Solve the equation for all values of x by completing the square.
3x^2-60x+255=0

Answers

Answer 1

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15


Related Questions

please help me, i wanna to move one to the next grade, 10 points

Answers

Answer:

D

Step-by-step explanation:

All the other answers are above $50 while D gives you $49.75.

Good luck!

Answer:

the answer is D

Step-by-step explanation:

because 46.25 plus 3.50 is equal to 49.65 so she can spend it without exceeding the limit

math question screen shot down below

Answers

Answer:

When add up all that was bought you will get $91.57 when you subtract that from 100 you will get $8.43 and that is you answer. plse mark the brainliest thank you!

Step-by-step explanation:

Answer:

B) 8.43

Step-by-step explanation:

you subtract all the prices from 100 and get your answer

Tyler's father is a used car salesman. He receives 5% commission for every car he sells. How much commission does he earn if he sells a car for $22,000?

Answers

Answer:

$23,100

Step-by-step explanation:

First you find 5% of 22,000 which is 1,100. You earn commission so you add 1,100 to 22,000. Therefore getting your answer of $23,100.

Drag the tiles to the correct boxes to complete the pairs.
Match each situation to the simulation that represents it.

Althea has to select 1 student
as the class representative
from 13 students.

Fiona is deciding which of three
forests to research for a
geography project: evergreen,
deciduous, or coniferous.

Jenny is picking a marble from
a jar with two green marbles, six
yellow marbles, and two red
marbles.

rolling a six-sided die



selecting a playing card from
the hearts suit



spinning a spinner divided into
five equal sections


Answers

Answer: rolling a six sided die☞︎Fiona forest research

Hearts suit☞︎Althea class representative

Spinner☞︎ Jenny marbles

Step-by-step explanation:

Answer:

Fiona= die

Althea=cards

Jenny=Spinner

Step-by-step explanation:

starting off Fiona has three which can evenly go into six.

Althea has 13 options which matches with the number of suits in the hearts

the Jenny would be spinner because 5 times 2 is 10

A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate

Answers

Answer:

D

Step-by-step explanation:

D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.

what is the graph of f(x)=3(2/3)^x ​

Answers

Answer:

attached

Step-by-step explanation:

The required graph has been attached below which represents the given exponential function f(x) = 3(2/3)ˣ.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The exponential function is given in the question, as follows:

f(x) = 3(2/3)ˣ

As per the given function, the y-intercept is (0, 3) which is shown in the attached figure.

Hence, the required graph has been attached below which represents the given exponential function.

Learn more about exponential function here:

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Hello! Help please thank you

Answers

Answer:

30

Step-by-step explanation:

30
Plug it in the calculator

Suki paid the following amounts for her last six pairs of jeans before tax:
$44, $38, $45, $49, $125, $50

A) Mean
B) Mode
C) Median

Answers

The correct answer is B. 20 characters

select the one answer. (x+5)-4y

Answers

Answer:

B) The sum of x and 5 subtracted by 4 times y.

Step-by-step explanation:

(x + 5) = the sum of x and 5

- = subtracted by

4y = 4 times y

"The sum of x and 5 subtracted by 4 times y).

B) is your answer.

~

Answer:

B/the second one

Step-by-step explanation:

Determine the ordered pair numbers for each letter.



Point Ordered Pair
A
B
C
D
E

Answers

Answer:
A(3,6)
B(2,3)
C(4,2)
D(6,8)
E(8,4)

Answer:

A(3,6)

B(2,3)

C(4,2)

D(6,8)

E(8,4)

Step-by-step explanation:

Please answer quick:) I will give you brainliest

Answers

I think a)= decrease by 20 (or something with 20)
B coming soon

A submarine travels 19 miles in 1/2 hour. Write an equation to find out how long it will take the submarine to travel 57 miles at the same rate . Then find the time.

Answers

Answer:

1 1/2 hours

Step-by-step explanation:

19m = 1/2h

57m = xh

19 = 1/2

57 = x

19x = 1/2 (57)

19x = 28.5

÷19. ÷19

x = 1 1/2

A normal distribution has mean μ and standard deviation σ .An x-value is randomly selected from the distribution. Find P(μ−σ≤x≤μ+ 3σ)
P(μ−σ≤x≤μ+ 3σ)=

Answers

Answer:

The probability that a randomly selected  x-value lies between μ − 2σ and μ is the  shaded area under the normal curve shown.  P(μ − 2σ ≤ x ≤ μ) = 0.135 + 0.34 = 0.475

Step-by-step explanation:

Correct Answer is 0.8385

Empirical Rule:

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean.

