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

there are two machines that can produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 217 minutes produce that many cans. If the two machines work together, how long will it take them to produce 5400 cans?

Answers

The newer machine works at a unit rate of

(5400 cans) / (180 min) = 30 cans/min

while the older machine operates at

(5400 cans) / (217 min) ≈ 24.88 cans/min

So working together, the two machines work at a rate of about 54.88 cans/min. Producing 5400 cans would then take about

(5400 cans) / (54.88 cans/min) ≈ 98.39 min

Can somebody plz help tell me how to find the people who surveyed like where do u find it? Thx!

WILL MARK BRAINLIEST WHOEVER CAN HELP WITH THIS :DDD

Answers

How many people surveyed is just asking you how many people took the survey so count the total amount of tally marks you did

A highschool science teacher has 78 students. Of those students, 35 are in the band and 32 are on a sports team. There are 16 students who are not in the band or on a sports team. One student from the 78 students will be selected at random. Let even B represent the event of selecting a student in the band, and let event s represent the event of selecting a student on a sports team

Answers

Answer: s sports team because what i was thinking is that the band has a lot of kids so there for there gonna put that kid on the sports team or if the kid likes sports or if the kid likes band.

Step-by-step explanation:

The astronomy club has x members

and wants to increase membership

by 25%. Write an expression for

the number of members if the goal

is reached. please help!

Answers

[tex]x \times 0.25 = y[/tex]

have an amazing day <3

Answer:

x*.25=y?

Step-by-step explanation:

what goes in the highlighted box?

Answers

Answer: 11y

Step-by-step explanation:

When you add 6y and 5y that equals 11y <3

Answer:

11Y goes in the highlighted section.

Step-by-step explanation:

Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.

Then add the Ys together.

I can't really explain anymore, but i hope this helps!!!!

Then your final answer would be y=6. :)

At track practice, Preston
practiced running the hurdles for 2
hours. Then he practiced the high
jump for 1 hour and 30 minutes. If
Preston's track practice ended at
1:30 P.M., what time did it start?

Answers

His practice started at 10:00 am

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?

Answers

Answer:

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

Step-by-step explanation:

fuel efficiency = distance in miles/gallons of gas

fuel efficiency * gallons of gas = distance in miles

Car 1: 20 mpg

Car 2: 40 mpg

Total miles: 1100

Miles of Car 1: x

Miles of Car 2: 1100 - x

Total gallons: 35

Gallons for Car 1: y

Gallons for Car 2: 35 - y

Car 1:

fuel efficiency * gallons of gas = distance in miles

20 * y = x

Car 2:

fuel efficiency * gallons of gas = distance in miles

40 * (35 - y) = 1100 - x

20y = x

1400 - 40y = 1100 - x

20y = x

x = 40y - 300

40y - 300 = 20y

20y = 300

y = 15

35 - y = 35 - 15 = 20

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

URGENT!!HURRY!!PLS!!

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{}[/tex]A ^ 2 + B ^2 = C ^2 for hypotenuse

20^2 + 5^2 = C

400+25 = 425

[tex]\sqrt{425}[/tex] = 20.61

20.61 is hypotenuse.

X = 180 - 20.61 = 159.39

Hope that helps

Hey can you help me fast!!

Answers

Answer:

I believe the answer would be -4 1/2.

13/18 goodluckkkkkyyyy

A cylindrical pipe is 25 ft long and has a volume of 900ft3 find it's approximate diameter to the nearest hundredth of a foot

Answers

Answer:

Diameter of the pipe ≈ 6.77 ft

Step-by-step explanation:

Volume of a cylinder = πr²h

Here, r = Radius of the cylindrical pipe

h = Length of the pipe

Volume of the pipe = 900 ft³

Length of the pipe = 25 ft

By substituting the given values in the formula,

900 = π(r)²(25)

r² = [tex]\frac{900}{25\pi}[/tex]

r = √11.459

r = 3.385

Diameter = 2(radius)

                = 2(3.385)

                = 6.77 ft

The diameter of the cylinderi is 6.77ft

Volume of a cylinder

the formula for calculating thevolume of a cylinder is given as

V = pi d²/4 × h

Given the following

V = 900ft³

h = 25ft

Substitute the given parameters

900 = 3.14 × d²/4 × 25

900 = 19.625d²

d² = 45.859

d = 6.77ft

Hence the diameter of the cylinderi is 6.77ft

learn more on cylinder here: https://brainly.com/question/23935577

Steve made $50 raking leaves and $75 mowing lawns he gave 60% of his earnings to his mother how much did Steve give to his mother

Answers

Answer:

Steve gave his mother $75.

