factor the polynomial
4x^2 + 12 + 9

Answers

Answer 1

Answer:

The answer is [tex](2x+3)^2[/tex].

Step-by-step explanation:

Multiply the coefficient of the squared term and the constant. Then, find the factors that add up to 12:

[tex]4*9=36\\36:\{1*36,2*18,3*12,4*9,6*6\}\\6+6=12[/tex]

Split the middle term:

[tex]4x^2+6x+6x+9[/tex]

Factor by grouping:

[tex][4x^2+6x]+[6x+9]\\2x(2x+3)+3(2x+3)\\(2x+3)(2x+3)\\(2x+3)^2[/tex]


Related Questions

Oel visits a department store to pick a pack of salted mixed nuts. A pack of 15 oz. Is priced at $7.50 and the offer on a pack containing 25 oz. Is $11.75. Which pack is the better buy

Answers

The 24 ounce one ig because if you divide 7.50 by 15 you’ll find out that it’s 0.50€ per ounce. You’re saving money and getting more for the 25 pack because it should originally be $12.50 but they are giving you 10 more ounces for just $11.75

Which could be the measures of the interior angles of a triangle?

A. 50°, 45°, 45°

B. 60°, 60°, 60°

C. 70°, 70°, 70°

D. 80°, 55°, 25°

Answers

Answer:

B. 60°, 60°, 60°

Step-by-step explanation:

All triangle angles add up to 180

A) NOPE

50 + 45 + 45 = 140

B) YUP

60 + 60 + 60 = 180

C) NOPE

70 + 70 + 70 = 210

D) NOPE

80 + 55 + 25 = 160

What is the circumference of the following circle when diameter = 9 cm

Answers

Answer:

The answer is C≈28.27cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433cm

Answer:

diameter of 9

radius 4.5

4.5 x 3.14= 14.13

ignore this- the other person got it right. I messed up and can't delete it. Sorry!

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970 y en 2001 se incrementó 2,25 veces en relación a 1988. ¿Cuántos habitantes había en el año 2001?

Answers

Answer:

En 2001 el pueblo poseía 45.826 habitantes.

Step-by-step explanation:

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:

13.578*1,5= 20.367

Por lo que en 1988 el pueblo poseía 20.367 habitantes.

En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:

20.367* 2,25= 45.825,75≅ 45.826

Por lo que en 2001 el pueblo poseía 45.826 habitantes.

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272

Answers

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

Answer:

b on edg

Step-by-step explanation:

HELP MEEEE PLEASEEEE ILL GIVE BRAINLIEST

Answers

Answer:350 adult tickets

Step-by-step explanation:752-52=700. Because there were 52 MORE student tickets than adult we have to divide 700. 700÷2=350.

Can someone please answer this for me.

Answers

Answer:

[tex]\huge\boxed{\sf Slope = \frac{9}{7}}[/tex]

Step-by-step explanation:

The top and bottom points of the line are

(3,0) and (10,9)

[tex](x_1,y_1) = (3,0)\\\\(x_2,y_2) = (10,9)[/tex]

So,

[tex]\sf Slope = \frac{y_2-y_1}{x_2-x_1}\\\\Slope = \frac{9-0}{10-3} \\\\\boxed{\sf Slope = \frac{9}{7} }\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

PLEASE HELP ME GIVING BRAINLEST AND NO LINKS!!!

Answers

Answer:

1.)280 2.)142.5 3.)30

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

It’s B Ps U gottttt thisssss

Pratibha spends 5 3/4 hours in school. He spends 4 1/4 hours for classes and 3/4 hours for lunch break. She spends the remaining time on sports. How much time does she spend on sports?

Answers

Answer:

13 hours and 15 minutes of her day are spent on sports if she doesn't sleep.

