please help !!!!! If (x−3)^2=5, what values of x make the quadratic equation true?

Answers

Answer 1

Answer:

  x = 3 ±√5

Step-by-step explanation:

We can take the square root of both sides of the equation:

  (x -3)^2 = 5 . . . . . . . . given

  x -3 = ±√5 . . . . . . . . square root

  x = 3 ±√5 . . . . . . . . add 3

_____

Additional comment

It is a good idea to remember this process. It is the final step in solving a quadratic by "completing the square."


Related Questions

I need to know what the equation is for this graph..

Answers

Answer:

The choice second

[tex]y = \frac{1}{3} \times ( \frac{1}{4} ) ^{x} [/tex]

Antonia is saving for a video game. On the first day, she saves two dollars in her piggy bank. Each day after that, she doubles the number of dollars she saved on the previous day. How many dollars does she save on the sixth day?

Answers

Answer:

64

Step-by-step explanation:

so each day you times the amount of money by two

1=2

2=4

3=8

4=16

5=32

6=64

7=128

Which expression is equivalent to -6(-2/3+2x)?
plss hurry im timed
-4-12x
-4+2x
4-12x
4÷12x

Answers

Answer:

4 - 12x

Step-by-step explanation:

-6(-2/3 + 2x)

we can distribute by multiplying -6 by whats inside of the parenthesis ( -2/3 and 2x )

-6 * -2/3 = 4

-6 * 2x = -12x

4 - 12x would be the equivalent expression

Given :A expression -6(2/3 +2x).

To Find:The equivalent expression from the options.

Solution :-

Given expression to us is ,

→ -6( -2/3 +2x)

Simplify by multiplying each terms inside the brackets by -6 .

→ -6*-2/3 + 2x*(-6)

Simplify,

→ 4 -12x

Hence option 3 is correct .

I hope this helps .

what is the median and mode of 28,34,34,50,54

Answers

Answer:

Both your median and mode are 34.

Step-by-step explanation:

The median is the middle of the set of numbers in order, and your mode is the number that appears the most.

Good luck :)

no links or files please, i just need the answers.. (Worth 25 points)

Answers

Answer:

A ,D , F

Step-by-step explanation:

A) x-3=0 , x=3

B 1+x=2 , x=2-1=1 , x=1

C 9-x=3 , x=9-3=6 , x=6

D) 6=2x , x=6/2=3 , x=3

E (1/5)x=3 , x=3*5=15 , x=15

F) x^2=9 x=√9 , x=3

Please answer these thank u​

Answers

1. 3*3 + 3*8 = 9+24=33

2. 4*4+.5*2*4+5*5= 16+4+25=45

3. 5*10+4*10= 90

4. 24+.5*4*4 = 32

Divide. Write the answer in simplest form.

2 7/9 divided by 2

Answers

Answer:

1 7/18

Step-by-step explanation:

2 7/9= 25/9

25/9 divided by 2 is 25/18

Answer:

1 7/8

Step-by-step explanation:

2 7/9 simplified as 25/9 divided by 2 is 25/18 which is 1 7/8 if you simplify it. I hope my answer helps!

One year, the population of a city was 105,000. Several years later it was 95,550. Find the percent decrease.

Answers

Answer: 9% decrease in population

Step-by-step explanation:

trust

The tables show the height in
centimeters each plant grew during
a week. Assume the patterns continue.
Compare the growth in height of
each plant.

Answers

Answer:

  Plant B grows 3 times as fast as Plant A

Step-by-step explanation:

Both plants start at 0 height on Day 1 and grow the same amount each day. Plant A grows 2 cm each day; Plant B grows 6 cm each day. The growth rate of Plant B is 3 times the growth rate of Plant A.

Which list is in order from least to greatest? 50 points
Two-thirds, StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction
StartFraction 6 Over 10 EndFraction
StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction, Two-thirds
StartFraction 6 Over 10 EndFraction, Two-thirds, StartFraction 5 Over 8 EndFraction

Answers

Answer:

the answer is 6/10, 5/8, 2/3

Step-by-step explanation:

Elisabeth reads 15 of her book in 112 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to read 3/4 of the book?
Enter your answer as a mixed number in the simplest form by filling in the boxes.

Answers

The number of hours it takes Elisabeth to read 3/4 of the book is;  5³/₅ hours

What are mixed numbers?

