Answer:
The vertex form is: y = 3(x-2)^2 + 7
. The vertex is (2, 7)
Step-by-step explanation:
Write the function: y = 3x^2 - 12x + 11 in vertex form
The vertex form of a quadratic equation is:
y = m(x - a)^2 + b where (a,b) is the vertex
For y = 3x^2 - 12x + 11
Solve for m
y = 3(x^2 - 4x) + 11
Complete the Square:
y = 3(x^2 - 4x + 4) + 11 - 4
y = 3(x - 2)^2 + 7
The vertex then is (2, 7)
Answer:
263,606.9
Step-by-step explanation:
In 2004 the population in Morganton, Georgia, was 43,000.
(0, 43000)
The population in Morganton doubled by 2010
In 6 years the population is doubled (86000)
(6,86000)

Use (0,43000) in the above equation

Now plug in (6,86000)
![A= a(b)^t\\A= 43000(b)^t\\86000=43000(b)^6\\2=b^6\\b=\sqrt[6]{2} \\b=1.12](https://tex.z-dn.net/?f=A%3D%20a%28b%29%5Et%5C%5CA%3D%2043000%28b%29%5Et%5C%5C86000%3D43000%28b%29%5E6%5C%5C2%3Db%5E6%5C%5Cb%3D%5Csqrt%5B6%5D%7B2%7D%20%5C%5Cb%3D1.12)

Now find out A when t=16 (2020)

this one lol
Step-by-step explanation:
because this shape has 12 sides when every other shape has 13
Answer:
The answer is 14.5
Step-by-step explanation: