Solve each equation by completing the square.
n^2 – 2n – 48 = -2​

Answers

Answer 1

Answer:

n=1+√47 or n=1−√47

Step-by-step explanation:

Let's solve your equation step-by-step.

n2−2n−48=−2

Step 1: Subtract -2 from both sides.

n2−2n−48−(−2)=−2−(−2)

n2−2n−46=0

For this equation: a=1, b=-2, c=-46

1n2+−2n+−46=0

Step 2: Use quadratic formula with a=1, b=-2, c=-46.

n=

−b±√b2−4ac

2a

n=

−(−2)±√(−2)2−4(1)(−46)

2(1)

n=

2±√188

2

n=1+√47 or n=1−√47

-Bacon


Related Questions

The population of a city in 2000 was 18,500 people. Since then the population has increased 4.8% every year. Determine the correct equation that would represent what the population would be in the year 2028.

Answers

Answer:

see below

Step-by-step explanation:

Consider the year 2000 to be year 0. This would make year 2028 year 8.

Population growth or decay function: [tex]A = Pe^{rt}[/tex]

where A is the final amount, P is the principal amount, r is the rate, and t is time.

[tex]A = 18,500e^{(0.048)(8)}[/tex]

This can be simplified to

[tex]A = 18,500e^{0.384}[/tex]

Hopefully this is what the question is asking!

Please help!!!!!
I took an picture of the question

Answers

Answer:

6

Step-by-step explanation:

Remember f(x) or g(x) in this case is like saying 'y' so when y = 0 x = 6

What is the probability that a point chosen inside the rectangle is in the shaded triangle?
write as reduced fraction.

Answers

Answer:

wait what

Step-by-step explanation:


[tex]3x + 2x + 90 = 180[/tex]
what is the value of x??​

Answers

Answer:

18

Step-by-step explanation:

5x+90=180

5x=90

x=18

Can i get brainliest?

Hi there!

[tex]\large\boxed{x = 18}[/tex]

3x + 2x + 90 = 180

Begin by combining like terms:

5x + 90 = 180

Subtract 90 from both sides to isolate for x:

5x + 90 - 90 = 180 - 90

5x = 90

Divide both sides by 5 to further isolate:

5x/5 = 90/5

x = 18.

x-8/6 = 1/3 what is X

Answers

Answer:

x = 10

Step-by-step explanation:

Answer:

i got the answer 10

x-8/6 =1/3

or, x-8 = 6/3

or, x=8+2 =10

Fabian makes a scale drawing of his tree house with a scale factor of 1 foot = 0.44 inch. If the length of the tree house in the drawing is 3.52 inches, what is the actual length of the tree house

Answers

1/0.44 = x/3.52
0.44x = 3.52
x = 8

8 feet

hat is the surface area of a cylinder that has a volume if 785.4in3 and a radius of 5 in?


A 471.2in2
B 10in2
C 150in2
D 4712.3in2

Answers

Answer:

A. 471.2 in²

Step-by-step explanation:

Cylinder volume:

V = πr²h

Cylinder surface area:

A = 2πr(r + h)

Find h from the first equation:

h = V/(πr²) = 785.4/(3.14*5²) = 10 in

Find surface area:

A = 2π(5)(5 + 10) = 471.23 in²

Correct choice is A

Answer:

volume of cylinder=πr²h

785.4=22/7×5²×h

h=785.4×7/(22×25)=9.99=10in

Step-by-step explanation:

surface area of cylinder =2πr(r+h)=2π×5(5+10)=

471.238898038in²

A 471.2in2 is your answer.

A person invested \$8,700$8,700 in an account growing at a rate allowing the money to double every 15 years. How long, to the nearest tenth of a year would it take for the value of the account to reach \$23,100$23,100?

Answers

Answer:21.13208319 =21.1

Answer: Probly 10 years or less

Step-by-step explanation:

work out the size if angle x 130 degrees and 96 degrees​

Answers

Answer:

130= x+96

130-96=x

34=x

Step-by-step explanation:

Answer:

34°

Step-by-step explanation:

130+50=180 (straight line)

50+96=146

180-146=34°

Pleaseee helpp don’t understand!!

Answers

Answer:

Step-by-step explanation: so

First you should have paired attention and I don’t understand either sorry!

The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. The employees are assigned the numbers 001–250. Refer to the given line from a random number table. Which numbers represent the first 3 members selected?

46254 58160 09695 38399 40400 32662

462, 545, 816
009, 040, 032
160, 096, 040
046, 025, 045

Answers

Answer:

B.

Step-by-step explanation:

edge2020

the cost of a ticket increases by 10% to £19.35 work out the original cost

Answers

Answer:

£17.59

Step-by-step explanation:

100 + 10 = 110% (Price of a ticket after increase)

110% = 19.35

1% = 19.35 ÷ 110 = 0.1759

100% = 0.1759 x 100 = 17.59

20, 18, 21, 18, 22, 24, 18, 23, 23, 24 Explain the meeting of the interquartile range as it relates to the number of students in the kindergarten classes

Answers

The interquartile range of the data-set is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile(Q1) is the median of the first half of the data-set, and is also the 25th percentile.The third quartile(Q3) is the median of the second half of the data-set, and is also the 75th percentile.The interquartile range(IQR) represents the middle 50% of the distribution, and is given by Q3 - Q1.

