Answer:
(b) It is symmetrical about ![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
Step-by-step explanation:
Given
![y = 2(x - 1)^2 - 5](https://tex.z-dn.net/?f=y%20%3D%202%28x%20-%201%29%5E2%20-%205)
See attachment for options
Required
True statement about the graph
First, we check the line of symmetric
![y = 2(x - 1)^2 - 5](https://tex.z-dn.net/?f=y%20%3D%202%28x%20-%201%29%5E2%20-%205)
Expand
![y = 2(x^2 - 2x + 1) - 5](https://tex.z-dn.net/?f=y%20%3D%202%28x%5E2%20-%202x%20%2B%201%29%20-%205)
Open bracket
![y = 2x^2 - 4x + 2 - 5](https://tex.z-dn.net/?f=y%20%3D%202x%5E2%20-%204x%20%2B%202%20-%205)
![y = 2x^2 - 4x -3](https://tex.z-dn.net/?f=y%20%3D%202x%5E2%20-%204x%20-3)
A quadratic equation
has the following line of symmetry
![x = -\frac{b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7Bb%7D%7B2a%7D)
By comparison, the equation becomes:
![x = -\frac{-4}{2*2}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B-4%7D%7B2%2A2%7D)
![x = \frac{4}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4%7D%7B4%7D)
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
Hence, the line of symmetry is at: ![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
(b) is true.
23% can be written as 0.23.
Multiply any number by 0.23 to get 23% of it.
X = number of flyers
50+0.05x=100
0.05x=50
x=1000 flyers
The answer is:
48 / 8 = 6
48 / 6 = 8
Hope this helped☺☺
Answer:
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