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)
$112 / $1400 investment = .08 or 8 Percent interest rate.
Answer: x=3 and y=5
Step-by-step explanation: 11x-6y=3, 5x-8y=-25
11x-6y+6y=3+6y
11x/11=3/11+6y/11
x=3+6y/11
5(3+6y/11)-8y(11)/11
5(6y+3)-88y/11
30y+15-88y/11
88y-30y
58y
11(15-58y)/11=11(-25)
15-58y-15=-275-15
-58y/-58=-290/-58
y=5
x=3+6(5)/11
3+30
33
33/11
x=3
x=3, y=5
A translation
(I'm assuming that this isn't multiple choice since you didn't include the answer choices.)
Answer: 37
Step-by-step explanation:
