Put the quadratic into vertex form and state the coordinates of the vertex. y=x^2-2x+3

Answers

Answer 1

Answer:

The vertex form of the quadratic:    y = (x - 1)² + 2

Coordinates of vertex:    (1, 2)

Step-by-step explanation:

[tex]y=x^2-2x+3\\\\y=x^2-2x+1+2\\\\y=(x-1)^2+2[/tex]

The vertex form of an equation of the parabola is:  f(x) = a(x - h)² + k

where (h, k) is the vertex. So:

x - h = x - 1   ⇒   h = 1

+ k = +2     ⇒  k = 2


Related Questions

Coffee beans are packaged in 50 kg cartons with an allowable error of 0.7% What is the acceptable weight range for a carton of coffee beans?

Answers

Answer:

49.65 to 50.35

Step-by-step explanation:

50kg+0.7%

50kg-0.7%

Answer:

A is the answer

Step-by-step explanation:

27/x = 9/6 fraction on get more math

Answers

Answer:

18

Step-by-step explanation:

A rectangular lawn is 8 meters wide and 18 meters long. What is the perimeter?

Answers

Answer:

8x2=16 18x2=36 16+36=52

Step-by-step explanation:

a rectangle has four sides so two sides have to be 8 and the other two have to be 18

Answer:

52

Step-by-step explanation:

1. 8*2=16

2) 18*2=36

3)36+16=52

5. Trey currently has $300 in his bank account. He is trying to save for a new laptop that costs $900. If he saves $20 a day, which equation shows how many days it will take for Trey to have enough for his laptop.
A. 300x + 20 = 900
B. 20x + 300 = 900
C.900 + 20x = 300
D. 20x - 900 = 300
How many days until Trey is able to buy his laptop?​

Answers

The answer is B. 20x + 300 = 900

Factor each completely.

10a² - 9a + 2

Answers

Answer:

a= [tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Equate the equation to zero

[tex]10a^{2}[/tex]-9a+2=0

[tex]10a^{2}[/tex]-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2  OR  2a=1

a= [tex]\frac{2}{5}[/tex]   OR a= [tex]\frac{1}{2}[/tex]

a=[tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]

In one month, the median home price in the west fell from $203,400 to $192,300. Find the percent decrease

Answers

around 5.4572271...% decrease
(i’m not sure what to round it to)

subtract 192,300 from 203,400 to find the amount of change
(= 11,100)

then divide that amount from the original price (203,400)

then multiply that number by 100 to get a percent

finally round to a reasonable percent
203,400-192,300=11,100
11,100/203400= 5.46%
It decreased by 5.46%

7.
Meredith spent $367.80 on tulip mand daffodil bulbs for her
flower bed. A bag of tulip bulbs Meredith spent $367.80 on tulip and daffodil bulbs for her flower bed. A bag of tulip bulbs cost $7.95 and daffodil bulbs cost $6.80 per bag. If she bought three times as many tulips as daffodils, how many bags did she buy of each kind?
tulips as daffodils, how many bags did she buy of each kind?

Answers

The answer is 365 don’t listen to me

alex is working to simplify 5·(-8)·2


A. what is the product?

B. suppose Alex found the opposite of the correct product. describe an error he could have made that resulted in that product.

please answer quickly!!!!!!!!!!!!

Answers

Answer:

A. 5*(-8)*2=-80

B. Forgot about the signs

Step-by-step explanation:

Product of Signed Integers

The product of two integers with like (same) signs is positive. The product of two integers with different signs is negative.

A.

Alex is simplifying the product 5*(-8)*2. It can be done in any order, for example, let's multiply 5*(-8) first.

The numbers have different signs, so the product is negative and 8*5 =40, thus:  5*(-8)=-40.

Now we finish the operation multiplying (-40)*2. They have different signs, thus the result is negative and (-40)*2=-80, thus:

5*(-8)*2=-80

B.

If Alex found the opposite of the correct product, that is, 80 is more likely to have been the result of forgetting about the signs. He probably just multiplied the numbers regardless of their signs.

King Kyle orders the construction of his future mausoleum (a fancy tomb) so that people never forget his awesomeness. His architect draws a floor plan depicting the mausoleum as a rectangle measuring 35\text{ m}35 m35, start text, space, m, end text by 40\text{ m}40 m40, start text, space, m, end text. Move points to redraw the architect's floor plan on the grid below.

Answers

Answer:

see attached image

Step-by-step explanation:

The mausoleum's plan measures 35 (width) by 40 (height) meters. Each square represents 2.5 m. When you redraw the tomb on the grid, it should measure 14 (width) by 16 (height) squares.

Answer:

Step-by-step explanation:

Convert to a decimal. 164%

Answers

Answer:

1.64

Step-by-step explanation:

Step-by-step explanation:

to remove percentage divide value with 100

164/100

answer in fraction

41/25

answer in decimal

1.64

PLEASE HELP WILL GIVE BRAINLIEST I PROMISE NO LIES
The prime factorization of 76 is _____.

2^2 · 19
2 · 38
76
2^3 · 7

Answers

Hey :)

The answer is A) 2^2 • 19

The prime factorisation of 76 is:
76 = 2 x 2 x 19, which can also be written as 2^2 • 19

Hope this helps!

The Prime Factorization of 76

Answer : 2^2 • 19

Between which two consecutive whole numbers does \sqrt{3} 3 ​ lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{3} 3 ​ to an approximately correct location on the number line. Between which two consecutive whole numbers does \sqrt{3} 3 ​ lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{3} 3 ​ to an approximately correct location on the number line.

