100 POINTS !!! Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11. x = 2; (2, −13) x = 4; (4, 11) x = −2; (−2, 83) x = −4; (−4, −11)

Answers

Answer 1

Let's see

[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]

Graph attached

vertex(-2,-13)

Axis of symmetry

x=-2
100 POINTS !!! Find The Axis Of Symmetry And The Vertex Of The Graph Of Y = 6x2 24x + 11. X = 2; (2,
Answer 2

Answer:

axis of symmetry: x = 2

vertex:  (-2, 13)

Step-by-step explanation:

Given function

[tex]\sf y=6x^2-24x+11[/tex]

Vertex form

[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex

Expand vertex form:

[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]

Compare coefficients of expanded vertex form with given function:

coefficient of [tex]\sf x^2[/tex]:  

⇒ a = 6

coefficient of [tex]\sf x[/tex]:  

⇒ -2ah = -24

⇒ ah = 12

⇒ 6h = 12

⇒ h = 2

constant:

⇒ [tex]\sf ah^2+k=11[/tex]

⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]

⇒ [tex]\sf 24+k=11[/tex]

⇒ [tex]\sf k=-13[/tex]

Vertex

Vertex = (2, -13)

Axis of symmetry

Axis of symmetry is when x = h

Therefore, axis of symmetry is x = 2


Related Questions

2x+5=12 pleas and thank you :D

Answers

2x+5=12
12-5=2x
2x=7
X=3.5

Answer:

x= 7/2

Step-by-step explanation:

move the constant 2x+5=12 to make it 2x=12-5.

subtract 12-5= 7

2x=7 divide both sides

x=7/2

i did try my best hope this helps :)

What is m∠P?

There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

m∠P =
°

Answers

Answer: 94 degrees

Step-by-step explanation:

To determine the age of fossils, scientists use radiometric dating. This involves measuring quantities of certain radioactive isotopes and using mathematical equations to compare the amounts of each isotope present.
Suppose a scientist dates a piece of petrified wood and calculates that it is approximately 23,881,392.3102 years old. The petrified wood is later displayed in a museum.
What is the most reasonable way for the museum tour guide to describe the age of the wood to museum visitors?
(A): 2.3881×107 years old
(B): 24 million years old
(C): 23.8813923102 mega years old
(D): 23 billion years old

Answers

Answer:

B 24 million years old

Step-by-step explanation:

i did this quiz a long time ago tho so it might be B or D

The solid below is dilated by a scale factor of 3. Find the volume of the solid created
upon
dilation.


Answers

The volume of the solid created upon dilation bythe scale factor of 3 is 5832 units³.

What is the volume of the dilated solid?

An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.

Dimensions of the dilataed solid = 6 x 3 = 18

Volume = 18³ = 5832 units³

To learn more about dilation, please check: brainly.com/question/3457976

Triangle ABC has side lengths AB=25 units, BC=24 units, and AC=7 units. Triangle ABC is mapped to triangle A′B′C′ by a reflection across a horizontal line and translated left 12 units. What is the length of segment B′C′?

Answers

Answer:

C

Step-by-step explanation:

because yes so the 25 unit down 12 units up

image below ill give branliest

Answers

Answer:

E= -4,5

F=3,-2

Step-by-step explanation:

i think that's correct sorry if not

Which shows the Identity Property?
A. 2 +7=7 +2
B. 4 + 0 = 4
C. 6+ (4 + 8) = (6 + 8) + 4

Answers

Answer:

B shows the Identity Property.

Step-by-step explanation:

x+0=x

Assuming that k is a nonnegative integer and m = 2k, what value is returned as a result of the call mystery (m) ?

Answers

The result of the recursive function mystery (m) is k.

How to analyze a recursive algorithm

In computer science, functions are collections of code that can be used and re-utilised in greater codes. Functions are formed by inputs, a procedure and an output.

In this question we must analyze a recursive function, recursive functions are functions that creates a loop with the function itself, that is, the function uses itself as an output, until desired output is done.

After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k. [tex]\blacksquare[/tex]

Remark

This is a Computer Science problem, whose complete statement is described below:

Consider the following recursive method:

public static int mystery (int n)

{

    if (n <= 1)

    {

         return 0;

    }

    else

    {    

         return 1 + mystery(n/2);

    }

}

Assuming that k is a nonnegative integer and m = 2ⁿ, what value is returned as a result of the call mystery (m)?

