Find the vertex of the quadratic equation f(x) = x2 - 4x - 10

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Answer 2

Answer:

vertex = (2, - 14 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 4x - 10

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² - 4x

f(x) = x² + 2(- 2)x + 4 - 4 - 10

     = (x - 2)² - 14 ← in vertex form

with vertex (h, k ) = (2, - 14 )


Related Questions

Based on the information provided, what type of quadrilateral is this?

Answers

Answer:

Step-by-step explanation same I need this answer too what did you get

Answer:

hi baby how are you please com in zom

Step-by-step explanation:

3566267840 and pas 123456 u are bf

ꜱᴇᴇᴍꜱ ᴇᴀꜱʏ ᴊᴜꜱᴛ ᴄᴀɴ’ᴛ ꜰɪɢᴜʀᴇ ɪᴛ ᴏᴜᴛ

Answers

Answer:

123°

Step-by-step explanation:

2z +9 = x

y = z

2Z +9 + X + z +Y = 360

Substitute for Z

2Z +9 + 2z +9 + z + z = 360

6z +18 = 360

6Z = 342

Z = 57

2(57) +9 = 123

X = 123

Answer:

The person above should be right

Step-by-step explanation:

Have a good day

Use the symmetric property of congruence to complete the following statement if

Answers

Answer:

what?

Step-by-step explanation:

Answer:

Answer

5.0/5

11

Answer: Choice D.  < B = < A

ie, "angle B = angle A"

The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.

This idea can be extended to congruences because congruent angles have the same measure.

So < A = < B is the same as < B = < A.

Step-by-step explanation:

Complete the square to re-write the quadratic function in vertex form:
y = x2 + 72 +6

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:


At the airport, the car rental store charges a $25.00 initial rental fee and $30.00
an hour to use the car. What is the total cost of renting the car for 3 hours?

Answers

Answer:

115$

Step-by-step explanation:

first multiply 30 by 3 which equals 90next add the 25$ fee which would equal 115$

The numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75, 100, 150, 225, 250, 100, 125, 75, 25, 225, and 175. Identify the box-and-whisker plot for the data.

Answers

Could you show the picture that goes with it? 225

The box-and-whisker plot for given data is as shown below.

What is box and whisker plot?"It is a special type of diagram showing Quartiles 1, 2 and 3 in a box, with lines extending to the lowest and highest values.""It is way to show the spread and centers of a data set."What is median?

"It is the middle value of a sorted list of numbers."

For given question,

We have been given a data that represents the numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75, 100, 150, 225, 250, 100, 125, 75, 25, 225, and 175.

If we arrange the data in ascending order then it would be,

25, 50, 75, 75, 100, 100, 125, 125, 150, 175, 175, 200, 225, 225, 250

The minimum value = 25

And the maximum value = 250

Also, the middle value is 125.

So, the median is 125.

The box-and-whisker plot for given data is as shown below.

Learn more about box-and-whisker plot here:

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Valeria's office recycled a total of 44 kilograms of paper over 4 weeks. How many weeks will it take Valeria's office to recycle a total of 66 kilograms of paper? Solve using unit rates.

Answers

The answer would be 6 weeks.

First, you do 44 divided by 4 to get 11 kg per week. Now you divide 66 by 11 to get 6 weeks.

) Alon started in 60% of his team's basketball games this season. He started a total of 12 games. About how many games did Alon's team play this season? *

Answers

Answer:

D

Step-by-step explanation:

Let x = total number of basketball games that was played by the team this season.

Alon started in 60% of his team’s basketball games this season. This means that he started in a total number of 60 percent of x basketball games this season.

60% of x basketball games this season = 60/100 × x

= 0.6×x = 0.6x

From the information given, Alon started a total of 12 basketball games this season. Therefore,

0.6x = 12

x = 12/0.6 = 20

The 12 girls at Suzie's volleyball camp have decided to wear their camp ID's on loops of string around their necks. If each girl needs 1 2 yard of string, how much string do they need in all? Suzie did this work to solve the problem: 12 1 ÷ 1 2 = 12 1 × 2 1 = 24 1 = 24 yards of string Did Suzie solve the problem correctly? No. She should have multiplied 12 and One-half to solve. No. She did not multiply the numerators correctly. No. She did not simplify StartFraction 24 Over 1 EndFraction correctly. Yes. Her work is correct.

