Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?

Answers

Answer 1

Answer:

( 3x − 1) ( 5x^2 + 2 )

Step-by-step explanation:

15x^3 − 5x^2 + 6x − 2

= ( 3x − 1) ( 5x^2 + 2 )

Answer 2

Using factorization by grouping, the resultant expression is [tex](5x^{2} +2)(3x-1)[/tex].

What is factorization by grouping?

Factorization by grouping means that we need to group the terms with common factors before factoring.

[tex]= 15x^{3} - 5x^{2} + 6x-2\\ =5x^{2} (3x-1)+2(3x-1)\\=(5x^{2} +2)(3x-1)[/tex]

Learn more about factorization by grouping here

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Related Questions

Minnie wants to know if the number of words on a page in her planetary science book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. Mean Median Mean Absolute Deviation Planetary science 48.9 41 9.2 Math 34.5 44 1.9 She claims that because the mean number of words on each page in the planetary science book is greater than the mean number of words on each page in the math book, the planetary science book has more words per page. Based on the data, is this a valid inference? No, because there is a lot of variability in the planetary science book data. Yes, because there is a lot of variability in the planetary science book data. Yes, because the mean is larger in the planetary science book. No, because the mean is larger in the planetary science book.

Answers

Answer:

I think it is

No, because there is a lot of variability in the geography book data

hope this helps

-lvr

No, Minnie is incorrect, because there is a lot of variability in the Planetary science book data.

Is this a valid inference?

We know that, for 25 samples of each book, we have:

Book                        mean      median      MAD

Planetary science  48.9          41              9.2

Math                        34.5          44             1.9

The claim, is that "the Planetary science book as more words per page"

Notice that even if we subtract the mean standard deviation from the mean in the Planetary science case:

48.9 - 9.2 = 39.7

And we add these in the math case:

34.5 + 1.9 = 36.4

So, even considering the variability, the Planetary science book has more words per page.

The value in the Planetary science case is still larger, so, only with this, we conclude that her claim is not valid.

If you want to learn more about means;

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Which of the following is an offer? Select one: a. Hedva walks into the Ferrari Dealership and says, “I am going to buy a car.” b. Lucy says to Zehmer “I bet you wouldn’t sell this house for $50,000.” c. "This car isn't worth what you're charging. d. Bruo says, “I will pay $25 for this book.”

Answers

Answer:

D, "I will pay $25 for this book."

Step-by-step explanation

It would be d, that is correct

the sum of two numbers is 90 .the larger number is 14 more than 3 times the smaller number.

Answers

Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

Please help with this

Answers

Answer:

D) reflection across the origin

Step-by-step explanation:

The answer is D. Reflection across the origin.
Point A is at (3, 1). Point A’ is at (-3, -1). The formula for reflection across the origin is (-x, -y). In the problem, the x and y coordinates changed from positive to negative. I hope this helps :)

One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4

Answers

The answer to your question is 2/1

Hi All,

I have some Maths Questions for you all to have a look at.

Please answer - I am giving 20 points!

I will mark Brainliest as well.

Take care,

Jake

Answers

Answer: i hope this is correct take care

Step-by-step explanation:

Help Idk the way to do it

Answers

Answer:

x=3

Step-by-step explanation:

If the triangles are congruent

13 = 4x+1

subtract 1 from each side

13-1 = 4x+1-1

12=4x

Divide by 4

12/4 = 4x/4

3=x

Answer:

3

Step-by-step explanation:

If the two triangles are congruent then:

13=4x+1

13-1=4x+1-1

12=4x

x=3

Hope this helps!

Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability

help i still dont understand

Answers

Answer:

1. c

2. a

3. d

4. b

Step-by-step explanation:

For 1, use parchment paper for rotating it around the origin.

For 2, just make the y value positive.

For 3, add 13 to the y value.

For 4, use process of elimination with the answer choices.

(I know right, horrible explanation but you wanted the answers right?)

681/4 i dont know this

Answers

170/4 I’m sure that’s the answer your looking for

The right answer is 170.25

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Please Help!!! What is the slope of the line in the graph!!! Braniest will be given!!!

Answers

Answer:

m= 1/2

Step-by-step explanation:

Not sure if this is right but I hope this helps :)

Answer:

1/4

Step-by-step explanation:

We can see that two points on the line are (0, 4) and (4, 5). Using the slope formula (y₂ - y₁) / (x₂ - x₁) we get (5 - 4) / (4 - 0) = 1/4.

Find the product of (x − 5)2. (1 point)

Answers

Answer:

x² - 10x + 25

Step-by-step explanation:

Given

(x - 5)² = (x - 5)(x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 5) - 5(x - 5) ← distribute both parenthesis

= x² - 5x - 5x + 25 ← collect like terms

= x² - 10x + 25

which set of points contains the solutions to the inequality y < -2/3x - 13/3?

Answers

Answer:

D

Step-by-step explanation:

PLEASE HELP ME !!!!!!!!

Answers

Answer:

54

Step-by-step explanation:

90-36=54

Answer:

Angle X is 90-36 = 54 degrees

How many times larger is 5 × 10 to the power of 6 than 5 × 10 to the power of 2?

Answers

Answer:

10,000

Step-by-step explanation:

The bases of the scientific notation are the same, so the answer must be a base of 10. So you just divide [tex]10^{6}[/tex] and [tex]10^{2}[/tex], you should get [tex]10^{4}[/tex], which is equal to 10,000.

10,000 because you just need to work them out then subtract

PLEASE HELP!!! 100 POINTS!!!!!!!

