-%204x%20%2B%20%20%7B%28%20-%202%29%7D%5E%7B2%7D%20%29%20%2B%2010%20%20-%20%203%20%7B%28%20-%202%29%7D%5E%7B2%7D)
![y = 3{( x- 2)}^{2}+ 10 - 12](https://tex.z-dn.net/?f=y%20%3D%203%7B%28%20x-%202%29%7D%5E%7B2%7D%2B%2010%20%20-%2012)
![y = 3{( x- 2)}^{2} - 2](https://tex.z-dn.net/?f=y%20%3D%203%7B%28%20x-%202%29%7D%5E%7B2%7D%20%20-%202)
The graph of this function opens upwards and has its vertex at (2,-2).
The y-intercept is 10.
From the options the graph that satisfies all these properties is D.
Mean = ( 22 + 37 + 49 + 15 + 82 ) / 5
= 41
Hope this helps :)