Can someone help me with some factor by grouping and please show step by step

problem: 3x^2-11x+10

Answers

Answer 1

Answer:

See the explanation of the method and the solution below.

Step-by-step explanation:

(In bold is what you'd write in an answer to a question. The extra writing is the explanation.)

3x^2 - 11x + 10 =

This trinomial is in the form

ax^2 + bx + c.

a = 3; b = -11; c = 10

Step 1. Multiply coefficients ac.

ac = 3(10) = 30

Step 2. Find 2 factors of ac multiply to ac and add to b.

In this case, find two factors of 30 that multiply to 30 and add to -11.

-6 and -5 work since (-6)(-5) = 30 and (-6) + (-5) = -11

-6 and -5

Step 3. Break up the middle term in to a sum using the numbers from step 2.

We will break up -11x into -6x - 5x

Now we have

= 3x^2 - 6x - 5x + 10

Step 4. To factor by grouping, factor out a common factor out of the first two terms and factor out a common factor out of the last two terms.

= 3x(x - 2) - 5(x - 2)

Step 5. Factor out the common binomial.

= (x - 2)(3x - 5)


Related Questions

How to convert Decimal to Percent?

Multiply the Decimal Number by 10

Divide the Decimal Number by 10

Multiply the Decimal Number by 100

Divide the Decimal Number by 100

Answers

Answer:

multiply the decimal number by 100.

Step-by-step explanation:

You would multiply the decimal by 100

One cup is equal To 5/10 pint. Write this fraction as a decimal

Answers

Answer:

0.5 pints

Step-by-step explanation:

5/10 = 1/2

1 divided by 2 = 0.5

Answer:

0.5

Step-by-step explanation:

Because 5/10 is also equivalent to 1/2 and either one you simplify you will get 0.5.

An equation is shown below: 3(4x + 5) = 12 Which of the following correctly shows the beginning steps to solve this equation? (4 points) Group of answer choices Step 1: 12x + 15 = 12 Step 2: 12x = −3 Step 1: 12x + 5 = 12 Step 2: 12x = 7 Step 1: 7x + 5 = 12 Step 2: 7x = 7 Step 1: 7x + 8 = 12 Step 2: 7x = 4

Answers

Answer:

I believe the answer would be step 1: 12x + 15 = 12, and step 2: 12x = -3.

Step-by-step explanation:

3(4x + 5) = 12, you would foil and do 3 times 4x which is 12x, then do 3 times 5 which is 15. So the result would be 12x + 15 = 12.  And the step 2 that goes along with this answer. you would do -15 on both sides of the equal sign, so now you have 12x = 12 - 15 which is -3, so it would be 12x = -3

Answer:

Step 1 would be the answer: Step 1: 12x + 15 = 12 Step 2: 12x = −3 Step 1: 12x + 5 = 12

Step-by-step explanation:

If a car is traveling at a constant rate of 20 miles per hour, how far would it
travel in 3 hours?

Answers

Answer:

60 miles

Step-by-step explanation:

Take 20 and multiple by 3 which gives you 60

hope this helps

Answer:

60 miles

Step-by-step explanation:

20 miles in 1 hour

times 3 hours

20 x 3 = 60

∠A and \angle B∠B are complementary angles. If m\angle A=(8x+27)^{\circ}∠A=(8x+27)

and m\angle B=(6x-21)^{\circ}∠B=(6x−21)

, then find the measure of \angle B∠B.

Answers

Answer:

∠ B = 15°

Step-by-step explanation:

Complementary angles sum to 90° , that is

∠ A + ∠ B = 90 , substitute values

8x + 27 + 6x - 21 = 90

14x + 6 = 90 ( subtract 6 from both sides )

14x = 84 ( divide both sides by 14 )

x = 6

Thus

∠ B = 6x - 21 = 6(6) - 21 = 36 - 21 = 15°

Answer:

16

Step-by-step explanation:

(3x+9)+(6x+27)=

(3x+9)+(6x+27)=

\,\,180

180

supplementary angles add up to 180

3x+9+6x+27=

3x+9+6x+27=

\,\,180

180

Drop parentheses

9x+36=

9x+36=

\,\,180

180

Combine like terms

-36\phantom{=}

−36=

\,\,-36

−36

9x=

9x=

\,\,144

144

\frac{9x}{9}=

9

9x

​  

=

\,\,\frac{144}{9}

9

144

​  

 

Divide both sides by 9

x=

x=

\,\,\color{green}{16}

16

\text{Find the measure of }\angle A:

Find the measure of ∠A:

\text{m}\angle A=

m∠A=

\,\,3x+9

3x+9

Given

\text{m}\angle A=

m∠A=

\,\,3(\color{green}{16})+9

3(16)+9

Plug in x

\text{m}\angle A=

m∠A=

\,\,48+9

48+9

Multiply

\text{m}\angle A=

m∠A=

\,\,57

57

Combine

at a dog shelter a, 26-pound bag of dog food will feed 40 dogs. how many dogs would you expect to feed with a 13-pound bag dog food? input only whole number

Answers

The answer goin be 20 cause you just dividing half of it

Answer:

20  dogs

Step-by-step explanation:

13 is half of 26 so if 26 pounds can feed 40 dogs then 13 pounds can feed 20 dogs.

4/10 divided by 5/8. please answer

Answers

Answer:

16/25

Step-by-step explanation:

got it on calculator

triple n, then multiply 7 by the result

Answers

Answer:

21n

Step-by-step explanation:

1. triple n = 3(n)

3n

3. multiply 7 = 7(3n) = 21n

Which statement is true about line h?

Answers

Answer:

Give M the statement of this question

PLEASE HELP I WILL MARK YOU BRAINLIEST.

Answers

Answer:

Volume= 240cm

Step-by-step explanation:

8 times 3 times 2= 48

12 times 3 times 2 =72

20 times 2 times 3=120

48+72+120= 240

Answer:

240cm3

Step-by-step explanation:

the top box is 8x3x2=48

the middle box 12x3x2=72

bottom 20x2x3=120

add all=240cm3

Juan worked 3 hours and earned $32.00. Lisa was paid $17.00 for 1.5 hours of work. Which of the following statements is true?
Juan made a better rate of pay because he made more money.
Lisa said she made a better rate of pay because her rate was $11.33 an hour.
Juan said he made a better rate of pay because he was paid $10.67 an hour.
Lisa made a lower rate of pay because she made less money.

Answers

Answer:

B. Lisa said she made a better rate of pay because her rate was $11.33 an hour.

Step-by-step explanation:

Lisa said she made a better rate of pay because her rate was $11.33 an hour.

Step-by-step explanation:

Which best explains how to subtract one integer from another?
A) Add the absolute value of the integer being subtracted.
B Subtract the absolute value of the integer being subtracted.
Add the opposite of the integer being subtracted.
D Subtract the opposite of the integer being subtracted.

Answers

Answer:b subtract the absolute value of the integer being subtracted

Step-by-step explanation:

Answer: B  (Subtract the absolute value of the integer being subtracted.

                   Add the opposite of the integer being subtracted.)

Avery is renting a car and needs to compare the prices of two car rental companies. Hertz charges $42 per day and an additional $32 in service charges. Enterprise charges $46 per day and an additional $24 in service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Hertz and one for Enterprise), define the variable used. Part B: Which company charges more for renting a car for 6 days? Justify your answer.Part C: How much money does Avery save by renting a car from Hertz instead of Enterprise for 4 days? Show your work or explain your answer.

Answers

Answer:

A) Hertz: 42x+32=y

Enterprise: y=46x+24

B) Hertz is less by 16 $;  300$ minus 386$

C)16$

D) 9$

Step-by-step explanation:


Solve the inequality b - 27 > 3 and write the solution in interval notation

Answers

Step-by-step explanation:

[tex]b - 27 > 3 \\ b > 3 + 27 \\ b > 30[/tex]

There are 946 milliliters in a quart. There are 2 pints in a quart. How many milliliters are in a pint?​

Answers

473
you would divide 946 by 2
more specifically 473.176 (google)

Answer: 473

Step-by-step explanation: 946 Divided by 2

A car travels at an average sped of 50 mph.How far should the car travel in 45 minutes

Answers

in 45 minutes the car can travel 37,5 miles

50mph x 0,75h = 37,5

PLEASE HELP ME! (Number 3 only)

Answers

The answer is 7 you have to add 19 and 15 together and when you get the answer subtract that from 41 and you get 7

A square patio has an area of 225 square feet. Write the area as a power.
Then find the side lengths of the patio.

Answers

Answer:
Write the area as a power: 15^2
Then find the sidelength of the patio: Each side is equal to 15

Reasoning:

A square has four equal sides and to work out area the formula is length x witdth, hence the length and width values are equal. This could also be written as length^2.

Since the area of the patio is 225, the square root of this would give each side length. Henceforth the square root of 225 is equal to 15. A square has four equal sides and to work out area the formula is length x witdth, hence the length and width values are equal. This could also be written as length^2.