We are told that she reads 15 of her books in 112 hours.

Thus, number of hours to read one book is;

112/15 hours per book

Therefore, number of hours to read ³/₄ of the book is;

³/₄ * ¹¹²/₁₅ = 28/5

As a mixed number is 5³/₅ hours per book

Read more on mixed numbers at; https://brainly.com/question/10225

Answer:

5 5/8 h

Step-by-step explanation:

took the test and got it right :)

6.
A swimmer plans to swim at least 100 laps during a 6-day period. During this period,
the swimmer will increase the number of laps completed each day by one lap. What
is the least number of laps the swimmer must complete on the first day?

Answers

Answer:

I think 15

Step-by-step explanation:

15+16+17+18+19+20=105

if it was 14 it would equal to 99

The sum of two one numbers, one of which is one thirds of the other, is 60. Find the smaller number

Answers

Answer:

x = 15

(y = 45)

Step-by-step explanation:

x + y = 60

x = y/3

y/3 + y = 60 /*3

y + 3y = 180

4y = 180 /÷4

y = 45

x = y/3 = 45/3 = 15

Answer:

15 smaller    The other 45

Step-by-step explanation:

X= big

1/3(x) = small

x+1/3(x) = 60

Multiply both sides by 3 to eliminate the fraction

3x+x = 180

4x=180

x= 45   (big=45)

60-45= 15 (small = 15)

    45/3=15

The ratio of boys to girls at a camp is 4:5. If there are 75 girls, how many boys are there? I NEED AN ANSWER ASAP PLEASE

Answers

Answer:

60 boys

Step-by-step explanation:

To find how many boys, you need to find how many times more than 75 is than five. To do that, divide 75 by 5 and you'll get 15. Multiply 4 by 15 and you get 60 boys. (i'm guessing bc im in middle school lol)

what is 10 51/77 as a improper fraction

Answers

Answer: 821/77

Step-by-step explanation:

First multiply 10 by 77 (770) , then add 51 (821)

Set 821 as the numerator or top

Keep 77 as the denominator

Final answer is 821/77

Hope this helps!

There are 16 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 17 cups?

Answers

Answer:

1

Step-by-step explanation:

the reason why is because 16 people are coming to your party + you is 17

unless this is a trick question, i would say…one package because if each package contains 17 cups, each person needs one cup, and there will be 17 people total at your party, one package would have the perfect amount of cups.

24 ÷ 3 × 2 + 2

Show all steps! Thanks!
Use the order of operations!

Answers

Using pemdas, multiplication and division are done left to right when next to each other
24/3=8
8x2=16
16+2=18

Darren is finding the equation in the form y = m x b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation? –34 –19 2 14.

Answers

B is consider to be the y-intercept. If you plot those two points and draw a line connecting the two. The line would go through (0,14). Making 14 the y-intercept and the correct answer.

Find point D on AB that is 3/4 of the distance from A to B

Answers

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

a2+b2=c2 a 2 + b 2 = c 2 ,

Step-by-step explanation:

if the question is a mutiple questions definitely

4

$13.56 is what percent of $16.95?

Answers

Answer:

$13.56 is 80% of $16.95.

what were the most important people for mary eliza mahoney

Answers

Answer:

African American and women

Step-by-step explanation:

Mary Eliza Mahoney was eager to encourage greater equality for African Americans and women

hope this helps!

The hot cocoa stand uses 65 spoons each day. If the stand is open for 30 days, how many spoons are uses?

Answers

Answer:

1950

Step-by-step explanation:

i got to this by multiplying 30 and 65

1,950

Step-by-step explanation:

it's 65 x 30 which equals 1,950

Evaluate the algebraic expression when b = 3, d = 12, h = 2 and r = 7.
A. 8
B. 16
C. 24
D. 32

Answers

Answer:

24

Step-by-step explanation:

the answer is 24 because the 3 and 12 u divide

Answer: the answer is choice c which is 24 .

Step-by-step explanation: HOPE IT IS CORRECT .THANKS .

x − y = 4 y − 8 = -x At which point do the given equations intersect each other?

Answers

Answer:

(6,2)

Step-by-step explanation:

Graph is below

A saving account pays a 3% simple annual interest rate. How much must you put in the saving account to earn $100 in interest in 6 months?


