Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.

y = (x +
)2 +

Answers

Answer 1

Answer:

y = (x + 3)^2 + 1

Step-by-step explanation:

100% on edge

Have a nice day :]

Answer 2

The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

What is the vertex form?

The vertex form of an equation is a quadratic equation, written in the form of a parabola

The equation is given as:

[tex]y = x^2 + 6x + 10[/tex]

Write out the constant

[tex]y = (x^2 + 6x) + 10[/tex]

Take the coefficient of x

[tex]k = 6[/tex]

Divide by 2

[tex]k/2 = 3[/tex]

Square the expression

[tex](k/2)^2 = 9[/tex]

So, we have:

[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]

Rewrite as:

[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]

[tex]y = (x^2 + 6x + 9) + 1[/tex]

Express as a perfect square

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

Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

Read more about vertex forms at:

https://brainly.com/question/26738087


Related Questions

HELPP!!! I need help!

Answers

Answer: c.

Step-by-step explanation:

x^2 + 2x - 5 - (x - 3)

distribute the negative

x^2 + 2x - 5 - x + 3

combine like terms

x^2 + x - 2

Answer:

B

Step-by-step explanation:

You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.

Five times the sum of a number n and seven
Hint- you need parenthesis

Answers

5(n + 7) is the equation

The equation of the problem is [tex]5(n+7)[/tex]

The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.

First person to answer gets brainly!!

Answers

30
4•3=12
6•3=18
18+12=30
it’s 30!! (i have to keep typing to get to 20 characters)

Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds

Answers

Answer:

.44 repeating would be your decimal of dogs that weigh under 20 pounds.

Step-by-step explanation:

Answer:

.44

Step-by-step explanation:

What is 7/8 x 4/5 divided by 7/20

Answers

Answer: 2

Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.

4/10 would be your answer to your question

Find the slope help plz​

Answers

Answer:

The slope would be 10/15 or 2/3 in simplest form.

A washer and a dryer cost combined $664 The washer costs $36 less than the dryer. What is the cost of the dryer?

Answers

Answer: 350?

Step-by-step explanation:

664-36=628

628 divided by 2= 314 (cost of the washer)

314+36= 350

Hope this helps!

sum n=3 ^ infty (2n+5)
find the series shown​

Answers

Answer: Choice C) 11 + 13 + 15 + 17 + ...

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

Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]

which matches with choice C. The three dots indicates the pattern goes on forever.

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

Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]

Solve for c in the proportion.

Answers

Answer:

c = 3

Step-by-step explanation:

you have to multiply then divide

9 × 1 = 9

then divide...

9 ÷ 3 = c = 3

there you have it, folks

There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?

Answers

Answer:

3 benches needed

Step-by-step explanation:

Answer:

3 benches

Step-by-step explanation:

4 people to one bench

12 people divided by 4 = 3 benches

write an Equation that represents the lines

Answers

Answer: The answer is Y=3/4x -4.5

Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5

another way to write 2 5/2×4

Answers

Answer:

4 1/2(4)

Step-by-step explanation:

djjdiebjeidjjexjjebej

Please help, will mark brainliest for the correct answer

Answers

Answer:

C. 23/21

Step-by-step explanation:

Your answer is c 23/21
Please mark brainliest

A 4-pack of museum tickets costs $30.28. What is the unit price?

Answers

Answer:

7.57

Step-by-step explanation:

30.28/4 = 7/57

I need Your help plish​

Answers

Answer:

5

Step-by-step explanation:

Because there is zones

please help this is very urgent!!! :((((

Answers

Answer:

7

Step-by-step explanation:

x = 2

3x/2+4

3(2)/2 + 4

3+4

7

7 is the correct answer

Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3

Answers

it’s is in standard form...

Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per
ride is 50¢. If his parents gave him $20, write and solve a linear equation to find how many
rides he can go on.

Answers

Answer:

I think 40

Step-by-step explanation:

20/.50

Answer:

30 rides

Step-by-step explanation:

First subtract $5 from $20 (20-5) to get $15 now multiply 15 by 2 (which is the same as dividing by 1/2. and you get 30. so your answer is 30 rides

20-5=15       15x2=30     30 rides

The sum of 3 consecutive numbers is 72. What is the largest of these numbers?

