Answer:
![(3,29)](https://tex.z-dn.net/?f=%283%2C29%29)
Step-by-step explanation:
There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is ![x=\frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D)
We have the function ![g(x)=-3x^2+18x+2](https://tex.z-dn.net/?f=g%28x%29%3D-3x%5E2%2B18x%2B2)
From this function, we can find that
![a=-3\\b=18\\c=2](https://tex.z-dn.net/?f=a%3D-3%5C%5Cb%3D18%5C%5Cc%3D2)
We can plug in our know values into the formula to get
![x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-18%7D%7B2%28-3%29%5C%5C%7D%20%5C%5Cx%3D%5Cfrac%7B-18%7D%7B-6%7D%20%5C%5C%5C%5Cx%3D3)
Then we can plug in our x-value to find the y-value of the vertex
![g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29](https://tex.z-dn.net/?f=g%283%29%3D-3%283%29%5E2%2B18%283%29%2B2%5C%5C%5C%5Cg%283%29%3D-3%289%29%2B54%2B2%5C%5C%5C%5Cg%283%29%3D-27%2B54%2B2%5C%5C%5C%5Cg%283%29%3D29)
This means that the vertex would be ![(3,29)](https://tex.z-dn.net/?f=%283%2C29%29)
Answer:
600 %
Step-by-step explanation:
x · 150 ÷ 100 = 900
150x = 90000
x = 600
Answer:
10/a
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The attached result from a graphing calculator shows the other root to be ...
x = -1
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The "system of equations" consists of one equation for the left side function, and one equation for the right side function. The graphs of the two equations intersect at the point where the left and right parts of the given equation are equal to each other. The graphs intersect at x=-1.
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<em>Additional comment</em>
We prefer to subtract one side of the equation from the other, so we have a single function whose value is 0 at the root of interest. Here, that would be ...
(x^3 +x^2) -(-9x -9) = 0
x^2 +x^2 +9x +9 = 0
We would graph y = x^3 +x^2 +9x +9 and have the graphing calculator identify the x-intercept. This is shown in the second attachment. No "system of equations" is required for this.