Rewrite in vertex form y=x2+2x+6

Answers

Answer 1

Answer:

y = (x+1)^2+5

Step-by-step explanation:

Add or subtract from both sides to complete the square;

y=x^2+2x+6; Subtract 5 from both sides

y-5 = x^2+2x+1; Factor;

y - 5 = (x+1)^2; Add 5 back to both sides;

y = (x+1)^2+5

Answer 2

Answer:

y=(x+1)²+5

Step-by-step explanation:

y=x^2+2x+6

a=1; b=2;c=6

subtract 6 from both sides: x^2+2x= -6

complete the square by using the equation (b/2)^2 and add to both sides: x^2+2x+1=-6+1

simplify: x^2+2x+1=-5

find the factors of 1 that add up to 2: 1 and 1

(x+1)(x+1)=-5

add 5 to both sides and simplify

y=(x+1)^2+5


Related Questions

Find the probability of making the spins of spinning a letter, then a 4, then a C.

Answers

Answer:

1/216

Step-by-step explanation:

A rental company charges ​$19 plus ​$10 per hour to rent a laptop . rented a for 8 hours. Write an expression to show how to calculate the total amount paid.

Answers

Answer:

Step-by-step explanation:

The cost is going to be 19 dollars before you even plug it in. You won't be charged 19 again while you are on this visit.

C = 19 + h*10

If you are on the computer for 8 hours then

C = 19 + 8*10

C = 19 + 80

C = 99

can someone help me please?

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for B

∠ B = 180° - (90 + 63)° = 180° - 153° = 27°

(b)

Using the sine ratio in the right triangle

sin63° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )

x × sin63° = 15 ( divide both sides by sin63° )

x = [tex]\frac{15}{sin63}[/tex] ≈ 16.8 ( to 1 dec. place )

(c)

Using the tangent ratio in the right triangle

tan63° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{y}[/tex] ( multiply both sides by y )

y × tan63° = 15 ( divide both sides by tan63° )

y = [tex]\frac{15}{tan63}[/tex] ≈ 7.6 ( to 1 dec. place )

please help! <3
what is the standard equations for a circle with a radius of 5 and located on -4 ,-3 on a grid?

Thank you guys <3

Answers

Answer:

(x+4)²+(y+3)²=25

Step-by-step explanation:

opposite of -4 is 4

x=4

opposite of-3 is 3

y=3

double the radius 5*5=25

Help asap please!! This is due like today

Answers

Answer:

1.8

2.12

3. 30

Step-by-step explanation:

the answer is base to what I learned so if im wrong please correct me..

Which of the following relations is not a function? Select all.
D {(-3,5), (9,5), (6,5), (0,5)}
{(-1,-1), (-2,6), (-1, -3), (6,-1)}
{(0,0), (4,-5), (-4, 6), (5,6)}
((1,2), (-4, 0), (2,0), (-4,4)}

Answers

Hi there!

A function is a set of ordered pairs that do not have same x-values.

In a set of ordered pairs, If two or more ordered pairs have same x-values, they are not considered as a function but rather a relation instead.

From the question above, you notice that two of the choices have same x-values and others don't have.

The relations that are not functions are the second choice and fourth choice because two ordered pairs have same x-values.

Any questions can be asked through comment.

Furthermore, a function is also a relation but a relation isn't always a function.

Hope this helps, and Happy Learning! :)

Find the value of x in the figure

Answers

[tex]57 + x + 23 = 180\\x = 180 - 57 - 23\\x = 100\textdegree[/tex]

Answer: 100.

100

it’s 100 it’s 100 it’s 100 it’s 100 it’s 100 it’s 100 sorry

How many solutions does X^2 - 9x = -11 have?

Answers

Answer:

this is the answer Hope's it helps

2 solution

Step 1: Subtract 11 from both sides.

x²9x-11=11-11

x² - 9x - 11 = 0

For this equation: a=1, b=-9, c=-11

1x² + -9x + -11 = 0

Step 2: Use quadratic formula with a=1,

b=-9, c=-11.

X = - b ± √b² - 4ac

2a

X = -(-9) ± √(-9)² - 4(1)(-11)

2(1)

X =

9+√125/ 2

9/2 5/2 √5 or x = 9/2 -5/2 + -5/2 √5

x+4/9=3/4 what is x?

Answers

Answer:

11/36

Step-by-step explanation:

To answer this, you must first convert your fractions to have the same denominators (so you can add and subtract them). I switched it to 36ths. So, the equation would be x+16/36=27/36. When you subtract 16/36 from 27/36 you get 11/36. This cannot be simplified, so 11/36 is the answer. I hope it helps.