For this problem, the ordered data-set is given by:

18, 18, 18, 20, 21, 22, 23, 23, 24, 24.

There are 10 elements, hence:

The first half is 18, 18, 18, 20, which has median (18 + 18)/2, hence Q1 = 18.The second half is 23, 23, 24, 24, which has median (23 + 24)/2, hence Q3 = 23.5.

Then the IQR is:

Q3 - Q1 = 23.5 - 18 = 5.5.

The IQR is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.

More can be learned about the interquartile range of a data-set at https://brainly.com/question/17083142

#SPJ1

While making soup, Jenna added 5 fluid ounces of broth. About how many milliliters of broth does she add to her soup?
please help as fast as posible this is 100 pints

Answers

Answer:

148

Step-by-step explanation:

5 times 29.6

I need help !! I’ll give brainliest for the correct answer.

Answers

Answer: -4 2/3
Hope this helps you!

help please asap. best answer gets brainliest.

Answers

Answer:

Step-by-step explanation:

4 is coefficient

x is variable

12 is constant

4-coefficient
X-const
12-variable

Solve for x. Enter the solutions from least to greatest.
2x^2 – 24x + 54 = 0
lesser x =
greater x =

Answers

Answer:

3

9

Step-by-step explanation:

(2x-6)(x-9)=0

lesser x = 3

greater x = 9

2/9 h = 8

h=

Pls tell me what h = !

Answers

Answer:

h=36

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

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer and Step-by-step explanation:

You got the triangle at front, half of 6 is 3, so then you do 4 times 3 divided by 2, which is 6.

There are 4 of those triangles, so 4 times 6 is 24.

Now, we got two rectangles on top. 5 times 12 is 60, and 60 + 60 is 120.

the bottom rectangle is 6 times 12, which is 72.

Now we add.

24 + 120 + 72 is 216

216 [tex]in^2[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

-5p + 3.5 = 8
WITH STEPS ON HOW YOU DID IT PLEASE

Answers

move 3.5 to the other side, which makes it negative
-5p=8-3.5
-5p=4.5
divide both sides by -5
p= -0.9
-5p + 3.5 = 8
-3.5 -3.5 subtract
-5p = 4.5
—— —— division
-5 -5

p = -1.1

What the volume?????????

Answers

volume formula: length x width x height
left rectangular prism: 12 x 2 x 10 = 240
right rectangular prism: 12 x 8 x 2= 192
192 + 240 = 432
volume = 432 m^3

Two girls and three boys are entered in a school raffle that has two prizes. If a person is not allowed to win both prizes, what is the probability that two girls win?

Answers

Answer:

the probability of them both winning is 2/10 or 1/5

Step-by-step explanation:

(2/5)/2=2/10

2/10 is the answer

Or 1/5 like she said

20 points :D
Point A is located at (1,13). Point B is located at (5,8).

Draw parallelogram ABCD in the coordinate grid such that side BC is 7 units long and lies entirely in the first quadrant.

Answers

Answer:

Step-by-step explanation:

A(1,13), B(5,8)

Let C be 7 units to the right of B:  C(5+7,8) = C(12,8)

Let D be 7 units to the right of A:  A(1+7,13) = A(8,13)

0.4x + 2.9 = 1.5
what is x

Answers

Answer:

x= −3.5

youre welcome

Answer:

x= -3.5

Step-by-step explanation:  

Step 1: Subtract 2.9 from both sides.  

Step 2: Divide both sides by 0.4.

RECTA NUMERICA:
¿Qué puedes concluir acerca de los enteros en general mientras mas a la derecha de la recta se encuentran?

Answers

English? I don’t speck

what is the measure of angle c​

Answers

Answer: D+<B=180

x+24+x+10=180sum of opposite angle of quadrilateral is 180

2x=180-34

x=146/2=73

again

<A+<C=180sum of opposite angle of quadrilateral is 180

x+15+<C=180

73+15+<C=180

<C=180-88=92° is your answer

Vita has a piece of ribbon that is 5 meters long. She cuts the ribbon into pieces that are each 1/3 meter long. How many pieces does she cut?

Answers

Answer:

so this is clearly a division problem

the equation will be

5 ÷1/3     Keep switch flip

according to KSF the equation will change to this

5*3  = 15

So she will be able to cut 15 peices.

Thank you, Hope it helps

3/4 / 3/5 divided. write your answer in simplest form or as a mixed number in simplest

Answers

Answer: 5/4

Step-by-step explanation:

do the keep change flip method

then it will be 3/4*5/3 which then equals 15/12 after that you would divide by 3 cause it is the only number that would go in evenly then the answer will be 5/4 in the simplest form

What is another way to write 3 x (4+5) = 27?
Pleas help

Answers

Answer:

Step-by-step explanation:

3 x (5+4) = 27

Hope that helps!

The another way to write 3 x (4+5) = 27, is 3 x (5+4) = 27.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

3 x (4+5) = 27

i.e. 3 x (5+4) = 27

Hence, The another way to write 3 x (4+5) = 27, is 3 x (5+4) = 27.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

5. Which number line represents the solution to the inequality shown below? 9×<36​

Answers

Answer:

x<4

Step-by-step explanation:

9x<36

Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.

x<36/9

Divide 36 by 9 to get 4.

x<4

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