If (x-3) ²=16, find the positive value of x.​

Answers

Answer 1

7

Step-by-step explanation:

(x - 3)² = 16

x² - 6x + 9 = 16

x² - 6x + 9 - 16 = 0

x² - 6x - 7 = 0

(x - 7)(x + 1)

x = 7 \/ x = -1

so positive value of x = 7


Related Questions

Help!!!! I need this due my 9:30

Answers

D! 33.85 is 15 less than 34 and 16.29 is 29 more than 16

Answer:

D. Subtract 15 cents and add 29 cents

Step-by-step explanation:

He should subtract 15 cents and add 29 cents. This is because at 33.85 we estimated to 34 dollars which was 15 cents higher, so we must subtract by 15 to get to the exact cost. We also need to add 29 cents since we rounded down from 16.29 to 16.

this is a calculation, please answer me

Answers

Answer:

0is the answer just guessing

In warmer climates, approximate temperature predictions can be made by counting the number of chirps of a cricket during a minute. The Fahrenheit temperature
decreased by forty is equivalent to one-third of the number of cricket chirps.
(a) Write an equation for this relationship.
(b) Approximately how many chirps per minute should be recorded if the temperature is 90°F?
(c) If a person recorded 72 cricket chirps in a minute, what would be the Fahrenheit temperature according to this formula?
(a) Let F represent the Fahreheit temperature and let x represent the number of chirps. The equation for this relationship is
(Use integers or fractions for any numbers in the expression.)

Answers

The relationship between temperature and the number of chirps based on the information given goes thus :

150 chips 64°F[tex] f - 40 = \frac{x}{3}[/tex]

Let :

Temperature = f ; number of cricket chirps = n[tex] f - 40 = \frac{n}{3}[/tex]

1.) Chirps per minute if temperature is 90°F

Put f = 40°F into the equation :

[tex] 90 - 40 = \frac{n}{3}[/tex]

[tex] 50 = \frac{n}{3}[/tex]

[tex] n = 50 \times 3 = 150 chirps [/tex]

2.) Fahrenheit temperature if n = 72

[tex] f - 40 = \frac{72}{3}[/tex]

Cross multiply

[tex] 3(f - 40) = 72[/tex]

[tex] 3f - 120 = 72[/tex]

[tex] 3f = 72 + 120 [/tex]

[tex] 3f = 192[/tex]

[tex] f = \frac{192}{3} = 64 [/tex]

3.)

The equation for the relationship with f = Fahrenheit temperature and x = number of chirps

[tex] f - 40 = \frac{x}{3}[/tex]

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A representative from the bank speaks with you about opening a savings product. You would be guaranteed at least a 3.5% return for the next 10 years when you agree to add $25.00 each month for the entire time. Given this information and that you meet the minimum monthly contribution requirement, what would be your total accumulated value at the end of the 10 years?

Answers

Answer:

a 3.5 % return is .035/12 - .002917 / mo

10 years is 120 mos.

This is basically an annuity payment - after 10  years 1$, deposited monthly, would be worth (similar to house mortgage, etc.)

N = (1 - (1 + i)^-120) / i  = 241.73

Total amount = 25 * 241.73 = 6043

Note 120 payments at $25 = 3000

I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for w :

[tex] \dfrac{2w + 4}{2} = 6 - w[/tex]

[tex]2w + 4 = 2( 6- w)[/tex]

[tex]2w + 4 = 12 - 2w[/tex]

[tex]2 w+ 2w = 12 - 4[/tex]

[tex]4w = 8[/tex]

[tex]w = 8 \div 4[/tex]

[tex]w = 2[/tex]

hence , value of w = 2 ~

Answer:

Choice d. w = 2 is correct

Step-by-step explanation:

[tex] \\ \frac{2w + 4}{2} = 6 - w[/tex]

[tex] \\ \mapsto2w + 4 = 2(6 - w)[/tex]

[tex] \\ \mapsto2w + 4 = 12 - 2w[/tex]

[tex] \\ \mapsto2w + 2w = 12 - 4[/tex]

[tex] \\ \mapsto4w = 8[/tex]

[tex] \\ \mapsto \: w = \frac{8}{4} [/tex]

[tex] \\ \mapsto \: w = 2[/tex]

Thus, the value of w is 2

¿Cuáles de estas estrategias eliminan una variable en el sistema de ecuaciones?

