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

Damon measured his bedroom and the length measured 5.6 meters. Given that I meter = 3.28 feet, what is the length of Damon's room in feet? Ο Α. 0.59 feet о В. 1.47 feet O C. 5.6 feet D. 18.37 feet​

Answers

Answer:

D) 18.37 feet

Step-by-step explanation:

5.6 x 3.28 = 18.37 feet

The measures of two angles are 4x° and (2x + 12)°. What is the measure of the each angle if x = 13

Answers

Answer:

4x° if x=13

4(13)= 52°

2x+12 if x=13

2(13)+13= 38°

What is the volume of the prism?



Enter your answer in the box as a mixed number in simplest form.



ft³
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$$x\frac{ }{ }$$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$

A rectangular prism with the width as three and a half feet, the length as two and a half feet and the height as one and a half feet.

Answers

Answer: 17 1/2 or 17.5 (If u want it in decimal)

Equation: 3 1/2 x 1 1/2 x 2 1/2 = 3/2 x 7/2 x 5/2 = 105/6 = 17 3/6 = 17 1/2

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=27°, and WU = 9.7 feet. Find the length of VW to the nearest tenth of a foot.

Answers

Answer:

4.9 feet

Step-by-step explanation:

Find the perimeter of the given figure, help please!

Answers

Answer:

22.5 cm

Step-by-step explanation:

P=2(6.75)+2(4.5)

P=13.5+9

Help? cant seem to figure this out. Appreciate it!

Answers

Answer:

327 cm²

Step-by-step explanation:

The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then

SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)

     = (2 ×76) + (2 × 40) + (2 × 47.5)

     = 152 + 80 + 95

     = 327 cm²

Answer:

Step-by-step explanation:

SA = 2B + LA         B = area of base        LA = lateral area

B = area of the rectangle with length of 9.5 and width of 5

  = 9.5(5) = 47.5

LA = perimeter of base times the height

    = [2(9.5) + 2(5)] (8)

    = (19 + 10)(8)

    = 29(8)

    = 232

SA = SA = 2B + LA  = 2(47.5) + 232

     = 95 + 232

     = 327 sq cm

help
Santino pays $52.65 for twenty-seven 15-count boxes of granola bars. How much does 1 box of
granola bars cost?

Answers

Answer:

$1.95

Explanation:

Divide $52.65 by 27 to find the cost of each box.

find the area of the shape (round to nearest tenth if necessary )

Answers

Answer:

still

Step-by-step explanation:

still thinking sorry

After sally picked 2 kiwis, she wanted to share them with her fellow classmates. If Sally wants to give 2/3 of a kiwi to each of her classmates, then how many classmates will get some kiwi?

Answers

Answer:

3 classmates will get some kiwi

Step-by-step explanation:

Your answer is 3.

2 divided by 2/3 = 3
When you divide by a fraction, you flip it upside down & multiply.
So it would be 2 x 3/2
2 x 3 = 6, divided by 2 is 3.

What is the slope of the line that passes through the points (-10, -8) and
(-8, -16)? Write your answer in simplest form.

Answers

first of all we have to find the slope


m = y₂-y₁ / x₂-x₁

m = -8 + 16 / -10 + 8

m = 8/-2

m = -4

y-y₁ = m (x-x₁)

y + 8 = -4 (x + 10)

y + 8 = -4x - 40

y = -4x -40 - 8

y = -4x -48

PLS NEED HELP DON'T UNDERSTAND ONE PART

Answers

Answer:

Step-by-step explanation:

Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees

Answer = 1800 degrees

Hope that helps!

Answer: .

Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.

Expanding a garden. The dimensions are 25 feet by 25 feet. I bought 10 cubic yards of soil. How many inches thick will the new dirt cover

Answers

Answer:

The thickness of the new dirt cover is 0.144 yards.

Step-by-step explanation:

Dimension of garden = 25 feet by 25 feet.

Volume of soil bought = 10 cubic yards

Volume = length x width x height

But,

1 foot = 0.333333 yard

So that,

25 feet = 25 x 0.333333

            = 8.33333 yards

The new dimension of the garden = 8.33333 yards by 8.33333  yards.

Let the thickness of the new dirt cover be represented by h.

Thus,

Volume = 8.33333 x 8.33333 x h

10 = 69.44439 x h

h = [tex]\frac{10}{69.44439}[/tex]

  = 0.144

h = 0.144 yards

The thickness of the new dirt cover is 0.144 yards.

Which expression is equivalent to 4(x-3) ?
Group of answer choices

x-12

4x-12

4x-3

12x

Answers

Answer:

To find the answer you just have to solve 4(x-3)

Step-by-step explanation:

4(x-3)=4x-12

So B or 4x-12 is correct.

