Mathematics College

Solve by taking the square too of both sides.
3(c+3)^2-81=0

Solve By Taking The Square Too Of Both Sides.3(c+3)^2-81=0

Answers

Answer 1

Answer:

x = -3 ±3sqrt(3)

Step-by-step explanation:

3(x+3)^2-81=0

Add 81 to each side

3(x+3)^2=81

Divide each side by 3

3/3(x+3)^2=81/3

(x+3)^2=27

Take the square root of each side

sqrt ((x+3)^2)=±sqrt(27)

x+3 =±sqrt(9*3)

x+3 =±sqrt(9)*sqrt(3)

x+3 =±3sqrt(3)

Subtract 3 from each side

x = -3 ±3sqrt(3)

Related Questions

guys help me 3(x−4)≥−2x+3

Answers

Answer:

sensya na bobo den ako e✌

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11? Plus-or-minus one-eleventh, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus5 Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11 Plus-or-minus one-eleventh, plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11 0, Plus-or-minus one-eleventh, Plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11

Answers

Answer:

Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11

Step-by-step explanation:

According to the Rational Root Theorem, the potential roots of f(x) = 5x² – 7x + 11 are; Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11.

Rational Root Theorem:

The given function is; f(x) = 5x² – 7x + 11

On this note; Using the rational Root Theorem while determining the root; we have;

f(x) = 0 = x² -7/5x + 11/5.

The possible roots are therefore the factors of the constant, 11/5 and are as follows;

±11/5±1±11±1/5.

Read more on Rational Root Theorem;

https://brainly.com/question/4251786

There are 454 grams in a pound. Convert 330 grams to ounces.

Answers

U have to Substract the numbers and then there your answer

11.6 ounces

330g x 1lb/454g x 16oz/1lb = 11.6 ounces

If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer.  (citing my source usa test prep but i worked it out.)

A train goes from Springfield, MA to Boston at a speed of 40 mph. On the return journey it moves at a speed of 80 mph. If the return journey takes an hour less than the outward journey, what is the average speed overall of the train?

Answers

Answer:

The answer is 53.3333333

Step-by-step explanation:

first you know that the speed on the way there is 40 mph and the back is 80

lets call the time x On the way there the time would just be X on the way back it would be x-1 because it took one less our

to calculate the distance you need to do speed times time therefor the distance on the way there would be 40x and the way back would be 80x-80

Then I made an equation 40x=80x-80 X=2

so the distance would be 80 miles but to find average speed you need to do total distance over total time so it would be 160 over 3 because the time is 2x-2 x=2 so thats 3

Hope this helps

 

Two companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 a month. Company B does not charge an upfront fee but charges $35 a month. After how many months will the two companies charge the same amount?

Answers

Answer:

After 5 months each company will charge the same amount

Step-by-step explanation:

Math Modeling

The situation raised in the question can be modeled as follows.

Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:

Ca = 75 + 20x

Company B charges no upfront fees, and $35 a month. We model its charges Cb as:

Cb = 35x

We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:

75 + 20x = 35x

Subtracting 20x:

75 = 35x - 20x

Swapping and simplifying:

15x = 75

Solving:

x=75 / 15

x=5

After 5 months each company will charge the same amount

There are 1200 students in a school 51% of them are female how many are male

Answers

The answer to this question is 612. Your welcome

Answer:

Step-by-step explanation:

588 are boys

1% of 1200 is 12, 50% is 600, add 12 and 600 together, you get 612, subtract it from 1200 and it gives you 588

F(x)=2x+2 solve the inverse when x=4

Answers

The answer is f= 5/2

Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne's function?

Answers

Complete question is;

Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne’s function?

A) 0, 1, 2, 3, 4, …

B) …, −4, −3, −2, −1, 0

C) …, −3, −2, −1, 0, 1, 2, 3, …

D) …, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …

Answer:

Option A: {0,1, 2, 3, 4,....}

Step-by-step explanation:

Domain is simply a set of input while the range is a set of output values.

For example, if we have a function named f(x) = x², the domain will be all possible values of x being inputed while the range will be the value of f(x) for all possible values of x inputed.

Now, from the question, we are told that she wrote the amount of money she spent as a function of the number of bottles sold.

If the number of bottles sold is denoted by "x", it means the function is; f(x).

Now, number of bottles has to be a non-negative whole number or simply a non-negative integer. Thus, the possible values of x are all non-negative whole numbers like, 0,1, 2, 3, 4, 5....

Thus,domain is {0,1, 2, 3, 4,....}

Answer:

A. 0,1,2,3,4,.....

Step-by-step explanation:

Which number
not in scientific notation?
6x10^24
2.01x10^-2
1.3x10^-4
0.5x10^3

Answers

Answer:

It's 0.5x10^3

Step-by-step explanation: A number in scientific notation has to be between 1 an 10. It can't be less than one or 10.

