Mathematics High School


What is the vertex for the following quadratic?
f(x)= 2x^2-12x+16

What Is The Vertex For The Following Quadratic?f(x)= 2x^2-12x+16

Answers

Answer 1

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16  [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)

Related Questions

1. "-4 less than a number is 17."​

Answers

Answer:

yes

Step-by-step explanation:



A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.



True or False

A. The difference in height between the pelican and the heron is -33 feet.

Answers

Answer:

False

Step-by-step explanation:

This is because there both above sea level and 50-17=33 not -33

HELP TEST IS TIMED IF U DON'T KNOW PLEASE DON'T ANSWER
Braxton compared the number of shots taken by each team member during two basketball practices. The results are shown on the dot plots below. The mean number of shots taken at practice 1 is 13 and the mean number of shots taken at practice 2 is 14.5.


A dot plot titled Shots Taken at Practice 1. The number line goes from 10 to 16. There is 1 dot above 10, 1 above 11, 2 above 12, 4 above 13, 2 above 14, 1 above 15, and 1 above 16.
A dot plot titled Shots Taken at Practice 2. The number line goes from 10 to 16. There are 0 dots above 10, 11, and 12, 4 above 13, 2 above 14, 2 above 15, and 4 above 16.

Which is an accurate comparison of the two data sets?
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed less variability than the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.

Answers

The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.

Answer: The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.

Step-by-step explanation:

Anyone knows geometry???
The answer choices are
A: 2 and 8
B: 1 and 4
C: 6 and 7
D: 5 and 8

Answers

Answer:

Option: A

Step-by-step explanation:

Hope it helps you!

Which if the following is a geometric sequence?
Question 5 options:
A. 6,8,10,12
B. 3,6,12,24
C. 12,6,2,1
D. 5,-15,45,135

Answers

I think the answer is B.....

Hello! Can some please help me on this problem?

Answers

Answer:

It is 1) True hope this helps

Please help me question is in the picture

Answers

Answer:

1. Down

2. 9 units down

3. Left

4. 5 units left

The diameter of a wheel is 70 cm. How many times will the wheel revovle in order to cover a distance of 110 m?
p.s: please answer soon.

Answers

With a diameter of 70cm, the wheels circumference is 70(pi) or 237.9cm. When we divide 110m/0.2379m or 462.379 revolution. Round as you see fit.

Kate wanted to sell a box of candy bars to raise money for her team. She sells 1/4 of the box at school. And 1/2 of the box to her neighbors. What fraction of the candy bars dose kate still have to sell. Put your answer in simplest form

Answers

Answer: 1/4

Step-by-step explanation:

Fraction of the box of candy bars sold at school = 1/4

Fraction of the box of candy bars sold to neighbor = 1/2

Therefore, the fraction that she has sold already will be:

= 1/4 + 1/2

= 1/4 + 2/4

= 3/4

The fraction of the candy bars that Kate still have to sell will be:

= 1 - 3/4

= 1/4

Kate has 1/4 candy bars left to sell

What is the distance between (-5,3) and (3,3)?

Answers

(8, 0) is the answer

Answer:

8

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Please answer all of the 3.
PLEASE! And I’ll give you 5 stars and a Thanks?! :)

Answers

Answer:

7) 2((7x12) + (7x2) + (12x2)

2(84 + 14 + 24)

2(122)

244

8) 2((13x4) + (4x6) + (13x6))

2(52 + 24 + 78)

2(154)

308

9) 2((4x15) + (4x8) + (15x8))

2(60 + 32 + 120)

2(212)

424

Step-by-step explanation:

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=9°, and KL = 49 feet. Find the length of JK to the nearest tenth of a foot.

Answers

Answer:

in triangle KLJ

relationship between perpendicular and hypotenuse is given by sin angle

sin9°=p/h

sin9=KL/KJ

sin9=49/x

x=49/sin9=313.2

the length of JK to the nearest tenth of a foot is 313ft

Answer:

Step-by-step explanation:

313.2

Ok so my mom is verbally abusive towards me and makes me cry almost everyday. I really want to run away but I have cameras all sides and some inside and a tracker on my phone that can read texts and show my precise location. I can’t go out of the window because my room has a sensor and I don’t have a roof slope like most of y’all do. I could go out of the kitchen window but one of the backyard cameras will see me jump the fence and leave. what do you think i should do? And what to pack because if I run away today I need to know what to pack and advice.

