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Bas_tet [7]
2 years ago
12

Find the minimum or maximum y-value for f(x)=3x^2+12x+4.

Mathematics
2 answers:
Phoenix [80]2 years ago
8 0
The vertex is (-2,-8)
So the y-value would be -8
Brilliant_brown [7]2 years ago
3 0

\bf \huge \red{ANSWER}

For the function f(x) = {3x}^{2}  + 12x + 4

, we need to find the vertex. The vertex is found by first finding x, and then substituting for x in the function.

\bf \huge \blue{Finding \: x}

x =   \frac{ - b}{2a}

where b is the coefficient of the x term and a is the coefficient of the {x}^{2} term.

x =  \frac{ - 12}{ {2}^{3} }

x =  - 2

\bf \huge \green{finding \: y}

 To find

y

, substitute for

x

in the given function

y  =  {3}^{  {( - 2}^{2}) }   +  {12}^{( - 2)}  + 4

y = 12 - 24 + 4

y =  - 16

\bf \huge \purple{vertex}

The vertex is ( - 2 - 16)

 

Since the coefficient of the {x}^{2}

 term is positive, we have a minimum.

 

The minimum is at -16.

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Vinil7 [7]
The answer is -8. Do you need an explanation?
4 0
3 years ago
Read 2 more answers
Hey, try this one out guys.
MrRissso [65]

Answer:

879cm

Step-by-step explanation:

Radius is 35cm.

Diameter is 70cm.

Pie/Pi is 3.14 and so on.

Perimeter of circle:70×3.14=219.8

219.8×4=879.2

Round Off:879.2cm

6 0
2 years ago
A single standard number cube is tossed. what is the probality of getting a 4 or 5?
xeze [42]
The probability would be 2/6 or 1/3
6 0
2 years ago
9th grade
il63 [147K]

Answer:

May be the second one

Step-by-step explanation:

hope it'll help ☺️

4 0
3 years ago
MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold fo
Vaselesa [24]

Answer:

A = 80   S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610    (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S  (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

750 - 5S + 3S = 610      Combine like terms :    -2S = -140

Solve for S = 70

Substitute into A + S = 150        A + (70) = 150

A = 80

3 0
3 years ago
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