23
25
26
28

Answers

Answer:

25

Step-by-step explanation:

23+24+25=72

hope i helped!! :)

( if it is right, pls mark brainliest!!)

Answer:

25

Step-by-step explanation:

let x represent the first consecutive number.

let x+1 represent the second consecutive number.

let x+2 represent the third consecutive number.

x + x+1 + x+2 = 72

3x + 3 = 72

3x = 72 - 3

3x = 69

3x/3 = 69/3

x= 23

first number= x = 23

second number = x+1

= 23+1

=24

third number= x+2

=23+2

=25

the largest of these numbers is 25

His supplies cost him $3.25 for a pitcher of lemonade. To make a profit, Ryan will apply a 68% markup. Which is the amount of markup Ryan will add?
helpp

Answers

Answer: 212.50%

Step-by-step explanation:

HELP ITS MATH AND I SUCK AT MATH WILL GIVE BRAINLIEST :)))))

Answers

Answer:

i believe it's A. f(x) slope is greater than g(x) slope

Step-by-step explanation:

the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one

Answer:

A

Step-by-step explanation:

Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),

Answers

you would need to put 4 in for (n)so, 5(4)+8 then solve. 5 times 4=20 plus 8 is 28. I hope I could help!

The value of the function f(n)=5n+8 for f(4) will be 28.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

To know more about functions follow

https://brainly.com/question/17043948

#SPJ2

what is the answer to 9/11 - 4/11

Answers

Answer:

the answer is approximately 0.4545

Step-by-step explanation:

I just searched it on google. i got you my guy

Answer: 5/11

The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).

So: 9/11 - 4/11 = 5/11

Write the symbolic expression in words:
PLEASE SOMEONE HELP

Answers

Answer:

The expression “32” is a symbolic term. ... This means the term has variable meaning depending on which value is substituted for x. For example, if you set x=−2, you get (−2)2, another name for 4. x2−6x+4y (mentioned above) is symbolic term with two variables.

I hope that helps im only in 8th grade so I don't fully understand it either lol

Part C: Create a graph that represents the solutions to the equation from Part A

Answers

Answer: Dear friend google

Step-by-step explanation: search it up

3.4 x 10^3 in standard notation

Answers

Answer:3400

Step-by-step explanation:

Answer:

3240

Step-by-step explanation:

3.24

×

10

3

=

3.24

×

1000

This means you move the decimal spot 3 digit spaces to the right.

Count 3 spaces:

3.2.4.0 →

3240

So then your number becomes

3240

one-eight a number is two more than one-fourth the number. What is the number?​

Answers

Answer:

40

Step-by-step explanation:

40/4 = 2+40/5 = 10

Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?

Answers

Given:

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

There are 48 blue raspberry and cherry flavored ice sticks altogether.

To find:

The total number of ice sticks.

Solution:

Let x be the total number of ice sticks.

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Blue raspberry [tex]=\dfrac{2}{5}x[/tex]

Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]

                                   [tex]=\dfrac{3}{5}x[/tex]

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]

          [tex]=\dfrac{1}{5}x[/tex]

Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]

           [tex]=\dfrac{2}{5}x[/tex]

There are 48 blue raspberry and cherry flavored ice sticks altogether.

[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]

[tex]\dfrac{4}{5}x=48[/tex]

[tex]x=48\times \dfrac{5}{4}[/tex]

[tex]x=60[/tex]

Therefore, the total number of ice sticks is 60.

POSSIBLE POINTS: 0.86 Marcus is trying to decide between a cable subscription and a satellite dish. The cable subscription has a $40 setup fee and costs an additional $38 per month. Marcus has $500 budgeted for cable. How many months (m) can he pay for the cable subscription? WRITE AN EQUATION THAT CAN BE USED TO FIND THE NUMBER OF MONTHS HE CAN PAY FOR THE CABLE SUBSCRIPTION​

Answers

Answer:

0.156

Step-by-step explanation:

step1. add 40 + 38 = 78

step2. divide 78 by 500 to get 0.156

hope im right

The product of a number and is 3 Find the number.
Your answer​

Answers

the product of

-3 and -11/9 is 3(2/3)
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