The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24

Answers

Answer 1

Answer:

(A)6

Step-by-step explanation:

Given the quadratic expression: [tex]a^2+8a+12[/tex]

We factorize:

[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]

Therefore, the missing number that will complete the factorization is 6.

Answer 2

Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

What is Factorization?

Factorization can be defined as a process of resolving a product into factors.

Thus:

a² + 8a + 12

a² + 6a + 2a + 12

(a² + 6a) + (2a + 12)

a(a + 6) +2(a + 6)

(a + 2)(a + 6)

Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

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Related Questions

Please help! Sarah’s dogs:
Create frequency tables to represent the morning and afternoon dogs as two sets of data. Group the weights into classes that range 10 pounds. (Table is in second attachment)

Answers

Answer:

For Sarah's dogs, we have:

Morning:

39, 21, 12, 27, 23, 19, 19, 31, 36, 25

if the ranges are:

A) 10 pounds to 19 pounds: here we have the dog of 12, and two dogs of 19.

B) 20 to 29: one of 21 pounds, one of 27, one of 23 and one of 25, so here we have 4 dogs.

C) 30 to 39. here we have the left 3 dogs.

then the table is:

[tex]\left[\begin{array}{ccc}range&dogs\\10to19&3\\20to29&4\\30to39&3\end{array}\right][/tex]

For the afternoon, the weights of the dogs are:

15, 51, 8, 16, 43, 34, 27, 11, 8, 39

So the ranges:

0 to 9: here we have two dogs of 8.

10 to 19: 3 dogs, 15, 16 and 11.

20 to 29: 1 dog of 27

30 to 39: 2 dogs of 34 and 39

40 to 49: one dog of 43

50 to 59: one dog of 51.

the table is:

[tex]\left[\begin{array}{ccc}range&dogs\\0to9&2\\10to19&3\\20to29&1\\30to39&2\\40to49&1\\50to59&1\end{array}\right][/tex]

Answer:

No hate but Facundo your answer is so complicated

Step-by-step explanation:

what numbers does a,b,c represent and you have two tables but after abc I just don't understand can someone please help me?!? Thanks for answering it though.

Is 8.26 an irrational number

Answers

Answer:

no it is not

Step-by-step explanation:

write the next three multiples of 9
36,

Answers

Answer:

45,54,63

Step-by-step explanation:

The multiples of 9 are

9,19,27,36,45,54,63,72,81

The three multiples are 36 are

45,54,63

Answer:

9, 36, 45, 54, 63

Step-by-step explanation:

Can someone help me please thank you it’s geometry

Answers

Answer:

alternate exterior angles

Step-by-step explanation:

The two horizontal lines are simply two lines.

The other line is a transversal since it intersect the two lines at two different points.

Angles 1 and 8 are on two different sides of the transversal. That makes them alternate angles. They are on the outside of the two lines. That makes them exterior angles. Put the two things together and they are:

alternate exterior angles

At the gym, Polina put 4 five-pound weights onto a barbell that weighed 22 pounds without any weights on it. If Polina lifted the barbell with both arms, which expression can be used to determine the weight that each arm was lifting?

[(4 × 5) ÷ 2] + 22
(4 × 5) ÷ 2 + 22
[22 + 4 × 5] ÷ 2
22 + (4 × 5) ÷ 2

Answers

Answer:

D. 22+(4×5)÷2

Step-by-step explanation:

Four 5 pound weight=(4×5)

Barbell weighed 22 pounds

={(4×5)+22}

Paulina lifted it with both arms

Both arms=2

{(4*5)+22}/2

It can be rewritten as

22+(4*5)÷2

Suppose your SAT score is 1490. You look up the average SAT scores for
students admitted to your preferred colleges and find the list of scores below.
Based on your SAT score of 1490, which average score below represents the
college that would be your best option?
Q A. 1470
B. 900
O C. 1420
O D. 1190

Answers

The best in quality will probably be the 1470 but easiest to get i to is probably 1190 because if your sat score is way above their average they will think you are flaunting and deny your request
Plz mark as brainliest!

If paint cost $24 and their is a sale for the next month, and the discount is 25% off paint, how much will the paint be after if you buy it during the sale?