Here,

The 68-95-99.7 rule for the normal distribution says:

P(μ - σ ≤ x ≤ μ + σ) = 0.68

P(μ - 2σ ≤ x ≤ μ + 2σ) = 0.95

P(μ - 3σ ≤ x ≤ μ + 3σ) = 0.997

By taking the left half of the first interval and the right half of the last

interval, we have:

P(μ - σ ≤ x ≤ μ + 3σ) = 0.5*P(μ - σ ≤ x ≤ μ + σ) + 0.5*P(μ - 3σ ≤ x ≤ μ + 3σ) =

0.34 + 0.4985 = 0.8385

Learn more about Standard normal distribution here:

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Billy buys light bulbs in packs of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only $120 to spend.
welp > _

Answers

Answer:

5 packs

Step-by-step explanation:

First, take away the $10 from the $120 he has to spend, therefore he then has $110. Then, divide $110 by $20 and you will get 5.5. He can't get half of a pack so he can only get 5 packs. I hope this helped!

The correct statement that describes the domain of the function is the domain is the set of all real numbers greater than or equal to 0 and less than or equal to 5.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The cost of buying "x" packs of light bulbs is given by the following function:

C(x) = 20x + 10

The function C(x) gives the total cost of buying "x" packs of light bulbs, including the cost of the light bulbs and the shipping cost.

Since Billy can only spend a maximum of $120, we can set up an inequality based on the function C(x):

20x + 10 ≤ 120

20x≤ 110

x ≤ 5.5

This means that Billy can buy at most 5 packs of light bulbs with his budget of $120.

Therefore, the correct statement that describes the domain of the function is the domain is the set of all real numbers greater than or equal to 0 and less than or equal to 5.

To learn more on Functions click:

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Billy buys light bulbs in packs of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy only had $120 to spend. The cost per ligh tbulb with respect to number of packs bought can be modeled by a function. Select the statement that correctly describes the domain of the function. If the statement is incorrect explain why.

A. The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 6

B. The domain is the set of all real numbers greater than or equal to 0 and less than or equal to 5

C. The domain is the set of all integers greater than or equal to 1 and less than or equal to 6

D. The domain is the set of all integers greater than or equal to 0 and less than or equal to 5

Evaluate b - (-1/8) + c where b = 2 and c = - 7/4

Answers

Answer:

3/8 = 0.375

Step-by-step explanation:

Substitute the values of b and c

2+1/8-7/4

16/8 + 1/8 - 14/8= 3/8

Answer:

the answer is 3/8

Step-by-step explanation:

it's from khan

the question is on the image

Answers

Answer:

1/6

Step-by-step explanation:

The slope of a line in y=mx+b form is always the number before the x value.

Hope this helps!

Daryl performs an experiment where he rolls a number cube 25 times and records the results. Three of the trials
resorted in a 1 being rolled. What can be said about the experimental and theoretical probability of rolling a one?
A. The experimental probability is greater than the theoretical probability.
B. The theoretical probability is greater than the experimental probability.
C The theoretical probability is equal to the experimental probability.
D. Nothing can be said to relate the two, because the number of trials was too small

Answers

Answer: it’s B

Step-by-step explanation:

I just took the test

Probability that Garrick is certified = 25
Probability that Molly has not had an accident = 71.87
Probability that Ryan is both certified and has never had an accident =​

Answers

Answer:

Probability that Ryan is both certified and has never had an accident is undefined

Step-by-step explanation:

Given;

Probability that Garrick is certified = P(G) = {25}

Probability that Molly has not had an accident = P(M) = {71.87}

Probability that Ryan is both certified and has never had an accident = P(R) = {?}

Probability of Ryan being certified was not defined,

Probability that Ryan has not had an accident was not also defined

Therefore, Probability that Ryan is both certified and has never had an accident = P(R) = is undefined, since Ryan is not within the given set.

When a regression line was used to model exponential data, the 2-value was
0.517. If the data are linearized using logarithms and then modeled again
with a regression line, the 2-value will be greater than 0.517.
A. True
B. False

Answers

Answer: A

It is true I think.

Step-by-step explanation:

A pizza place offers nine toppings on their pizzas. They are currently offering a special on pizzas with three toppings.

How many different combinations of three toppings can be created?

Answers

Answer:

84

Step-by-step explanation:

Use the population data set of the price, in dollars, of a milkshake at five different restaurants: 2, 4, 6, 9, 14.
The mean is 7.
Which of the following is the approximate standard deviation for the set?

