Answer:
Age= 15
Step-by-step explanation:
Let a be for age at the moment
(a-3)^2 =6(a+9)
a^2-6a+9=6a+54
a^2-12a-45
(a-15)(a+3)
a=15 or a=-3
Age cannot be negative (-)
Therefore
Age =15
Answer: f(x)= 3/2x-2
Step-by-step explanation:
So if you know how to graph on a calculator and put all the points in, it'll give you all the points plotted and when i did that i got
f(x)= 3/2x-2
Answer:
its 4/1
Step-by-step explanation:
The general formula for a equation of the form:

is:
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
In this case we notice that a=1, b=-4 and c=3. Plugging this values in the general formula we get:
![\begin{gathered} x=\frac{-(-4)\pm\sqrt[]{(-4)^2-4(1)(3)}}{2(1)} \\ =\frac{4\pm\sqrt[]{16-12}}{2} \\ =\frac{4\pm\sqrt[]{4}}{2} \\ =\frac{4\pm2}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B-%28-4%29%5Cpm%5Csqrt%5B%5D%7B%28-4%29%5E2-4%281%29%283%29%7D%7D%7B2%281%29%7D%20%5C%5C%20%3D%5Cfrac%7B4%5Cpm%5Csqrt%5B%5D%7B16-12%7D%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B4%5Cpm%5Csqrt%5B%5D%7B4%7D%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B4%5Cpm2%7D%7B2%7D%20%5Cend%7Bgathered%7D)
then:

and

Therefore, x=3 or x=1.