Since we know f(x)=11 all we need to do is substitute and solve. so
11=-2x+3 subtract 3 from both sides
8=-2x divide both sides by -2
-4=x
sub back in to check
-2(-4)+3=8+3=11 looks good
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.
Answer:
i believe it is 70
Step-by-step explanation:
6×12=72
6-4=2
72-2=70
Answer:
0.509
Step-by-step explanation:
Given that a random sample of 1016 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?"
Of the 1016 adults surveyed, 517 indicated that televisions are a luxury they could do without.
To find out the point estimate of population proportion of adults in the country who believe that televisions are a luxury they could do without.
We find that point estimate is nothing but sample proportion
Sample proportion = favourably voters/total people surveyed
= ![\frac{517}{1016} \\=0.5088\\=0.509](https://tex.z-dn.net/?f=%5Cfrac%7B517%7D%7B1016%7D%20%5C%5C%3D0.5088%5C%5C%3D0.509)
Answer:
False
Step-by-step explanation:
Although it is true that y=-2 is a horizontal line, it does not have an undefined slope. Because it is a horizontal line, it has a slope of 0.