Hannah wishes to find the vertex of the function x2 + 3x - 28 = 0 by completing the square. Which of the following equations may be used to identify the coordinates of the vertex?

A. (x + 1.2)2 = 30.25
B. (x + 2.25)2 = 30.5
C. (x + 2.5)2 = 30.75
D. (x + 2.75)2 = 32.5

Answers

Answer 1
x²+3x-28=0

(x+1.5)² - 1.5² - 28 = 0
(x+1.5)² - 25.75 = 0
(x+1.5)² = 25.75

Note: The answer is not listed on the option given. Maybe worth checking the if the original equation has been copied correctly.

Related Questions

What is the unit rate for 768.57 m 41.1 h? Enter your answer, as a decimal, in the box.

Answers

Use the cross multiplication method. 768.57 over 41.1= x/1                                     768.57 times 1=768.57    41.1 times x=41.1x       768.57/41.1=x      x=18.7            18.7mph


Final answer:

To find the unit rate, divide 768.57 meters by 41.1 hours resulting in a unit rate of 18.70 meters per hour.

Explanation:

The question asks for the unit rate of 768.57 meters over 41.1 hours. To calculate this, divide the distance by the time:

First, write the given ratio as a fraction. 768.57 m over 41.1 h.Second, divide 768.57 by 41.1 to find the unit rate in meters per hour. 768.57 m ÷ 41.1 h = 18.70 m/h (rounded to two decimal places as per the significant figures in the original distance).

The division, 768.57 m ÷ 41.1 h, yields a unit rate of 18.70 m/h (rounded to two decimal places to match the precision of the original distance). Hence, the unit rate for this scenario is 18.70 meters per hour.

Therefore, the unit rate is 18.70 meters per hour.

WILL GIVE BRAINLESS
factor the polynomial

Answers

Answer:

D

Step-by-step explanation:

This is factor by grouping. In factor by grouping, write a quadratic trinomil as 4 terms and group by parenthesis. Then factor by GCF in each pair. If the two parenthesis match, the factoring has worked and the factors will be the GCFs as one and the parenthesis as one other.

The factors here are the GCFs [tex]2x^2[/tex] and -3 as [tex](2x^2-3)[/tex] and the parenthesis (x-5).

To which set(s) does 12/3 belong? Choose all that apply. A.Counting/Natural Numbers B.Whole Numbers C.Integers D.Rational Numbers E.Irrational Numbers F.Real Numbers

Answers

I think it might be A and D but I'm not sure. Hope this helped, have a great day! :D
Final answer:

The number 12/3 belongs to the sets of Whole Numbers, Integers, and Rational Numbers.

Explanation:

The number 12/3 belongs to the following sets: Whole Numbers, Integers, and Rational Numbers.



A whole number is an integer that is greater than or equal to zero. Since 12/3 = 4, which is a positive integer, it belongs to the set of Whole Numbers.



An integer is any positive or negative whole number, including zero. Since 12/3 = 4, it is a positive integer and belongs to the set of Integers.



A rational number is any number that can be expressed as a fraction. Since 12/3 can be simplified to 4, it is a rational number.

Learn more about Sets and Number Systems here:

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In mom's car, the number of miles driven is proportinal to the number of gallons of gas used.

Answers

for number 1 the answer is 112

Find the points of intersection of the line x = 3 + 2t, y = 7 + 8t, z = −2 + t, that is, l(t) = (3 + 2t, 7 + 8t, −2 + t), with the coordinate planes.

Answers

This is not possible in two dimensions, you would need a 3 dimensional  graphing calculator.

Triangle CAT is translated using the rule (x,y)→(x−3, y+4) to create triangle C'A'T'. If a line segment is drawn from point C to point C' and from point A to point A', which statement would best describe the line segments drawn?

Answers

they are parallel and congruent

The answer is: Parallel and congruent.

Deshawn fuels 2 yachts and 6 barges. Each boat gets 126 gallons of fuel. To find how much fuel he needs for all the boats, deshawn first findsthe number of boats, then he uses an algorithm to multiply. Which are the three partial products deshawn could add to find the final product?

