f(x) = 3x2 – 12x +1
find the vertex.

Answers

Answer 1

Answer:

(2,-11) is the vertex

Answer 2

Answer:

              (2, -11)  

Step-by-step explanation:

[tex]f(x)=3x^2-12x+1\\\\f(x)=3(x^2-4x)+1\\\\f(x)=3(x^2-2\cdot x\cdot2+2^2-2^2)+1\\\\f(x)=3(\underline{x^2-4x+4}-4)+1\\\\f(x)=3[(x-2)^2-4]+1\\\\f(x)=3(x-2)^2-12+1\\\\f(x)=3(x-2)^2-11[/tex]

the vertex form of parabola's equation is: f(x) = a(x - h)² + k with vertex (h,k)

x-h = x-2  ⇒  h = 2

+k = -11    ⇒   k = 11


Related Questions

Help! I already tried -6.6/20

Answers

Answer: 0.33 or 1.32 or 6.6%

Step-by-step explanation:

PLEASE HELP AHHHH IS URGENT.​

Answers

Answer:

z=96, because we know that any straight line is equivalent to 180 degrees, so we subtract 180-48-36=96.

To find x we first make an equation 6x+96+36=180
6x+132=180
6x=180-132
6x=48
6x/6=48/6
x=8

and also cause why not y=96 as well same principle applies.

I’ll give brainliest I need help

Answers

Answer:

1, -1, -3, 3

Step-by-step explanation:

f(x) = 2x-1

f(1)=2*1-1 = 2-1 = 1

f(0) = 2*0 - 1 = -1

f(-1) = 2* -1 -1 = -2-1 = -3

f(2) = 2 * 2 -1 = 4-1 =3

A jeweler has 160.5 centimeters of gold chain. He will use half of the chain to make a necklace. He will make 5 bracelets with the remaining chain. If each bracelet is the same length, what will be the length of each bracelet in centimeters?

Answers

9514 1404 393

Answer:

  16.05 cm

Step-by-step explanation:

Each bracelet will be 1/5 of 1/2 of the chain, so is

  (1/5)(1/2) = 1/10

of the original length of the chain.

  1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet

Please please help will give brainliest!!

Answers

Answer:

c = 13

Step-by-step explanation:

In a rectangle the diagonals bisect each other, thus

FG = FI , substitute values

7c - 67 = c + 11 ( subtract c from both sides )

6c - 67 = 11 ( add 67 to both sides )

6c = 78 ( divide both sides by 6 )

c = 13

Answer:

c = 13

Step-by-step explanation:

We know FG and FI are equal to each other because F is the cross section of a rectangle.

FG = 7c - 67

FI = c + 11

FG = FI

7c - 67 = c + 11 Add 67 to each side so it will cancel on the left

7c = c + 11 + 67

7c = c + 78 Subtract c from each side so it cancels on the right

7c - c = 78

6c = 78 Divide each side by 6

6c/6 = 78/6

c = 78/6

c = 13

fat help me fast help

Answers

false because the mountain was created with the North not the South plate.

The tables show the statistics of a running back in a football game did he gain more than 50 yards total? Explain .

Answers

Answer:

He gained more than 50 yards in the game.

Step-by-step explanation:

Running back in the first quarter in a football game = -8.5 yards

Running back in second quarter = 23 yards

Running back in 3rd quarter = 42.5 yards

Running back in 4th quarter = -2.25 yards

Total gain in the game = -8.5 + 23 + 42.5 - 2.25 = 54.75 yards

That means he gained more than 50 yards in the game.

Find the value of x.

Answers

Answer:

x=55

Step-by-step explanation:

you have to add the three angles to get 180 first. 180- 21-34=125.

then take the missing angle inside the triangle (125) and subtract by 180.

180-125=55

Answer:

x = 55

Step-by-step explanation:

We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.

21+34+y = 180

55+y = 180

y = 125

Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.

180-125 = 55

So your final answer will be x=55, hope this helped!

How does light travel so you can see in the dark

Answers

Answer:

Step-by-step explanation:

Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum—a completely airless space. ... It speeds through the vacuum of space at 186,400 miles (300,000 km) per second.

Prime numbers have ________.

Composite numbers have ________.

The number 1 is ________.

Answers

Answer:

1:eaxctly two factors  2:more than two factors  3:neither prime nor composite

Step-by-step explanation:

I GOT IT RIGHT!

Answer:

Answer time!!

1. exactly 2 factors

2. more than 2 factors

3. niether prime nor compisite

POSSIBL

Mariko needs to solve the equation below for D. Which correctly describes the step he should take?

M=

= p

Subtract V from both sides.

Divide both sides by V.

Multiply both sides by V.

O Divide both sides by D.

1

2

which step should I take

Answers

Answer:

Divide both sides by V

Step-by-step explanation:

The equation is not well written.

Mariko needs to solve the equation below for D. Here is the equation:

M = DV

For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;

Divide both sides by V

M/V = DV/V

V at the denominator will cancel out the V at the numerator to have:

M/V = D

Rearrange

D = M/V

Therefore, the statement which correctly describes the step he should take is:

Divide both sides by V. Option B is correct.

Explain if it has the same answer: 6(9) = 6(5) + 6(4)

Answers

Answer:

54 does equal 54. So this problem is true

Step-by-step explanation:

6*9=54

6*5=30

6*4=24

30+24=54

54 does equal 54

Answer:

it has the same answer because 6(5)+6(4)=6(9) so they are the same

Step-by-step explanation:

copy and paste that ;)

X - 6 < -4 please help

Answers

Answer:

x<2

Step-by-step explanation:

The rectangle below has a perimeter of 120 inches. (2x is the length and X is width) What is the measure of the width, x, of the rectangle?