−7x+2y=5
3x−5y=−5

a) Suma las ecuaciones.
b) Multiplica por 555 la primera ecuación, multiplica por 222 la segunda ecuación, luego suma las ecuaciones.
c) Multiplica por 333 la primera ecuación, multiplica por 777 la segunda ecuación, luego suma las ecuaciones.

Answers

Answer:

Multiplica la primera equation por 5 y la segunda por 2, sumas y eliminas las y.

10y - 10y = 0

También, multiplicas la primera equation por 3 y la segunda por 7, sumas y eliminas las x

-21x + 21x = 0

Step-by-step explanation:

What is the value of 25^2

Answers

Answer:

625

Step-by-step explanation:

explain why 120% cannot be the probability of some event?

Answers

Answer:

A probability must be between zero and one.

Step-by-step explanation:

Probability is the chance of something occuring. 120% is not realistic in real world examples, because the probability standard ranges from "definitely will not happen" to "definitely will happen", meaning a 0% chance of it occurring to 100% chance of it occurring. The only time 100.0%+ will be applicable are typically in simulations, which allows for such to counterbalance any negatives percentages that is allocated to the target. However, in the real world, it will never go over 100%.

A proportional relationship is shown in the table below: What is the slope of the line that represents this relationship?​

Answers

Answer:

Step-by-step explanation: The answer is: 2

solve the equation show each step
-36 = -3x -4 -5x

Answers

i believe that would be the answer. im sorry if its wrong-

Answer:

4 = x

Step-by-step explanation:

To solve for the value of x

-36 = -3x -4 -5x

Transpose and solve

-36 = -8x -4

-36 + 4 = -8x

-32 = -8x

-32 ÷ -8 =x

Both the negative signs will be cancelled

4 = x


A store owner sold 4 paint brushes for $12.00 and 8 pens for $3 20. What is the difference between the unit price of a paint brush and the unit price of a pen? 50 POINTS FOR THIS

Answers

Answer:

$2.6

Step-by-step explanation:

12/4=3 that means each paintbrush cost $3

3.20/8=0.4 that means each pen cost $0.40

3-0.4=2.6

$12/4=3 so each paint brush costs $3. $3.20/8=.40 so each pen costs $0.40. The difference between the unit price of a paint brush and unit price of pen gives you the equation 3-.40= $2.6

During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $60 plus $20 per hour (including taxes). The total charge comes to $100. which equation can be used to calculate the number of hours, X, that Dalyn rents the boat?

Answers

Answer:

6 hours

Step-by-step explanation:

(100 - 40) ÷ 10 = Amount of Hours

= 6 Hours.

Hope this helps.


Please help me anyone please ????):

Answers

Answer:

Step-by-step explanation:

man the formula is right there!

two points: (3,2) and (7,5)

[tex]y_2=5\\y_1=2\\x_2=7\\x_1=3\\slope=\frac{5-2}{7-3}=.75[/tex]

4(3M - 2) + 2(2M - 1) when M = 5

Answers

Answer:

70

Step-by-step explanation:

4(3m-2)+2(2m-1)

4(3×5-2)+2(2×5-1)

4×13+2×9

52+2×9

52+18

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

2, 5, 9, 10

Step-by-step explanation:

add 2 to the x value to find the f(x) value

Alicia is 7 years old. She is 1 year older than
one-eighth the age of her father. How old is
Alicia's father?

Answers

alicia's father is 48 years old

6*8= 48

IF a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20, The cost to play is $5. What is the expectation of this game?

Answers

The expectation is to lose $3.06.