Two similar flagpoles are on either side of a park. The taller of the two flagpoles is 40 feet tall and casts a 32 foot shadow. If the
smaller of the two flagpoles casts a 20 foot shadow, how tall is it

Answers

Answer:

28 feet tall

Step-by-step explanation:

Identify a function rule for the following ordered pairs (0, -1), (2, 3), (3, 8), (4, 15)

A) y=x^2

B) y=x-1

C) y=x²-1

D) y=2x-1

Answers

Answer:

C

Step-by-step explanation:

Looking at the first point we know that it can't be A

Then we can easily see that the rate of change is not level (which means it isn't linear)

this leaves option C

Another way to solve this is just by plugging in points

for example for C

(4,15)

15=4^2-1

15=15

The value of all of the quarters and dimes in a
parking meter is $6. There are twice as many
quarters as dimes. What is the total number of
dimes in the parking meter?

Answers

Answer:

Step-by-step explanation:

Pls help i know this should be easy but pls help i only have 1 point left after posting this

Answers

Answer:

I think it will be

1. integer

2. whole

3. rational

4. rational

I'm not sure but I think this is correct

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
MEEEEEEEEEEEE

Answers

Answer:

Part A.

Sample 1 mean is 3.75

Sample 2 mean is 3.5

Sample 3 mean is 4.25

Part B.

The range of sample means is 0.75

Part C.

A.

C.

SUPER EASY BUT I NEED HELP PLEASSEEEEE

Answers

Answer:

9 x 5 x 2 = 9 x 10

Step-by-step explanation:

Since 5 x 2 is 10, 9 x 10 is the same thing as 9 x 5 x 2.

Answer: 10

Step-by-step explanation: 9 times 5 times 2 is 90, and 90 divided by 9 is ten.

Help me please i will mark brainliest

Answers

Answer:

The answer is 1/5

Step-by-step explanation:

The answer is 1/5

4) In how many ways can 6 players be assigned to 6 positions on a baseball team, assuming that any
player can play any position?
A) 30 ways
B) 720 ways
C) 1440 ways
D) 360 ways

Answers

Answer:

B. 720 ways

Step-by-step explanation:

To solve you would multiple 6x5x4x3x2x1 .

The required number of ways can 6 players be assigned to 6 positions on a baseball team is 720ways.

Given that,

Number of players = 6

Assigned position on a baseball = 6

We have to determine,

In how many ways can 6 players be assigned to 6 positions on a baseball team.

According to the question,

To solve this problem assuming that any player can play any position.

The formula to find [tex]^nP_r[/tex] is given by:

[tex]^np_r[/tex] is the permutation of arrangement of 'r' objects from a set of 'n' objects, into an order or sequence.

The formula to find permutation is:

[tex]^np_r = \frac{n!}{(n-r)!}[/tex]

Where, n = 6 and r = 6

Therefore,

[tex]^6p_6 = \frac{6!}{(6-6)!} \\[/tex]

     [tex]= \frac{6\times5\times 4 \times 3 \times 2 \times 1}{0!} \\\\= \frac{720}{1} \\\\= 720 \ ways[/tex]

Hence, The required number of ways can 6 players be assigned to 6 positions on a baseball team is 720ways.

For more information about Permutation click the link given below.

https://brainly.com/question/25006168

I'm confused someone help!!!

Answers

Answer:

me also confuse lol

Step-by-step explanation:

Answer:

x=90°

Step-by-step explanation:

They're all 90° angles

look at the pic and read what it says to answer my question

Answers

Answer:

70

Step-by-step explanation:

Answer:

-70 F

Step-by-step explanation:

-38 - 32 = 70

What is 11π/6 in degrees?
A) 315 degrees
B) 300 degrees
C) 210 degrees
D) 330 degrees

Answers

Answer:

The answer is D which is 330

Answer:

330 degrees

Step-by-step explanation:

[tex]\pi = 180 so \pi /6 = 30 \\30 x 11 = 330[/tex]

a school theater can sell 21 tickets for a show if 6 have been sold how many tickets are still left to be sold

Answers

Answer:

15

Step-by-step explanation:

21-6=15

Answer:

The answer is 15

Step-by-step explanation:

Just subtract

The graph shown below expresses a radical function that can be written in the form f(x) = a * (x + k) ^ (1 / n) + c does the graph tell you about the value of k in this function ? A. k equals zero.
B. k is less than zero.
C. k is greater than zero.
D. It is not possible to tell whether k is greater than or less than zero.

Answers

Answer:

C

Step-by-step explanation:

Just took the quiz

Based on the graphed values of f(x) and independent variable x, the graph shows that C. k is greater than zero.

What is the value of k?

We have a c value of -1 which is where the y axis is intercepted.

We know that k isn't zero because the x and y values are not the same. We can also tell that k is not less than 0 because if it was, the f(x) for the smaller x value would lead to a larger f(x) value.

The only logical conclusion therefore, is that k is greater than zero.

Find out more on radical functions at https://brainly.com/question/13430746.

How do I find and solve this? Find x.

Answers

Answer:

x=36

Step-by-step explanation:

[tex]60^{2} = 48^{2} + x^{2} \\x^{2} =60^{2} - 48^{2}\\x^{2} =3600 - 2304\\x=36[/tex]

It’s x=36 would be the answer

3. The amount was $120 at 5% rate for 4
years.

Answers

Answer:

Go to photo math thank me later

Step-by-step explanation:

dowload tha app on ur phone

When Victoria goes bowling, her scores are normally distributed with a mean of 130
and a standard deviation of 11. What is the probability that the next game Victoria
bowls, her score will be between 123 and 130, to the nearest thousandth?