Answers

The total number of boats is given by 2 + 6 = 8

Thus, the amount of fuel he needs for all the boats is given by 8 x 126

Using place value system and extended number system, we have:

[tex]8\times126=8\times100+8\times20+8\times6 \\ \\ =800+160+48=1,008[/tex]

Therefore, the three partial products deshawn could add to find the final product are 800 + 160 + 48

The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?

Answers

the answer is 1/3 of 17.27

Answer:

23.55 feet

Step-by-step explanation:

Which operation is NOT closed for polynomials ?

Answers

Dividing two binomials will not always result in a polynomial. For instance, divide (x+2) over (x+3) and we won't get a polynomial. The result is known to be a rational expression but not a polynomial. So that's why division is not closed for polynomials.

Contrast that with addition, subtraction and multiplication. For any of those operations taking two polynomials and adding them, subtracting them, or multiplying them will lead to another polynomial. That's why these operations are closed for polynomials.

Answer: Choice B

The operation that is not closed for polynomial is [tex]\boxed{{\text{Dividing binomials}}}.[/tex] Option (B) is correct.

Further explanation:

Given:

The given options are as follows,

(A). Adding binomials

(B). Dividing binomials

(C). Subtracting binomials

(D). Multiplying binomials

Explanation:

Consider the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]

Add the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]

[tex]\begin{aligned}{\text{Add}} &= x + 1 + 2x + 4\\&= 3x + 5\\\end{aligned}[/tex]

The result after adding is a polynomial. Therefore, adding binomials is a closed for polynomials.

After dividing the two polynomials [tex]x + 1[/tex] and [tex]2x + 4[/tex] the result is a rational expression.

Therefore, dividing binomials operation is not closed for polynomials.

Subtract the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]

[tex]\begin{aligned}{\text{Subtract}}&= 2x + 4 - \left( {x + 1}\right)\\&=x + 3\\\end{aligned}[/tex]

The result after subtracting is a polynomial. Therefore, subtracting binomials is a closed for polynomials.

Multiplying the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]

[tex]\begin{aligned}{\text{Multiplying}}&= \left( {2x + 4} \right)\times \left( {x + 1} \right)\\&= 2{x^2} + 2x + 4x + 4\\&= 2{x^2} + 6x + 4\\\end{aligned}[/tex]

The result after subtracting is a polynomial. Therefore, multiplying binomials is a closed for polynomials.

The operation that is not closed for polynomial is [tex]\boxed{{\text{Dividing binomials}}}.[/tex] Option (B) is correct.

Option (A) is not correct as the adding binomials operation is closed for polynomials.

Option (B) is correct as the dividing binomials operation is not closed for polynomials.

Option (C) is not correct as the adding binomials operation is closed for polynomials.

Option (D) is not correct as the adding binomials operation is closed for polynomials.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomials

Keywords: polynomials, function, dividing, subtracting, adding, multiplying, binomials, closed for binomials.

A salesperson earns 17% commission on her total sales. If she sold $1530 last week, how much did she earn in commission ?

Answers

So, we know the numbers:

1530 is the total sales

17% or .17, (they're the same thing) is the amount of commission she earns off of total sales (1530).

So, to find out what she earns, we multiply the two numbers together.

1530 * .17 = $260.10

If you want me to clarify or explain more, please leave a comment. Good luck!

Barb had $112 in her savings account. Then deposited the same amount of money into her savings account in the next 4 months. Now she has $333 in her savings account. How much money,m, did Barb deposit each month?

Answers

• Subtract first: 333 - 112 = 221

• Divide second: 221 ÷ 4(months) = 55.25

• Equation: (333 - 112) ÷ 4

Barb deposited $55.25 each month. 

Hope this helps! :D

~PutarPotato
You don't mention interest, so I'll need to assume that interest calculations are not part of the picture here.  Barb now has $333; at the beginning she had $112.  That means that over four months she deposited $221. 

That comes to $221/4 per month, or $55.25.

A high school basketball team scores 85 points in a playoff game. The team leaders are Greg and Tremaine who scored a total of 38 points. If Tremaine scored 8 more points than Greg, how many points did Greg and Tremaine score individually?