Step-by-step explanation:

Steve earned a total of $125.  Sixty percent of that went to his mother.  Convert 60% into the equivalent decimal fraction and multiply as indicated:

0.60($125) = $75

Steve gave his mother $75.

Answer:

Steve gave $75 to his mother.

Step-by-step explanation:

Steve earned a total of $125. Sixty percent of that went to his mother.  Convert 60% into a decimal and multiply:

0.60($125) = $75

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

Question 5: The missing term her is r²

Question 6: The missing term here is 3.

Step-by-step explanation:

Question 5:

Let's write the equation and then solve it for the missing term. We will call this term x.

[tex](6r^{4}+4r)+(x-2r^{4}+3r)=4r^{4}+r^{2}+7r[/tex]

First, we simplify the letf term adding the similar terms.

[tex]x+4r^{4}+7r=4r^{4}+r^{2}+7r[/tex]

Now, we substract 4r⁴ and 7r in both sides.

[tex]x=r^{2}[/tex]

Therefore, the missing term her is r²

Question 6:

Here, we will call the missing term y. Now, let's solve it for y.

[tex](y-8x-x^{2})-(4x^{2}-7+6x)=-5x^{2}-14x+10[/tex]

Let's first distribute the minus sign into the parentehsis.

[tex]y-8x-x^{2}-4x^{2}+7-6x=-5x^{2}-14x+10[/tex]

Now simplify the left side by adding similar terms.

[tex]y-14x-5x^{2}+7=-5x^{2}-14x+10[/tex]

Now, let's add 14x and 5x² on both sides, then subtract 7 on both sides.

[tex]y=10-7[/tex]

[tex]y=3[/tex]

Therefore, the missing term here is 3.

I hope it helps you!

Kevin rode 24 km in 2 hours. At that rate, how long would it take him to ride 120 km?

Answers

Answer:

10 hours

Step-by-step explanation:

We can convert the speed to km/h, and to do this, you simply have to find the amount Kevin rides in 1 hour. So,

24/2 = x/1

x = 12

So, now we see that Kevin rides at approximately 12 kmph. Now, instead of finding the distance, we need to find the hour at 120 km.

12/1 = 120/x

x = 10

(4, 11), (10, 11), and (9, 7) is reflected over the y-axis .
PLEASE HELP THIS IS DUES TO DAY

Answers

Answer:

The new coordinates would be (-4, 11)

(-10, 11) (-9, 7) Hope this helps!

∛44x-7 -5=0 find the x

Answers

Answer:

x = 3.

Step-by-step explanation:

(∛44x - 7) - 5 = 0

Cube the expression.

44x - 7 - 125 = 0

Subtract.

44x - 132 = 0

Add 132 to both sides.

44x = 132

Divide by 44.

x = 3.

Proof:

(∛44x - 7) - 5 = 0

(∛44(3) - 7) - 5 = 0

(∛132 - 7) - 5 = 0

(∛125) - 5 = 0

5 - 5 = 0

0 = 0

Can someone help me with this question ASAP

Answers

Answer:

D

Step-by-step explanation:

Answer:

the answer is: parallelograms are quadilaterals

Solve for X -3/4(x+2)=6

Answers

Answer:

-10

Step-by-step explanation:

-3/4(x+2)=6

x+2=6/(-3/4)

x+2=(6/1)(-4/3)

x+2=-24/3

x+2=-8

x=-8-2

x=-10

Please please ASAP ASAP please ASAP thank you so much bye no links or files

Answers

Answer:it looks like 90degrees from here so 45 since the middle line is halving it

Step-by-step explanation:

help me do this plz brainiest to whoever right

Answers

Mean: 22
Median: 21

I hope this helps

Which mapping diagram represents a function ? Would it be D?

Answers

Answer:

D

Step-by-step explanation:

Mathematically , for us to have a function, no 2 y values must have a single x value

Although, 2 x-values can have a single y value

The y values called the output values are listed on the right

The x values called the input values are listed on the left

So out of the options, with the given definition above, the one that represents a function is the option D

helpppp meeee plsssssss

Answers

Answer:

Step-by-step explanation:

2 3/4 - 2 1/4

2/4 or 1/2 or 0.5 whichever you want to go with

Answer:

[tex]range = 2 \frac{1}{2} - 2 \frac{3}{4} \\ = \frac{5}{2} - \frac{11}{4} \\ = - \frac{1}{4} \\ = 7 - 1 \\ = 6[/tex]

The temperature in degrees Fahrenheit was recorded every two hours starting at midnight on the first day of summer. The data is show in the table.

