please dont answer if you are not 100% sure.
Make sure you answer both parts and be detailed in your explanation.

a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.

b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.

Answers

Answer 1

Answer:

a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.

2x + 8 = 2(x + 4)

2x + 8 = 2(x) + 2(4)

2x + 8 = 2x +8

2x + 8 - 8 = 2x + 8 -8

2x = 2x

2x/2 = 2x/2

x = x

So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.

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

b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.

3x + 7 = 3(x + 7)

3x + 7 = 3(x) + 3(7)

3x + 7 = 3x + 21

3x + 7 - 7 = 3x + 21 - 7

3x = 3x + 14

3x/3 = 3x/3 +14

x = x + 14

However, this is false. x cannot be equal to itself plus 14.

x ≠ x + 14

The simplification of this equation is untrue, so there is no solution to it.

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

I hope this is helpful :) Good luck


Related Questions

Will give the brainliest answer and 20 points to anyone who can give a complete answer and not a scam link or a joke answer or begging for points (those 3 types of answers will be reported)

Courtney and Christy both leave the coffee shop at the same time, but in opposite directions. If Christy travels 9 mph faster than Courtney and after 7 hours they are 189 miles apart, how fast is each traveling?

Courtney is traveling ___________ mph.

Christy is traveling _____________ mph.

Answers

Answer:

Courtney is travelling at 9mph

Christy is travelling at 18mph

Step-by-step explanation:

Courtney's speed = x

Christy's speed = y

Christy travels 9 mph faster than Courtney: x+9=y

Distance = speed * time

Courtney's distance after 7 hours = 7x

Christy's distance after 7 hours = 7y

After 7 hours, they're 189 miles apart:

7x+7y=189

x+y=27

x+y=27

x+x+9=27

2x=18

x=9

y=x+9

y=9+9

y=18

Can you help me with this question please

Answers

Answer:

Triangle a was reflected across the x-axis to form triangle b

please help quick please

Answers

Answer:I need help with the same thing.

Step-by-step explanation:

Answer:

I want to say it is b but yeah not sure.

hope I am right

Please help! I need help ASAP and the question is in the picture. I’m giving 35 points! PLEASE HELP ASAP

Answers

Answer:

36x

Step-by-step explanation:

I believe this should be the answer. I hope it helps.

1. You are rolling a pair of dice. What's the probability of getting different numbers on both dice?

Answers

Answer:

5/6

Step-by-step explanation:

Total outcomes:

6*6 = 36

Outcomes with same numbers on both dice:

6

Outcomes with different numbers on both dice:

36 - 6 = 30

Probability of different numbers on both dice:

30/36 = 5/6

The diagram shows the floor plan of a hotel lobby. The carpet that she wants to buy for that floor costs $3 per square foot. How much will it cost to carpet the lobby?

Answers

Answer: $ 1 710

Step-by-step explanation:

Area of parallelogram = base x height = 27 x 20 = 540ft2

Area of triagne = 1/2 x base x height = 1/2 x 3 x 20 = 30ft2

total = 540 + 30 = 570ft2

570 ft2 x $3 = $1 710

Which triangle side lengths form a right triangle? Choose all that apply.

➪ 5, 6, 7
➪ 6, 8, 14
➪ 8, 15, 17
➪ 10, 12 15
➪ 15, 20, 15
➪ 16, 18, 20​

Answers

Your answer would be C (8,15,17) and E (15,20,15) or is it 25?

Step-by-step explanation:

:)

One coin is flipped six times. What is the probability of flipping two heads and four tails?

Answers

Answer:

1/6 x 1/6 = 1/36

1/36 is our probability of getting two heads and four tails.

Muhammad Ali Jinnah Story​

Answers

Answer:

Muhammad Ali was one of the greatest boxers in history, the first fighter to win the world heavyweight championship on three separate occasions. In addition, he was known for his social message of black pride and black resistance to white domination and for refusing induction into the U.S. Army during the Vietnam War.His quickness and mobility was a His quickness and mobility was a revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.

Lillian has 26 counters. Bill has 9 times as many counters as Lillian. How many counters does Bill have?

Answers

Answer:

234 counters

Step-by-step explanation:

If Lillian has 26 counters, and Bill has 9 times as many counters. You can do 26 x 9 which gives you the answer 234. Therefore, Bill has a total number of 234 counters.

The number of the counters Bill will have are 234.

What is the relation?

The connection between the two variables by making them one time to the other is called a relation.

If Lillian has 26 counters, and Bill has 9 times as many counters. You can do 26 x 9 which gives you the answer 234. Therefore, Bill has a total number of 234 counters.