Answers

greg scored 15 and Tremaine scored 23

Answer:

Total Points scored by  team leaders are Greg and Tremaine=38 points

Let Points scored by Greg =x points

Then , Points scored by Tremaine =(x+8) points

So, writing the condition in equality form

   x +x+8=38

2 x =38-8

2 x=30

Dividing both sides by ,2

x=15

Points scored by Greg =15 points

Then , Points scored by Tremaine =(15+8)=23 points

Solve. Evaluate roots and round to the nearest tenth. (Enter your answers as a comma-separated list. Simplify your answers completely.) 9x2 − 18 = 0

Answers

x = 1,

9(1) = 9,
9(2) = 18,
18 - 18 = 0. 

The sides of a triangle measure 64 mm, 3 CM, and 7 CM. What is the total leangth of the two longer sides?

Answers

7 cm = 70 mm so 64 mm+70mm= 134mm

A Factory processes 1,560 ounces of olive oil per hour. the oil is packaged into 24-ounces bottles. how many bottles does the factory fill in one hour

Answers

1560 oz / 24 oz bottles = 65 bottles are filled per hr

PLEASE HELP ASAP! IF YOU KNOW..OH AND FOLLOW AND LIKE M MUSICAL.LYS(APP) IF U HAVE ONE! (@badgalsoundshots)!!!!

The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle.
A) 18°, 31°, and 41°
B) 23°, 41°, and 56°
C) 33°, 61°, and 86°
D) 63°, 121°, and 176°

Answers

It's C



Good luck! ((((((:

Answer:

THE GOOD DAYS

Step-by-step explanation:

Every week, Mr. Kirkson uses 3 1/6 gallon of water to water every 1/3 square foot of his garden. How many gallons of water does Mr. Kirkson use per square foot to water his garden each week?

Answers

3 1/6 / 1/3 =

19/6 / 1/3 =

19/6 * 3/1 = 57/6 = 9 1/2 gallons per square foot

Answer:

Mr. Kirkson uses 9.60 gallons of water per square foot to water his garden each week.

Step-by-step explanation:

This problem can be solved by a simple rule of three.

We have that 1/3 = 0.33 square foot of his garden uses uses 3 1/6 = 19/6 = 3.167 gallons of water. How many are used per square foot? So:

1 foot - x gallons

0.33 foot - 3.167 gallons

[tex]0.33x = 3.167[/tex]

[tex]x = \frac{3.167}{0.33}[/tex]

[tex]x = 9.60[/tex]

Mr. Kirkson uses 9.60 gallons of water per square foot to water his garden each week.

A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers?
x | y
12 60
15 75




A. 36 calories
B. 108 calories
C. 720 calories
D. 900 calories

Answers

60/12 = 5

75/15 = 5

 there are 5 calories per cracker


180 * 5 = 900 calories in 180 crackers

 Answer is D

Make x/180, showing that there are 180 crackers with an unknown amount of calories. Cross multiply 60 and 180, which is 10,800. Divide 10,800 by 12, and you get 900.

What expression is equivalent to 3y - 21? A. 3(y - 21) , B. 3(3y - 21) , C. 3(3y - 7) , D. 3(y - 7) . Need help quickly! Thanks <3

Answers

It's D, 3(y-7) because that would be 3*y - 3*7 which is 3y-21. Hope this helped!
D. 3(y-7)= 3y-21 
  = 3y-21= 3y-21

A spherical balloon with radius r inches has volume defined by the function below. find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 3 inches. (give the answer in terms of π and r.) v(r) = 4/3 pi r^3

Answers

The function would be v (r+3)=4/3 π(r+3)^3.

The diameter of a circle is 8 inches. What is the area?
A. 8pi in ^2
B. 16pi in ^2
C. 32pi in ^2
D. 64pi in ^2

Answers

A = 1/4 * (pi) * d^2
A = 1/4 * (pi) * 8^2
A = 1/4 * (pi) * 64
A = 1/4(64) * (pi)
A = 64/4 * (pi)
A = 16 (pi) in^2
i believe your answer is
B. 16pi in ^2
i could be wrong though 
hope it helps!

Increasing W-4 allowances will ________ the net pay in your paycheck and ______ your total tax burden.