Answers

Answer: I think if you run away you should get closes and a lot of food go somewhere were she won't find you

Step-by-step explanation:

Two parallel lines are cut by a transversal as shown below.
Suppose m∠5 = 104°. Find m∠2 and m∠4.
m∠2 = _°
m∠4 = _°

Answers

Answer:

Angle 2 = Angle 4 = 76

Step-by-step explanation:

Here, we want to get the measures of angle 2 and angle 4

From what we have in the diagram, angle 2 and angle 5 are supplementary (meaning they add up to 180)

The reason for this is because both angles are same side interior angles

Thus,

angle 2 + angle 5 = 180

angle 2 = 180 - angle 5

angle 2 = 180 -104

angle 2 = 76

Furthermore, we can see that angle 2 equals angle 4 as they are vertically opposite angles

Thus, angle 2 = angle 4 = 76

Part A: Which of the following is the MOST reasonable equation for the line of best fit?

A : y = 3/4x + 8
B : y = -3/4x + 8
C : y = x + 8
D : y = 3/4x - 8

Answers

Answer:

A

Step-by-step explanation:

cannot be B because the slope is positive, not negative

cannot be D because the y-intercept is 8, not negative 8

how to solve 6x+4+5X+2=12X-4 to solve for x


Answers

11x+6=12x-4

6-4=12x-11x

therefore x=2

simple

Answer: x=2

6x+4+5x+2=12x-4

(6x+5x) (4+2) = 12x-4
11x+6=12x-4
-11 -11
6=x-4
-4
2=x

Find the greatest common factor of 14 and 28​

Answers

The greatest common factor of 14 and 28 is 14

You put a fence around the dog pen and fill it with gravel. The fence costs $1.50 per foot. One bag of gravel covers 4 square feet and costs $3.50. How much do you spend?

Answers

$124.00 (36ft of fencingx1.50=$54)(area 80 ft/4=20 bagsx 3.50 = $70) 54 + 70 = $124.00

If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5

What is rectangle?

"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."

What is triangle?

"A triangle is a polygon with three edges and three vertices."

The given figure contains a rectangle and a triangle.

Length of rectangle = 10 ft

Breadth of rectangle = 8 ft

Area of rectangle = length × breadth

Area of rectangle = 10 × 8 = 80 ft.

Base of triangle = 8 ft.

Height of triangle = 3 ft.

Area of triangle = [tex]\frac{1}{2}[/tex]× base × height

Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.

Total area of fence = Area of rectangle + Area of triangle

Total area of fence = 80 + 12 = 92 ft.

Cost of one foot of fence = $1.50

Cost of 92 foot of fence = $1.50 × 92

Cost of 92 foot of fence = $138

4 square feet is covered by = 1 bag of gravel

1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel

92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel

Cost of 1 bag of gravel = $3.50

Cost of 23 bags of gravel = $3.50 × 23 = $80.5

Total amount spend = $138 + $80.5 = $218.5

Hence, total amount spend is $218.5

To learn more about rectangle and triangle here

https://brainly.com/question/8958722

#SPJ2

Am I correct?? If not please correct me

Answers

The answer would actually be A
F(x)=3x^2+4x
G(x)=2x^2-x+1
The two x^2 items are both positive and are added together to be 5x^2
The two x items would be added together to get 3x cause of the -x
Then +1 is just +1
Making the equation 5x^2+3x+1
If we were subtracting you would be absolutely correct, but since we are adding would go the opposite direction.
I hope this helps!

Answer: 5x^2+3x+1

Step-by-step explanation:

Solving for (f+g)(x) add both functions so

(3x^2+4x)+(2x^2-x+1)

Add like terms

3x^2+2x^2=5x^2

4x+-x=3x

+1

Add terms

5x^2+3x+1

What is the surface area of the right prism below?

