3.
(03.06)
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. (2 points)


f(x) = (x −8)2
f(x) = (x −4)2−13
f(x) = (x −4)2 + 3
f(x) = (x −4)2 + 16

Answers

Answer 1

Answer: f(x) = (x −8)2

Step-by-step explanation:


Related Questions

HELP ME
Todd surveyed the 25 7th grade students in the art club to determine what movies 7th grade students prefer.

Explain why this is not an appropriate sample to use to infer the preference of all 7th grade students.

Describe a better sampling method.

HELPPP​

Answers

Answer:

Step-by-step explanation:

It isn't an appropriate sample to use to infer the preference of all 7th grade students because they only get the students in one club, a better sampling method would be to get the answer from 25 grade 7 students in other clubs including the art club.

- i'm sorry if this doesn't make any sense

Todd's method of sampling is incorrect because he chose the student from a single club. To make it better he has to choose students from different clubs.

What is a sample method?

The sampling method is the method of selecting the subset from the set to make a statical inference.

Todd surveyed the 25, 7th-grade students in the art club to determine what movies 7th-grade students prefer.

This method is not an appropriate sample to use infer preference of all 7th-grade students because they only get the students in one club, a better sampling method would get the correct surveyed from 25 grade 7 students in other clubs including the art club.

More about the sample method link is given below.

https://brainly.com/question/15125943

82837848+8383830.84-73327.00.73 =?

Answers

Answer:

91148351.8327

Step-by-step explanation:

Calculator

confused can get some help plz

Answers

Answer:

Blue costs 2.875 or 2.88 if rounded, Red costs 3.875 or 3.88 if rounded

Step-by-step explanation:

In a recent year, 39% of all college students were enrolled part-time. If 5.8 million college students were enrolled part-time that year, what was the total number of college students?


Round your answer to the nearest million.

Answers

Answer:

15 million

Step-by-step explanation:

39% of all college students enrolled part-time.

5.8 million college students enrolled part-time.

Let x =  the total number of college students.

39/100 • x = 5.8

x = 5.8 • 100/39

x = 14.87

=15 million

Hope this helps :)

The formula for the area of a rhombus with diagonals of lengths c and d is A= 1/2 cd.
a. Solve the formula for c.

b. The area of a rhombus is 35 square feet. The length of one of the diagonals is 10 feet. What is the length of the other diagonal?

c. In a square (which is a rhombus), the lengths of the diagonals are the same. If a square has an area of 32 square feet, then what is the length of each diagonal

Answers

Answer:

I think it's A

Step-by-step explanation:

i apologize if I'm wrong

HELP ME I GOT 67 POINTS THAT I WILL GIVE AND ILL GIVE YOU BRAINIST

Answers

Answer:

35.325 in³

Step-by-step explanation:

Since the base of a cylinder is a circle,

area of cylinder= πr²h

Radius, r

= diameter ÷2

= 3 ÷2

= 1.5 inches

Volume of can

= 3.14(1.5)²(5)

= 35.325 in³

35.34
V=3.14x r^2= 35.34292

Which product is represented by the hundredths grid A. 0.5 X 0.02 = 0.01

B. 5 X 0.2=1

C. 0.5 X 0.2 = 0.1

D. 0.05 X 0.02 = 0.001

Answers

Answer:

The product of A would be the answer

The coordinates of which point are (–3, –6)?point Apoint Bpoint Cpoint D

Answers

The coordinates of which point are (–3, –6) is point B

What are coordinates?

Coordinates are the position of a point in the coordinate plane.

From the graph, we have the following highlights

Point B is at x = -3, and y = -6

The above means that:

(x,y) = (-3,-6)

Hence, the coordinate of (-3,-6) is point B

Read more about coordinates at:

https://brainly.com/question/17206319

Answer:

its point b edge 2022

Step-by-step explanation:

Which of the ratios below has a unit rate of 5? Select all that apply. A) 10:5 B) 4:16 C) 15:3 D) 25:5 E) 40:8

Answers

Answer:

C D E

Step-by-step explanation:

15:3=5

25:5=5

40:8=5

299 divided by 21 step by step

Answers

Step 1:
Start by setting it up with the divisor 21 on the left side and the dividend 299 on the right side like this:

2 1 ⟌ 2 9 9

Step 2:
The divisor (21) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

0
2 1 ⟌ 2 9 9

Step 3:
Multiply the divisor by the result in the previous step (21 x 0 = 0) and write that answer below the dividend.