Read more on relations follow

https://brainly.com/question/23220139

#SPJ2

Use 4 terms of the series to approximate :

Answers

[tex]from \: trapezium \: rule \\ n = 4 \\ h = \frac{(1 - ( - 5))}{4} = \frac{3}{2} \\ from \: the \: pic \: \\ approximate \: value \: is \: 5.409[/tex]

The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle

Answers

Answer:

The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle

31.416

Step-by-step explanation:

The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle

2 times Pi (3.14) times the radius (5)

Answer:

31.416

Step-by-step explanation:

2 times Pi (3.14) times the radius (5)

Ethan earns $41.25 in five hours. Oliver earns $30.00 in four hours. Fabianna's hourly rate is less than Ethan's, but more than Olver's. What is her hourly rate?



$7.35


$8.25



$7.75



$6.50

Answers

Answer:

7.75

Step-by-step explanation:

41.25 divided by 5 is 8.25

30 divided by 4 is 7.5

7.75 > 7.5 but 7.75 < 8.25

I hope this helps!

The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent.

Category Description
IS Information sharing
OC Opinions and complaints
RT Random thoughts
ME Me now (what I am doing now)
O Other

The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).

Twitter Type IS OC RT ME O
Observed count 50 61 64 102 73

Required:
Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.

Answers

Answer:

The null hypothesis is rejected.

Step-by-step explanation:

Assuming the proportions in each of the categories is the same which is 1/5 = 0.20.

H0: p1 = p2 = p3 = p4 = p5 = 0.2

Ha: H0 is not true.

The table is as below:

Twitter Type:   Observed Count      p        E=350*p       (O-E)^2/E

IS                                50                  0.2          70                 5.7143

OC                              61                   0.2          70                 1.1571

RT                               64                  0.2          70                 0.5143

ME                              102                 0.2          70               14.6285

O                                 73                  0.2          70                 0.1286

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

Total                                                                                     22.1428

The test statistic [tex]\chi^2[/tex] is 22.1421

The degree of freedom d is n-1=5-1 =4

The corresponding p-value from the chi-squared table is .000188.

As this value is less than the p-value for the H0 thus we reject the null hypothesis.

Find the 12th term of the geometric sequence 5, –25, 125, ...
HELP ASAP WILL NAME BRAINLEST

Answers

Step-by-step explanation:

[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]

You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary. (Answer $31.94)
The cost of shipping is 15% of the total cost. What is the total cost plus shipping?
$36.73

(Use the questions/answers above to help solve this below)
If the total cost plus shipping is greater than $35, then you receive a 10% discount off the original selling price. Do you qualify? If so, what is the new total cost plus shipping?

Answers

the answer is 33.06 because 36.73 is 33.06 with the 10% discount

Nancy uses her $10 allowance to buy a dress. She got $2 bills and 2quarters in change. what was the price of the dress???

Answers

Answer:cdjbskbbN

Step-by-step explanation:2 2/4

Answer:

$7.50

Step-by-step explanation:

10 - 2.50 = 7.50

Stock in Macy's costs $25.75 per share. Hector buys 200 shares of Macy's
through his broker who charges a commission of $25.75. How much did George
pay in total to purchase the stock?

Answers

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

Help out plsss ...... ​

Answers

Answer: 5 hours will take two days.

Step-by-step explanation:

People dont matter here. but what does is hours. 2 hrs a day = 5 days

3hrs a day = 4 days, 4 hrs a day = 3 days, 5hrs = 2 days.

When hrs a day go up 1 the amount of days is reduced at a rate of 1. It's about finding the rate of change. So our rate of change was +1 hour = -1 day.

2,5

3,4

4,3

5,2

Find the geometric mean between each pair of numbers 8 and 12

Answers

Step-by-step explanation:

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

Help me find the value of x plss

Answers

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

What do we see in triangle -- adj and hyp

cosine since it is SOH CAH TOA

cos(14)/1 =x/480

Answer = 465.74 the real rounding is 466

Every hour of training raises the salary $ _____.

Answers

Answer:

salary increases by $ 10 every hour

Find the value of y. It’s geometry hw! plz only answer if you know how to do this. thank you

Answers

Answer:

48

Step-by-step explanation:

Imagine that all of the other angles within the circle are gone except for the angle "y".

Now kindly look at the image.

We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.

The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.

So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )

so y = [tex]\frac{96}{2}[/tex]

96/2=48

Hence the value of y is 48

If
you had 2 angles that equal 180 degrees and you was given a angle of
55 degrees What degree is the missing angle? *

Answers

Answer:

125 degrees for 540 degrees total

Step-by-step explanation:

Answer:

125° is the missing angle.

Step-by-step explanation:

Sum of all angles in a quadrilateral is 360°.

