There you go
PLEASE MARK IT AS A BRILLIANT ANSWER
Answer:
(-1,-6)
Step-by-step explanation:
We have the following function:
![f(x) = x^{2} + 6x + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E%7B2%7D%20%2B%206x%20%2B%203)
The following transformation is applied
![g(x) = f(x - 2)](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%28x%20-%202%29)
So
![g(x) = f(x - 2) = (x - 2)^{2} + 6(x - 2) + 3](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%28x%20-%202%29%20%3D%20%28x%20-%202%29%5E%7B2%7D%20%2B%206%28x%20-%202%29%20%2B%203)
![g(x) = x^{2} - 4x + 4 + 6x - 12 + 3](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%5E%7B2%7D%20-%204x%20%2B%204%20%2B%206x%20-%2012%20%2B%203)
![g(x) = x^{2} + 2x - 5](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%5E%7B2%7D%20%2B%202x%20-%205)
For a second order function in the format:
![g(x) = ax^{2} + bx + c](https://tex.z-dn.net/?f=g%28x%29%20%3D%20ax%5E%7B2%7D%20%2B%20bx%20%2B%20c)
The vertex is:
![V = (x_{v}, g(x_{v})](https://tex.z-dn.net/?f=V%20%3D%20%28x_%7Bv%7D%2C%20g%28x_%7Bv%7D%29)
In which
![x_{v} = -\frac{b}{2a}](https://tex.z-dn.net/?f=x_%7Bv%7D%20%3D%20-%5Cfrac%7Bb%7D%7B2a%7D)
In this problem
![a = 1, b = 2](https://tex.z-dn.net/?f=a%20%3D%201%2C%20b%20%3D%202)
So
![x_{v} = -\frac{2}{2*1} = -1](https://tex.z-dn.net/?f=x_%7Bv%7D%20%3D%20-%5Cfrac%7B2%7D%7B2%2A1%7D%20%3D%20-1)
Then
![g(x_{v}}) = g(-1) = (-1)^{2} +2(-1) - 5 = -6](https://tex.z-dn.net/?f=g%28x_%7Bv%7D%7D%29%20%3D%20g%28-1%29%20%3D%20%28-1%29%5E%7B2%7D%20%2B2%28-1%29%20-%205%20%3D%20%20-6)
So the correct answer is:
(-1,-6)
(x+7)(x+3) so therefore you set each equation = 0...
x + 7 = 0
x + 3= 0
and solve
x = -3
x = -7
Answer:
its 7
Step-by-step explanation:
7
Answer:
The nearest penny will be <u>£9146.6</u>
Step-by-step explanation:
A = P[1 + (r/n)]^(nt)
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
A = 8300 [ 1 + {1.4 / (7*100)}]^(7*7)
A = 8300 [ 1 + {0.002}]^(49)
A= 8300 [ 1.002 ]^(49)
A = 8300 [ 1.102 ]
A = £9146.6
What is Compound Interest (CI) ?
Compound Interest is all about adding interest to principal amount of loan , deposit .