Answers

Answer:

No. She should have multiplied 12 and One-half to solve

6 yards

Step-by-step explanation:

Number of girls = 12

Each girl needs = 1/2 yard of strings

Suzie workings:

12/1 ÷ 1/2

= 12/1 × 2/1

= 24/1

= 24 yards

No. She should have multiplied 12 and One-half to solve

Correct workings:

Total strings needed for 12 girls = 12 × 1/2 yards

= (12*1)/2

= 12/2

= 6 yards

Answer:

The answer is A.

Step-by-step explanation:

I got it right on Edge 2021.

Which of the following ordered pairs is a possible solution to the equation y=1/2x+3 ?



a) (0, 3)

b) (1, -2.5)

c) (0, -3)

d) (-1, -2.5)

Answers

Y=3 The answer is a.

Is this right? If not can someone correct me and tell me what I did wrong?

Answers

Answer:

Yes

No

No

Step-by-step explanation:

1/4(12)=3

100-184=-84

12(5)=60

The expression 12.5x can be used to determine the total amount of wages earned after working x
hours at a rate of $12.50 per hour. What is the total amount of wages earned by someone who
works 40 hours?

Answers

Answer:

500 dollars earned

Step-by-step explanation:

if 12.5x is the amount per hour they earn then multiply that by the amount of hours they work

PLEASE HELP ILL GIVE BRAIN

Answers

Answer:

Step-by-step explanation:

15. (-4-3)/(-5-0)= -7/-5= 7/5

      y - 3 = 7/5x - 0

      y = 7/5x + 3

16. (-2-3)/(4-0)= -5/4

     y - 3 = -5/4x - 0

     y = -5/4x + 3

17. (-3+5)/(0+3)= 2/3

    y + 5 = 2/3(x + 3)

     y + 5 = 2/3x + 2

     y = 2/3x - 3

18. (-2-2)/(0+4)= -4/4= -1

       y - 2 = -1(x + 4)

       y - 2 = -x - 4

       y = -x - 2

19. y - 3 = 1/2x - 0

     y = 1/2x + 3

20. y - 2 = -(x + 1)

      y - 2 = -x - 1

      y = -x + 1

21. perp. -5/3

y + 5 = -5/3x  + 0

 y = -5/3x - 5

22. perp. 1/2

   y + 1 = 1/2(x + 4)

   y + 1 = 1/2x + 2

   y = 1/2x + 1

23. perp. 3/4

   y + 5 = 3/4(x + 4)

   y + 5 = 3/4x + 3

   y = 3/4x - 2

24. perp. 7/5

 y - 4 = 7/5(x - 5)

 y - 4 = 7/5x - 7

 y = 7/5x - 3

A television is priced at $298.50. There is a 6% sales tax rate. What is the cost of the television, including tax?

Answers

Answer:

total = 316. 41

Step-by-step explanation:

6% of 298.50 = 17.91

298.50 + 17.91= 316.41

The vector (-3/5) translates a to b What is the vector that translate b to a?

Answers

3/5 in the positive form

The required vector that is translated from b to a is +3/5.

Given that,
We have a vector that translated from a to b,  is -3/5, it is to be determined the vector from b to a.

What is a vector?

The term "vector" is used to describe quantities that have both magnitude and direction. It also refers to the nature of the quantity.

Here,
We have a vector,
[tex]\bar ab = -3/5[/tex]
In order to translate the vector in the reverse direction, its direction will be reversed,
For
[tex]\bar {ba} = - (-3/5)\\\bar {ba} = +3 / 5[/tex]

Thus, the required vector that is translated from b to a is +3/5.

Learn more about vectors here,
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If the school has 27 students, there are how many sixth graders?

Answers

where is the rest of the question? if divided into 6th,7th,and 8th then 9

i dont  know let me know the full question to help you out

The number of students that are sixth graders is 9.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A school has 27 students, and one-third of them are sixth graders.

Therefore, The number of students that are sixth graders is,

= (1/3)×27.

= 9 students.

Q. If the school has 27 students and one-third of them are sixth graders, there are how many sixth graders?

learn more about fractions here :

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2) The function f(x) is defined below. The value of f(-3) is:
f (x) = 4x + 5

Answers

Answer:

so it is 4×(-3)+5 = -12+5= 7

so the answer is 7 I think

Answer: look at the two pictures if you want me to solve for f or x here

Step-by-step explanation: hope this help :)

Help with this please. :)

Answers

Answer:

1) 48

2) 1

3) 2

4) 16

Step-by-step explanation:

.............

You deposit $2500 in an account that earns 2.5% annual interest. Find the balance after one year if the interest is compounded quarterly?