Step-by-step explanation:

a dozen exercise books cause $840.what is the cost of four of the same exercise book
280

200

300

260​

Answers

280 because 840 divided by 12 ( a dozen) is 70. So 70 times 4 books equals 280. Lmk if I’m wrong:)

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{C \: O \: R\: R \: E \: C \: T \: I \: O \: N}}} }: [/tex]

Dozen of exercise books costs $ 840. What is the cost of four of the same exercise book ?

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\:E \: N}}} }: [/tex]

Cost of dozen of exercise books [ 12 exercise books ] = $ 840

✧ [tex] \underline{ \underline{ \large{ \tt{T \: O \: F \: I \: N \: D}}}} : [/tex]

Cost of four of the same exercise books

✎ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]

Firstly , Find the cost of 1 exercise book

[tex] \text{Cost \: of \: 1 \: exercise \: book }= \tt{ \frac{840}{12} = \$ \: 70 }[/tex]

Find the cost of 4 exercise books

[tex] \text{Cost \: of \: 4 \: exercise \: books} = \tt{ \$70 \times 4} = \boxed{ \tt{ \$280}}[/tex]

[tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{ \$ \: 280}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night !ツ

Let me know if have any questions regarding my answer! ♪

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

please help, find the area​

Answers

Answer:

26 units^2

Step-by-step explanation:

You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.

Triangle 1 = 1/2(2 x 7) = 7

Triangle 2 = 1/2(2 x 7) = 7

Triangle 3 = 1/2(2 x 6) = 6

Triangle 4 = 1/2(2 x 6) = 6

Total Area                   = 26

The area of the kite is 26 units^2

What would x equal( rounded to the nearest tenth)

Answers

You are given the opposite: 16 km
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km
8.5 i think cause i used tan but i haven’t done this in a while

What is the value of |-8|

Answers

Answer: 8

Step-by-step explanation:

The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.

More examples: |9|=9

Have a nice day! :D

Does anyone know this cause I need to understand how to do this.

Answers

Answer:

Triangle TSR

Step-by-step explanation:

This triangle is congruent to triangle FED because 3 angles and 3 sides You start with D because angle F is congruent to angle D

i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE

Answers

Answer:

B is twice the size of A, so the ratio would be 2:1.

Step-by-step explanation:

Write an equation of a line in slope intercept form that passes through (6,5) 1 poi
and is parallel to y =-X+4 *

Answers

Answer:

y = -x + 11

Step-by-step explanation:

The slope of the line y = -x + 4 is -1.

So the slope of our line is also -1 ( because they are parallel).

First use the point-slope form of the equation of a line:

y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line.

Here m = -1 and (x1, y1) = (6, 5).

So we have:

y - 5 = -1(x - 6)

y - 5 = -x + 6

y = -x + 11  <------ Slope intercept form.

please help i will mark branliest

Answers

Answer:

The correct answer is D

Step-by-step explanation:

40% of 13 is 5.2 and they only raised 4 punishment that are 96 inches

which are not the length of sides of a right​

Answers

Answer:

D.

Step-by-step explanation:

all numbers except d are pythagorean triples, hope this helps!!

I’m pretty sure it’s b

HELP FAST THIS 6TH GRADE MATH!

Answers

Answer:

Fraction = 1/10

Decimal = 0.1

Step-by-step explanation:

If this is 6th grade, why did you put it under high school?(Just curious)

2x and 3x are like terms



Answers

The x just represents the variables

PLZ HELP IF ITS CORRECT I WILL MARK U BRAINLIEST

Answers

Answer:

The answer is 45

Step-by-step explanation:

First, you find what is half of 30 by dividing 30 by 2

30/2 = 15

Then you add 15 to 30 since you have to increase it by 1/2

30 + 15 = 45

I hope this helped and have a great day!

The correct answer is 45

Complete the equations below.

Answers

Answer:

3.64 ÷ 7 = 364 hundredths ÷ 7

3.64 ÷ 7 = 52 hundredths

3.64 ÷ 7 = 0.52

Step-by-step explanation:

The Garcia’s bought a washing machine for $435 and a clothes dryer for $395 bath prices include tax to deliver these items the store charges $10 plus $2 per mile if the Garcia’s live 15 miles from th store what is their total bill?