The gambler can expect to lose $3.06 per play on average.

what is Sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given:

The sample space for rolling two 6-sided dice, there are 36 possible outcomes

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

The possibility of getting sum of three is (1,2) and (2,1)

and, The possibility of getting sum of ten is (4,6), (5,5), and (6,4)

Thus, the expected winning on a role is

= (2/36) x 20 + (3/36) x 10

= $1.94

If the gambler paid $5 which means

= -$5 +$1.94

= -3.06

Hence, The gambler can expect to lose $3.06 per play on average.

Learn more about sample space here:

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Line v passes through points (4, 4) and (9, 8). Line w is parallel to line v. What is the slope of line w?

Answers

Answer:

slopeᵥᵥ = 4/5

Step-by-step explanation:

mᵥ = (8-4)/(9-4) = 4/5

The lines 5x+2y=14 and y=-5x+9 are?
A: Parallel
B: Perpendicular
C: Neither
Please Help lol

Answers

Answer: neither

Step-by-step explanation:

2y=-5x+14/2

y = -5/2 x + 7

m=-5/2

y=-5x+9

m=-5

5x+2y=14
y=-5x+9
So it would be b perpendicular

solve pls brainliest

Answers

Nothing here to solve

This is balanced. True or false?

Answers

Answer:

False

Step-by-step explanation:

a=3 b=-2 c=5 d=-4 e=-6

just replace the variables with the numbers.

ex.

e+4ab

-6+4(3)(-2)

-6+12(-2)

-6-24

-30

[tex] \sqrt{27 + {3}^{2} } + 5 \\ \sqrt{27 + 9 + 5 } \\ \sqrt{41 } \\ 6.4[/tex]

is it normal to forget things almost 4 months after a concussion?

Answers

Answer:

Yes I've had that too

Step-by-step explanation:

I had mine for about 5-6 months

Answer:

Yes, a concussion can cause long-term memory loss and recurring short-term memory loss, even weeks, months, or years after the head trauma. Usually, this is known as a symptom of post-concussion syndrome

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

[tex]slop = \frac{y2 - y1}{x2 - x1} \\ considertwo \: points \: \: 5 \: 17and \: 6 \: 18 \\ y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1) \\ y - 17 = \frac{18 - 17}{6 - 5} (x - 5) \\ y - 17 = x - 5 \\ y = x - 5 + 17 = x + 12 \\ good \: luck[/tex]

Answer:

f(x)=x+12

Step-by-step explanation:

To check if it is right:

plug in the numbers to the equation

f(x)=5+12=17

f(x)=6+12=18

25/100 simplified ? and if there’s any work pls show it

Answers

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

25/100

divide both sides with 25

[tex] \frac{25 \div 25 }{100 \div 25} [/tex]

simplify

= 1/4

Answer:

1/4

Step-by-step explanation:

Find HCD (Highest Common Factor) for both numerator and denominator.

The HCF for 25 and 100 is 25

Now divide the numerator and denominator by 25  

(25/25) / (100/25)

1/4

And Viola, you got your simplified form!

A dress that costs $63.99 is on sale for 1/3 off. What is the sale price of the dress? Round your answer to the nearest cent.

Answers

21.33 is 1/3 of 63.99

25. Abby won 57 points on her first turn in a game. She won 37 more
points on her second turn and then lost 19 points on her third turn.
She won some more points on her fourth turn. Now Abby has 100
points. How many points did she win on her fourth turn? Write an
equation using a variable for the unknown. Explain your thinking to a
friend.

Answers

Answer:

25 points

Step-by-step explanation:

57 + 37 - 19 + x = 100

94 - 19 + x = 100

75 + x = 100

x = 25

She won 25 points on her 4th turn.