0
2 1 ⟌ 2 9 9
0

Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

0
2 1 ⟌ 2 9 9
- 0
2

Step 5:
Move down the 2nd digit of the dividend (9) like this:

0
2 1 ⟌ 2 9 9
- 0
2 9

Step 6:
The divisor (21) goes into the bottom number (29), 1 time(s). Therefore, put 1 on top:

0 1
2 1 ⟌ 2 9 9
- 0
2 9

Step 7:
Multiply the divisor by the result in the previous step (21 x 1 = 21) and write that answer at the bottom:

0 1
2 1 ⟌ 2 9 9
- 0
2 9
2 1

Step 8:
Subtract the result in the previous step from the number written above it. (29 - 21 = 8) and write the answer at the bottom.

0 1
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8

Step 9:
Move down the last digit of the dividend (9) like this:

0 1
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8 9

Step 10:
The divisor (21) goes into the bottom number (89), 4 time(s). Therefore put 4 on top:

0 1 4
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8 9

Step 11:
Multiply the divisor by the result in the previous step (21 x 4 = 84) and write the answer at the bottom:

0 1 4
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8 9
8 4

Step 12:
Subtract the result in the previous step from the number written above it. (89 - 84 = 5) and write the answer at the bottom.

0 1 4
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8 9
- 8 4
5

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 299 divided by 21 calculated using Long Division is:

14
5 Remainder

In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?

Answers

The probability that a student who does not have a brother has a sister is 53.33%.

Probability

Given that in a class of 20 students, 5 have a brother and 11 have a sister, and there are 3 students who have a brother and a sister, to determine what is the probability that a student who does not have a brother has a sister the following calculation must be performed:

20 - 5 = 10011 - 3 = X15 = 1008 = X8 x 100 / 15 = X800 / 15 = X53.33 = X

Therefore, the probability that a student who does not have a brother has a sister is 53.33%.

Learn more about probability in https://brainly.com/question/13553988

you could give away 70 coffee mugs without charging anything.
If you charge $10.00, nobody will buy the coffee mugs. You also figured out that your sales will be decreasing
following straight line. Your job is to find the maximum possible revenue from selling the coffee mugs.
Answer the following questions:

1. Graph the linear relationship between the price of coffee mugs p, and the number of coffee mugs sold S.
Hint: To give away 70 coffee mugs means when the price p=0, S(0) = 70. Plot that point on the graph. Find one
more point using the other given condition. Keep in mind S(p) is a linear function. Be careful what will be
represented on the x-axis, and what will be represented on the y-axis.
2. Find the equation of the linear function S(p) that describes the quantity sold as a function of the price p.
3. The revenue is determined by R = Sp. Express the revenue as a function of the price p.
Help: You may look at the examples from the power point for section 2.6
4. Graph the revenue function. Make sure to label the x - and the y - axis with the appropriate units.
5. At which price per coffee mug do you not make any money?
6. Find the price per coffee mug that makes the most revenue.
7. How many coffee mugs must be sold to maximize the revenue?
8. What is the maximum revenue?
9. What price per coffee mug you should charge to collect at least $70 in revenue?
Your project will be graded based on the following:
1. Turned in a hard copy, and an electronic version as a PDF file on Blackboard on time (due date Dec 7
or before ) (5pts. deduction per day)
2. Completeness (no missing part, show all of your work, calculations, formulas used etc.
3. Precision ( correct answers )
4. Complete graph
the graph has a title
the axes are labeled ( make sure you have included the units of measurement)

-

Answers

At $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.

Since you could give away 70 coffee mugs without charging anything, and if you charge $ 10.00, nobody will buy the coffee mugs, and you also figured out that your sales will be decreasing following straight line, and your job is to find the maximum possible revenue from selling the coffee mugs, to determine at which price per coffee mug do you not make any money; the price per coffee mug that makes the most revenue; how many coffee mugs must be sold to maximize the revenue; what is the maximum revenue; and what price per coffee mug you should charge to collect at least $ 70 in revenue; the following calculations must be performed:

70 = 0 0 = 10 35 = 5 63 x 1 = 63 56 x 2 = 112 49 x 3 = 147 42 x 4 = 168 35 x 5 = 175 28 x 6 = 168

Therefore, at $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.

