Which is the completely factored form of 12x4 39x3 9x2? 3x2(x – 3)(4x – 1) 3x2(x 3)(4x 1) 3x(x 3)(4x 1) 3x(x – 3)(4x 1)

Answers

Answer 1

The completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)

How to factor the expression?

The polynomial expression is given as;

12x⁴ + 39x³ + 9x²

Factor out 3x² from the expression

3x²(4x² + 13x + 3)

Expand

3x²(4x² + 12x + x + 3)

Factorize the expression

3x² * 4x(x + 3) + 1(x + 3)

Factor out x + 3

3x²(4x + 1)(x + 3)

Hence, the completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)

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Related Questions

2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B² + BA – AB (d) A² - BA +B+ AB​

Answers

Correct option is C) A² - B² + BA – AB

Step-by-step explanation:

(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.

=A² + BA - AB - B²

And as matrix product is not commutative, so AB¦=¦BA

Hence option C is correct.

can someone please help me to work this out

Answers

Answer:

13.64 cm²

Step-by-step explanation:

Area of Trapezoid :

1/2 x (a + b) x ha and b = parallel side lengthsh = height

Solving :

1/2 x (5.2 + 3.6) x  3.11/2 x 8.8 x 3.14.4 x 3.113.64 cm²

Answer:

13.64 square centimeters

Step-by-step explanation:

Hey there!

The formula to finding the area of a trapezoid is:

1/2 (p + q) h

Where h is the height, p is the shorter base and q is the longer base

In this case

p - 3.6

q - 5.2

h - 3.1

1/2 (3.6 + 5.2) 3.1

1/2 (8.8) 3.1

(4.4) 3.1 --> 4.4 x 3.1

13.64

So, the area of this trapezoid is 13.64 square centimeters

What is the point-slope form of a line with slope -5 that contains the point
a
(2,-1)?

Answers

The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

What is point slope form?

The point slope  form of a line is the expression of line which has a specified slope and passes through a point.

The point slope form is givne as,

(y-y₁)=m(x-x₁)

Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.

The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,

(y-y₁)=m(x-x₁)

(y-(-1))=-5(x-2)

(y+1)=-5(x-2)

Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

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Mr smith has 28 children if he wants 2 give 2 sweets to his class how many sweets

Answers

Answer:

56

Step-by-step explanation:

If each child gets 2 sweets then we have to multiply the number of children by 2.

[tex]28 \times 2 = 56[/tex]

Answer:

30 sweets.

Add 28 and 2.

The radius of a circle is 2 inches. What is the circle's circumference?
r=2 in
Use 3.14 for pie

Answers

Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

PLEASE HELP 50 POINTS
Which of the following is a solution of y + x < -5?

(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)

Answers

Answer: The 4th option= -1, -3

Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4

Now we know that -4 is greater than -5.

Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.

Thanks.

Solve this problem and get 15 points ​

Answers

d. 32.6°

explanation:

tan(×)= 0.6396

tan(x)= 0.6396/1000

tan(×)= 1599/2500

(×)= arctan (1599/2500)

(×)≈ 0.569029 or 32.6°

The graphs of f(x) and g(x) are shown below:

If f(x) = (x + 7)2, which of the following is g(x) based on the translation?

g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2

Answers

Answer:

A. g(x)=(x+9)^2

Step-by-step explanation:

if it’s plus inside the parentheses it’s goes left and if it’s - it’s right

Hope this helps! ;-)

How do I find the domain range and function of the graph

Answers

Answer:

  D = {-3, -2, -1, 1, 4}

  R = {-5, -1, 0, 2}

Step-by-step explanation:

You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.

__

The domain is the set of x-values of the points on the graph:

  D = {-3, -2, -1, 1, 4}

The range is the set of (unique) y-values of the points on the graph:

  R = {-5, -1, 0, 2}

The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.

Answers

Original value =£120000
Increased value=192000-120000=72000
%increased = (72000/120000)*100%=60%
Answer is 60% increase

There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four?.

Answers

This Is A Combination Question Solved Below

Find the perimeter of the triangle.
20 ft
21 ft

Answers

Answer:

29 feet

Step-by-step explanation:

20^2 + 21^2 = 841

841sqrt = 29 feet

#81 will gove brainliest to best answer ​

Answers

To solve this problem, we need to factor both

 ⇒ numerator: [tex]x^2-4x+4[/tex]

 ⇒ denominator: [tex]x^2-4[/tex]

Let's factor:

 ⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]

 ⇒ [tex]x^2-4=(x+2)(x-2)[/tex]

Let's put it back into the fraction:

[tex]\frac{x^2-4x+4}{x^2-4}=\frac{(x-2)(x-2)}{(x+2)(x-2)} =\frac{x-2}{x+2}*\frac{x-2}{x-2} =\frac{x-2}{x+2} *1=\frac{x-2}{x+2}[/tex]

Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]

Answer:

[tex]\frac{x-2}{x+2}[/tex]

Step-by-step explanation:

First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].

Hope this helps! :)

What is the total of the new purchases Jessica made during the month?
A.
$123.09
B.
$125.00
C.
$210.30
D.
$210.52

Answers

D would be the answer 210.52

Solve the equation for x. Do not include "x =" in your answer.
-3+√3x-11=5
Help pls

Answers

The value of x in the equation is 25

How to solve for x?

