Factor n2 + 8n + 12 completely.

Answers

Answer 1

Answer:

(n+2)(n+6)

Step-by-step explanation:

[tex]n^2+8n+12\\\\[/tex]

Break the expressions into groups

[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]

Factor out n from n^2+2n

Factor out 6 from 6n+12

[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]

Factor out common term : n+2

[tex]=\left(n+2\right)\left(n+6\right)[/tex]

Answer 2

The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).

Given that,

The quadratic equation is,

n² + 8n + 12

Used the factorization method to factor the quadratic equation.

Now, factor the equation,

n² + 8n + 12

n² + (6 + 2)n + 12

n² + 6n + 2n + 12

n (n + 6) + 2(n + 6)

(n + 2) (n + 6)

Therefore, the factors of the equation are (n + 2) and (n + 6).

To learn more about the quadratic equation visit:

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Related Questions

Please help me I’m stuck

Answers

Answer:

[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]

Peyton invested $300 into a savings account. The equation
A = 300(1.005)12t models the amount in Peyton's account A after t
years. How much will be in Peyton's account after 7 years?

Answers

Hey!
First let’s plug in 7 for t. 300(1.005)12(7), 12*7= 84
300*1.005= 301.5
301.5*84= 25,326

Peyton will have $25,326 in her account after 7 years.

will mark brainlist + 30 points .. please help asap!!

This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
3
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has exactly 2 pairs of shoes
in their closet.
p = [?]

Answers

Answer:

is 20 is your answer I believe

Answer:

p=2/20

p=1/10

the probability that a teenager has exactly 2 pairs of shoes is 1/10

Solve for x pleasssee help

Answers

Answer:

x=8

Step-by-step explanation:

13=x+5

8=x

Answer:

x = 8

Step-by-step explanation:

Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:

x + 5 = 13

So now we have to do the inverse operations thingy:

13 - 5 = 8

So x = 8

tell me if this is wrong so I can fix it

hope this helps:)

The vertex of a function is (-3, 0) and is a minimum. What is the axis of symmetry and how is it determined?

Answers

The axis of symmetry would be -3 because it is always the (x) of the vertex

Angle α is acute such that cos α = 53
Angle β is obtuse such that sin β = 12
(a) Find the exact value of
(i) tan α
(ii) tan β
(b) Hence show that
tan(α + β) = (m rt3 − n) / (n rt3 + m)
where m and n are positive integers whose values are to be found.

Answers

Answer:

Do You have a picture?

Step-by-step explanation:

Find the value of x to the nearest tenth.​

Answers

9514 1404 393

Answer:

  14.7

Step-by-step explanation:

The law of sines tells you side lengths are proportional to the sine of the opposite angle.

  x/sin(46°) = 7/sin(20°)

  x = 7(sin(46°)/sin(20°)) ≈ 14.7

The value of x is about 14.7.

For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays?
(A) 0.065 (B) 0.335 (C) 0.350 (D) 0.450 (E) 0.665

Answers

Answer:

0.335

Step-by-step explanation:

1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.

2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.

3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)

Delayed of icy weather - 0.3

Delayed of MP when weather is not icy - 0.7·0.05=0.035

Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is

0.3+0.035=0.335

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A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?

Answers

Answer:

There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

Step-by-step explanation:

We see that there is a correlation between the amount of bread and the amount of rice bought .

When the bread is bought the amount of rice drops and when the amount of bread is decreased the amount of rice increases.

There is no causation meaning there is no direct affect of buying more bread or rice.Buying of rice does not directly cause the purchase of bread.

Hence there is correlation but not causation.

Correlation and causation can occur at the same time when one event causes the other.

Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?

Answers

If I did it right, Kate is 12 years and 6 months

w h a t, i s, t h i s . . ?

Answers

Best bet chose E 3^x*x

what is the surface area of 150 boxes

Answers

Answer:

Well since there aren't any specifics all you can be given is an equation on how to solve it, if a box has 6 sides and it's a cube then it will just be L*W=A then multiply that area by 6, that gives you the full surface area and if you want it for 150 boxes then just multiply whatever you got for the surface area by 150. It will be different if it's a rectangular box though, with that you must solve the surface area for 3 different pieces and multiply them all by 2 then add them all up and you get the surface area of that shape, then you multiply by 150 and that's your answer.

How can I find the slope of a functional relationship?​

Answers

Step-by-step explanation:

y2-y1/x2-x1

is how you can find the slope

What is the solution to the equation 4/5x=3/10(x+4)?
Oz= -8
O x = 12
O infinitely many solutions
O no solution

Answers

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

4/5x=3/10(x+4)  / · 10

8x=3(x+4)

8x=3x+12

8x-3x=12

5x=12  /:5

x=12/5

620 000 divided by 10 to the 3rd power

Answers

Answer:

620

Step-by-step explanation:

Not only you can find it, but 10 to the third power is 1,000 and 620,000 divided by 1,000 is subtracting the three 0s from it which would equal 620.

