Which is the completely factored form of 4x3 + 10x2 – 6x?

2(x + 3)(2x – 1)
2x(x + 3)(2x – 1)
2x(x – 3)(2x – 1)
2(x – 3)(2x + 1)

Answers

Answer 1

Answer:

B. 2x(x + 3)(2x – 1)

Step-by-step explanation:

A. 2(x + 3)(2x – 1)

= (2x + 6)(2x - 1)

= 4x² - 2x + 12x - 6

= 4x² + 10x - 6

B. 2x(x + 3)(2x – 1)

= (2x² + 6x)(2x - 1)

= 4x³ - 2x² + 12x² - 6x

= 4x³ + 10x² - 6x

C. 2x(x – 3)(2x – 1)

= (2x² - 6x)(2x - 1)

= 4x³ - 2x² - 12x² + 6x

= 4x³ - 14x² + 6x

D. 2(x – 3)(2x + 1)

= (2x - 6)(2x + 1)

= 4x² + 2x - 12x - 6

= 4x² - 10x - 6

The completely factored form of 4x3 + 10x2 – 6x is 2x(x + 3)(2x – 1)

Answer 2

Answer:

The correct answer is B: 2x(x+3)(2x-1)

Step-by-step explanation:

I got it right on the quiz.


Related Questions

What number lies halfway between -2 and -1?

Answers

Answer:

-1.5

Step-by-step explanation:

IM BEGGING PLEASE HELP One angle of the triangle is 30% larger than the other and 36 ° smaller than the third. Find the angles of the triangle.

Answers

9514 1404 393

Answer:

  52°, 40°, 88°

Step-by-step explanation:

Let x represent "one angle". This is 30% larger than "the other", so we have ...

  x = "the other" × (1 +30%)

  x/1.30 = "the other"

If x is 36° smaller than the third, then the third is x+36.

__

The sum of the angles is 180°.

  x + x/1.3 + (x +36) = 180

  x(2 +1/1.3) = 144

  x = 144/(2 +1/1.3) = 52

  x/1.3 = 52/1.3 = 40

  x +36 = 88

The angles of the triangle are 52°, 40°, and 88°.

A line passes through the point (-1, -2) and has a slope of 5.

Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

Which best describes the relationship between association and causation?​

Answers

Answer:the existence of an association does not empty a causation

Step-by-step explanation:

a direct casual link cannot be inferred the association merely suggests a hypothesis such as a commom cause but does not offer proof

A rectangle is 14 inches long and 6 inches wide. Find its area. A 78 square inches B 20 square inches C 84 square inches D 26 square inches​

Answers

Answer 34 square inches

Step-by-step explanation 2+2+2+4+4+9+9

A 60$ purse is on sale for 10% give the sell price

Answers

Answer:$54

Step-by-step explanation:

60(0.9) = $54

answer:

$54

step-by-step explanation:

sale means a decrease from the original amountsince there is a sale of 10%, we would multiply by 90% since we are trying to find the sale price

60 X 90% - - > 60 X 0.90

you can convert 90% into 0.90 so it is easier to multiply

60 X 0.90 = 54

= $54

five out of 12 apple trees in a small orchid are taller than 9 ft what is the decimal equivalent of the number of apple trees taller than 9 ft​

Answers

5/12 = .41666666666666666666

Could anyone help me with this question? Thank you!

Answers

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]

First, we can factor both the numerator and the denominator. This yields:

[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]

Cancel like terms:

[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

[tex](n^2-2)(n^2-5)=0[/tex]

Solve for n. By the zero product property:

[tex]n^2-2=0\text{ and } n^2-5=0[/tex]

Therefore:

[tex]n^2=2\text{ and } n^2=5[/tex]

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]

Therefore, our fully simplified expression is:

[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]

Hence, our answer is C!

List the four reasons given by governments for determining how to use land in the interest of the public.

pls help me

Answers

Answer: health, safety, morals and general welfare.

Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.  

(PLEASE MARK BRAINLIEST)

what microsofttamurchen said

Step-by-step explanation:

GIVE THEM BRAINLIEST !!

Add the polynomials :)

Answers

Answer:

4x^3+6x^2-15x+6

Step-by-step explanation:

Answer:

[tex]4x^2 + 6x^2 - 15x + 5[/tex]

Step-by-step explanation:

Hello!

We can add like terms.

The terms that we see here are [tex]x^3, x^2, x,[/tex] and integer values.

We can combine like terms by adding the coefficients.

Add[tex](6x^2 - 9x + 6)+(4x^3 - 6x)[/tex][tex]6x^2 - 9x + 6 + 4x^3 - 6x[/tex][tex]4x^3 + 6x^2 - 9x - 6x + 6[/tex][tex]4x^2 + 6x^2 - 15x + 5[/tex]

Order: Highest degree to lowest degree. The final expression is [tex]4x^2 + 6x^2 - 15x + 5[/tex]

which lines are parallel or perpendicular? line A:(-4,-1)(2,-2)line B:(-5,-3)(5,1) line C:(-2,-3)(2,-1)​

Answers

Answer:

none of the lines are parallel or perpendicular to each other

Step-by-step explanation:

which lines are parallel or perpendicular? line A:(-4,-1)(2,-2)line B:(-5,-3)(5,1) line C:(-2,-3)(2,-1)​

in order to know which lines are parallel or perpendicular, we need to find the slopes of the lines given

Slope M  = y2-y1/x2-x1

For line A;

Ma = -2+1/2+4

Ma = -1/6

Slope of line A is -1/6

For line B;

Mb = 1 -(-3)/5-(-5)

Mb = 1+3/5+5

Mb = 4/10

Mb = 2/5

The slope pf line B is 2/5

For line C;

Mc = -1-(-3)/2-(-2)

Mc = -1+3/2+2

Mc = 2/4

Mc = 1/2

Hence the slope of line C is 1/2

Since all the slopes are different , hence none of the lines are parallel or perpendicular

convert y=x^2-4x+5 to vertex form by completing the square

Answers

Answer:

The vertex form will be:

[tex]y(x)=(x-2)^{2}+1[/tex]

Step-by-step explanation:

The equation of the vertex form of a quadratic equation is given by:

[tex]y(x)=a(x-h)^{2}+k[/tex]

Where:

a is a coefficient

h is the x value of the vertex

k is the y value of the vertex

To completing the square we just need to add and subtract the square of the term with x divided by 2.