The equation is given as;

[tex]-3 + \sqrt{3x - 11} = 5[/tex]

Add 3 to both sides

[tex]\sqrt{3x - 11} = 8[/tex]

Take the square of both sides

3x- 11 = 64

Add 11 to both sides

3x = 75

Divide both sides by 3

x = 25

Hence, the value of x in the equation is 25

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I need help me with math homework please .?

Answers

[tex]x = 5 \\ y = 4 \\ m = \frac{1}{5} [/tex]

y= mx+b

[tex]4 = ( \frac{1}{5} \times( 5) )+ b \\ 4 = 1 + b \\ 4 - 1 = b \\ 3 = b \\ y = \frac{1}{5} x + 3[/tex]

Answer:

y = 1/5x + 3

Step-by-step explanation:

Which triangle congurence theorem proves that ABD ≈ CBD?

AAS
SAS
HL
CPCTC​

Answers

Answer:

AAS

Step-by-step explanation:

the ansewer

Find the median and mean of the data set below:
3,40,15,28
3,40,15,28

Answers

Answer:

21.5

Step-by-step explanation:

Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5

Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5


You roll a number cube twenty times and it lands on a 3 five times. What is the
experimental probability that it ends on a 3 the next time you roll?

Answers

Answer:

Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16

Step-by-step explanation:

Pleaseee help mee!!!

Answers

Answer:

down shift 90

Step-by-step explanation:

-90 will shift the graph down 90 units

Down shift 90 Jdjxnxjdnidenjd


DUE SOON PLEASE HELP

Kayla has some colored marbles that are the same size and shape. Use
the information below to determine which is closest to the probability
that Kayla will randomly select a marble that is NOT red, replace it, then
randomly select a marble that is yellow?
.
The probability of randomly selecting a red marble is 30%.
The probability of randomly selecting a yellow marble is 13%.

9%
26%
4%
61%

Answers

Answer:

9% sry if im wrong

Step-by-step explanation:

Kayla has some colored marbles that are the same size and shape. Use

the information below to determine which is closest to the probability

that Kayla will randomly select a marble that is not red, replace it, then

randomly select a marble that is yellow?

The probability of randomly selecting a red marble is 30%.

The probability of randomly selecting a yellow marble is 13%

A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria

Answers

if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so

[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]

[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]

There are six people on a bus. This is in total. At the first stop, eight more people get on. At the second, four get on and two hop off. At the third stop, the bus becomes practically full as 15 passengers get on. Four get off. At the last stop, 8 people get off. How many people are on the bus?

Just a fun problem for you :D
P.S. Answer it correctly ;)

Answers

Answer:

This was a nice way to spend my time :) how'd I do?

Step-by-step explanation:

Total: 6

1. +8

After stop 1, total is 14 people

2. +4, -2

After stop 2, total is 16 people

3. +15, -4

After stop 3, the total is 27 people

4. -8

Total # of people on the bus: 19

(A little voice in the back of my mind is telling me that I overthought this entire problem, and that the answer is just 6)

I chose B as an answer but I’m not sure

Answers

Answer:

hy the answer is C. a car maintained constant speed

Answer:

c.A car maintained constant speed

Step-by-step explanation:

according to the graph,velociry is always in a straight line over time.

so the velocity is constant

so A car maintaned constant speed

Watch help video
Find an expression which represents the sum of (x – 2y) and (-10x + 6y) in
simplest terms.
+
a

Answers

Answer:

-9x + 4y

Step-by-step explanation:

Adding expressions:

     Like terms have same variable with same power.Combine like terms.

Here, x and (-10x) are like terms &

         (-2y) and 6y are like terms

x - 2y + (-10x + 6y) = x - 2y - 10x + 6y

                              = x - 10x - 2y + 6y

                               = -9x + 4y

Find the volume of a cone with the base of 10 and height of 6

Answers

Answer:

Answer = 157

Step-by-step explanation:

The formula to finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the base is 10. This means that the radius is 5 because it is 1/2 of the base. Now we plug in our numbers into the equation and get 157!

Hope that helps! :)

please help me solve this

Answers

Answer:

i actually don't know

Step-by-step explanation:

One winter day, the temperature at noon was -9f The temperature then rose by ​1/2 degree each hour for 3 hours before dropping by 2 1/4 degrees each hour for 2 hours. What was the temperature, in degrees Fahrenheit, at 5 PM?

Answers

Answer:

The temperature at 5 PM was - 12°F

Step-by-step explanation:

One winter day, the temperature at noon was -9°F.

The temperature then rose by ​1/2 degree each hour for 3 hours:

1/2 × 3 = 3/2 = 1 1/2

The temperature then dropped by 2 1/4 degrees each hour for 2 hours:

- 2 1/4 × 2 = - 4 2/4 = - 4 1/2

Now add up all three values to find the final value:

- 9 + 1 1/2 - 4 1/2 = - 9 + 1 - 4 = - 12

Make g the subject of the formula [tex]w=7-\sqrt{g}[/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{g}[/tex] = 7-w

([tex]\sqrt{g}[/tex] )^2 = (7-w)^2

g = (7-w)^2

can someone please help me solve these math problems they are about triangle proofs

Answers

Answer:

Besides the givens:

12.

AC = EC, BC = DC; Definition of Midpoint

<ACB = <ECD; Vertical Angles Theorem

Triangle ABC = Triangle EDC; SAS Congruence Postulate

13.

AD = CD; Definition of Median

BD = BD; Reflexive Property

Triangle ABD = Triangle CBD; SSS Postulate

Step-by-step explanation:

None necessary.

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