I think the answer would be 0.5x10^3

whats the decimal of -3 13/20​

Answers

Step-by-step explanation:

-3 13/20

-3 65/100

-3 0.65

= -3.65

it is -1.95 ! put it on a calculator

A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.

Answers

I think it’s 8 not 100% but I think

7b-2/5=6b-7/5 nudfghnkdfbvugyteugdyvbbbvybhjedfs

Answers

Answer:

b=−1

Step-by-step explanation:

what equation equivalent to 4x - 6y = 12

Answers

Answer:

12+6y=4x

Step-by-step explanation:

Answer:

y=2/3x−2

Step-by-step explanation:

Divide. Round your answer to the nearest whole number.
5,481 - 0.605

Answers

Answer:

Step-by-step explanation:

It matters what the order is when you do the rounding.

5481 = 5500

0.605 = 1

The rounded answer is 5500 / 1 = 5500

However if you do the question and then round you get a much closer answer.

5481 ÷ 0.605 = 10712

Help me ASAP please

Answers

from what I remember from what my teacher taught me was that its nonlinear. I'm 98% sure its nonlinear

I'm am so sorry if I get it wrong. I'm apologizing ahead. if you want you can get the points back I dont mind because I feel bad when I get things wrong but I'm pretty sure its non linear

Use partial quotients to divide. Show your work.
)
​___ group(s) of
​___ group(s) of
​___ group(s) of
0
Add the partial quotients.

Answers

I need more information on what I'm meant to be doing so I can help you because I don't understand the question after I re-read it over and over again.

Help...............................

Answers

The answer is 25 grams.

A rectangular room is 4 yards long and 5 yards wide . Lucas is covering the floor with tiles that are 1 square foot . How many tiles will he need ?

Answers

Answer:

I think like 21

Step-by-step explanation:

i think it correct but if it not it okay but alaest I try my best on it

Find the measure of angle b

Answers

Answer:

I'd say 42 degrees, but I might be wrong.

Step-by-step explanation:

It looks the same as the other labeled angle, which is 42 degrees, so that would make angle b 42 degrees.

Which relation represents a function? {(0, 3), (2, 4), (0, 6)} {( - 7, 5), ( - 7, 1) ( - 10, 3), ( - 4, 3)} {( 2,0), (6, 2), (2, -2)} {( - 6, 5), ( - 3, 2), (1, 2), (6, 5)}

Answers

Answer:

is it none of the above

Step-by-step explanation:

Scarlet believes that she will be able to sell 132 boxes of cookies in her Girl Scout troop. If there are 12 boxes in each crate how many crates should she order to sell

Answers

Answer:

11

Step-by-step explanation:

132 ÷ 12 = 11

Answer:

11 ( Did it on college bridge )

Step-by-step explanation:

Solve the absolute value equation for n
1-8n +41 + 6 = 34

Answers

Answer:

n=1.85

Step-by-step explanation:

1-8n+41+6=36

-7n+47=36

shift 47 to the other side

-7n=36-47

-7n=-13

n=-13/-7

cancel the negative sign

n=13/7

n=1.85

please mark as brainliest!!!

Round four hundred seventy-six thousand three hundred twenty-one and fifty thousand eight hundred nine hundred-thousandths to the nearest dollar.

Answers

Answer:

476,321.50

476,322

Step-by-step explanation:

Logan is solving this problem:

The cheetah ran 0.05 hours at a rate of 70 mph. How far did the cheetah run?

Logan solves the problem by writing:

d = r t. d = 70.05 miles.

What is wrong with Logan’s work?

A.) Logan used the wrong formula. He should have used A = bh.
B.) Logan did not use parentheses when substituting, and he did not multiply the numbers.
C.) Logan's work is correct.
D.) Logan labeled his answer incorrectly. The correct label is feet.

Answers

Answer:

Logan did not use parentheses when substituting, and he did not multiply the numbers.

Step-by-step explanation:

took the assignment, it was correct.

Answer:

B

Step-by-step explanation:

How much is 28 + 56 + 93

Answers

Answer:

177

Hope this helps

28+56+93 would equal 177 .

List all the factor pairs for the
number 48.
List all the factor pairs for the
number 23.
List all the factor pairs for the
number 12.
List the first 5 multiples for the
number 12.
List the first 5 multiples for the
number 8.
DON'T FORGET TO USE THE
MULTIPLE MONSTER.
(repeated addition or Math
Facts)
List the first 5 multiples for the
number 9.
List the first 5 multiples for the
number 4.
List the first 5 multiples for the
number 7.

