Rewrite the function by completing the square
f(x)=x^2-14x+63

Answers

Answer 1

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0Vertex Form: f(x) = a(bx - c)² + dCompleting the Square: (b/2)²

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Separate:                              f(x) = (x² - 14x) + 63Complete the Square:         f(x) = (x² - 14x + 49) + 63 - 49Simplify:                                f(x) = (x - 7)² - 14
Answer 2

Answer:

-7 and 14 on khan


Related Questions

Jaime purchased both a trumpet and a violin for the same amount of money for his music store where he sells used instruments. He marked the trumpet up 40% and sold it for $84. He marked the violin up 45% and sold it to a customer who had a coupon for 15% off any instrument. How much did the customer pay for the violin?​

Answers

Answer:

12

i think this correct answer

NEED HELP STAT, whats 1+1

Answers

Step-by-step explanation:

1+1 is 2 because 1 and 1 will be 2

Can you tell me the answer plsssss​

Answers

Answer:

19. 36 hours

20. 9 months

Step-by-step explanation:

To find these answers you would simply devide what is made by the goal. In #19 it would be 8/288÷36h

For #20 it would be 15÷135=9

Hopefully this helps.

write any algebraic eqaution.

Answers

Answer:

(y4x2 + 2xy – y)/(x – 1) = 12

Step-by-step explanation:

Answer:

x3 + 1

Step-by-step explanation:

PLEASE HALP ME! timothy had 18 liters of pineapple juice, he shared 4 liters with his sister, 2 with his brother. then got another 12 liters. His brother gave him back 3 liters. How much liters does timothy have?


_________

Answers

Answer: 18-4-2=12, 12+12=24, 24+3=27

Timothy has 27 liters.

Answer:

27 liters

Step-by-step explanation:

18-4=14

14-2=12

12+12=24

24+3=27

V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.

Answers

Answer: $11836.8

Step-by-step explanation:

Given. That :

Amount invested = $5000

Interest rate = 9% = 0.09

Period = 10 years, compounded annually

Using the compound interest formula :

A = p(1 + r/n)^nt

A = final amount

P = principal or invested amount

r = rate of interest

n = number of times interest Is applied per period

t = period

A = 5000(1 + 0.09/1)^(1*10)

A = 5000(1.09)^10

A = 5000 * 2.36736367459211723401

A = 11836.81837296058617005

= $11836.8

Five flowering plants are to be planted between two trees which are 12m apart. If the first tree is 2m away from the house, how far from the house is each of the plants?

Answers

Answer:

2m, 14m, 26m, 38m, 50m

Step-by-step explanation:

In order to calculate the distance of each tree from the house we simply need to add 12m to the initial starting point of the first tree which is 2m away, and then add 12m to that distance and so on until all 5 trees are planted. The distances would be the following...

1st Tree: 2m

2nd Tree: 2m + 12m = 14m

3rd Tree: 14m + 12m = 26m

4rth Tree: 26m + 12m = 38m

5th Tree: 38m + 12m = 50m

Therefore, those are the distances between each tree 2m, 14m, 26m, 38m, 50m

Uh help please f(6)=1x+2

Answers

F(6)=1(6)+2

6+2

8

The answer is 8.

HELPPP PWEASEEEEEEEEEEEE

Answers

The answer is going to be C.
pretty sure answer is C...sorry if it’s wrong!

The swamp middle school basketball team purchased new equipment and uniforms. The total cost of the equipment was $245 and each uniform cost $21. If the total cost of their purchase was $518, how many uniforms did they buy? Create an equation for this situation.

Answers

Answer:

13 uniforms

Step-by-step explanation:

Step one:

given data

total cost of equipments= $245

cost of each uniform=$21

Total purchase = $518

Step two:

The amount spent on uniform is total purchase minus the total cost of equipment

=518-245

=$273

Hence the total cost of the uniform is $273

if one will cost $21, then the number of uniforms they bought is

=273/21

=13 uniforms

Answer:

25 uniforms

Step-by-step explanation:

518/21= 24.6 round to 25

Answer: 1 , 3 , 4 , 5

Question: Which of the following sentences are written in dialect? Check the four boxes that apply.
“It was the most thrillingist one that ever was; and so he went on a-bragging.”
“I stood by the duke at the door.”
“He will be deeply obleeged if they will mention it to their friends.”
“We are sold – mighty badly sold.”
“What they wanted was low comedy.”
“These Arkansaw lunkheads couldn’t come up.”

Answers

I assume that it is 1, 3, 4, and 5. Correct me if I'm wrong. Plz give brainliest if I'm right.

Answer:

1. “It was the most thrillingist one that ever was; and so he went on a-bragging

3 “He will be deeply obleeged if they will mention it to their friends.”

4.“We are sold – mighty badly sold.”

6. “These Arkansaw lunkheads couldn’t come up.”

Step-by-step explanation:

Edge-2021

what is 358.21 rounded to the nearest hundreth?

Answers

Answer:

358.2

Step-by-step explanation:

thats the answer because .21=.2

This is due in 30 mins pls help me

Answers

I believe the answer is yes. Hope that helps!

Answer:

Yes, it is still a line

Step-by-step explanation:

The slope of the line is not changed, just the y-intercept. It started as a line, therefore translating it up will have it still remain as a line

If km and np are parallel lines and m

Answers

Answer:

60 degrees

Step-by-step explanation:

A number divided by 42 has a quotient of 28 with a remainder of 4. What is the number?
O 1,064
o 1,172
O 1,176
O 1,180

Answers

Answer:

D. 1,180

Step-by-step explanation:

Given the following data;

Divisor = 42

Quotient = 28

Remainder = 4

A quotient of 28 simply means that a number divided by 42 would have a value that is equal to 28 without any remainder.