Answers

350
Find the area of each shape then add all of the areas to get your surface area

Start time: 7:41 P.M.
Elapsed time:
End time: 8:50 P.M.

Answers

Answer:

Elapsed time: 1 hour and 9 minutes

Step-by-step explanation:

7:41 - 8:41 = 1 hour

8:41 - 8:50 = 9 minutes

1 hour and 9 minutes

Hope that helps!

Hellohello, if you able to help me then please do. (:

Answers

the answer is L < 5 .

[tex](3)/(\sqrt(73)) in simpest radical form[/tex]

Answers

Answer:

the answer is [tex]\frac{3\sqrt{73} }{73}[/tex]

Step-by-step explanation:

If you have any questions feel free to ask  - Mark

HELP PLZZZ !!!HELP WHICH REPRESENTS THE WIDTH OF THE RECTANGLE IN YARds?!!!!

Answers

6x^2y^7 . width = 48x^3y^9
width = 48x^3y^9/6x^2y^7
width = 8xy^2

f(x)=x^2-4 need help​

Answers

NHDHDHDHDUDIDIDIDIDIFUFUTURURURURURURURURURURURURURUTURURYRYRYRYRYDYRYRYYRYRURYFRF

Can someone help me please

Answers

Answer:9/40

Step-by-step explanation:

there is no use of hupotenuse as tanA = p/b

c + 6 < 7
what’s the answer??

Answers

Answer:

c<1

Step-by-step explanation:

If you needed c by itself this would be c<1

find lcm of 7 by 24 and 17 by 36​

Answers

Step-by-step explanation:

LCM for 7 by 24=168

LCM for 17 by 36=612

Please help TIA!!!!!!!!

Answers

Answe to your question would be: 160.14

help i’ll give brainliest if you give a correct answer

Answers

Answer:

48 drops

Step-by-step explanation:

32/8 = 4 x 12 = 48 drops

Answer:

48 drops

Step-by-step explanation:

you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.

Other Questions
Which of the different components of smog depicted in the graph are most likely released from automobile exhaust?AA and BBB and CA, B, and CDB, C, and D just look at the image, please. Please respond quickly. A(n)____ is a ripened ovary WILL GIVE BRAINLIEST!The length of a side of a square is (6x + 6) km. Find the area of the square in terms of the variable x. km2 Your company is estimated to make dividends payments of $2.1 next year, $3.6 the year after, and $4.2 in the year after that. The dividends will then grow at a constant rate of 6% per year. If the discount rate is 9% then what is the current stock price summary of Polars on the Path Question 5 of 5 Which statement would most likely be made by someone who supported Manifest Destiny? O A. We should not allow slavery to expand. O B. The United States should not expand westward. O c. We have no right to the lands where American Indians live. D. The United States should expand to the Pacific Ocean. (1.75)^2 in expanded form What is the name given to the study of what it means to be a citizen of a country, including the rights and responsibilities that come with being a citizen?1. Federalism2. Government3. Politics4. Civics Need help again please Check all that apply. Please I need help quick PROJECT: MY OWN STATEHere is your goal for this assignment:Research geographical information about the state you live in. (If you do not live in a U.S. state, you may choose a state you are interested in.)Answer the following questions about your own state.1. What is your state bird, flower, tree, and motto?2. What are your state's three largest cities, and what is the capital?3. In what region of the United States is your state, and what are the natural landforms?4. What are the most important crops and industries in your state? Why does the mother in Cisneros's story tell her daughter about her past?to stop her daughter from making the same mistakesto share a part of her historyto explain why her daughter has to help her Identify the range of the data set 24, 36, 18, 42, 30 * When moving to a new rental, you'll likely need to pay a security deposit.How much is this often?A. $500.B. 75% of one month's rent.C. First and last month's rent.D. Four months of rent. Living things fall into 3 broad categories called Domains. List them below A four pack of batteries costs $3.45. A six pack of batteries costs $4.80. Which is a better deal? Unit price. HELP STAAR review what order do these go in. (has to make sense) PLEASE HELP!! DUE IN MINUTES Discuss what is the general public's attitude and perception of mental ill-health.