Answer:
It is rational
I'm sorry if it's wrong
Step-by-step explanation:
Rational: Stops
Irrational: Keeps going on
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.
Answer:
yes pls
Step-by-step explanation:
He can buy 15 balloons
His budget (amount of money he can spend) is $50. If he spent $20 on the banner, that means he has $30 left. He wants to spend the rest on balloons $2 each. Simply- 30 divided by 2 which is 15
Answer:
-7, -1, -7
-6, 0, 0
Step-by-step explanation:
x
x+6
7(x+6)
7(x+6)+ x(x+6) = 0
(x+6)(7+x) = 0
x = -6, -7
-6, 0, 0
-7, -1, -7