What is Y=3x^2+6x+10 in vertex form.

Answers

Answer 1

Answer:

y=3(x+1)^2+7

Step-by-step explanation:


Related Questions

a) y=(x+4)7-7)
Convert factored form to standard form

Answers

Answer:

[tex]y - 7x = 21[/tex]

Step-by-step explanation:

Given

[tex]y = (x + 4)7 - 7[/tex]

Required

Convert to standard form

[tex]y = (x + 4)7 - 7[/tex]

Start by opening the bracket

[tex]y = x*7 + 4*7 - 7[/tex]

[tex]y = 7x + 4*7 - 7[/tex]

[tex]y = 7x + 28 - 7[/tex]

[tex]y = 7x + 21[/tex]

Subtract 7x from both sides

[tex]y - 7x = 7x - 7x + 21[/tex]

[tex]y - 7x = 21[/tex]

Hence:

The standard form is: [tex]y - 7x = 21[/tex]

100 points!

Romantic writers rejected the logical style of writers from the age of reason and instead focused on individual experiences, thoughts, and emotions. Romantic literature used lofty, expressive language to highlight a particular mood and message. What do you think these techniques offered to romantic writers that previous styles did not? Consider the romantic literature you have read. Do you think these techniques and styles were effective for the themes and subjects being addressed? Why or why not?

Answers

Answer:

Step-by-step explanation:

Romantic writers have the advantage of writing what they feel not just what they made up. Romantic writers can make a book sad, scary, and happy. Whereas fictional books almost always end up perfect for the main character. I do think that the techniques and styles were effective for the themes and subjects being addressed because they flow into the subject. Using an absolute sob story for a romantic book could be passed off as a hit if you use the right techniques. So, yes. I do think that the techniques and styles were effective for the themes and subjects being addressed.

The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17

Answers

Answer:

A.

Step-by-step explanation:

5 is added each time

3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

Answer:

8,13,18

Step-by-step explanation:

Plzzz helppppp !!!!! Write this as an equation that represents the function

Answers

Step-by-step explanation:

y = mx + c

When x = 0, y = 2.

=> (2) = m(0) + c, c = 2.

When x = 3, y = 8.

=> (8) = m(3) + 2, 3m = 6, m = 2.

Hence the answer is y = 2x + 2.

Rationalize the denominator and simplify. √a+1 - 2 / √a+1 + 2

Answers

Answer:

5+a-4√a+1 / a-3

The rationalization of given expression is a+5-4√(a+1)/(a+5).

What is Rationalization?

Rationalization can be considered as the process used to eliminate a radical or an imaginary number from the denominator of an algebraic fraction. That is, remove the radicals in a fraction so that the denominator only contains a rational number.

The given expression is √(a+1)-2/√(a+1)+2.

Multiply both numerator and denominator by (a+1)-2, we get

√(a+1)-2×(a+1)-2/√(a+1)+2×(a+1)-2

= (√(a+1)-2)²/(√(a+1))²+2²

= (√(a+1))²-2×√(a+1)×2+2²/a+1+4

= a+1-4√(a+1)+4/(a+5)

= a+5-4√(a+1)/(a+5)

Therefore, the rationalization of given expression is a+5-4√(a+1)/(a+5).

Learn more about the rationalization here:

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£560 is divided between Kate, Nima & Roshana so that Kate gets twice as much as Nima, and Nima gets three times as much as Roshana. How much does Nima get?

Answers

Answer:

£168

Step-by-step explanation:

Amount to be shared = 560

Roshana's share = x

Nima's share = 3x

Kate's share = 2 * 3x = 6x

X + 3x + 6x = 560

10x = 560

x = 560 / 10

x = 56

Nima's share = 3x

Nima's share = 3* 56 = £168

What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Give your answer rounded to 2 D

Answers

Answer:

807.21

Step-by-step explanation:

for the 1 % decrease

1/100 × 784 = 7.84

784 - 7.84 = 776.16

then 4% increase

4/100 × 776.16 = 31.0464

776.16 + 31.0464= 807.2064

in 2 Decimal places

807.21

Answer:890

Step-by-step explanation:

Please help me I need it by 11:59!!!!!!!!!!!!!!