Let the unknown number be X

X = (42*28) + 4

X = 1176 + 4

X = 1180.

Method II

Y/42 = 28

Cross-multiplying, we have;

Y = 28 * 42

Y = 1176

Given that the remainder is 4

X = Y + 4

X = 1176 + 4

X = 1180.

Therefore, the number is 1180.

Can somebody please help me solve question 20

Answers

Answer:

35 + 37

Step-by-step explanation:

if you try any other number like: 37 + 39 = 76 that doesn't work well because its higher that 75.

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines increased by factor of 4?

Answers

5.5 I think hope this helps

Answer:

5.5

hope this helped!!!!!

Find the cost with sales tax for an item with a purchase price of $7. Assume that the sales tax is 8%, or 0.08 times the price.
Group of answer choices

Answers

Answer:

$7.56

Step-by-step explanation:

$7(.08) = .56 in tax

$7 item cost + .56 in tax

Solve the division problem below.




The quotient is

Answers

Answer:

25/8

Step-by-step explanation:

Answer:

It's -6

Step-by-step explanation:

i got it right lol

I need the answers to both. Will give brainiest!

Answers

Answer:

1. Number 1 and 2 and 4 is a function, 2. number 1 is a function

Step-by-step explanation:

1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.

2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.

Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.

Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.

Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.

The vertical test is a way to determine if it is a function.

When looking at a table functions are one-to-one and many-to-one

Non-functions are one-to-many and many-to-many

Hoped this helped you : )

Jethro is planting flowers in his garden. He wants the ratio of tulips to roses to be 2 to 1. Jethro wants to plant a total of 18 flowers. How many tulips should he plant?

Answers

Given:

Ratio of tulips to roses = 2:1

Total number of flowers = 18

To find:

The number of tulips.

Solution:

Let the number of tulips and roses are 2x and x respectively.

According to the question,

[tex]2x+x=18[/tex]

[tex]3x=18[/tex]

Divide both sides by 3.

[tex]x=\dfrac{18}{3}[/tex]

[tex]x=6[/tex]

Now,

Number of tulips [tex]=2(6)[/tex]

                           [tex]=12[/tex]

Therefore, the number of tulips is 12.

If Jack wants to retire with $1,000 per month, how much principal is necessary to generate this amount of monthly income if the interest rate is 6% compounded monthly?

Answers

Answer:

He needs to learn the disciplinary principal

Step-by-step explanation:

The principal is necessary to generate this amount of monthly income is $497.

Given that, Jack wants to retire with $1,000 per month.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]Amount=Principal(1+\frac{R}{100})^{nt}[/tex]

⇒ 1000 =P[tex](1+0.06)^{12}[/tex]

⇒ 1000=P×2.012

⇒ P=1000/2.012

⇒ P=$497

Hence, the principal is necessary to generate this amount of monthly income is $497.

To learn more about the compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

If ABCD is an isosceles trapezoid, what is the value of x?


AC = 5x - 25
BD = 3x + 11

Answers

Answer:

X=18

Step-by-step explanation:

Isosceles means two sides are equal. In this case AC and BD are the same. So put both equations equal to each other and solve

Answer:

the answer will be 18 it is correct answer

What is the slope of the line?

Answers

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[tex]slope = - 3[/tex]

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Let me know if you need explanation.

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how do you write a equation with (0,2) and (3,3) in slope-intercept form?​

Answers

Answer:

m= 3-2/ 3-0= 1/3

Step-by-step explanation:

y2= 3 y1= 2

x2= 3 x1= 0


how can you tell when an equation in one variable has infinitely many solutions or no solution?

Answers

Answer:

A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.

For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?

A) 64
B) 128
C) 8
D) 4

Answers

Answer:

Step-by-step explanation:

a

Answer:

your answer is A 64

Step-by-step explanation:

there is 16 cups in a gallon so half a gallon is 8 cups 8x8 is 64

help please this due very soon thank you!!!!

Answers

Answer:

d

Step-by-step explanation:

just look at where both boxes are placed

Answer:

Choice B

Step-by-step explanation:

It shows that in 5 mins they can package 125 boxes, and if there was 1000 mins they would package a x number of boxes.

1 Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children are in this group?

Answers

Given:

Admission to the local movie theater is $3 for each child and $7 for each adult.

A group of 12 people pay $64 admission.

To find:

The number of children in a group.

Solution:

Let the number of children be x and number of adults be y.

According to the question,

Total persons : [tex]x+y=12[/tex]          ...(i)

Total cost : [tex]3x+7y=64[/tex]     ...(ii)

Multiply equation (i) by 7 and subtract the result from (ii).

[tex]3x+7y-7(x+y)=64-7(12)[/tex]

[tex]3x+7y-7x-7y=64-84[/tex]

[tex]-4x=-20[/tex]

Divide both sides by -4.

[tex]x=5[/tex]

Therefore, the number of children is 5.

CORRECT ANSWER GETS BRAINLIEST!!

The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution?
Round your answer to the nearest hundredths.​

Answers

Answer:

2.99 IS THE CORRECT ANSWER

Step-by-step explanation:

Answer:

2.99

Step-by-step explanation:

edge 2023

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