[tex]y(x)=x^{2}-4x+(\frac{4}{2})^{2}-(\frac{4}{2})^{2}+5[/tex]

[tex]y(x)=x^{2}-4x+4-4+5[/tex]

[tex]y(x)=(x-2)^{2}-4+5[/tex]

Finally, the vertex form will be:

[tex]y(x)=(x-2)^{2}+1[/tex]

I hope it helps you!

what is multimedia? explain various types of multimedia.​

Answers

Answer:

multi media is the computer system that has graphics, animation, text, video , etc

The sum of numbers is 28. the difference of two numbers is -2. find the numbers​

Answers

I believe 15 and 13. 13-15=-2 and added is 28....?

Answer:

x=13 and y=15

Step-by-step explanation:

Let the 2 numbers be x and y

ATQ,

x+y = 28 ------ eqn.1

x-y=-2 -------- eqn.2

Adding both the equations:

x+y=28

+x-y=-2

_______

2x = 26

Therefore x=13

Now substituting the value of x in eqn. 1

x+y=28

13+y=28

Therefore y=28-13

=15

Help me with this!!!

Answers

Answer:

The coordinate of the midpoint is -2 1/2.

Step-by-step explanation:

Think of "midpoint" as "average" in this problem.  The average of the endpoints -10 and 5 is (-10 + 5)/2, or -5/2, or -2 1/2

Determine the value of theta, to the nearest degree. Please show work.

Answers

Answer:

∅ = 22.33°

Step-by-step explanation:

tan 28° = h/15

0.5317 = h/15

h = 7.98

sin ∅ = h/21

sin ∅ = 7.98/21

sin ∅ = 0.38

∅ = 22.33°

What is an equation of the circle with center (2,-5) and radius 9.

Answers

Answer:

(x-2)^2 + (y+5)^2= 9^2

Step-by-step explanation:

6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long how tall is the flagpote?

Answers

Answer:

forstone

Step-by-step explanation:

sike I lied I dont know this RESPECTFULYY!!

Simplify: a(8 + 2b - 6)

Answers

Answer:

2ab+2a

Step-by-step explanation:

I need help with these answer them

Answers

Answer:

on which on do you need help on but let me know

Step-by-step explanation:

huh

the answer is c because if he has 12 pieces of board and the total is 48 inches, then you just divide them

Please help me!!! 30 points, will report for ridiculous responses.

Answers

Answer:

The value of an exterior angle is the sum of the two interior angles not adjacent to it so

a:

x = 64 + 45 = [tex]\boxed{109}[/tex]

b:

3x + 6 = 153 so

3x = 147 so

x = [tex]\boxed[/tex][tex]\boxed{49}[/tex]

Question 6 (2 points)
The perimeter and the ratio of the length to the width of a rectangle are given. Find the length and width of the rectangle.
Perimeter: 50 inches.
I:w=3:2

Answers

Answer:

Step-by-step explanation:

Ratio = 3 : 2

Length =3x

Width = 2x

Perimeter = 50 inches

2*(length + width ) = 50

2* (3x + 2x ) = 50

       2* 5x    = 50

               10x = 50

                  x = 50/10

x = 5

Length = 3*5 = 15 inches

Width = 2*5   =  10 inches

help me whit this please

Answers

Answer:

(5,-3) *red* i cant tell wht it says very well

Step-by-step explanation:

what is the median of the following numbers? 6,4,1,9,3,8,3,5,10​

Answers

The median is 3 in this question

Complete the proof that angle XYZ is congruent to angle WXY.

Answers

Answer:

Step-by-step explanation:

They are the same angle in the obtuse triangle and same points but mixed up proof: you can highlight the lines and make points for the letters w x and y hope this helps :)

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week

Answers

Given :

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.

To Find :

How many weeks will it be before Aiden knows as many songs as john?

Solution :

Let, after x weeks Aiden know a songs and John know j songs.

The linear equation for both the situation is :

a = x + 12       .....( For Aiden )

j = 2x + 4       ......( For John )

We need to find in which week Aiden knows as many songs as John.

For this , a = j

x + 12 = 2x + 4

x = 8

Therefore, in 8th week both of them know the same number of songs.

7. What is the solution set for -2x-8<2?

Answers

Answer:

-2x - 8 < 2

-2x < 10

x > -5

Which value is the range of the data set?
A)
250
B)
470
500
D)
720

Answers

Answer:

it is B = 470

Step-by-step explanation:

720 - 250 = 470

What is the solution or solutions to the equation x + 5 = 5x ?

Answers

Answer:

x = 5/4

Step-by-step explanation:

The solution or solutions to the equation x+5=5x is 5/4. It can also be written as 1.25. This is because you move the constant to the right-hand side and change its sign, then you collect like terms, divide both sides of the equation by -4.


[tex] (\frac{1}{15} - \frac{1}{20} )[/tex]

Answers

i believe the answer is 1/60 :)
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