Find a volumn please help me

Answers

Step-by-step explanation:

In cuboid .

Volume

= Length * breadth * height

= 12 m * 6 m * 5 m

= 360 m³

Hope it will help :)❤

Answer:

360 m^3

Step-by-step explanation:

To find volume we need to do length × width × height

We know the length is 12, the width is 6 and the height is 5

[tex]12*6=72[/tex]

[tex]72*5=360[/tex]

Once you have multiplied the numbers, you add the form of measurement which in this case is meters/m. So we will add m to the end.

Also since it is volume, we need to add ^3

360 m^3

PLEASE HELP ME AGAINNN

Answers

B.The mode. Because the mode is 7 dollars. It is even lower the average.

What is the surface area to the nearest square inch ? If you answer correctly I will mark you as brainliest and give 20 points

Answers

Answer:

1473 in²

Step-by-step explanation:

Surface area, including sides and the top lid:

S = πr² + 2πrh S = 3.14*7² + 2*3.14*7*30 = 1472.66 in² ≈ 1473 in² (rounded)

In AEFG, the measure of ZG=90°, FG = 15 feet, and GE = 87 feet. Find
the measure of ZF to the nearest degree.

Answers

Answer:

80

Step-by-step explanation:

delta math

Welcome for the answer. This answer is for good intentions only to report if necessary. Thank you have a great rest of your day.

If a Hasan can eat 1/3 of his Shawarma in 1/2 minutes, how many Sharama’s can he eat in 2 minutes?

Answers

Answer:

He can eat 4/3 or 1 1/3 of his shawarma

Step-by-step explanation:

Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00

Answers

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

Is a trapezoid always a square?

Answers

No it is not trust me you will lean that as a freshmen

Answer:

No

Step-by-step explanation:

A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.

In Algebra, we learn about many types of functions. These functions vary from simple to
complex. Think about the different types of functions we've explored so far (linear,
quadratic, and exponential). What features do they share, and how are they unique?

Answers

Answer:

they share some features like;exponents,

mathematical signs, variables and more

The shared feature is that the 3 are functions relating y and x, and the uniqueness is on the exponent (or degree for the first two cases).

What the functions have in common?

A linear function is:

y = a*x + b

A quadratic function is:

y = a*x^2 + b*x + c

An exponential function is:

y = A*(b)^x

So, the thing that we can see that the functions have in common is that in all of them, the variable y depends on the variable x.

How these functions are different?

Well, the exponents are clearly different.

The linear function is of degree 1, the quadratic function is of degree 2, and in the exponential function the variable is in the exponent (it is not a polynomial like in the first two cases).

If you want to learn more about functions:

https://brainly.com/question/4025726

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You work at the library for 25 25 hours each month for $7 $ 7 per hour. You also earn $40 $ 40 each month for completing yard work. Use the drop-down menus to complete the equation to show a way to calculate your total monthly income, m .

Answers

Answer:m =

(25×7) + 40 = m

Step-by-step explanation:

i just know how to do this my brain just does it

I need help to get the answer,

Answers

Answer:

4.25 hours

Step-by-step explanation:

A fully charged phone would be at 100%, so we'll set y equal to 100 and solve for x:

100=20x+15

85=20x

4.25=x

So Sammi's phone will be fully charged in 4.25 hours.

Answer:

4.25 hours

Step-by-step explanation:

"Fully charged" means the percentage should be 100%.

Substitute 100 for y then solve for x.

[tex]100=20x+15\\85=20x\\x=\frac{85}{20}\\x=4.25 \text{ hours}[/tex]

The difference between 25 and a number is at least 13.

Answers

Answer:

x ≤ 12

Step-by-step explanation:

The problem can be represented by the equation:

25 - x = y and y ≥ 13

So, we find that 25 - 12 = 13, which means that any number greater than 12 would result in a difference lower than 13. This sets 12 as the maximum.

HELP ASAP !!!
I dont know how to do this i really need help

Answers

Answer:

1 = A

-1/3 = C

5/6 = B

I am pretty sure

Help plzzzzz help me

Answers

Answer: 10 < x < 60, or x is from 10 to 60

Step-by-step explanation: A domain of a graph consists of all of the input values shown on the x-axis while the range consists of all of the output values shown on the y-axis. Since the question asks to find the domain, you should look at the values of the graph from left to right. The domain includes all real numbers. Notice the black horizontal line on the graph and match up the beginning of it and the end of it with the values on the x-axis. The line begins at an x-value of 10 and ends at an x-value of 60; therefore, the domain (x-values) is from 10 to 60.

Fund the equation of the line that passes through the points (1,2) and (3,12).

Give your answer in the form
y=mx+c

Some use y=mx+b

Answers

Answer:

y=5x-3

Step-by-step explanation:

slope is 5, plug in (1,2) for x and y to find b

A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
0
5
10
15
20
25
5
10
15
20
25
10
15
20
25
10
15
20
25​

Answers

Answer:

could you put a picture up of the different box plots to choose from?

Step-by-step explanation:

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