To learn more on recursive functions, we kindly invite to check this verified question: https://brainly.com/question/25762866

The result of the recursive function mystery (m) is k.

How to analyze a recursive algorithm?

In computer science, functions are collections of code that can be used and re-utilized in greater codes. Functions are formed by inputs, a procedure, and an output.

In this question we must analyze a recursive function, recursive functions are functions that create a loop with the function itself, that is, the function uses itself as an output until the desired output is done.

After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k.

Consider the following recursive method:

public static int mystery (int n)

{

   if (n <= 1)

   {

        return 0;

   }

   else

   {    

        return 1 + mystery(n/2);

   }

}

Hence, the result of the recursive function mystery (m) is k.

To learn more about recursive functions; brainly.com/question/25762866

#SPJ4

Given the function h of x equals 3 times the square root of x, which statement is true about h(x)?

The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is

Answers

The true statement about h(x) is: The function is increasing on the interval [0, ∞).

Linear Function

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope.If:

             a> 0 , the function is increasing;

             a< 0 , the function is decreasing;

b=the constant term that represents the y-intercept.

Domain and Range

The domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

You should convert the text of the question into a math expression.

[tex]h(x)=3*\sqrt{x}[/tex]

Like the coefficient a is greater than zero (a>0), the function is increasing.

The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.

The range is:

[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Learn more about the range and the domain here:

brainly.com/question/10197594

Write each expression without the absolute value symbol |3x+12|

Answers

Answer:

Step-by-step explanation:

|3x+12|

one is as it is                                     one is the negative value of it

3x + 12                                                   - (3x + 12)

                                                               - 3x - 12

That is because both negative and positive values put in am absolute value become positive.

The value of the absolute value function is given by the expressions A and B where A = 3x + 12 and B = - ( 3x + 12 )

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as M

Now , the value of M is

M = | 3x + 12 |  be equation (1)

The absolute value function is defined as

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

So , the two expressions are

A = 3x + 12 and

B = - ( 3x + 12 )

Hence , the absolute value functions are solved

To learn more about modulus function click :

https://brainly.com/question/13682596

#SPJ3

Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply.
A. 110 – 16 = 10h
B. 110 = 16h + 10
C. 16 = 110 – h
D. 110 = 16 + 10h
E. 110 + 16 = 10h

Answers

Answer:

The correct answers are:

A.) 110 - 16 = 10h

B.) 110 = 16h + 10

Step-by-step explanation:

Sylvie needs $110 for a concert ticket and already has $16 in her pocket. She can make up the difference by working an additional 10 hours at her job.

To earn the $110 required for the concert ticket, she'll need to work 10 hours in addition to the $16 she already has.

As a result, the following calculation can be used to calculate her hourly rate:

110 = 16 + 10h

110 - 16 = 10h

I hope this helps! ^-^

Last year 950 people attended a town’s annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year to this year?

Answers

Answer: 60% increase

Step-by-step explanation:

First, find how many more people attended this year: 1,520 - 950 = 570.

Now, find what percent of 950 570 is: 950 * x = 570 → x = .6 * 100 = 60% :)

what is the doamin of the function f(x)=x+1/x²-6x+8

Answers

Answer:

Step-by-step explanation:

   (x+1)       = domain = all real #s

(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4

Because you can not have a zero in the denominator, x≠2,4

so your domain is (-∞,2)∪(2,4)∪(4,∞)

A city has a population of 360,000 people. Suppose that each year the population grows by 3.75% What will the population be after 11 years?

Answers

Answer:

508,000 in 11 years

Step-by-step explanation:

3.75% of 360,000 is 13500

So every year the population grows 13500 people

13500 * 11 = 148,500

148,500+360,000=508,000

So in 11 years the population would be 508,000

Using the side-splitter theorem, which segment length would complete the proportion? startfraction g h over h e endfraction = startfraction question mark over j f endfraction gf jh gj ef

Answers

The ratio of gh over he is equal to the ratio of gj over jf. Then the correct option is C.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

We know that the side-splitter theorem states that two triangles are similar if their corresponding angle is equal and the ratio of the corresponding will be the same.