180°+55°+X°= 360°

235° + x = 360°

x = 360°-235°= 125°

x = 125°

What is the average rate of change for f(x) = 2x - 4 over the interval 2 Sxs 6?
A)
8
B)
10
C)
15
D)
18

Answers

Answer:

8 i think i hope it helps

good night

I’ll give points + brainalist (:

Answers

Answer:

The right answer to the question is b

Answer:

B [tex]x \leq 1[/tex]

Step-by-step explanation:

Isolate the x.

[tex]-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1[/tex]

The [tex]\geq[/tex] sign flipped to [tex]\leq[/tex] , because you're dividing with a negative number.

Heavy general purpose trucks are often used in pipeline operations. They are built to hold up when carrying or pulling substantial loads, and yet still be suitable for regular highway use. A new truck with appropriate options is purchased for $47,000. It is estimated to have a useful life of 5 years and a salvage value of $2,900 at that time.

Required:
Develop a table showing the depreciation.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price=  $47,000  

Salvage value= $2,900  

Useful life= 5 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (47,000 - 2,900) / 5= $8,820

The accumulated depreciation is calculated as follow:

Accumulated depreciation= years of depreciation*annual depreciation

For year 4:

Accumulated depreciation= 8,820*4= $35,280

Finally, the book value is:

Book value= purchase price - accumulated depreciation

Year Annual depreciation Accumulated depreciation Book value

1                 8820                                8820                  38180

2                 8820                                17640                  29360

3                 8820                                26460                  20540

4                 8820                                      35280                 11720

5                 8820                                 44100                    2900

I've been asking since yesterday :(

Candace is designing a rectangular garden. The garden's diagonal must be 37.7 feet, and the ratio between the garden's base and height must be 12:5. Find the length of the garden's base and height. The garden's base is feet and its height is​

Answers

Answer:

Step-by-step explanation:

let the base=12x

and height=5x

(12x)²+(5x)²=37.7²

144x²+25x²=37.7²

169x²=37.7²

(13x)²=37.7²

13x=37.7

x=37.7/13=2.9

base=12×2.9=34.8 ft

height=5×2.9=14.5 ft

Which statement about the linear factors and zeros of a quadratic function is always
true?

A. The constants of the linear factors are the opposite of the function's zeros.

B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.

C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.

D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.

Answers

The Answer is B: A function’s zeros can be determined by setting each linear factor equal to 0 and solving.

Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))

Answers

Answer:

3

Step-by-step explanation:

36-27 = 9

[tex]\sqrt{9} = 3[/tex]

Other Questions
PLS ANSWERThe unit discusses the word holistic in relation to childbirth. Can you think of any other areas of health and wellness that might have holistic approaches? Why might someone want to try a holistic approach? Americas space program does not get the attention it once did. It certainly doesnt generate the same excitement. From the 1950s through the 1970s, astronauts were national heroes. Children dreamed of traveling through space. Adults looked to the moon with the sense of national pride. Those days couldand shouldreturn again.If average Americans search their brain, it is not hard to find arguments against space travel. It costs money. Its dangerous. We have enough problems on our own planet. If the same Americans search their hearts, however, the results are different. Deep within us, we all have similar desires. Space exploration fulfills all these desires.Lets begin with curiosity. We all have it. From the time we are small children we long to know what is in the next room, down the street, or in the next town. We are nomads, wanting to explore. We are detectives, trying to solve a mystery. We are students of life, seeking answers. The space program gives us a chance to be all those things and more. Even if we dont travel ourselves, the excitement of new discoveries would again feed our thirst for something new.Another benefit of returning to space is the inspiration it provides. In the early days of space travel, America had a goal. We wanted to reach space safely and quickly. The country responded spectacularly. Teamwork and creativity reached all-time highs. Students delved deeper into science and math hoping to contribute. Heroes stepped up to bravely accept challenges. We were attempting the impossible and determined to succeed. Think of the amazing things Americans would accomplish if that inspiration returned.Perhaps the largest thing lost with a shrinking space program is perspective. Exploring space reminds us how small and fragile our planet truly is. It encourages collaboration with other countries which helps cultural differences disappear. It can reveal the effects of abusing natural resources. Looking at our Earth from a great distance gives us a unique view of our world and the effect we have upon it.Plans for Americas space program should clearly be revisited. Exploration of our solar system should continue not for science or power or money, but for the benefit of mankind. It gives us an outlet for our curiosity. It provides inspiration for our souls. It offers a perspective to help understand our place in the universe. The benefits are as vast as space itself.What is the tone?WARNING: GOOFING OFF AND SAYING RANDOM THINGS TO GET POINTS IS NOT ALLOWED. THOSE PEOPLE WILL BE REPORTED.A tone is for ex. 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