Answers

Answer:

870

Step-by-step explanation:

$435 + $395 = $830

$830 + $10 = $840

$2 x 15 = $30

$840 + $30 = $870

GiVing
brains!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which expression has a value of 13?


(20 ÷ 4) − 4 + 3 x 2

(18 ÷ 2) + 6 ÷ 6 + 3

(16 ÷ 4) + 3 x 4 − 1

(10 ÷ 2) − 3 + 4 x 2

Answers

(18/2)+6/6+3

Step-by-step explanation:

(18/2)=9

6/6=1

9+1=10

10+3=13

Use PEMDAS

Lauryn wants to analyze the weights of
the dogs for people that own that animal
in her class. She records the following
weights in a class survey:
28, 61, 17, 42, 37, 37, 22, 40, 13, 14, 33,
41, 25
What is the median of the data?

Answers

Answer: 33

If you put all the numbers In order from least to greatest and find the middle number you'll get the answer

is 120.4 hundredths or ones or tens or hundreds

Answers

Answer:

Not sure what you're asking but 120.4 is

one hundred

two tens

and four tenths

$1500 at 4% for 5 years
Find the interest earned

Answers

Answer:

I=$300

Step-by-step explanation:

P=1500

r=4%=0.04

t=5 years

I=p*r*t

I=1500*0.04*5

I=300

Please help.
Four players from the NBA and their career 3-point percentage are listed below. 3-point percentage is calculated by dividing the number of 3-pointers the player makes by the number of 3-pointers he attempts. If Steph Curry attempted 25 3-pointers in his last game, how many can we assume he made?

Answers

Answer:

We can assume that the number of 3-pointers he made in his last game was 10 3-pointers

Step-by-step explanation:

In the question, we have;

The 3-point percentage rate for Stephen Curry = 43.5 successful made out of 100 attempts

The 3-point percentage rate for LeBron James = 34.5 successful made out of 100 attempts

The 3-point percentage rate for James Harden = 36.4 successful made out of 100 attempts

Whereby Steph Curry attempted 25 3-pointers in the last game he played and where 'x' represents the number of 3-pointers we can assume he made, we have;

x = 43.5% of 25

[tex]\therefore x = \dfrac{43.5}{100} \times 25 = 10.875[/tex]

Given that 'x' can only have whole number values, and the 3-point percentage is calculated using a larger number of attempts than 25, we can assume he made 10 3-pointers in his last game

The 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.

It is given that the four players from the NBA and their career 3-point percentages are listed below in the table

It is required to find the number of 3 pointers he made if Steph Curry attempted 25 3-pointers in his last game.

What is percentage?

It is defined as the ratio or number presented as fraction of 100, the symbol of percentage is %.

We have in the question that:

The 3-point percentage rate for Stephen Curry is 43.5% out of 100 attempts.

We know that,

[tex]\rm 3-point \ percentage = \frac{Number \ of \ 3-pointers}{Number \ of \ 3-pointers \ attempts} \\[/tex]

3 - point percentage for Stephen Curry = 43.5%

Number of 3-pointers he attempts = 25

Putting these values in the above formula, we get:

[tex]\rm 43.5 \%=\frac{Number \ of \ 3-pointers}{25} \\\\\rm \frac{43.5}{100} \times25 = Number \ of \ 3-pointers\\\\\rm Or \ number \ of \ 3-pointers = 10.875[/tex]

But the number of 3-pointers can be a whole number, so we can assume that the 3-pointers is 10.

Thus, the 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.

Learn more about three pointer here:

https://brainly.com/question/519034

someone answer this!!!! Please:)

Answers

3+(5+4)(8-6)

3+(9)(2)

3+18

21

the value of the expression would be 54


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