Answers

Answer:

x = 20

Step-by-step explanation:

2x + 2x + x + x = 120

6x = 120

x = 20

please answers soon and answer correctly.

Answers

C .....Hope I helped .

I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?

Answers

Answer:

your numnber is 15

Step-by-step explanation:

3x-3=n

nx=90

nx=90

(3x-3)x=90

3x^2-3x=90

x=6

3x-3=n

3(6)-3=n

18-3=n

15=n

what is the slope of the line in the graph?​

Answers

Answer:

1

Step-by-step explanation:

The slope of a line equals rise/run. That is the distance and height between each point. The horizontal and vertical distances are both 1, so 1/1= 1

Rise/run is the slope formula. 2/1 =2 3/2 4/3 and it keeps going

Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.

Answers

Answer:

gdgdgdgdgddggddggdgddggd

Step-by-step explanation:

What is the reciprocal of 6 1/5

Answers

Answer:

0.16129032258   or maybe just 0.161

Step-by-step explanation:

help me find the slope!

Answers

Answer:

b

Step-by-step explanation:

i think

Answer is B

Explanation: If you use the formula rise/run you would see the rise is -3 and the run -4 which could give you -3/4

what is x

8(3x+6)=168

Answers

Answer:

x=-5

Step-by-step explanation:

24x+48=168

24x-120

x=5

8(15+6)=168

120+48=168

168=168

Answer: 5

Step-by-step explanation: 8 (3x+6)= 168/ 8 (3 x5+6)= 168; so 8(3x5+6)=168

Which atom or ion is the largest?
ОА. К
ОВ. к*
ОС. Са
гO D.
Са2+
O E. Li

Answers

Answer:

o.a k

Step-by-step explanation:

Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a​ master's degreee. To achieve this​ goal, you deposit $ 5000 at the end of each year in an annuity that pays 6.5 % compounded annually.

a. After 5 ​years, you will have approximately= ​$

​(Do not round until the final answer. Then round to the nearest dollar as​ needed.)


b. The interest is approximately= ​$


​(Use the answer from part a to find this​ answer.)

Answers

Answer: a. After 5 ​years, you will have approximately= $ 6,850.43 .

b. The interest is approximately =$ 1850.43

Step-by-step explanation:

Given: Principal amount (P) =  $5000

Rate of interest (r)= 6.5%  = 0.065

n= 1  (compounded annually)

a) Time (t) = 5 years

Formula for accumulated amount  :

[tex]A=P(1+\dfrac rn)^{nt}[/tex]

Then,

[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]

Hence, After 5 ​years, you will have approximately $ 6,850.43 .

b) Compound interest = A-P

= $ 6,850.43 - $ 5,000

= $ 1850.43

Hence, The interest is approximately $ 1850.43.

Hello guys i am in secondary school y8 and need help on my school work due tomorrow please could you help me out. ​

Answers

hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.

hope this helps!! <3

Help with math. please

Answers

Answer:

B. 1  9/10 (19/10)

Step-by-step explanation:

3 4/5 is equal to 19/5

We would need to divide 19/5 by 2

Make 2 a fraction. 2/1

Flip the number: 1/2

Multiply 19/5 by 1/2

19/10

Simplify.

1  9/10

Hope I helped :)

Please consider Brainliest :)

Complete the following statement.
Find the quotient. 7200/9 =

Answers

Answer:

800

Step-by-step explanation:

9 goes into 72 eight times, nine goes into 0 zero times

The complete statement is as follows:

The quotient of, 7200/9 = 800.

Quotient is the result which we get by dividing the one number by the other.

Where, the number which is getting divided is known as 'dividend'  and the number which divides the dividend is known as 'divisor'.

So,

Quotient = Dividend ÷ Divisor.

Or,

[tex]\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}[/tex]

In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.

Applying the division on 7200 by 9.

Since, 9 is very less than 72. Take the first 2 digits.

72÷9 = 8

There is no remainder.

Now, take three digits:

720÷9 = 80

Still no remainder is here.

Move to the last digit (0) and apply division.

7200÷9 = 800

No remainder is there.

That means the quotient of, 7200 divided by 9 is 800.

Hence, the quotient of 7200/9 = 800.

Learn more about quotient here:

https://brainly.com/question/16134410

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If you bought a stock last year for a price of $63, and it has risen 17% since then, how much is the stock worth now, to the nearest cent?

Answers

73.71 because 63*.17=10.71, so 63+10.71=73.71

what is the lenght of the diagonal of the rectangle

Answers

Answer:

P = 2l + 2w

Step-by-step explanation:

solve b
3b / 7-1 = 5

Answers

Answer:

b= 2 over 7

Step-by-step explanation:

exact form b= 2 over 7

decimal form b= 0.285714

15 - 5k ≥ 0
solve the inequality

Answers

Start by adding 15 to both sides
15 + 15 will cancel out
15 + 0 = 15
After you are left with just 5k and 15
Divided 5 on both sides of the inequality
5k/5 ( this will cancel out)
15/5 = 3
Bring down the k & inequality sign

Final Answer :

The solution is, the value of the inequality is, 3  ≥ k.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

15 - 5k ≥ 0

now, we get,

Start by adding 15 to both sides

15 + 15 will cancel out

15 + 0 = 15

After you are left with just 5k and 15

Divided 5 on both sides of the inequality

5k/5 ( this will cancel out)

15/5 = 3

Bring down the k & inequality sign

3 - k  ≥ 0

adding k on both side,

3  ≥ k

Final Answer : 3  ≥ k

To learn more on inequality click:

https://brainly.com/question/12189350

#SPJ2

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