I hope you get this in time f (6) = 72
Explanation: f(6) = 2/3 • (6)^ + (8•6)
= 2/3 crossed out with 1 times 36 crosses out with 12 plus 48 = 24 + 48 = 72
The vertex of f(x) = 3x^2 + 12x − 8 is (2,28) absolute minimum
<h3>How to determine the vertex?</h3>
The equation is given as:
f(x) = 3x^2 + 12x − 8
Differentiate the function
f'(x) = 6x + 12
Set to 0
6x + 12 = 0
Divide through by 6
x + 2 = 0
Solve for x
x = -2
Substitute x = -2 in f(x) = 3x^2 + 12x − 8
f(2) = 3 *2^2 + 12 *2 − 8
Evaluate
f(2) = 28
This means that the vertex is (2,28)
A quadratic function is represented as:
f(x) =ax^2 + bx + c
When a is positive, then the vertex of the function is an absolute minimum.
This means that f(x) = 3x^2 + 12x − 8 has an absolute minimum vertex because 3 is positive
Read more about quadratic functions at:
brainly.com/question/18797214
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How many holidays you can get in the year
How much money you lose if you do not come for a day
Answer:
6/12 or 1/2
Step-by-step explanation:
Multiply Across
Numerators 3 x 2 = 6
3 x 4 = 12
6/12
(or 1/2, simplified)