Hours
Temp. °F
0
62
2
60
4
57
6
58
8
61
10
64
12
70
14
75

Which type of graph would best display the change in the temperatures throughout the day?
bar graph
line graph
line plot
stem and leaf plot

Answers

Answer:

Line Graph

Step-by-step explanation:

Line graphs are the best type of graph to use when you are displaying a change in something over a continuous range. For example, you could use a line graph to display a change in temperature over time. Time is a continuous variable because it can have any value between two given measurements.

The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Best answer gets brainliest!

Answers

The Standard Normal distribution follows a normal distribution and has mean 0 and ... z = s. Example. Find the z-score corresponding to a raw score of 132 from a ... be less than a given value, greater than a given value, or in between two values. ... P(z < 2.37). Solution. We use the table.

- 4(y-2) = 12

What’s the value of x?

Explain

Answers

Answer:

There is no x, so I’ll find y

Step-by-step explanation:

-4(y-2)=12

Multiply -4 with y and -2

-4y+8=12

Then subtract 8 with its self and 12

-4y = 4

now divide both numbers with 4

y= -1

Step 1. Multiply -4 by y.... you get -4y
Step 2. Multiply -4 by -2.... you get 8
Step 3. Equation will be -4y+8=12
Step 4. Subtract 8 from 8 and 12
Step 5. Equation will be -4y=4
Step 6. Divide 4 by both sides
Step 7. Answer is y=-1

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

The answer is c
To square it you would just do (5x-4y)(5x-4y)

The students in two 7th grade classes were asked, "How many text messages did they send over the past weekend?" The data was collected and a dot plot was created for each class. For what values do class A's distribution and class B's distribution overlap?​

Answers

Answer:

2, 3, 4, and 5

Step-by-step explanation:

Class A and Class B's distributions overlap for the values of 2, 3, 4, and 5. This can be seen in the dot plot below since all of these values have inputs on both of the class' distributions. Values 0 and 1 are not included because they only have inputs for Class A, while values 6 and 7 are not included because they only have inputs for Class B. In order for the values to overlap they need to be included in both class distributions.

Answer:

2,3,4,5

Step-by-step explanation:

Class A and Class B distribution overlap at 2,3,4 and 5 because if you look at both graphs you can see how they both overlap each other.

Nat wants to buy a new bike for $240. She has already saved $67. Over the summer, she will earn $100 per month walking dogs.
How many months will it take her to earn the rest of the money she needs to buy the bike? Enter the answer in the box.
months

Answers

Answer:2 months

Step-by-step explanation:

Subsets of sample spaces

Go to le

The sample space below shows the results of the final eight matches played by the English soccer team

Manchester United during their championship 2012 - 2013 season. They won matches where they scored

more goals than their opponent, lost matches where they scored less, and tied matches where they scored the

same amount.

If we take matches 1, 2, 4, 6, and 7 as a subset of the sample space, which of the statements below describe

this subset?

Choose all answers that apply:

CA

The subset consists of all the matches where Manchester United's opponent did not win.

B)

The subset consists of all the matches where Manchester United won or lost.

©

The subset consists of all the matches where Manchester United did not win.

Answers

Answer:

B) The subset consists of all the matches where Manchester United won or lost.

Step-by-step explanation:

1 - Manchester united lost

2 - Manchester United won

4 - Manchester United won

6 - Manchester United lost

7 - Manchester United won

Hence, 1, 2, 4, 6, 7 consists of matches where Manchester United either won or lost.

Therefore, 1,2,4,6,7 is a subset of the sample space where Manchester United won or Lost

Answer:

The letter may be in different orders.

2 answers: "The subset consists of all the matches where there were no ties" and "The subset consists of all the matches where Manchester United won or lost"

Step-by-step explanation:

process of elimination. All the nonhighlighted matches are were there were ties. The highlighted ones have no ties and both teams lost or won.

Help please! No file attachments please, only write your answers in response to question.

Answers

this is the correct answer for the problem
AFK,CGJ,DEL,BHM

hii please help asap ill give brainliest thanks

Answers

Why everyone write that link
The teachings of the buddha.
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