For a science project, a student plants seeds of 2 different varieties of corn plants. The table displays the
heights, in inches, of each of the corn plants after 8 weeks.
variety A
46
46
47
48
49
49
50
6
48
49
variety B
48
46 45
47
46 48
49
47 48
48
blThe mean height of the corn plants of variety A is 43.8 inches. Interpret the value of the mean in the
situation.

Answers

Answer:

The average inches of the height of the corn plants of variety A is 43.8 inches

Step-by-step explanation:

In mathematics or statistics, the mean refers to the average of numbers.

The mean is estimated by dividing sum of all the numbers by the count of the numbers.

For this question, the mean height of the corn plants of variety A of 43.8 inches is obtained as follows:

Sum of all the inches = 46 + 46 + 47 + 48 + 49 + 49 + 50 + 6 + 48 + 49 = 438 inches

Count of all the inches = 10

Mean = Sum of all the inches / Count of all the inches = 43.8 inches

The interpretation of this is that the average inches of the height of the corn plants of variety A is 43.8 inches.

-6 + 8(7 + 2p) = 82 please answer this

Answers

-6 + 8(7 + 2p) = 82
-6 + 56 + 16p = 82
16p = 82 + 6 - 56
16p = 32
p = 32/16
p = 2

factor 2x^2 +1x -10

Answers

Answer:

(2x+5)(x−2)

Step-by-step explanation:

Factor 2x2+1x−10

2x2+x−10

=(2x+5)(x−2)

please help with the question above????

Answers

Answer:

I think it would be A

Step-by-step explanation:

you can take the square root of x^2 to make it x and then you would have to do that to the 10 as well. from there we know that the number can be either positive or negative so that would be the answer. you dont always have to put an exact number for these questions.

Answer:

a) [tex]\pm\sqrt{10}[/tex]

Step-by-step explanation:

   [tex]x^2 = 10[/tex]

[tex]\sqrt{x^2} =\sqrt{10}[/tex]

   [tex]\boxed{x=\pm\sqrt{10} }[/tex]

What is the tenths in 86.43

Answers

Hey! Glad I can help!!!

0.4 is the tenth in there.

If satisfies please leave a review and give Brainiest :)

Answer: 4

Step-by-step explanation:

Listen i know its dumb but-
solve for w
10 + w = -9

Answers

Answer:

w = -19

Explanation:

To solve this equation, subtract ten from both sides. This will isolate the variable (w) and allow us to find its value.

[tex]10 + w = -9\\(10 - 10) + w = (-9 - 10)\\w = (-9 - 10)\\w = -19[/tex]

If you would like to double check that the variable (w) does in fact equal negative nineteen, substitute the value of the variable in the equation and solve.

[tex]10 + w = -9\\10 + -19 = -9\\-19 = -19 [true][/tex]

Therefore, the value of w in the given equation is -19.

Aladdin is my everything i love him

Answers

Answer:

ok

Step-by-step explanation:

ok

Answer:

niceeeeeee

Step-by-step explanation: even niceeeerrr

Find the nth term of the sequences -3, 0, 5, 12, 21,...

Answers

Answer:

[tex]a_n=-3+2n+n^2}[/tex]

Step-by-step explanation:

[tex]a_0= -3+0+0=-3\\a_1=-3+2+1=0\\a_2=-3+4+4=5\\...[/tex]

You buy a 562.75 ml container of dish soap. You already have 224.14 mL at home. How many mL do you have in total?​

Answers

Answer:

You would have 786.89 ml of dish soap

Step-by-step explanation:

Hope it helps

The total amount of dish soap is adding the both the amounts will be 786.89 ml.

What is addition?

Addition in math is a process of combining two or more numbers.

Given that, You buy a 562.75 ml container of dish soap, and You already have 224.14 mL at home.

To find the total amount of dish soap, we will add both the amounts.

The total amount of dish soap = 562.75 ml + 224.14 ml = 786.89 ml.

Hence, the total amount of dish soap is 786.89 ml.

For more references on addition, click;

https://brainly.com/question/29560851

#SPJ2

whatexpression would give you a sum of 16 ​

Answers

Answer:

8+8

Step-by-step explanation:

8+8 = 16 , 3x6 = 18, 20-2 = 18 !! Hope that helped you :)

Are points D and E collinear or coplanar?
1
D
E
P.
O Collinear
Coplanar

Answers

Answer:

The answer is A. Collinear

SOMEONE PLEASE HELP ME

ABC was rotated 90° clockwise about (-2, 1). Find A

Answers

Pretty sure it’s (-2,4)

Answer:

It's (1,1)

Step-by-step explanation:

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