Hey there!
To figure out what "x" means, you can divide the numbers 126 and 14 . . .
126 divided by 14 = 9
9 x 14 = 126
9 = x
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x = 9
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Hope this helps you.
Have a great day!
Answer:
The standard equation of the parabola is:
![y=-\frac{3}{2}x^2+12x-18](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx%5E2%2B12x-18)
Step-by-step explanation:
An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.
We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.
![y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2](https://tex.z-dn.net/?f=y-y_%7Bvertex%7D%3Da%5C%2C%28x-x_%7Bvertex%7D%29%5E2%5C%5Cy-6%3Da%5C%2C%28x-4%29%5E2)
Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:
![y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}](https://tex.z-dn.net/?f=y-6%3Da%5C%2C%28x-4%29%5E2%5C%5C0-6%3Da%5C%2C%282-4%29%5E2%5C%5C-6%3Da%5C%2C4%5C%5Ca%3D-%5Cfrac%7B6%7D%7B4%7D%20%3D-%5Cfrac%7B3%7D%7B2%7D)
Then the equation of the parabola becomes:
![y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18](https://tex.z-dn.net/?f=y-6%3D-%5Cfrac%7B3%7D%7B2%7D%20%5C%2C%28x-4%29%5E2%5C%5Cy-6%3D-%5Cfrac%7B3%7D%7B2%7D%20%28x%5E2-8x%2B16%29%5C%5Cy-6%3D-%5Cfrac%7B3%7D%7B2%7Dx%5E2%2B12x-24%5C%5Cy%3D-%5Cfrac%7B3%7D%7B2%7Dx%5E2%2B12x-18)
False because you should always make sure a company has medical and detal procedures
Answer:
9x-2
Step-by-step explanation:
Since you are adding the two functions, you should first start adding like terms. 4x + 5x is 9x. -8 + 6 is -2. Thus the value of (f+g)(x) is 9x-2.
Answer:
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Step-by-step explanation: