If Nadia is solving x^2 + 8x =24 by completing the square, what number should she add to
both sides?

Answers

Answer 1

Answer:

Subtract 24 from both sides.

Step-by-step explanation:

x2+8x=24

Step 1: Subtract 24 from both sides.

x2+8x−24=24−24

x2+8x−24=0

For this equation: a=1, b=8, c=-24

1x2+8x+−24=0

Step 2: Use quadratic formula with a=1, b=8, c=-24.

x=

−b±√b2−4ac

2a

x=

−(8)±√(8)2−4(1)(−24)

2(1)

x=

−8±√160

2

x=−4+2√10 or x=−4−2√10

Answer:

x=−4+2√10 or x=−4−2√10

Answer 2

Answer:

+ 16

Step-by-step explanation:

x² + 8x = 24

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 24 + 16


Related Questions

Find the area of the polygon
pls help

Answers

area: 36 units²

area of parallelogram = base * height

[tex]\hookrightarrow \sf 9 \ * \ 4[/tex]

[tex]\hookrightarrow \sf 36 \ units^2[/tex]

Base=9Height=4

Area:-

Base×Height9(4)36units^2

Rational Expressions Multiplying I need to know how to do it

Answers

Answer:

  (x -3)/4

Step-by-step explanation:

You multiply rational expressions the same way you multiply fractions. The numerator is the product of the numerators; the denominator is the product of the denominators. Same factors in numerator and denominator cancel to reduce the product to lowest terms.

  [tex]\dfrac{3(x-3)}{3}\cdot\dfrac{x-7}{4(x-7}=\dfrac{x-3}{1}\cdot\dfrac{1}{4}=\boxed{\dfrac{x-3}{4}}[/tex]

We cancelled the factors of 3 from the first expression, and the factors of (x-7) from the second expression. The final product is the product of the reduced rational expressions.

coffe beans are packaged in 50 kg cartons with an allowable error of 0.7 percent what is the acceptable weight range for a carton of coffee beans?​

Answers

Answer:

0.35

Step-by-step explanation:

you mutiply 50 times 0.7%

Answer:

It is 50.35 kg

Step-by-step explanation:

50 x 0.007 = 0.35 (I used 0.007 because you still have to move the decimal point two places even if it is already a decimal)

0.35 + 50 = 50.35 kg

I hope my answer helps :)

For rhis problem you will have to simplify correctly .

Answers

Answer:

Step-by-step explanation:

Answer:

The mistake was -9, the answer is 1x -6

Step-by-step explanation:

3 (x - 6) + (4x + 12) - 6x =

3x - 18 + 4x + 12 - 6x = (use distributive property for this step)

3x + 4x - 6x - 18 + 12 = (rearrange so like terms are easy to find)

1x - 6 (use addition and subtraction to get the final answer)

I hope this helps you :)

help me please on this question

Answers

Answer: 50

Step-by-step explanation:

equation is 5x-40+150=360

combine like terms = 5x+110=360
Subtract 110 from both sides = 5x=250
x=50

Evaluate x+y
when x=−4/5
and y=1/3
. Write your answer as a fraction or mixed number in simplest form.

Answers

Answer:

4/5+1/3=1 2/15

Step-by-step explanation:

This is the answer and the process of the problem

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = mx +  b is slope interform but you didn't supply a problem to put into it

A scientist who studies sleep has developed a new technique to help people sleep each night. He
is conducting a study of 100 people and wants to determine if there is a significant difference in
people's amount of sleep before using the technique compared to after using the technique.
Which of the following describes the scientist's null and alternative hypotheses?
O null hypothesis: Hp = 0; alternative hypothesis: 4p=0
Onull hypothesis: 4y= 0; alternative hypothesis: 4p = 0
O null hypothesis: 44- = 0; alternative hypothesis: 4-430
O null hypothesis: 4-4370; alternative hypothesis: 4-12 = 0

Answers

Considering the situation described, the scientist's null and alternative hypothesis are described by:

Null hypothesis [tex]H_0: \mu = 0[/tex]; Alternative hypothesis [tex]H_1: \mu \neq 0[/tex].

What are the hypothesis tested?

At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by [tex]\mu[/tex] is of 0, hence:

[tex]H_0: \mu = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, hence:

[tex]H_1: \mu \neq 0[/tex]

More can be learned about an hypothesis test at https://brainly.com/question/26454209

1. 4x + 5
2.8x - 3
3. 1/2x - 4
4. 0.5x +3.5

Answers

4x + 5: m = 4

8x - 3: m = 8

1/2x - 4 = x/2 = -4

0.5x + 3.5: m = 0.5

can someone pls solve 8 < 4r < 12

Answers

8 < 4r < 12

Solve for r by dividing all terms by 4:

2 < r < 3

help, please see picture, and explain: no decimals please,​

Answers

[tex] - \sqrt{72} = - \sqrt{2 {}^{3} \times 3 {}^{2} } = - 2 \times 3 \sqrt{2} = - 6 \sqrt{2} [/tex]

[tex] - 4 \sqrt{8} = - 4 \sqrt{2 {}^{3} } = - 4 \times 2 \sqrt{2} = - 8 \sqrt{2} [/tex]

[tex] - \sqrt{72} - 4 \sqrt{8} = - 6 \sqrt{2} - 8 \sqrt{2} = - 14 \sqrt{2} [/tex]

A banker earns a $75,000 annual salary, a 2.35% commission on any approved loans for the bank's business customers, and a fee of $3.75 for each application processed. If the banker has a total of $2.8 million in approved business loans and processes 2,750 applications this year, what are the banker's earnings rounded to the nearest dollar?

Answers

Answer:

$15,1113

Step-by-step explanation:

Given that the banker base annual salary  $75,000

1. a 2.35% commission on $2.8 million is

=(2.35/100)*2,800,000

=0.0235*2,800,000

=$65800

2.  a fee of $3.75 for each 2,750 applications processed

     =3.75*2,750

     =$10312.5

the banker's earning is $75,000+$65800+$10312.5

=$151112.5

to the nearest dollar

=$15,1113

Help help help help help help please

Answers

Answer:

1.   21z² - 35nz + 56n²

2.   18y + 8

3.   12z³ - 24z² + 28z

4.   56c³ + 14c²g + 21cg²

5.   21p⁵ + 42p⁴- 63p³

6.   35g⁴ + 14g³ + 21g²

7.   54c² - 27cz

8.   24n² + 15n + 18

9.   40k⁴ + 16k³p + 24k²p²

10.   45z⁵ - 36z⁴h - 63z³h²

Plz mark brainliest :)

What is the overlap of Team 1 and Team 2? high medium low none.

Answers

The overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.

What is dot plot?

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axes. The dot plot is also known as the strip plot.

Figure of the dot plot of the team 1 and team 2 is attached below. The overlap of the team 1 and the team 2 has to be found out.

The overlaps mean in the dot plot is height, which both the graphs of dot plot have in same.

In the attached image, it seen that the overlap of the team one and team 2 is higher.

Hence, the overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.

Learn more about the dot plot here;

https://brainly.com/question/15853311

What is 1 1/5 as a decimal

Answers

Answer:

1.2

Step-by-step explanation:

1/5 = 0.20

1.2

Hope this helped!

Answer:

Step-by-step explanation:

2.2

A rectangular bathroom mirror is 2 feet tall and 10 feet wide. What is its perimeter?

Answers

The perimeter is the all the side's lengths added up together

 -- so:   Perimeter = 2 + 10 + 2 + 10 = 24 feet

Hope that heped!

PLZ HELP!!!

A bag has 10 marbles-3 red, t blue, and 2 violet. One marble is drawn and then replaced, and this action is repeated 10 times. The results are recorded in the table.

Which of the given statements is true?

A.) The experimental probability of drawing blue is 1/2
B.) The experimental probability of drawing red is 1
C.) The experimental probability of drawing red is 1/10
D.) The experimental probability of drawing violet is 0​

Answers

A because there are more blue than red and violet.

The experimental probability of drawing blue is 1/2. Then, option A is correct.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

It is given that a bag has 10 marbles-3 red, t blue, and 2 violets. The blue marbles will be 5. One marble is drawn and then replaced, and this action is repeated 10 times.

The probability is calculated as:-

P = 5 / 10 = 1 / 2

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Write the converse of the following statement and determine its truth value.
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

Answers

Answer:

1) The convers of the conditional statement is;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) The convers of the conditional statement is true

Step-by-step explanation:

1) The given statement is presented as follows;

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

The hypothesis = A class has 3 left-handed people and 24 right-handed people = p

The conclusion = The ratio of lefties to righties is 1:8 = q

We have;

If p, then q which is p → q

The converse statement = If q, then p which is q → p

Then the converse of the conditional statement can be written as follows;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.

name a pair of angles that are a linear pair.​

Answers

Answer:

D: PUR and SUR

Step-by-step explanation:

A linear par is made of two angle's whoes measure add to 180, or it forms a line. PUR and SUR form a line so therefore they are a linear pair.

The answer is D) <PUR and <SUR

A linear pair is when a pair of angles add up to 180 degrees. The angles must share 2 points and should be next to each other. They are adjacent angles  formed by two intersecting lines.

4. You put $420 into a savings account with an interest rate of 8% compounded annually which earns $33.60 over a period of time. How long was the period of time?


(how to find compound interest time)​

Answers

Answer: 1 year

Step-by-step explanation:

[tex]\mathrm{Compound \ Interest \ Formula}\\$$\begin{aligned}&A=p\left(1+\frac{r}{n}\right)^{n t} \\&A=420+33.60=\$ 453.60 \\&p=\$ 420 \\&r=8 \% \\&n=1\end{aligned}$$[/tex]

[tex]\mathrm{Solving \ for \ t:}[/tex]

[tex]$$\begin{gathered}453.60=420\left(1+\frac{8}{100}\right)^{1 . t} \\453.60=420\left(\frac{108}{100}\right)^{t} \\\frac{453.60}{420}=\left(\frac{108}{100}\right)^{t} \\1.08=(1.08)^{t}\end{gathered}[/tex]

[tex]\mathrm{Taking \ log \ of \ both \ sides}\\\log 1.08=\log (1.08)^{t}$ \\\log 1.28=t \log (1.08)$ \\1=t$ \\$t=1$\\[/tex]

Therefore, the period of time taken to earn $33.60 was 1 year

PLEASE PLEASE HELP


Given <triangle> ABC is congruent to <triangle> XYZ, and m< A is 50°, m<Z is 40°, what is the m<B

90°
80°
70°
60°​

Answers

Answer:

A triangle measures 180° , so you do 50°+40° =90° then you do 180°- 90° = 90° , Therefore your answer is A. Hope this helps bye:)

Answer:

90

180-40-50=90

the triangle have 180 angle so 180 minus with 40 and 50 and you will get the m<B angle

In the function f(3) = 9 the input is

Answers

Answer:

Your answer is 3

Step-by-step explanation:

3 x 3 = 9

Answer:

The answer is 3 like so take 9÷3=3 or 3x3=9.

What is the total price of a $5 book with a 10% sales tax?

Answers

$5.50 or 5 dollars and 50 cents

The sides of a river are parallel. Elizabeth is located at point E, and Jacoby is located at point J. They know that they are the same distance from the ends of the bridge B1B2. Kevin is located at point K. Which of the following can be used to prove that the two triangles are congruent and that Kevin is standing at the middle of the bridge? Select all that apply.

Answers

Answer: ASA, AAS

Step-by-step explanation:

A pet store is advertising that everything is 20% off the entire weekend. You also have a coupon for an additional 10% off your entire purchase after any store discounts. If the total bill is $56 before any discounts are applied, what will you pay after the discounts are applied?

What is the amount of the 20% discount? $______

What is the bill after the 20% discount? $______

What is the amount of the additional discount of 10%? $_______

What is the final cost after the additional discount? $_______

Answers

Answer:

The 20% discount is $11.2, the total after the discount is $44.8, the 10% discount is $4.48, the total after that discount is $40.32

sioban scores 4 out of 10 marks in a science test

what is her score as a percentage

Answers

Answer:

40%

Step-by-step explanation:

4/10 = 40/100 = 40%

If you need further explanation, let me know!

- profparis

PLEASE ANSWER! WILL MARK BRAINLIEST!!


A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.

Answers

Answer:

|(x/4) - 10| or (x/4) - 10

hope this helps!!!

Answer:

Hope this help you!!

Have a good day

What percent of 72 is 9?

18%

114%

1212%

125%

Answers

Answer:

125%

Step-by-step explanation:

i have an answer of that

9/72 x 100%
= 12.5 %

Read the sentence. The person on trial for theft was found guilty by a jury, and once a jury announces a verdict, that decision is final. Which word in the sentence is the best clue to defining the word verdict?
A. theft
B. guilty
C. jury
D. decision

Answers

Answer:

The answer that yoy are looking for is D

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

D

Step-by-step explanation:

I did the quiz on edge

solve pls brainliest

Answers

I believe the answer is 21/32

Other Questions
What number is 40% of 307Input only whole numbers. When the Milky Way was in its earliest ages, hydrogen, helium and other common elements were the only onesaroundTrueFalsePLEASE HELP Gavin Jones's friend is planning to invest $ I million in a rock concert to be held I year from noW The friend figures that he will obtain $3 million revenue from his $1 million investment-unless, my goodness, it rains If it rains, he will lose his entire investment There is a 50% chance that it will rain the day of the concert Gavin suggests that he buy rain insurance He can buy one unit of insurance for $ 50, and this unit pays $1 if it rains and nothing if it does not He may pUlchase as many units llS he wishes. up to $3 millionRequired:a. What is the expected rate of return on his investment if he buys units of insurance? b. What number of units will minimize the variance of his return? What is this minimunm value? And what is the corresponding expected rate of return? The Doak Company has projected the following quarterly sales amounts for the coming year: Q1 $3,900Q2 $4,700Q3 $4,300Q4 $3,600 Accounts receivable at the beginning of the year are $1,700. Required:a. The company has a 45-day collection period. Calculate cash collections in each of the four quarters. b. The company has a 60-day collection period. Calculate cash collections in each of the four quarters. c. The company has a 30-day collection period. Calculate cash collections in each of the four quarters. Read the following paragraphs carefully to see if they create a mood. My name is Cory. I don't really know why I watched hidden under the table. I heard the hushed tones at the door as they asked for my mother. I couldn't choke back the tears as I caught the words "missing in action." No, I thought, not Dad. Missing in action is just a nice way of saying he's dead. He'll never come back, I thought. I wept openly. And yet, no one seemed to notice me. 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