Can someone please help me

Answers

9514 1404 393

Answer:

  f(x) = 3x³ +6x² -3x -6

Step-by-step explanation:

Each x-intercept (x=p) gives rise to a factor (x-p), so the factored form of the function is ...

  f(x) = a(x -(-2))(x -(-1))(x -1)

The value of 'a' is chosen to make the y-intercept match that shown. The function just written has ...

  f(0) = -6 = a(2)(1)(-1)

  -6 = -2a

  a = 3 . . . . . divide by -2

So, the function in factored form is ...

  f(x) = 3(x +2)(x +1)(x -1)

Expanded, this is ...

  f(x) = 3x³ +6x² -3x -6

Jayden buys stickers for $2 each and marks up the price by 55%. How much profit does Jayden make from each sticker sold?

Answers

Answer:

$1.1 profit

Step-by-step explanation:

100% plus 55% profit = 1.55

2 x 1.55 =3.1

3.1-2=1.1

Write the equation of the line that passes through the points (8,5) and (-8,-5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

x 8 skeiehrieheodbdoeneorbro

Answer:

y-5=5/8(x-8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-5)/(-8-8)

m=-10/-16

simplify

m=5/8

y-y1=m(x-x1)

y-5=5/8(x-8)

A company car is valued at $28,000 and will depreciate by
$2,000 each year. How many years will it take for the car to.
have no value ($0).

Answers

Answer:

14 years

Step-by-step explanation:

If the value of the car is $28,000 and each year the value goes down by $2,000 it will be $0 in 14 years. 28/2=14

How do I change my level? It says I am in high school but I am only in middle school.

Answers

Answer:

go on your profile ---> edit profile----> preferences

Step-by-step explanation:

Guys im a not the smartest fifth grader and i need help pls help me my question is 5/6 divided by 1/3

Answers

the answer should be 5/2

Answer:

When dividing fractions, you keep the first fraction the same, change the problem into a multiplication problem, and flip the second fraction.

5/6 x 3/1 = 15/6 = 2 3/6

Step-by-step explanation:


The lines represented by the equations y = –2 – 9 and y – = 2 are

Answers

Answer:

i dont know if its a typo but here

Step-by-step explanation:

PLZ HELP ME ASAP PLZ PLZ WILL GIVE BRAINLEST

Answers

Answer:

25.13

Step-by-step explanation:

To find the diameter C = 2 π x r

Please help me with this

Answers

Answer:the answer would also be 20 degrees

Step-by-step explanation:

because its exaclty across from the angle!!!!!

Answer:

20 degrees

Step-by-step explanation

they are opposite angles

A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?

Answers

Answer:

4 minutes

Step-by-step explanation:

160/40 = 4  

Answer:

Step-by-step explanation:

40

h

Explanation:

We're asked to find the time it takes an object (bird) to travel

1800

km

at a constant speed of

45

km/h

.

We have our simplified speed equation:

speed

=

distance

time

Rearranging for time:

time

=

distance

speed

We're given:

speed

=

45

km/h

distance

=

1800

km

Plugging these in:

time

=

1800

km

45

km

h

=

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

40

l

h

−−−−−−−−−

The journey will take

40

l

hours

.

PLEASE I NEED HELP ASAP
In diagram triangle PQV and triangle WXY . What is length of XY

Answers

Answer:

:(

Step-by-step explanation:

idek

I think this is the answer

PLEASE HELP I GIVE BRAINLIEST

Answers

You have it right already

Simplify the expression. Enter the answer in the box.
2
3- +
-7
2
= 3+(-7)+ +
5
=

Answers

Answer:

-19/5

Step-by-step explanation:

3-7+2/5-1/5

⇒-4+1/5

⇒-20+1/5

answer⇒-19/5

hope it helps

Help!! I have 55 seconds to do this

Answers

Answer:

the answer is A

Step-by-step explanation:

78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer

PLEASE HELP What is the y intercept of this line?

Answers

Answer:

I'm pretty positive its (0, 0)

The answer has got to be (0,0)

Which of the following is a solution to the inequality y>3x−9 ? (Select all that apply)

Answers

Answer:

necesitas pensar profesor porque todavía no entiendo bien si quieres

Answer:

the answer

Step-by-step explanation:

y=77 since I am smart

JLK ~ PQR Find the value of x.

Answers

Answer:

12

Step-by-step explanation:

if their similar then find the proportion with a cross multiplication equation

x/36 = 13/39

x*39 = 36*13

39x = 468

x = 468/39

x = 12

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{JL}{PQ}[/tex] = [tex]\frac{JK}{PR}[/tex] , substitute values

[tex]\frac{x}{36}[/tex] = [tex]\frac{15}{45}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3x = 36 ( divide both sides by 3 )

x = 12

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