Answers

The answer is Increase and Decrease
W-4 allowance is deducted directly from the total of your salary by the employers.This means that the amount of money that you could take home will be reduced.
Since the employers now in the possession fo a certain percentage of your income, the tax burden is now no longer in your hands, which will reduce your amount of tax payment.

alex wants to buy the same number of stamps and envelopes dancer sold in packs of 14 and envelopes are sold and packs of 10 what is the lease number of each he could buy to have the same number of stamps and envelopes

Answers

5 packs of stamps and 7 packs of envelopes. There will be a total of 70 envelopes and stamps.

Final answer:

To have the same number of stamps and envelopes, Alex would have to find the Least Common Multiple of 14 and 10, which is 70. Therefore, he should buy 5 packs of each.

Explanation:

Alex wants to buy the same number of stamps and envelopes, but they come in different pack sizes: stamps in packs of 14 and envelopes in packs of 10.

To find the least number of each he could buy to have the same number of each, we need to find the Least Common Multiple (LCM) of 14 and 10. The LCM of 14 and 10 is 70.

So, Alex would need to buy 5 packs of envelopes (since 70 divided by 10 equals 7) and 5 packs of stamps (since 70 divided by 14 equals 5) to have the same number of stamps and envelopes, which is 70 of each.

PLEASE HELP WILL GIVE BRAINLIEST

Find the measure of SMK

A) 36°
B) 48°
C) 56°
D) 66°

Answers

The answer is 66 because for triangle ASM they give you two angle measures in order to get the third angle measure you need to add the 30 and 36 you will get 66 but this is not the answer because you are trying to find the angle measure for SMK and since it shows that it is a 180 degree angle you must subtract (180-66) in order to get the angle measure of SMK

The required measure of ∠SMK is 66° for the given figure.

What are supplementary angles?

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

The figure is given in the question, as shown.

According to the given figure, we have

In triangle ΔAMS,

∠ASM + ∠SAM + ∠AMS = 180° (sum of the interior angle)

36° + 30° + ∠AMS = 180°

∠AMS = 180° - 66°

∠AMS = 114°

∠SMK + ∠AMS =  180° (Supplementary angles)

∠SMK +  114° = 180°

∠SMK = 180° -  114°

∠SMK = 66°

Thus, the measure of ∠SMK is 66°.

Learn more about supplementary angles here:

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Name the property the equation illustrates.

8.2 + (–8.2) = 0

Answers

The Inverse Property of Addition

Answer:

The name of the property the equation illustrates is the Inverse Property of Addition.

Step-by-step explanation:

The Inverse Property of Addition says that if you add a number to the negative version of itself, the numbers will cancel out and the result will be 0. In other words, if you add 8.2 + (–8.2), the answer will always be 0.

What value of n makes the equation true?



0.7n+0.8n=2.1



n=3.60
n=3.15
n=1.40
n=0.60

Answers

n=1.40 :)

hope that helped
the value of n that will make the equation true is n=1.40

Find two numbers with a sum of 20 and a difference of 14.

Answers

the answers are 17 and 3

17 - 3 = 14
17 + 3 = 20

(5y - 1) + (-2y + 4)

Answers

(5y - 1) + (-2y + 4)

5y -5 -2y +4 =

3y -1 

5y-1 + -2y+4

 combine like terms

5y-2y = 3y

-1+4=3

 so you have 3y+3

The mechanic does 4 oil changes in 2 hours. How many oil changes can the mechanic do in 8 hours?

Answers

16 Oil changes.
4oil changes/2 hours= 2 oil changes per hour.

2 oil changes per hour * 8 hours = 16 oil changes.

Answer:it will be 2

Step-by-step explanation:because you multiply it23457

HELP ASAP 20 An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 6 times as much as the song download. You have a credit of $60. How many songs can you purchase after buying 7 videos?

Answers

EIGHTEEN SONGS AT A DOLLAR EACH. SEVEN VIDEOS AT SIX BUCKS EACH IS FORTY-TWO DOLLARS. together they equal $60


each song (s) download costs $ 1
each video (v) cost 6 times as much as a song.....so each video costs (6 * 1) = $ 6

u have a credit of $ 60 and u have already purchased 7 videos...

s + 6v = 60.....and v = 7 because he purchased 7 videos
s + 6(7) = 60
s + 42 = 60
s = 60 - 42
s = 18 <== he purchased 18 songs


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