Answers

The answer is $18 cause 25% of 24 is $6, and $24-$6 equals $18

Here's the question. Please awnser ASAP

Answers

Answer:

the answer is A because the pair of ratios are equivalent.

in what ways can the graph of a linear function be transformed

Answers

Answer:

Using Transformations

Step-by-step explanation:

HELP FAST 5√6 As a Whole Radical

Answers

Answer:

sqrt(150)

Step-by-step explanation:

We want to write the whole number inside the radical

5 = sqrt(5*5)

We know that sqrt(a) sqrt(b) = sqrt(ab)

5 * sqrt(6)

sqrt(5*5) * sqrt(6)

sqrt(5*5*6)

sqrt(150)

Answer:

[tex]\sqrt{150}[/tex]

Step-by-step explanation:

since the 5 is out of the sqrt root, you need to ^2 to put it back in again.

[tex]5^{2}[/tex]=25

and then in the sqrt you multiply the two variables

6* 25 = 150

so the answer is sqrt{150}

You're making dessert but your recipe needs adjustment. Your chocolate chip cookie recipe makes 4 dozen cookies, but you need 3
1
dozen cookies. If the recipe requires 15 cups of butter, 5 teaspoons of baking powder, and 2 cups of pecans, how much of each of
these ingredients are necessary for 3 dozen cookies? Simplify your answer

Answers

Answer:

Butter = (3*15) / 4 = 45/4 = 11 1/4 tsp

Baking powder = (3*5) / 4 = 15/4

= 3 3/4 tsp

Pecans = (3 * 2) / 4 = 6/4

= 3/2 = 1.5 cups

Here, we are required to determine how much of each of these ingredients are necessary for 3 dozen cookies

The ingredients are;

11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.

Therefore, for 3 dozen cookies; 3 quarters of the requirements for 4 dozen cookies;

Cups of butter needed = (3/4) × 15 = 11.25

Teaspoons of baking powder needed = (3/4)× 5 = 3.75

Cups of peacans needed = (3/4)× 2 = 1.5

Ultimately,

11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.

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Math help please! What are the possible solutions to this system?

Answers

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5

Type the integer that makes the following addition sentence true:


+ 83 = 19

Answers

Answer:

The answer is: -64

Step-by-step explanation:

To get the answer of -64, you would have to subtract. To subtract you would use this equation: 19 - 83. This would get you -64. To double check your answer, you would add -64 + 19 to make sure your answer is 83.

I would appreciate if you mark me as brainliest! :D

Three more than the product of two and a number

Answers

Answer:

2x+3

Step-by-step explanation:

+3 " three more than"

2x " the product of two and a number"

2x+3 " three more than the product of two and a number"

how do you Solve. 21r<7

Answers

Answer:

r < 1/3

Step-by-step explanation:

21r<7

Divide each side by 21

21r/21<7/21

r < 1/3

Answer:

[tex] r < \frac{1}{3} \\ [/tex]

Step-by-step explanation:

[tex]21 \: r < 7 \\ \frac{21 \: r}{21} < \frac{7}{21} \\ r < \frac{1}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Can someone teach me how to do this

What is the value of the angle marked with x

Answers

Answer:

50

Step-by-step explanation:

opposite angles are equal so 50 is corresponding with x

Answer:

x = 50

Step-by-step explanation:

Parallelogram have opposite sides parallel and equal in length.  The opposite angles are equal.

x = 50



Angela is following this recipe to make biscuits.
Angela uses 3.37 of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
120 g margarine
150 g sugar
275 ml syrup
200 g oats
60 g sultanas


Answers

Answer:

150 G sugar. ⬅️CORECT ANSWER

To cover a distance of 240 km has to increase a speed of 5 per hour to reach in time time. If the time Lost was 40 minutes during traffic find the original speed

Answers

Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

r(s+t)=u

options:


t=u−s/r



t=u/r−s



t=u/r+s



t=ru−s

Answers

Answer:

t = u/r   -s

Step-by-step explanation:

r(s+t)=u

Divide each side by r

r/r(s+t)=u/r

s+t = u/r

Subtract s from each side

s+t-s = u/r  -s

t = u/r   -s

Given the coordinates for the function below which of the following are coordinates for its inverse

Answers

Answer:

Not sure but I believe it is A

Step-by-step explanation:

The coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

The correct answer is an option (B)

What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"It is a function that serves to “undo” another function.""The inverse function of y = f(x) is [tex]x=f^{-1}(y)[/tex]. "

For given question,

We have been given a function.