Answers

Answer:

f(x)=0.5x+3.5, x<1

f(x)=-2x+6, x>1

Step-by-step explanation:

Find the Point of Interest, which is at x=1 because the direction changes. Find the slope (rise/run) of the line on the left which is 1/2 or 0.5. Find the y-intercept by plugging in the given point: (-3, 2). 0.5(-3)+c=2 so the y-intercept is 3.5. Do the same for the line on the right.

Solve by using substitution
x=3y-1
x+2y=9

Answers

Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

Tap for fewer steps...

Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

Tap for fewer steps...

Move all terms not containing yy to the right side of the equation.

Tap for fewer steps...

Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

Tap for fewer steps...

Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

Tap for fewer steps...

Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

please mark me as brainliest thank you

An online service charges $3 for each downloaded movie, plus a monthly fee of $6,50 Which function represents this
situation?
OY=3x6.50
OY"65073
Oy 3x6.50
OY=650x3



I need bad help.

Answers

Answer:

ANSWER

y = 3x + 6.50

EXPLANATION

The $3 for each downloaded movie is the unit rate of change.

This is represent the slope of the linear function that models this situation.

The monthly fee of monthly fee of $6.50 the constant rate.

It represents the y-intercept of the function.

The linear function is given by

y = mx + by=mx+b

The correct choice is y = 3x + 6.50

Answer:

A. Y= 3x6.50

Step-by-step explanation: This is the correct answer, because you can use the process of elimination on answers B and C due to how they are set up. And D is incorrect, because there is no decimal in 650 which is not the correct number in the problem. Therefore, A. Y= $3 for each downloaded movie multiplied by the monthly fee of $6.50 is the correct answer. Hope this helps ^-^.

Please help I’ll give brainlist

Answers

Answer:

z= -30!!

Step-by-step explanation:

z - 8 = -38

  +8     +8

   z = -30

Can y’all plz help me

Answers

2r-9=-18
+9 +9
2r= -9
The answer is r=-9

Answer: 4.5

Step-by-step explains:  1) 2r - 9 = -18

                                          2r - 9 + 9 = -18 + 9

                     2)  ( 9 + 9 )      Add the numbers

                       ( -18 + 9 )    add the numbers

                                            2r = -9

3) Divide both sides of the equation by the same term

4) Cancel terms that are in both the numerator and denominator

                                            r = 9/2 = 4.5

                                                 

                                           

PLEASE HELP I NEED HELP!!!

Answers

Answer:

$2=1

Step-by-step explanation:

6 =$3

Gabrielle saves $48 of her monthly paycheck for college.
She earned $120 last month. What percentage of her paycheck
did Gabrielle save? Choices:
20%
40%
35%
70%
(If you answer correctly, you will get 15 and I can answer one of ur questions. ONLY if you get it right)

Answers

Okay so if it’s $48 out of the paycheck then that would be $48 out of $120. So here to find the percentage we need to find out what percentage 48 is of 120. So the $48 saved, would be 40% of the total $120. So the answer is 40%. Hope this helps! :))))

The percentage of Gabrielle paycheck is 40%. Therefore, option B is the correct answer.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Gabrielle saves $48 of her monthly paycheck for college. She earned $120 last month.

Percentage of paycheck is

48/120 ×100

= 0.4×100

= 40%

Therefore, option B is the correct answer.

To learn more about the percentage visit:

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I really need help plz thank you and can you explain for me to understand
Write an inequality for the following:

the answer is at most 7

Group of answer choices

n ≤ 7

n 7

Answers

first one n is less than or equal to 7

what function is the sequence 5, 10, 15, 20, 25, 30

Answers

its f(x)=5x+5 (this is filling spaceskalekkejdkskwnedododkw)

Answer:

a[tex]n[/tex]=5n

Step-by-step explanation:

HELP THIS IS DUE TODAY
A teacher surveys a sample of students from lake middle school. He asks the students where they’d like to go for a field trip. He records the results:
80 choose the aquarium
60 choose the science center
30 choose the planetarium
40 choose the farm
2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth.

