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:
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Answer:
HJ>KJ>HK
Step-by-step explanation:
Side opposite to the largest angle is the largest.
Side opposite to smallest angle is the smallest.
ang K = 118° ang J = 28°
ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)
118°+28°+angH=180° (Putting the values of ang K & ang J)
146°+angH=180°
ang H=180°-146°
ang H=34°
128°>34°>28°
ang K>ang H>ang J
Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.
Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.
Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.
HJ>KJ>HK.
Answer:B
Step-by-step explanation:if it's a negative 3/4x then in be there is a -4 and there is a -7 so we can do -7 -4 but 4 is a negative so it turns into a positive so it's _
-7+4 and it become a smaller negative so -7+4 = -3. So it has to be B. Hope this gets brainliest
Answer:
Step-by-step explanation:
No the lines are not parallel
Answer:
Step-by-step explanation:
6x=3(x+4) distribute the 3 to the x and the 4 in the parenthesis to get 6x=3x+12 then subtract 3x on both sides to get 3x=12 last step is to divide by 3 on both sides so x is by itself and all you have left is 12/3 which would leave you with x=4