[tex]\rm \dfrac{gh}{he} = \dfrac{gj}{jh}[/tex]

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

Answer C. GJ

Step-by-step explanation:

got it right on 2023 edge

How can data displays be used to compare two sets of data? Select all that apply. They quickly illustrate measures of center. They quickly illustrate measures of center. They identify all the data points in each data set. They identify all the data points in each data set. They show trends in data that can be compared. They show trends in data that can be compared. They display measures of variability for each data set. They display measures of variability for each data set. They easily show the mean of each data set.

Answers

Answer:

Step-by-step explanation:

A and C Step-by-step explanation:I would go for A and C options which best describes the use of data displays for the comparison of two data sets.Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well. So, in option A, It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed. And in option C, It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays. Still stuck? Get 1-on-1 help from an expert tutor now.

which shape is a trapeziod with only 1 pair of parallel sides

Answers

Answer: A Quadrilateral is a trapeziod with only 1 pair of parallel sides.

Hope this helps!

Answer:

The trapezoid itself, including quadrilaterals.

Trapezoids have 1 pair of parallel sides. See picture below.

The lines represented by the equations y x = 2 and y = x
2 are


Answers

Answer: Parallel

Step-by-step explanation:

i need help with 7 and 8 explanations and show work for solving?

Answers

Answer:

ang ganda noh

Step-by-step explanation:

sorry di ko po alam yung sagot

Please help! will give brainlest!

Answers

Answer:

Option 2 hope it helps pls mark as the brainliest

The ratio of green marbles to yellow marbles is
4 green marbles to 6 yellow marbles.
If there are 2 green marbles,
how many yellow marbles are there?

Answers

Answer:

There are three yellow marbles.

Step-by-step explanation:

The way i figure it is since they are both even numbers divide them both by two and you have your answer.

Michele's credit card had a balance of $579. 53 on August 1. On August 8, she made a payment of $500. On August 16, she made a charge of $200. On August 24, she made another charge of $350. What was her average daily balance?

Answers

By taking the average of her balance of each day of August, we will see that the average daily balance is $373.08

What was her average daily balance?

We know that:

On August 1, her balance was $579.53On August 8, her balance was $579.53 - $500 = $79.53On August 16, her balance was $79.53 + $200 = $279.53On August 24, her balance was $279.53 + $300 = $579.53

So, first, her balance is $579.53 for 7 days. Then her balance is $79.53 for 8 days, then her balance was $279.53 for another 8 days, and finally, her balance was $579.53 for the last 8 days of august.

Then over the 31 days of August, the average daily balance will be:

[tex]A = \frac{7*579.53 + 8*79.53 + 8*279.53 + 8*579.53}{31} = 373.08[/tex]

So in August, her average daily balance was $373.08

If you want to learn more about averages, you can read:

https://brainly.com/question/20118982

What is the correct answer for this?

Answers

Answer:

55.5 cubic yards

Step-by-step explanation:

Here,

Length ( l ) = 5 yd

Base ( b ) = 3.7 yd

Height ( h ) = 3 yd

To find : Volume

This shape is a cuboild.

Formula : -

Volume of cuboild = lbh

Volume of cuboild

= 3 x 5 x 3.7

= 55.5 cubic yards

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 5 \times 3.7 \times 3}[/tex]

[tex] \mathsf \purple{v = 55.5 {yd}^{3} }[/tex]

55.5 cubic yards

Evaluate f(2) for the function f(x)=5(x-3)+17

Answers

Hello!

Plug in the value of x:

f(x)=5(x-3)+17

f of x is 5 times the difference of x and 3 plus 17

plug in 2:

f of 2 is 5 times the difference of 2 and 3 plus 17

f(2)=5(2-3)+17

f(2)=5(-1)+17

f(2)=-5+17

f(2)=12

[tex]\huge\boxed{\mathfrak{Answer:{\boxed{\rm{f(2)=12\star\star}}}}}[/tex]

Hope everything's clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

#KeepOnLearning

[tex]\boxed{An~Emotional~Helper!} :-)[/tex]

does anyone know how many feet this is if i do it is 1,474 x 829 just make it into a small number

Answers

Answer:

101828.833333

Step-by-step explanation:

you have to multiply the two numbers then divide by 12

Adi drew a circle with a radius of 10 cm. What is the area of the circle? Use 3. 14 for pi

Answers

Answer:

314

Step-by-step explanation:

This is because the area is r^2*3.14

George bought a 3-pound bag of potatoes and a 32-ounce bag of carrots. How many pounds of vegetables did George buy?
A) 3 pounds

B) 5 pounds

C) 6 pounds

D) 8 pounds

Answers

32 ounces is 2 pounds so simple math 3+2=5 si your answer is 5 pounds

Answer:

5

Step-by-step explanation:

1 pound = 16 ounces

32/16 = 2

2 + 3 = 5

So therefore he bought 5 pounds of vegetables.