Answers

Answer:

$2563.09

General Formulas and Concepts:

Math

Percents

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

A is final amountP is principle amountr is raten is compounded ratet is time

Step-by-step explanation:

Step 1: Define

P = 2500

r = 0.025

n = 4

t = 1

Step 2: Find A

Substitute in variables [Compounded Interest Rate]:                                  [tex]\displaystyle A = 2500(1 + \frac{0.025}{4})^{4(1)}[/tex](Parenthesis) Add:                                                                                          [tex]\displaystyle A = 2500(1.00625)^{4(1)}[/tex][Exponents] Multiply:                                                                                      [tex]\displaystyle A = 2500(1.00625)^{4}[/tex]Evaluate exponents:                                                                                       [tex]\displaystyle A = 2500(1.02524)[/tex]Multiply:                                                                                                           [tex]\displaystyle A = 2563.09[/tex]

Please help me out on these! ty

Answers

Answer:

y= -3x+5 for the graph one

Step-by-step explanation:

Answer:

f(x) = -3x + 5

Step-by-step explanation:

Question 7 of 10
The radius of Saturn is 60,268 kilometers. What is its diameter?
A. 30,134 kilometers
B. 120,536 kilometers
C. 60,500 kilometers
D. 30,528 kilometers

Answers

Answer:

I would believe the diameter would be B, if not A

Step-by-step explanation:

Answer:

the answer for this problem should be 120,536

How much would it have rained each month if the total amount rain (11 inches) was redistributed equally among the 12 moths of the year?

Answers

Answer:

Total rainfall in one month [tex]0.9167[/tex] inches

Step-by-step explanation:

The total rainfall around an year is equal to  [tex]11[/tex] inches

There are 12 months in an year.

Total rainfall in one month is equal to total rainfall in an year divided by number of months

Total rainfall in one month

[tex]\frac{11}{12} = 0.9167[/tex] inches

answer for brainly
pls pls pls
brainly

Answers

Answer:

2/5

Step-by-step explanation:

no of sample space , n(s) = 10

no. of probable cases, n(e) = 4

Probability of the arrow landing on a red section , P(e)

= n(e)/n(s)

= 4/10

= 2/5

Answer:

the answer is b, 2/5

Step-by-step explanation:

Rudolph Takes 12 minutes to run 6 times around a 400 meter track assuming he runs at a constant speed how long does he take to run 1 kilometer

Answers

Answer:

5 minutes to run a kilometer please give me brainlyest

12/6 = 2. It takes him 2 minutes to run around once.
1000/400=2.5
he needs to run 2.5 times to run a kilometre.
2 x 2.5 = 5
5 minutes.


Can someone help me with this question please
I’ll mark you as a brainliest.

Answers

Answer:

I dont know what this is I'm so sorry if I did I would help you

I'm not sure about my answer but let me try.

5² + 12² = 169²

square root of 169 = 13 ft.

I'm a little bit confused because it mentions a square but the dimensions show that it's a rectangle.

HELP I NEED ANSWERS FAST ITS E.L.A

1. Select the interjection in the sentence.

These cookies that my Mom baked are Delicious, huh?

Answers

“huh” is the interjection!

Answer:

An interjection is an exclamation or sudden expression within a sentence that has no real connection to it. Common examples include ouch and well. Looking at a list of interjections for kids may further explain this simple definition. An interjection is almost any word in English that you can insert into a sentence to convey emotions.

2.these cookies that my mom baked are smell Delicious.

Step-by-step explanation:

If a rectangle's long side is 2x - 2, and the short side is 3, what is the area of the rectangle?

Answers

Answer:

I don’t know the answer I just need some points to ask more questions !!! have a good day !!

Step-by-step explanation:

7. Which graph matches the inequality ?
12 points
x > 6

Answers

Answer:

it's the Option 2

Explanation;

since x has to be greater than 6 the line would go to the right or towards the greater side.

Then it's a open circle because it's strickly greater than

top right - open circle pointing to right

3 yd
4 yd
What is the length of the hypotenuse?
yards

Answers

Step-by-step explanation:

a² + b² = c²

4² + 3² = 25²

Square root of 25 = 5

C = 5 yards

Colin invests £2900 into his bank account,
He receives 3% per year compound interest.
How much will Colin have after 4 years?
Give your answer to the nearest penny where appropriate.

Answers

The answer is 1353244penies

Answer:

348 pounds

Step-by-step explanation:

Simple Interest = principal x rate x time

so, principal = 2900 x rate = 3/100 x time = 4 years

therefore, 2900 x 0.03 x 4 = 348 pounds

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