Learn more about quantities in https://brainly.com/question/25797049

Pleaseee helpppp me!!!!!!!!!!!!! ​

Answers

Answer:

The graph is linear and increasing from x = -6 to x = -2.

The graph is nonlinear and decreasing from x = -2 to x = 0.

Step-by-step explanation:

Linear means it has a constant slope, or a constant rate of change. That makes a straight line on a graph. On the given graph, you can see the straight line increasing from x = -6 to x = -2.

Non-linear is just anything that isn't a constant slope, and makes a curve on a graph. On the given graph, the curve decreases from x = -2 until x = 0, where it reaches its lowest point and starts heading upwards again.

the sum of two rational numbers is 17/18 If one of the numbers is 5/24 find the other number

Answers

Step-by-step explanation:

x + y = 17/18

x = 5/24

5/24 + y = 17/18

to bring both fractions to the same denominator (I see it is 72, but let's do it formally correct for you to learn), we look for the LCM, the lowest common multiple of both.

for this we split both numbers into their prime factors and then build the the combination of the longest chains per prime factor :

24 = 2×2×2×3

18 = 2×3×3

the LCM (and the new denominator) is then

2×2×2×3×3 = 8×9 = 72

so,

15/72 + y = 68/72

y = 53/72

53 is a prime number, so the fraction cannot be further refined.

Image below: Mathematics help!

Answers

Answer:

x=10/3, y=6

Step-by-step explanation:

since t and s intersect, we have 2/4 = 3/y, cross multiply to get 2y=12 so y=6

we also have 2/x=3/5 because a and b are parallel, cross multiply to get 3x=10, so x=10/3

Answer:

Step-by-step explanation:

Use point-slope form to write the equation of a line that passes through the point
(-6,3) with slope – 2.

Answers

Answer:

y = -2x - 9

Step-by-step explanation:

Slope = - 2

Using the slope = -2 and the point (-6, 3) substitute into y= mx + b and solve for "b"

y = mx + b

3 = -2(-6) + b

3 = 12 + b

3 - 12 = b

-9 = b

The equation of the line is y = -2x - 9

Is that the right answe plzzz help me

Answers

Answer:

Your answer is All of the Above.

Hope this helps!

Step-by-step explanation:

OA is the radius

OC is the radius

and OB is the radius

( They are all half length of the circle )

plz help!

1. (0, y) , (2, 7); m = 1/2

y = _____

2. (4, 2) , (5, y) m = 4

y = _____

Answers

Answer:

Step-by-step explanation:

y = mx + b, where m is the slope and y the y-intercept (the value of y when x=0).

(0, y) , (2, 7); m = 1/2

We can start with y = (1/2)x + b

To find b, use one of the two given points.  I'll use (2,7), since (0,y) isn't helpful.

y = (1/2)x + b

7 = (1/2)*2 + b

7 = 1 + b

b = 6

The equation is y = (1/2)x + 6.

Now find (0,y) by using x = 0:

y = 6

The second point is (0,6)

============  

2. (4, 2) , (5, y) m = 4

y = mx + b

y = 4x + b

Use (4,2) and solve for b:

2 = 4*4 + b

b = -14

The equation is y = 4x - 14

Now find (5,y):

y = 4x - 14

y = 4*5 - 14

y = 20 - 14

y = 6

The second point is (5,6)

Se attached graph.

--

A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.Create an equation that models this situation.How many girls are in the class?

Answers

8 boys, x girls, 4 pencils each, total number of pencils 52.

The equation can be 4(8+x) = 52

So lets solve:

4(8+x)=52

Divide 4 on both sides:

8 + x=52 / 4

8 + x = 13

Subtract on both sides:

x = 13 - 8

x = 5

There are 5 girls in the class.

Now lets solve to double check:

4(8+5)=52

4(13)=52

52 = 52

Yes!