Answers

Answer:

210 students

Step-by-step explanation:

80 students chose the aquarium.

60 students chose the science center.

30 students chose the planetarium.

40 students chose the farm.

The students can't vote for more than one place, so you just add all the numbers together.

80 + 60 + 30 + 40 = 210 students

An Avon sales lady buys a make-up kit for $120 and sells it for $65 more. What is the percent of markup? 37.5%

Answers

Answer: 54.2%

Step-by-step explanation:

The percent mark-up refers to how much higher you sell a product than what you bought it for expressed as a percentage of what you bought it for.

In this case, the woman bought it for $120 and sold it for $65 more.

Cost = $120

Markup = $65

Markup percentage = 65 / 120 * 100%

= 54.2%

PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!

Answers

Answer:I feel like it’s either C or B

Step-by-step explanation:

Can someone please help me answer this?

Answers

Answer: D. 3d

Explain: 3x10=30, 3x11=33, 3x12=36, 3x13=39

I need to know the answer to this

Answers

Answer: 276

Step-by-step explanation:

multiply 1/3 by 4/4 to make it similar to 5/12 that way you can add them. because the denominator is different from each other you can’t add them. once you do that you get 4/12, you then add 5/12 and that equals 9/12. in order to get to 12/12 you need 3/12 more. this 3/12 represents the 69 guest that chose vegetarian. the 5/12 represents the the guest who chose chicken and the 4/12 represents the ones who chose beef. now that you know 69 people is the same as 3/12 of all the guest. you then realize that 9 is divisible by 3. so you multiply 69 by 3 because 3 goes into 9 3 times. which gives you 207. 207 represents 9/12. and we already know 69 represents 3/12. so you add them together and get 276. sorry if that was confusing but that’s the best way i can explain it.

Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9>13

Answers

Answer:

x>4

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

x+9−9>13−9

x>4

What is the distance between points P (-3, 5) and S (6, 9) ?

Answers

The distance would be (9,4) ur welcome
Im pretty sure it would be (9,4)

PLSSS HELP MEEEEEEEEE

Answers

Answer:

Ryan's raft

Step-by-step explanation:

Ryan's raft has greater rate of change

What is the greatest common factor of 14 and 49?

Answers

Answer:

7

Step-by-step explanation:

The greatest common factor is found by listing the factors of both numbers, then finding what the biggest number is that is common.

Hope I helped!! :)

Brainliest?

Have a good night/day/afternoon!!!

The greatest common factor of 14 and 49 is 7.

To find the greatest common factor (GCF) of 14 and 49, we can determine the factors of both numbers and identify their largest common factor.

The factors of 14 are 1, 2, 7, and 14.

The factors of 49 are 1, 7, and 49.

The common factors of 14 and 49 are 1 and 7.

Since we are looking for the greatest common factor, we can conclude that the GCF of 14 and 49 is 7.

To know more about greatest common factor:

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HELP HELP PLSSSSSSSS NOBODY ANSWERS ANYMORE!!!

Answers

Answer:

A im guessing sorry if wrong hope i help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the product in simplest form.

9/10 times 5/7

A 1 13/50

B 9/14

C 14/17

D 4/7

Answers

The answer is B.9/14

Answer:

B 9/14

Step-by-step explanation:

First, we have to find the product by doing the multiplication.

9/10 x 5/7 = 45/70

We have to find the greatest common factor that both the numerator and the denominator share to divide them by which is 5.

We can simplify 45/70 by dividing both the numerator and the denominator by 5.

This will give us 9/14.

We also know that this fraction cannot be simplified anymore since we took the greatest common factor that both the numerator and the denominator shared.

Therefore the answer is B 9/14

(sorry if this is confusing but I hope it helped anyway)

round to the tenth number 8.2548

Answers

Answer:

8.3

Step-by-step explanation:

8.25 has to round up because of the five making it 8.3

8.2548 is because 5 and more let it score 4 or less make it rest

Solve the following quadratic equation by factorising first x^2 + 5x - 14 =0

Answers

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

What is the distance between the points (4, -2) and (1, 2)

Answers

Step-by-step explanation:

because

so √(-3)²+(4)²

√25=5

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