Answers

Answer:

The standard deviation of the set is 4.2

Step-by-step explanation:

The standard deviation (sd) for the set is calculated as follows:

sd² = [(x1 - mean)² + (x2 - mean)² + ... ]/N

where x1, x2, et cetera are the values in the set and N is the number of elements in the set. Replacing with data:

sd² = [(2 - 7)² + (4 - 7)² + (6 - 7)² + (9 - 7)² + (14 - 7)²]/5

sd = √17.6

sd = 4.2

please help me with this one question, thank you

Answers

Answer:

See attachment

Step-by-step explanation:

Answer:

Step-by-step explanation: You’re going to plot a point on the y-axis ay the number 1 then your going to move up two spaces and left three spaces and then draw a line through the two points

30 POINTS PLEASE ANSWER CORRECTLY AND CLEARLY THANK YOU!
Which expression represents the growth of an investment of $1,500 at 12% per year for a period of t years?

A. 1500(12)t
B. 1500(0.12)t
C. 1500t1.12
D. 1500(1.12)t

Answers

Answer:

B

Step-by-step explanation:

The investment grows by 12 percent every year. Therefore, if you multiply the 1500 by 0.12 you should get the value of the amount of extra money made in one year. If you substitute 2 into t you get the value increased by year 2 and so on.

Answer:

the correct answer is b

Step-by-step explanation:

just got it right on egduniuty

PLZ HELP meeeeeeeeeeeeeeeeeee

Answers

for the first problem:

the equation is x+40=90 (degrees) because since there is a little square, that means that angle is 90 degrees. Since it has been split we can use algebra to solve it. x=50 degrees. They are complementary angles because the add up to 90 degrees.

second one: x= 180-62 degrees or x+62=180 degrees. Since this one is a straight line and all straight lines equal 180 degrees, we can use the same algebra logic and put in 62 degrees. x=118 degrees, and the angles are supplementary because they add up to 180 degrees.

hope this helped!

Answer:

Question 1: x=50°

Question 2: x=118°

Step-by-step explanation:

A right angle has a total of 90 degrees

a straight line has a total of 180 degrees

Question 1:

The first problem is an example of a complementary angle. To work out the value of x you would need to Minus the angle of 40 from the total of 90, this gives you 50. This is because question 1 is a right angle and so is 90°, also by subtracting the angle form the total of 90 you are isolating the value of x.

1) Minus 40 from 90.

[tex]90-40=50[/tex]°

Question 2:

The second question is an example of a supplementary angle. To work out the value of x in the second question you would minus the angle of  62 from the total of 180, this gives you 118. This is because question 2 is a straight line and so has a total angle of 180°, also by subtracting the angle from the total we are isolating the value of x.

1) Minus 62 from 180.

[tex]`180-62=118[/tex]°

Find the unit rate. Round to the nearest hundredth, if necessary.

$220 for 17 ft2

Answers

Answer:

12.94 for 1 ft squared

Step-by-step explanation:

You divide 220 by 17.

Answer:

$12.94

Step-by-step explanation:

For 17 ft² = $220

Unit rate = 220/17 = $12.94

PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!


People use water to​ cook, clean, and drink every day. An estimate of 17.2​% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking​, how many gallons do they use every​ day?

Answers

What even is the 4 I guess

Please help ASAP will mark brainliest

Answers

Answer:

-3y^2-7y+6

Step-by-step explanation:

We can use foil to solve this equation:

(-3y+2)(y+3)=

(-3y*y)+(-3y*3)+(2*y)+(2*3) (symplify)=

-3y^2-9y+2y+6

Which equals to -3y^2-7y+6

We can use FOIL to solve.

(-3y + 2)(y + 3)

(-3y * y) + (-3y * 3) + (2 * y) + (2 * 3)

-3y^2 + -9y + 2y + 6

-3y^2 + -7y + 6

-3y^2 - 7y + 6

The answer is A

Best of Luck!

I need a step by step solution ASAP

Answers

Answer:

C 4 /x^2

Step-by-step explanation:

20x / 5x^3

First divide the numbers

20/5 = 4

Then divide the variable

x/x^3  = x/ xxx  = 1/ xx  = 1/x^2

We are left with

4/x^2

If f(x)= 2x+3 and g(x)= 7x-9. What is f(x) + g(x)?

Answers

Answer:

9x -6

Step-by-step explanation:

f(x)= 2x+3 and g(x)= 7x-9

f(x) + g(x) = 2x+3 + 7x-9

Combine like terms

               = 2x+7x   +3-9

               =9x -6

Answer:

9x-6

Step-by-step explanation:

2x+3+7x-99x+3-99x-6

Expand and simplify (x + 5) ( x + 6)

Answers

Answer:

x^2 + 11x + 30

Step-by-step explanation:

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