Which equation represents the line that passes through the point (-2,5) and has a slope of - 3

Answers

Answer: Answer:

A. is your answer

When using the Slope Method, your answer is y - 5 = 4(x - 2).

Feel free to give brainliest.

Have a great day everyone!

Answer: y= -3(-2-x) + 5

The slope equation is y=mx + b or point slope equation is y1-y=m(x1-x)

If you already have a point, using point slope form would be way faster and easier.

Point (-2,5) slope of -3

Plug into equation of y-y1=m(x1-x)

y - 5 = -3(-2- x) then add the 5 to the right side of the equation then your answer will be

y= -3(-2-x) + 5

The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount. The half-life of the radioactive gas radon is approximately 2.8 days. The initial amount of radon used in an experiment is 74 grams. If N represents the number of grams of radon remaining t days after the start of the experiment,

Answers

Answer:

  N = 74(1/2)^(t/2.8)

Step-by-step explanation:

The exponential function expressing a half-life relation can be written ...

  amount = (initial amount) × (1/2)^(t/(half-life))

For the numbers given in this problem, this is ...

  N = 74(1/2)^(t/2.8)

__

Some folks like to express these relations in the form ...

  N  = 74e^(-kt)

In this form, the value of k is ...

  k = ln(2)/(half-life) ≈ 0.693147/2.8 ≈ 0.24755

  N = 74e^(-0.24755t)

y = -3x + 13
y = -x + 1
solve by substitution

Answers

Answer:

x = 6

y = -5

Explanation:

y = -3x + 13 y = -x + 1

substitute each of the following,

-3x + 13  = -x + 1

-3x + x = 1 - 13

-2x = -12

x = 6

Find y,

y = -x + 1

y = -6 + 1

y = -5

Step-by-step explanation:

please mark me as brainlest

Other Questions
Which of the following beliefs is NOT outlined in the Declaration of Independence?a. All people are created equalb. All people have unalienable rights: life, liberty and the pursuit of happinessGovernment derived their power from the consent of the governed (the people)d. There must be three branches of government with checks and balances and separation of powers for agovernment to reflect what the people want.C.At what point door lefforcon CON Just number 1 please and explain PLS HELP I UAVE SCHOOL TMR TRY TO EXPLAIN IT IF YOU CAN OR TELL ME THE ANSWER THX HELP PLEASE, 30 POINTS!! Camerons laptop no longer responds when he uses the keyboard or tracking pad. It most likely needs an upgrade to which of these?A. linear processingB. analyticsC. networkD. operating system A __________ is the originator of the messages expressed.a.messengerb.transmitterc.talkerd.source l se mat a consecuencia de la traicin.Se s CD o CI? Write a program that asks the user to type 5 integersand writes the average of the 5 integers. Thisprogram can use only 2 variables. Which of the following is a term for physical goods that are bought andsold? Ratio of boys to girls Your email campaign has an open-rate of 9. 6%, and you emailed 25,000 people. How many people opened your email? two paragraphsexplaining how carbon istransferred within andbetween organisms and theenvironment. help me now please thank you so much I need help asap please! Which precedent did George Washington set during his presidency?He rarely sought advice from his cabinet secretaries.He insisted on being called Your Excellency in public.He wore civilian clothes rather than uniforms or royal attire.He created the first political party in the United States. What culture contributed some of the words we use in the English language, like chocolate? How much money will you have in 6 months if you invest $1000 at 3% compounded monthly?AnswersStep-by-step explanation How do I find the volume? Color associations vary by culture. for example, an american bride would probably wear white, while her chinese counterpart might wear ________. Which of the following should not be included whenconsidering a sport or activity to try? PLEASE ANSWER I DONT KNOW THE ANSWER The structural and functional units of the kidney are called