What is 6 3/10 divided by 5 1/4

Answers

Answer:

6 3/10 / 5 1/4 = 1.2

Step-by-step explanation:

Answer:

1 2/10, 12/10, or 1.2

Step-by-step explanation:

6 3/10 as a fraction is 63/10

5 1/4 as a fraction is 21/4

63/10 ÷ 21/4

=63/10 • 21/4

=1 2/10

identify the solutions of the inequality 5 ≤ s − 6

Answers

Answer:

s≥11

Step-by-step explanation:

5 ≤ s -6

=5 + 6 ≤ s

=11 ≤ s or s≥11

The solution to given inequality  5 ≤ s − 6 for s will be s ≥ 11.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Given the inequality,

5 ≤ s − 6

Subtracting by 5 on both sides,

5 - 5 ≤ s - 6 - 5

0 ≤ s - 11

Adding 11 on both sides

0 + 11 ≤ s - 11 + 11

11 ≤ s or s ≥ 11

Hence "The solution to given inequality  5 ≤ s − 6 for s will be s ≥ 11".

For more about inequality,

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Solve the problems.
(will give brainliest)

Answers

Answer:

AB=12m<6

BD=23m>7

Step-by-step explanation:

Help I need this done

Answers

The answer is 6 because I did the math
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U.S. troops had been in Afghanistan for 20 years, ever since they helped remove the Taliban from power in 2001. The United States and other Western nations also helped set up a government."Eight Families From California Left Behind"In 2021 the U.S. decided to end its longest war and withdraw its soldiers from the country. Suddenly, however, the government fell and chaos gripped Kabul. In August, U.S. troops hurried to get Americans and allies out of the country, and the last U.S. soldier left on August 31. Yousef's wife and children were among eight families from El Cajon who were left behind. Yousef's family and several other families finally got out of Afghanistan. The Cajon Valley Union School District and their representative in Congress, Republican Darrell Issa, assisted them. Several of the families spoke to reporters last week. Yousef asked that only his first name be used in this story because he still has relatives in Afghanistan who could be at risk. The parents described running with their kids as gunfire whizzed overhead. One father said he was beaten by the Taliban. They said they were kept from getting to the airport by Taliban checkpoints.They said they are grateful to be back in the U.S., but that they worry about the family members unable to get out."Safe At Home Right Now Thanks To God And All Of You""My kids are now safe at home right now thanks to God and all of you," Yousef said.He asked, however, that people not forget the many others left behind. These include U.S. citizens, as well as people with permission to live in the U.S., and Afghans who are at risk because they helped the American government. For the past 20 years, Afghans have worked with U.S. forces to oppose the Taliban. Yousef held a folder that he said contained the documents of 30 people from Afghanistan who qualified for a special immigrant visa. They should be in the United States, he said, but they are still trapped in Afghanistan, desperate to escape.President Joe Biden has said between 100 and 200 Americans were left behind when U.S. troops completed their withdrawal August 31. Many of those left behind are Afghan Americans. The State Department has given no estimate for others who hope to leave Afghanistan. These include U.S. green card holders, people who have permission to live in the United States. Other Afghans received the special visas because they helped Americans during the 20-year war. Congressman Issa said there might be more U.S. citizens and others who were left behind than the U.S. government admits. Yousef said he felt helpless being in California, thousands of miles away, fearing the life he and his family had built would come to a halt and his wife and children would be trapped in Afghanistan ruled by the Taliban. He and his family are all U.S. citizens. They came to this country on a special immigrant visa after Yousef worked for the U.S. government in Afghanistan."U.S. Authorities Escort Family To Airport"Yousef said Issa's team arranged a time for his family to go to the airport with an escort from U.S. authorities. He described talking to Issa's team from where he was in California. At the same time, he was navigating his family through the chaos in Afghanistan.His family returned home to California on Friday, September 3. The first thing he did was take them to IHOP, the International House of Pancakes. It's their favorite restaurant.He hopes more of those happy moments will wipe away the deeply distressing memories his kids have. His 7-year-old son, his youngest, has been talking about the violence."They are talking about it, about the gunfire, and being scared of the Taliban, but we hope they forget all that," said Yousef. 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