We need to find the coordinates of the inverse function.

We know, the coordinates of the inverse of a function obtained by interchanging the first and second elements of each pair.

So, the coordinates of the inverse function would be, ($0.08, $1.00),

($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

Therefore, the coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

The correct answer is an option (B)

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What should be added to both sides of this equation to solve for the variable?
-6 + f = 13

Answers

Answer:

Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas

Step-by-step explanation:

Answer:

1. 6 should be added to both sides

2. f=19

Step-by-step explanation:

When solving equations like this, we have to isolate the variable. To do this, perform the inverse operation to both sides of the equation.

-6+f=13

This can be rewritten as:

f-6=13

6 is being subtracted from f. In order to get f by itself, we have to get rid of the 6 being subtracted from f. The inverse of subtraction is addition. Add 6 to both sides.

f-6+6=13+6

f= 13+6

f=19

Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
Please help me answer this I'm currently taking the end of the year assessment right now!!

Answers

Answer:

2.5 hours

Step-by-step explanation:

To solve this question we can use the exponencial function:

P = Po * (1 + r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the time.

In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:

7 = 8 * (0.95)^t

0.95^t = 0.875

log(0.95^t) = log(0.875)

t * log(0.95) = -0.1335

t * (-0.0513) = -0.1335

t = -0.1335 / (-0.0513) = 2.6023 hours

Rounding to the nearest half-hour, we have t = 2.5 hours

Answer:

2.5

Step-by-step explanation:

I had this question and got it right

Verify which of the following are identities.

Answers

Answer:

Only the second equation is an identity

Step-by-step explanation:

1)

[tex]1+\dfrac{\cos^2\theta}{\cot^2\theta(1-\sin^2\theta)}= \\\\\\1+\dfrac{\cos^2\theta}{\cot^2\theta(\cos^2\theta)}= \\\\\\1+\dfrac{1}{\cot^2 \theta}= \\\\\\1+\tan^2\theta=\sec^2\theta\neq 2\sec^2 \theta[/tex]

This one is not an identity.

2)

[tex]19\cos \theta\left( \dfrac{1}{\cos \theta}-\dfrac{\tan \theta}{\csc \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1-\sin^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta \left( \dfrac{\cos^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta (\cos \theta)= \\\\\\19\cos^2 \theta = 19\cos^2 \theta[/tex]

This one is an identity. Therefore, only the second equation is an identity. Hope this helps!

Answer:

the person above me is right :)

Step-by-step explanation:

Put these in size order
5.6x10^-7
8.6x10^-9
5.6x10^-8

Answers

Answer:

Largest: [tex]5.6*10^{-7}[/tex]

Middle: [tex]5.6*10^{-8}[/tex]

Smallest: [tex]8.6*10^{-9}[/tex]

Step-by-step explanation:

Largest: [tex]5.6*10^{-7}[/tex] because -7 is the largest of the 3.

Middle: [tex]5.6*10^{-8}[/tex] because -8 is smaller than -7 but greater than -9

Smallest: [tex]8.6*10^{-9}[/tex] because -9 is the smallest of the 3

There are 350 Families lives in the small town of America. A poll of 50 families revealed the mean annual church contribution is $550 with the standard deviation of $ 75.Construct the 95% confidence interval for the mean annual contribution

Answers

Answer:

$550+/-$20.79

= ( $529.21, $570.79)

Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $550

Standard deviation r = $75

Number of samples n = 50

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

$550+/-1.96($75/√50)

$550+/-1.96($10.60660171779)

$550+/-$20.7889393668

$550+/-$20.79

= ( $529.21, $570.79)

Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)

For the Black Panther Trip 420 students were scheduled to go. After collecting more parent surveys, 15% more students are going on the trip. Each admission ticket cost $22.75. What was the total amount paid for all the tickets purchased?

