18 - x is an expression that represents the difference between 18 and an unknown number
Answer:
82.6
Step-by-step explanation:
First you add 53 and 29 which equals 82 then you do 4 plus 2 which equals 6 and so the answer is 82.6
Answer:
its easy it should be 1.25 or well that the answer I got
Answer:
The vertex is the point (4,3)
Step-by-step explanation:
we have
![y=\frac{3}{4}x^{2}-6x+15](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7Dx%5E%7B2%7D-6x%2B15)
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![y-15=\frac{3}{4}x^{2}-6x](https://tex.z-dn.net/?f=y-15%3D%5Cfrac%7B3%7D%7B4%7Dx%5E%7B2%7D-6x)
Factor the leading coefficient
![y-15=\frac{3}{4}(x^{2}-8x)](https://tex.z-dn.net/?f=y-15%3D%5Cfrac%7B3%7D%7B4%7D%28x%5E%7B2%7D-8x%29)
Complete the square. Remember to balance the equation by adding the same constants to each side.
![y-15+12=\frac{3}{4}(x^{2}-8x+16)](https://tex.z-dn.net/?f=y-15%2B12%3D%5Cfrac%7B3%7D%7B4%7D%28x%5E%7B2%7D-8x%2B16%29)
![y-3=\frac{3}{4}(x^{2}-8x+16)](https://tex.z-dn.net/?f=y-3%3D%5Cfrac%7B3%7D%7B4%7D%28x%5E%7B2%7D-8x%2B16%29)
Rewrite as perfect squares
![y-3=\frac{3}{4}(x-4)^{2}](https://tex.z-dn.net/?f=y-3%3D%5Cfrac%7B3%7D%7B4%7D%28x-4%29%5E%7B2%7D)
----> equation in vertex form
The vertex is the point (4,3)