This means that there are 5 girls in the class.

I hope this helps! :)

Taking into account the definition of equation, there are 5 girls in the class.

Definition of equation

An equation is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.

In other words, an equation is the equality between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

Each equation has two members, and these are separated by using the equal sign (=), which in turn each of them are made up of terms.

The unknowns, that is, the values ​​to be found, are represented by letters.

The equality between the two algebraic expressions is only verified for certain values ​​of the unknown.

In this way, the solution of an equation means determining through certain procedures the value that satisfies it.

Equation for this situation

A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.

An equation that models this situation is:

4×(8+x)= 52

It is considered that:

When a value you are adding goes to another side of the equation by subtracting.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value you are multiplying goes to the other side of the equation, then it will go by dividing everything on the other side.

Solving in this case:

8 +x= 52÷4

8 +x= 13

x= 13 -8

x= 5

Finally, there are 5 girls in the class.

Learn more about equation:

https://brainly.com/question/296895

https://brainly.com/question/643184

Ping chooses four numbers.
The mode of these four numbers is 8, the range is 7 and the mean is 11.
Find Ping's four numbers.

Answers

Hello the answer is
8,8,15,13
I hope this helps

A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?

Answers

Answer:

3x-8

Step-by-step explanation:

math

Answer:

y=3x-8

Step-by-step explanation:

The slope of this is the rise over the run. Using the points, we can do (10-4)/(6-4) to get the slope. After solving this, we get 3 as the slope! Slope intercept form is in y=mx+b where m is the slope and b is the y-intercept.

So, y=3x+b

We can insert any of those coordinates into this equation and solve for b to get the y-intercept. If we insert (4,4), then we get 4=3(4)+b

: 4=12+b

:-8=b

Now that we have -8 as the y-intercept, we can insert that as b to get y=3x-8 as the equation in slope intercept form.

Rewrite 4/6 and 1/3 as a unite rate

Answers

Answer: B

Step-by-step explanation: Hope this helps :)

!!!WILL MARK BRAINLIEST IF ALL ARE ANWSERED!!! please provide short explanations

Answers

Answer:

20= 20

21. 10

22. 1.8

23. 4.4

24. 32

25. 7/9

If a=6, b=12,and c=4, then what does 2ab-c^2 equal?

Answer: 2(6)(12)-4^2 = 128

What is the prime factorization of 100,000?

Answer: 2^5× 5^5

Solve for x. 5.8 = 4x+0.2

Answer: x= 1.4

Find the area of this shape.

Answer: Area = 1.21

What is the lateral surface area of this rectangular prism?

Answer: 208 in^2

5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3

Step-by-step explanation:

The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.

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

5.8-0.2=4+0.2−0.2

5.6 = 4x

5.6/4  = 4x/4

x= 1.4

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

Square sides are equal..

A=a^2=1.1^2≈1.21

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

The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.

When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.

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

At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they would not attend. What is the fewest number of tables needed to seat all of the guests attending the party?

Answers

Answer:B

Step-by-step explanation:

Barbara wants to buy muffins. Which is the best deal? O a. 9 muffins for $7.92 O b. 4 muffins for $3.60 O c. 6 muffins for $5.34 O d. 8 muffins for $7.60 N​

Answers

Answer:

D

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

A number is max of 6

Answer: A number is a minimum of 6

Step-by-step explanation:

The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.

The base of the following pyramid is a square. If the volume of
the pyramid is 360 feet^3, what is the missing length? Round the
answer to the nearest hundredth.

Answers

Answer:

h = 12.52 ft

Step-by-step explanation:

volume of pyramid is 1/3*b*l. b is the base and l is the height we know that this equals 360 because it is given in the text. we also know b=8^2 since the base is a square so b=64. divide 360 by 1/3*64*pi to get l, l=5.3715. next we will use the pythagorean theorem to find h. first find the diagonal of the base: 8sqrt(2), now using the pythagorean theorem, we have h^2=5.3715^2 + (8sqrt(2))^2= 28.8528+128=156.8528. square root to get12.5241

A population of river otters has a population growth rate of 0.2 per year. If the population starts out with 50 individuals and there is no death and no migration, how many individuals would you expect after one year and after two years

Answers

Answer:

1 year= 60

2 year= 72

Step-by-step explanation:

1 year:

There are 50 otters and they grow at a rate of .2 so you multiply 50 by .2 to get 10. Now you just add 50 to 10 because 50 is how much it started as and 10 is how much were born. So the anwser for 1 year is 60.