Potatoes cost $0.85 per pound. Luke bought 2.75 pounds of potatoes. How much did he pay for the potatoes. Round your answer to the nearest dollar.

He paid $ for the potatoes.

Answers

Answer:

Um

Step-by-step explanation:

what is 12000 mutiplyed by 180000

Answers

Answer:

The Answer is 2160000000

Answer:2160000000

Step-by-step explanation:

please help and answer this for me

Answers

Answer:

Subtract 58 from both sides

Step-by-step explanation:

algebra applications: find the value of x and y​

Answers

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

[tex]5x-y+150=180[/tex]       ...........(1)

[tex]5x-y=180-150[/tex]

[tex]5x-y=30[/tex]      ............(2)

[tex]5x+y+130=180[/tex]       ...........(3)

[tex]5x+y=180-130[/tex]

[tex]5x+y=50[/tex]        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

[tex]5x-y+5x+y=30+50[/tex]

[tex]10x=80[/tex]

[tex]x=8[/tex]

Now we are putting the value of x in 4, we get the value of y.

[tex]5x+y=50[/tex]

[tex]5(8)+y=50[/tex]

[tex]y=50-40[/tex]

[tex]y=10[/tex]

Therefore, the value of x and y is 8 and 10 respectively.

If two right triangles each have a 30° angle, then the
triangles must be
a equilateral
b.similar
C. obtuse
D. congruency

Answers

Answer:

b. Similar

Step-by-step explanation:

Although angles are congruent the triangles are not as sides need to be the same too.  Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.

Because the angles are congruent and sizes are not shown they must be similar.

They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.

They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.

They are not fully congruent as we do not know there side measures so they have to be similar.

Answer:

B

Step-by-step explanation:

Two triangles are similar when they share at least two angles and the only difference is size.

True of False: The graph of a rational function R never intersects a vertical asymptote. True or False: The graph of a rational function R never intersects a horizontal asymptote. True or False: The graph of a rational function R never intersects an oblique asymptote.

Answers

Answer:

All true

Step-by-step explanation:

By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.

Solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13

Answers

Solve:  2 ln 3 = ln(x - 4)

a)x = 9

b)x = 10    

c)x = 13

Answer:

x = 13

Step-by-step explanation:

To solve the problem above, we will follow the steps below;

2 ln 3 = ln(x - 4)

[using logarithm rule  aInb =  Inbᵃ]

so also our equation becomes

In 3² = In (x-4)

The In at the left-hand side of the equation will cancel-out the In at the right-hand side of the equation

Our equation becomes;

3² = x- 4

9 = x-4

add 4 to both-side of the equation in other to make x subject of the equation

9 + 4 = x-4 + 4

13 = x

x = 13

Answer:

C on Edge x = 13 x =  

-4  and x =  4

the solution is x =  4

Step-by-step explanation:

I just did the assignment on edge.

Consider the following linear system.

Answers

Answer:

k= 10

Step-by-step explanation:

2x - 5y = 15

ky = 20 +4x

Solve the first equation for  y

-5y = -2x +15

Multiply by -2

10y = 4x - 30

If k = 10 then the slopes are the same, but the y intercepts are different.

The lines are parallel.  They will never intersect, and they have no solution

Answer:

D

Step-by-step explanation:

- 5y = - 2x +15

10y = 4x - 30

if k = 10, then the y intercepts are different, and the lines--being parallel--don't ever meet, so k = 10 would result in 0 solutions.

Hope this helps!

What are the values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0?

Answers

Answer:

a.-2

b.4

c.-3

Step-by-step explanation:

write a,b,c on top of each number to the left of the =0

Answer:

The values are: a ; (-2) b ; (4) c ; (-3)

Step-by-step explanation:

The quadratic equation is: ax^2+bx+c = 0

So, you can get your answers by using that.

Which expression is equivalent to x^2-10x+24

Answers

Answer:

(x-4)(x-6)

Step-by-step explanation:

By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.

I need help please thanks

Answers

Answer:

1/6

Step-by-step explanation:

The answer is D. Hope this helped :)

CO
Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius
temperatures for select Fahrenheit temperatures.
Table A
Table B
с
-10
0
10
20
30
F
14
32
50
68
86
F
14
32
50
68
86
C
-10
0
10
20
30
The tables show that the two functions are
ordered pair
✓ for the other function
because the ordered pair (x, y) for one function is the
A Intro

Answers

Answer:

it's is a

because the law states

Answer:

First 1 is Inverse and the second one is y=x

h(x)= 1/8x^3-x^2 Over which interval does h have a positive average rate of change ?

Answers

Answer:

6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!

Step-by-step explanation:

How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2

Answers

Answer:

Below.

Step-by-step explanation:

Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.

The other 2 have negative values and -2 = -(2) so they have the same value, -4.

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

12.167(option D)

Solution,

[tex]side \: length(s) = 2.3 \\ volume = {s}^{3} \\ \: \: \: \: \: \: \: \: \: \: = {(2.3)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.3 \times 2.3 \times 2.3 \\ \: \: \: \: \: \: \: \: = 12.167 \: {cm}^{3} \\ [/tex]

hope it helps...

Good luck on your assignment....

Answer:C.8.027

Step-by-step

V = s[tex]^{3}[/tex]

The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.

[tex]\frac{dV}{ds}[/tex](s[tex]^{3}[/tex]) =3s[tex]^{2}[/tex]

We now plug in  s =6

3s[tex]^{2}[/tex] = 3(6)[tex]^{2}[/tex] = 8.027[tex]\frac{cm3}{s}[/tex]

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