1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BaLLatris [955]
2 years ago
5

Identify the coordinates of the vertex of f(x) = 3x2 + 12x − 8, and identify whether it is an absolute minimum or absolute maxim

um. (2, 28), absolute minimum Correct Answer (−2, −20), absolute minimum Incorrect Response (−2, −20), absolute maximum (2, 28), absolute maximum
Mathematics
1 answer:
DaniilM [7]2 years ago
7 0

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

#SPJ1

You might be interested in
What is the solution to this equation?<br> x/-4=8
guapka [62]
X=32

Explanation:
When you change sides, if in the left side you are multiplying, when you transfer it to right side you divide. Same thing should be done for addition subtraction.

So /-4 was division and negative number

When we transfered it, it became positive multiplication number

8 0
3 years ago
Help plz.Will give Brainlist. .................
gavmur [86]

Answer:

16f/h

+ 112/h

Step-by-step explanation:

thats is I just get it a week ago on a test

6 0
3 years ago
Is 3 1/2 cups more or less than 1 liter? Note: 1 cup is about 236.6 milliliters
Evgesh-ka [11]
Less by far because 3.5 cups would be less than half

6 0
3 years ago
Read 2 more answers
Sample spaces For each of the following, list the sample space and tell whether you think the events are equally likely:
Schach [20]

Answer and explanation:

To find : List the sample space and tell whether you think the events are equally likely ?

Solution :

a) Toss 2 coins; record the order of heads and tails.

Let H is getting head and t is getting tail.

When two coins are tossed the sample space is {HH,HT,TH,TT}.

Total number of outcome = 4

As the outcome HT is different from TH. Each outcome is unique.

Events are equally likely since their probabilities \frac{1}{4} are same.

b) A family has 3 children; record the number of boys.

Let B denote boy and G denote girl.

If there are 3 children then the sample space is

{GGG,GGB,GBG,BGG,BBG,GBB,BGB,BBB}

The possible number of boys are 0,1,2 and 3.

Number of boys      Favorable outcome    Probability

           0                      GGG                        \frac{1}{8}

           1                    GGB,GBG,BGG          \frac{3}{8}

           2                   GBB,BGB,BBG           \frac{3}{8}

           3                       BBB                         \frac{1}{8}

Since the probabilities are not equal the events are not equally likely.

c)  Flip a coin until you get a head or 3 consecutive tails; record each flip.

Getting a head in a trial is dependent on the previous toss.

Similarly getting 3 consecutive tails also dependent on previous toss.

Hence, the probabilities cannot be equal and events cannot be equally likely.

d) Roll two dice; record the larger number

The sample space of rolling two dice is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we form a table that the number of time each number occurs as maximum number then we find probability,

Highest number        Number of times         Probability

           1                                   1                     \frac{1}{36}

           2                                  3                    \frac{3}{36}

           3                                  5                    \frac{5}{36}

           4                                  7                    \frac{7}{36}

           5                                  9                    \frac{9}{36}

           6                                  11                    \frac{11}{36}

Since the probabilities are not the same the events are not equally likely.

4 0
3 years ago
You might need:
mash [69]

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

8 0
3 years ago
Other questions:
  • Is 16 the same as (-2) to the 4th power
    11·2 answers
  • there are 16 tables in the lunch room.each tables can seat 22 studenrs. how many students can be seated at the at one time
    5·2 answers
  • X+2=2(2x-14) solve for x.
    15·1 answer
  • How could you increase the mass of a wooden block?
    6·1 answer
  • Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links, only answe
    9·1 answer
  • Multiply out and simplify (x - 6)²
    15·1 answer
  • Help me solve for t please
    5·1 answer
  • The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.
    5·1 answer
  • Four students in an art class mixed red and blue paint to make purple. The amounts they used are shown in the table. Which stude
    7·1 answer
  • Please assist with following question 2, 7, 9, 10, 13
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!