Answers

Answer:

1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8  

Sorry I can do more if needed

Step-by-step explanation:

3. Find the precise. or exact. sum of these two numbers. 123+358 = ​

Answers

Answer:

481

Step-by-step explanation:

The linear function f(x) = 0.3x + 76 represents the average test score in your history class, where x is the number of the tests taken. Determine the test average for your history class after completing test 3.
A.
76.9

B.
79.9

C.
76.3

D.
76

Answers

Answer:C

Step-by-step explanation:

The answer is C. 76.3

Sally is making lemonade. The ratio of cups of water to teaspoons of lemonade mix is 2 to 5. If Sally wants to make a larger batch, how many cups of water does she need is she used 25 teaspoons of lemonade mix?

Answers

Answer:56

Step-by-step explanation: jggjoohjmnj

NEED HELP ASAP PLEASE!!!!

The frequency tables below show the amount of weight loss during the first month of a diet program for both males and females. Identify the graph that shows the corresponding frequency polygons.

Answers

Answer: did you get the answer ?

Step-by-step explanation:

Other Questions
Find the missing number so that the equation has infinitely many solutions.4x + ? 6x = 2x 9Missing Number = ? 13. Which type of flower is the better buy?Type ofNumber ofCost ($)FlowerFlowersRoses2.$7Lilies3$9Tulips4$11 Which set of words best describes Buck's character at the beginning of The Call of the Wild?pampered but ignorantwell-bred but strongwild but obedientcivilized but violent Given the graph below, which of the following represents the domain of the function?A)Domain: 6 < x < 8B)Domain: x C)Domain: 3 < x 6D)Domain: 6 x < 8 Why do you need a telescope to see Proxima Centauri? A placekicker kicks a football at and angle of 40.0 degrees and the initial speed of the ball is 22 m/s. Ignoring air resistance, determine the maximum height that the ball attains. The purchase of office equipment at a cost of $7,600 with an immediate payment of $4,200 and agreement to pay the balance within 60 days is recorded by the purchaser with:_____. A. A debit of $7,600 to Office Equipment, a credit of $4,200 to Cash, and a credit of $3,400 to Accounts Payable. B. A debit of $7,600 to Office Equipment, a debit of $4,200 to Accounts Receivable, and a credit of $3,400 to Accounts Payable. C. A debit of $3,400 to Accounts Receivable, a debit of $4,200 to Cash, and a credit of $7,600 to Office Equipment. D. A debit of $7,600 to Office Equipment, a credit of $4,200 to Cash, and a credit of $3,400 to Accounts Receivable. A proportional relationship is shown in the table below:xxx 000 1.31.31, point, 3 2.62.62, point, 6 3.93.93, point, 9 5.25.25, point, 2yyy 000 111 222 333 444What is the slope of the line that represents this relationship?\qquad1.3Graph the line that represents this relationship. jooni and kunal hurt themselves in an accident yesterday. change into passive What is a Testable question I can use for tennis balls Is Gold and metal or nonmetal? Kuroo What role does scarcity play in manufacturers decision to produce MP3 files and not CDs What was an important result from emperor Constantine's conversion to Christianity?A)Christians saw Romans as evil.B)Christianity continued to be persecuted by law.C)Christianity immediately became a "permitted" religion.D)Christianity immediately became the official religion of the Empire. Use the map for questions 1, and 21. Which state would be located at the following coordinates (32 N, -89 W)?a. Arkansasb. Floridac. Mississippid. Illinois what is most likely to result when a mutation affects a DNA sequence? Statement 1: The reaction follows the mass energy equation E= mc". Statement 2: A large amount of energy is produced during the reaction. Which statement(s) are true for both fusion and fission reactions? (1 point) a. Only 1 b. Only 2 c. Both 1 and 2 d. Neither 1 nor 2 Describe the coral reef. Pls answer asap thxs... Conditions in the environment that impact the size of the population are called which is a endpoint of a ray Randi shovels and salts her neighbors' driveways and walkways to earn money during the winter months in her town near the Pocono Mountains. She charges $25 dollars per hour because the amount of time she spends shoveling and salting depends on the size of the driveway and walkway.Randi has to pay for the salt that she uses, which costs her $3.00 per job on average. She also saves $2.00 per job to cover the costs of replacement shovels as needed.Randi's profit is the total amount of money that she collects from a snow shoveling and salting job that takes t hours minus her costs.Randi earned a profit of $60.00 on her last snow shoveling and salting job. Write an equation that can be solved to find how many hours Randi spent shoveling and salting to earn a profit of $60.00.Write your answer in the form of an algebraic equation using the math editor. You do not have to solve the equation, but you will need to use your equation to complete the next test question.