Answers

Answer:

It lies between 5 and 6

Step-by-step explanation:

Two consecutive numbers are numbers that come after each other:

x , x + 1 are consecutive numbers.

3 \sqrt{3} = 3√3 = 5.19615242271

Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6

Answer:

It lays Between 2 and 3

Carlos makes baskets with bags of coffee or boxes of tea. He has 72 bags of coffee and 56 boxes of tea. He wants to put an equal number of bags of coffee and boxes of tea in each basket. Each basket contains only coffee or tea. A. What is the largest number of bags of coffee or boxes of tea that he can put in each basket?

Answers

Answer:

1

Step-by-step explanation:

1

HELP!!! NEED RATIO! A TON OF POINTS!

Answers

The length of CD IS 3 and AC IS 8 hope this helps

Answer:

yes

Step-by-step explanation:

What is the Value of
3.1 + (-4) - (-0.7)
i mostly want to just check my answer

Answers

3.1+(-4)-(-0.7)
3.1-4+0.6
-0.2

someone answer this??

Answers

Answer:

corresponding angle

Step-by-step explanation:

Pleaseee helppp meee question 2 !!!

Answers

just plot it in the graph
start by taking a coordinate in the xy table like 1,3 and find 1 on the x axis and 3 on the y and find where they cross and draw a point

Solve for the value of z.
(5z-4) 39

Answers

Answer:

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

As we know,sum of angles on a straight line is 180 degree..

(5z-4)+90+39=180

=>5z-4+90+39=180

=>5z-4+129=180

=>5z+125=180

=>5z=180-125

=>z=55÷5

Hence,the value of z=11 degree

1+1=?
5
2
4
7
this question is really hard and confusing

Answers

Answer:

I think it is 2

Step-by-step explanation:

I hope this is right! Please Rate Brainiest!

Answer:

its obv 478

Step-by-step explanation:

1+1=2 divoided by 400=294-478

The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

Answers

Answer:

$12 per hour

Step-by-step explanation:

51 -39 =12 minutes 31 -27=12minutes

also took the test

$12 per hour

just took the test hope this helps:)

i really do not know the answer

Answers

Answer: the answer is D which is really the only answer higher then $36.99

Step-by-step explanation:

Answer: d. 38.47

Step-by-step explanation:

i need help with my 8th grade math

Answers

Answer:

x = -2.38

Step-by-step explanation:

divide 3 to up 3x then 4 and divide them by 2.

Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14.0
A. - 50
B. -5
C. 2
D. 8​

Answers

Answer:

C. 2

Step-by-step explanation:

Step 1: Define

g(x) = 4x + 6

g(x) = 14

Step 2: Substitute and Evaluate for x

14 = 4x + 6

8 = 4x

x = 2

solve for x. 36x+2=110. show work

Answers

Answer:

Answer to x is 3. so it would be x = 3

Answer:

x=3

Step-by-step explanation:

36x+2-2=110-2

36x=108

36x/36=108/36

x=3

Find the value of xxx in the triangle shown below.

Answers

Answer:

Can I get image of it?

Step-by-step explanation:

Answer:

Image?

Step-by-step explanation:

In a library 20% of the books are fiction (a) what percentage are non fiction?(b) if there are 6000 books in the library. how many are fiction and how many are non fiction​

Answers

Answer:

A) 80%

B) Non-Fiction = 4,800 books Fiction = 1,200 books

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answers:

a) 80% nonfiction

b) 1200 fiction, 4800 nonfiction

=========================================

Explanation:

part (a)

We only have two choices: fiction or nonfiction

If 20% are fiction, then 100% - 20% = 80% are nonfiction.

The two percentages 20% and 80% add to 100% to represent all the books.

---------------------

part (b)

20% = 20/100 = 0.20

20% of 6000 = 0.20*6000 = 1200

we have 1200 fiction books

6000-1200 = 4800

and we have 4800 nonfiction books

Note how

80% of 6000 = 0.80*6000 = 4800

which helps confirm part (a)

The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 mm in diameter. A full
barrel of ink in the pen is used up on writing 3300 words on an average. How many words can
be written in a bottle of ink containing one fifth of a litre?​

Answers

Answer:

480,000 words

Step-by-step explanation:

For barrel of pen:

h = 7 cm, d = 5 mm

r = 5/2 = 2.5 mm = 0.25 cm

[tex]Volume \: of \: barrel = \pi {r}^{2} h \\ \\ = \frac{22}{7} \times {(0.25)}^{2} \times 7 \\ \\ = 22 \times 0.0625 \\ \\ = 1.375 \: {cm}^{3} \\ \\ one \: fifth \: of \: a \: litre \\ = \frac{1}{5} \times 1000 \: ml \\ \\ = 200 \: ml \\ \\ = 200 \: {cm}^{3} \\ \\ no \: of \: words = \frac{3300 \times 200}{1.375} \\ \\ = \frac{660000}{1.375} \\ \\ = 480,000 \\ [/tex]

Petra buys candles in bulk for her store. Her cost for each candle is $9. She marks up the cost of the candles 85% to sell them. What is the retail price of each candle? I’m

Answers

Answer:

500

Step-by-step explanation:

divided then subtract

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer:

yes

Step-by-step explanation:

Answer:

proportional

Step-by-step explanation:

it is proportional

y/x=k ( constant)

5/1=10/2=15/3=20/4=5

y=5x

Área and volume

Length: 19-1/2' and width 66-3/8'

Answers

Answer:

the area is -155/8

Step-by-step explanation:

can't tell you what the volume is because  there is no height to solve volume

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