Answers

Answer:

0.2377 or about a 23.77% chance

Step-by-step explanation:

P(123<X<130) = normalcdf(123,130,130,11) = 0.2377303466 ≈ 0.2377

Therefore, the probability that the next game Victoria bowls, her score will be  between 123 and 130 is 0.2377 or about a 23.77% chance

Select the correct answer from each drop-down menu.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.

Answers

Answer:

Graph A ,appears to decrease less

Step-by-step explanation:

In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.

Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let graph A shows the product quality with number of faulty products over the period of months

And , let graph B shows the product quality with number of faulty products over the period of months

Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate

Hence , graph A is best for presentation

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

Jimmy has saved 375 to purchase a new guitar. this is 3/4 of the total price of the guitar. what is the price of the guitar?​

Answers

Answer:

500

Step-by-step explanation:

375/3=125

125*4=500

PLS GET ME DA ANSWER ASAP AHHHHHHHHHHH!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

You can use process of elimination. In D and A all the y numbers are staying the same. In B, the numbers are decreasing. So the only possible answer is C.

Hope this helped!! :D

What is the daily periodic rate for a credit card with an APR of 14.99%? Leave your answer as a percent rounded to 4 decimal places.

Answers

Answer:

the daily periodic rate is 0.0411%

Step-by-step explanation:

Given that

The Annual percentage rate is 14.99%

We need to find out the daily periodic rate for the credit card

As we know that

Daily periodic rate = annual percentage rate ÷ 365 days

= 14.99%  ÷ 365  days

= 0.0411%

Hence, the daily periodic rate is 0.0411%

i need an answer...............................

Answers

Answer:

8 i think

Step-by-step explanation:

Other Questions
PLS HELP REWARD THE BRAINLEIST AND STARS A student is given a list of traits and is asked to organize them in a Venn diagram as shown below.Which traits should the student put in section II (Both)?1 a scar and blood type2 tiger's stripes and wolf's social status3 musical talent and wolf's social status4 musical talent and skin color What were the North and South fighting for in the civil war? (Hint: the answer is different for the north and the south) Which of the following statements about corporate governance in China is false? a. The state still uses direct and/or indirect controls to influence the strategies employed by most firms. b. The Chinese governance system may be tilting toward the Western model. c. Firms with higher state ownership tend to have lower market value and more volatility in those values over time. d. Private firms seek to establish political ties with the government to increase market value and avoid potential conflict between the principals. Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3 The mean absolute deviation is ____ Margaret works at a clothing store. Today she has sold only shirt and pants.The ratio of the number of shirts sold to the number of the items sold to 2/5. Which model shows this to ratio 1 ptsQuestion 11Read this sentence from the article.Imagine inching over a yawning black hole on a crude ladder.How would the effect of this sentence be different if the author had used the word going instead of inching?o It would make the act seem less fun.It would make the act seem more difficult.It would make the act seem less terrifying.o It would make the act seem more dangerous. if hypertonic has more solutes than hypotonic does hypertonic have more or less water? What is the net force in the following diagram? Which words best describe the tone of this passage?a. Hopelessness, angerb. Confidence, prideC. Fear, cowardiced. Naivety, innocence What was the purpose of bread and circuses? And, do you think its purpose was a success?Ch. 11/L-3 pg. 1ORHow did Julius Caesar rise to power in Rome? Give 3 reasons. Ch. 11/L-3 pg. 3-4 (Extra Credit if you answer both= +5) 45 is what percent of 500? Help 1. How did Abraham Lincoln oppose slavery prior to becoming president? Choose more thananswer.Founded abolition society in IllinoisVoted for anti-slavery bills in CongressDelivered speech opposing Kansas-Nebraska ActRan for Senate as DemocratDebated Stephen A. Douglas on topic of slaveryHelped shape platform of Republican Party Find the area of the object. Use the formula. Show me how you substitute into the formula. Give me the answer with the correct unit. If a child says that a person sounds funny because of a speech impairment, how should a parent address the situation?explain that everyone is unique and ask how they would feel if the situation were reversedsay nothing to the child and do not remove the child from the situationberate the child for saying something hurtful and remove the child from the situationsay nothing to the child and remove the child from the situation immediately Explain the quote: all is self-love. (Paragraph 9) How does the concept of self-love develop the central idea(s) regarding human nature? Which Eastern European country had the most violent transition from communism to democracy?A CzechoslovakiaB Romania C Poland D East Germany What potential problems were created through the Missouri Compromise? PLEASE HELP I AM ON MY LAST QUESTION!!!! A coal-fired power plant was built in a small, rural community twenty years ago and is still in use today. Doctors in the area begin seeing a large number of patients with lung diseases. Which citizens are most likely at risk? A. people whose relatives live very close to the power plant B. people whose relatives can pass on immunity to lung disease C. people whose genetic composition protects them from air and water pollution D. people whose genetic composition can make their lungs more vulnerable to disease