Answers

Answer: $ 10,988.25

Step-by-step explanation:

Hi, to answer this question, first we have to multiply the original number of students scheduled to go to the trip (420) by the added students’ percentage (15%) in decimal form (divided by 100)

420 x (15/100) = 420 x 0.15 = 63 students added

Adding the number of extra students to the original number:

420+63 = 483 students (total number of students)

Finally, we have to multiply the result by the cost of each admission ticket (22.75)

483 x 22.75 = $ 10,988.25  

How many square inches are in 60 ft.

Answers

8640 square inches.

Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.

Answers

Answer:

Step-by-step explanation:

[tex]tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ[/tex]

Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

[tex]f(6)=-6 \\\\g(5)=-5\\\\4\cdot f(6)-6\cdot g(5)=\\\\-24+30=\\\\6[/tex]

Hope this helps!

Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Mia's test score (out of 50) if she got 3 questions wrong? What would be her score if she got xx questions wrong?

Answers

Answer:

25

Step-by-step explanation:

Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Mia's test score (out of 50) if she got 3 questions wrong? What would be her score if she got xx questions wrong?

Answer:

$38

$56

Step-by-step explanation:

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A hardware store is interested in reaching people who are characterized by the VALS system as being practical,down-to-earth,and self-sufficient who like to work with their hands,the ________ category.A) believersB) striversC) survivorsD) experiencersE) makers 4x+2y=10 5x+3y=12 solve the simultaneous question Why did Republicans begin to lose power in the 1870s?Check all of the boxes that apply.1.Their supporters opposed African American equality.2.Their supporters argued among themselves.3.They were opposed to Reconstruction.4.They were attacked for being corrupt. I need the answer please You acquire a network vulnerability-scanning tool and try it out on a network address segment belonging to people at your university of business. The scanner identifies one computer named Prince Hal that has many serious vulnerabilities. You deduce to whom the machine belongs. Explain the ethical implication of:________. a. telling the owner what you have found, b. telling you local administrator or security officer what you have found c. exploiting one of the relatively minor vulnerabilities to show the owner how serious the exposure is d. exploiting a relatively minor vulnerability as a prank without telling the owner, e. telling the owner what you have found and the demanding money for details on the vulnerabilities f. using one of the vulnerabilities to acquire control of the machine, downloading and installing patches and changing settings to address all the vulnerabilities, and never telling anyone what you have done. Sydney bikes 32 miles in 2 hours and 64 miles in 4 hours. He bikes at a constant rate. Which function gives the distance d that he travels in t hours?A. d= 64 tB. d= 32 tC. d= 16 tD. d = 8 t Find and of the function = ( ). A remote controlled plane accelerates to a velocity of 21.0 m/s while covering a distance of 87.4 m in 6.11 s. What was the plane's initial velocity? what was a negative result of the lousiana purchase Find the volume of the figure below. Round to the nearest tenth. Please help! Correct answer only!For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?$ ___ How does one take personal responsibility when choosing healthy eating options? Select three options.create a log of what one eats each day increase ones consumption of fast food critique ones diet for overall balance of key nutrientsidentify personal barriers that prevent an individual from making poor food choiceseat only what is shown on television advertisements What is another way to write 25 without using the multiplication sign? What is the slope of the line represented by the equation y + 3 = -4(x - 5)? Select the correct answer. Which situation indicates that an investor shouldnt sell his or her stocks? A. The price of the stock shows a negative trend, and the current stock price is lower than the investors purchase price. B. The price of the stock shows a negative trend, and the current stock price is higher than the investors purchase price. C. The price of the stock shows a positive trend, and the current stock price is lower than the investors purchase price. D. The price of the stock shows a positive trend, and the current stock price is the same as the investors purchase price. The metalloid that has three valence electrons is . Some colleges are selective because:A. they are located in metropolitan areas.B. they do not spend time reviewing applications as thoroughly.C. they have a high number of applicants and a limited number ofspots. D. only a small number of students apply to them. can someone please help me with this question ? URGERNT!!!PLS AT LEAST TAKE A LOOK!!! SHARE YO SMARTNESSS!! AND BLESS YOUR GRADES!Which sign explains the relationship between m1 and m2 in the diagram?A) not equal toB) >C) The volume of a cube depends on the length of its sides. This can be writtenin function notation as ws). What is the best interpretation of v(4) = 64?