HELP PlS

Answers

Step-by-step explanation:

Solution

Interest =100

Rate=3•/•

Time =0.5

principal =?

Now

p=I×100÷T×R

p=100×100÷0.5×3

P= 10000÷1.5

P=6666.66

Work out the value of angle marked b

Answers

Answer:

22

Step-by-step explanation:

180-90-68=22

Answer:

180 - (90+68) = 22

B =22

Hope this helps!

How many and what type of solution(s) does the equation have?

6p^2 = 8p + 3

No real solutions


2 irrational solutions


1 rational solution


2 rational solutions

Answers

Answer:

2 irrational solutions.

Step-by-step explanation:

6p^2 = 8p + 3

0 = -6p^2 + 8p + 3

The roots are:

p = (2/3) - (8.5)^(1/2)/3, and

p = (2/3) + (8.5)^(1/2)/3

These are irrational numbers.

There are 2 irrational solutions.

If f(1) = 2 and f(n) = 5f(n − 1) then find the value of f(5).
-

Answers

Answer:

f ' (n) = 5f

Step-by-step explanation:

1- Take the derivative

2- remove the parenthesis

3- use differentiation rules

4- Differentiate

5- Simplify  

The edge of a cube is (5x+2) mm long. What is its volume?

Answers

Answer:

(125x+8)cm^3

Step-by-step explanation:

Volume= (5x+2)^3 = (125x+8)cm^3

Hey!

Answer:

125x^3+ 150 x^2+ 60x +8.

Formula of the volume of the cube = v=a^3

Substitute:

v=(5x+2)^3

=125x^3+ 150 x^2+ 60x +8.

I need help with 13 on both pictures. The first picture is the answer and the second picture is the question not getting the answer at all

Answers

Problem 13

If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.

Example: x^3 times x^3 = x^6 in the top left cornerAnother example: 2x times x = 2x^2 in the bottom right corner.

This is known as the box method to keep track of all the terms multiplied.

Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).

The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2

Other Questions
find the length of arc AB. use 3.14 for . round to the nearest tenth Conditional statements that are always true are called:. In a short paragraph, Compare Hinduism and Buddhism , give at list 2 similarities and at least 2 differences According to US census data (2010), America is made up of many diverse groups of people. In the United States, [blank] is the most common foreign language, spoken by about 12.3 percent of the population.Between 2000 and 2010, the [blank] population accounted for more than half the population growth in the United States. Read the text and question and choose the option with the correct answer.Buenas noches, me llamo Lupita. Tengo quince aos y soy de Uruguay. Me gustan las fiestas de la vspera de Ao Nuevo. En Uruguay hay there is una costumbre para limpiar el espritu de las personas y para empezar begin el ao bien.What tradition or custom is Lupita referring to? Changing shoes and clothes Dancing with your father at midnight Throwing water out the window Holding a baby at midnight Using a Venn diagram, show your understanding of the two characters in the story "The Two Well-Diggers". How does the valmonde family treat Desiree ? Why is nitrate important in the ocean? How is it used biologically in the ocean? A DVD player cost rupees. 3895. What is the cost 45 such players? Find the value of x. (please show how you solved the problem if you're able to! :D) Please help me math and Thanks Solve x/2 - 2 = 5x =... I dont understand this. Elizabeth coal ltd has total assets of $8,000,000, common stock of $4,200,000, and liabilities of $1,200,000. What is the amount for retained earnings?. Which statement most accurately captures the central idea of the poem?(A) Surfing is both a challenging and dangerous activity.(B) Surfing is a way to learn more about cycles in the natural world.(C) Surfers must connect with the motion of the waves to be successful.(D) Surfers must practice extensively to be able to master the activity. Which of the following statements best represents the evolutionary theory on emotions? A. Emotions serve to increase chances for survival. B. Emotions are influenced mostly by thought. C. Emotions are learned only through experience. D. Specific emotions result from appraising one's experiences. Please select the best answer from the choices provided A B C D. M varies directly as the square of N. if N increases by 10%,find the percentage change in M What are the like terms in the expression 3n + 2m - 2 + 3m? what is the key to success in the world and in the hereafter? What is the correct expanded form and value of 5o (13)41 1 1O 5+5+5+5+1 1 1 1 15'5'5'5625...1+1+1+15.44201545