2 years:

Now you have a start of 60 otters because it is the second year so you multiple 60 by .2 to get 12. Now you add 12 to 60 because the second year started with 60 and 12 were born. SO the anwser is 72.

I hope this helps!

Find the value of x in each case

Answers

Answer:

Step-by-step explanation:

∠AEB + ∠FEC = 180   {linear pair}

∠AEB = 180 - 4x

DE // AB , AE is transversal,

∠EAB = ∠DEA   {Alternate interior angles}

∠EAB = 2x

∠EBC = ∠AEB + ∠EAB  {Exterior angle property}

    6x  =  180 - 4x + 2x

    6x = 180 - 2x

Add 2x to both sides

6x + 2x = 180

8x = 180

x = 180/8

x = 22.5

1002828197382728173927937294729929382991divided by 182883929190.837283828281-737273728377273737272

Answers

Answer:

4.766141725565771e23

Step-by-step explanation: it is impossibel to explane so coculated it and i got 4.766141725565771e23. so there you go.

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Give me some bread.THE KING: (languidly) Who is that crying in the street for bread?THE SERVANT: (fanning) O king, it is a beggar.THE KING: Why does he cry for bread?THE SERVANT: O king, he cries for bread in order that he may fill his belly.THE KING: I do not like the sound of his voice. It annoys me very much. Send him away.THE SERVANT: (bowing) O king, he has been sent away.THE KING: If that is so, then why do I hear his voice?THE SERVANT: O king, he has been sent away many times, yet each time that he is sent away he returns again, crying louder than he did before.THE KING: He is very unwise to annoy me on such a warm day. He must be punished for his impudence. Use the lash on him.THE SERVANT: O king, it has been done.THE KING: Then bring out the spears.THE SERVANT: O king, the guards have already bloodied their swords many times driving him away from the palace gates. But it is of no avail.THE KING: Then bind him and gag him if necessary. If need be cut out his tongue. I do not like the sound of the fellow's voice. It annoys me very much.THE SERVANT: O king, thy orders were obeyed even yesterday.THE KING: (frowning) No. That cannot be. A beggar cannot cry for bread who has no tongue.THE SERVANT: Behold he canif he has grown another.THE KING: What! Why, men are not given more than one tongue in a lifetime. To have more than one tongue is treason.THE SERVANT: If it is treason to have more than one tongue, O king, then is this beggar surely guilty of treason?THE KING: (pompously) The punishment for treason is death. See to it that the fellow is slain. And do not fan me so languidly. I am very warm.THE SERVANT: (fanning more rapidly) Behold, O great and illustrious king, all thy commands were obeyed even yesterday.THE KING: How! Do not jest with thy king.THE SERVANT: If I jest, then there is truth in a jest. Even yesterday, O king, as I have told thee, the beggar which thou now hearest crying aloud in the street was slain by thy soldiers with a sword.THE KING: Do ghosts eat bread? Forsooth, men who have been slain with a sword do not go about in the streets crying for a piece of bread.THE SERVANT: Forsooth, they do if they are fashioned as this beggar.THE KING: Why, he is but a man. Surely he cannot have more than one life in a lifetime.THE SERVANT: Listen to a tale, O king, which happened yesterday.THE KING: I am listening.THE SERVANT: Thy soldiers smote this beggar for crying aloud in the streets for bread, but his wounds are already healed. They cut out his tongue, but he immediately grew another. They slew him, yet he is now alive.THE KING: Ah! That is a tale which I cannot understand at all.In The Beggar and the King, what does the king's reaction to the beggar reveal about the king?The king has no respect for human life. The king welcomes advice from his servants.The king is troubled by poverty and suffering.The king is unsure how to use his authority. Depletion time describes the length of time it takes to use up Which expression is equivalent to 2x + 2x + 2y + 2y?A) 2x2yB) 4 + xyC) 4x + 4yD) 8xy