6x^2=32x+24 Need help learning factoring please put work so I can understand

Answers

Answer 1

Answer:

I do not sorry

Answer 2

Answer:

2 • (x - 6) • (3x + 2)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP 1 : Equation at the end of step 1

((2•3x2) - 32x) - 24

STEP 2 : Pulling out like terms

Pull out like factors :

6x2 - 32x - 24 = 2 • (3x2 - 16x - 12)

Trying to factor by splitting the middle term

Factoring 3x2 - 16x - 12

The first term is, 3x2 its coefficient is 3 .

The middle term is, -16x its coefficient is -16 .

The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 3 • -12 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .

-36 + 1 = -35

-18 + 2 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2

3x2 - 18x + 2x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-6)

Add up the last 2 terms, pulling out common factors :

2 • (x-6)

Step-5 : Add up the four terms of step 4 :

(3x+2) • (x-6)

Which is the desired factorization

Final result : 2 • (x - 6) • (3x + 2)

Hope this helps~

Smoll mochi


Related Questions

curtain investments compound interest at different intervals. What effect does the size of the compounding interval have on the yield of the investment?

Answers

As the compounding frequency increases, the yield increases as well. But there's a limit to that increase.

Consider depositing $100 into an account at 5% interest. Let's consider a timespan of 1 year. These values were picked arbitrarily.

Using the formula A = P(1+r/n)^(nt), we can find the various yield amounts when n varies

The table below shows how A changes based on the values of n. I've let P = 100, r = 0.05 and t = 1.

As n gets larger, the value of A slowly approaches 105.13 when you round to the nearest penny.

So eventually the investment yield hits a ceiling of some sort.  We cannot make the investment grow forever in some fixed amount of time (in this case 1 year).

ALGEBRA QUESTION THAT NEEDS ANSWER ASAP

Answers

A) 11.7

Step-by-step explanation:

sin 20/4=sin 87/c

sin 87×4=sin 20c

3.9945=0.3420c

c=3.9945/0.3420

c=11.7

what are the steps to simplifying radical expressions?​

Answers

Answer:

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Step-by-step explanation:

3(x - 1) - 8 = 4(1+x) + 5​

Answers

Answer:

x= 20

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

3x-1(3)-8= 1(4)+4x+5

Step 2- Multiply

3x-3-8= 4+4x+5

Step 3- Add.

3x-3-8= 4x+9

Step 4- Subtract 3x to both sides to move the variable to one side.

3x-11= 4x+9

-3x     -3x

Step 5- Subtract 9 to both sides.

-11= 1x+9

-9       -9

-20= x

Exchange the signs.

20= x

Answer:

x = -20

Step-by-step explanation:

3(x - 1) - 8 = 4(1+x) + 5​

3x - 3 -8 = 4 + 4x + 5

3x - 11 = 9 + 4x

-x = 20

x = -20

Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.

Answers

Answer:

Step-by-step explanation:

?

Answer:

Its 24

Step-by-step explanation:

can someone help me find the final answer to this im very confused

Answers

Answer:

  (7√3)/3

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.

  Tan = Opposite/Adjacent

That means ...

  tan(30°) = x/7

Multiplying by 7, we have ...

  x = 7·tan(30°)

  x = (7√3)/3

I need help with number 5, I understand the rest but with a fraction I get completely thrown off :(

Answers

Step-by-step explanation:

0, _, _, 2, 8/3, ...

Write each number as a multiple of 1/3.

0/3, _, _, 6/3, 8/3, ...

The common difference is 8/3 − 6/3 = 2/3.  So the other two terms are 2/3 and 4/3.

If K is the midpoint of JL , JK = 6x + 11 and KL = 16x +1, find JL.
Pls I need help

Answers

Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.

6x + 11 = 16x + 1

Subtract 6x and 1 from both sides

10 = 10x

Divide both sides by 10

1 = x

We also know that:

JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34

Students in a pre-algebra class are given the polynomial 12x2y−6xy+18y2 and told to factor out the greatest common factor. Which student has made the correct​ choice?(1 point)

Answers

This question is not complete

Complete Question

Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.

Which student has made the correct choice? (1 point)

a) Delia chose 3y because she said that it was a factor of every term.

b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.

c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.

Answer:

c) Mike chose 6y because he said that it was the largest factor of every term.

Step-by-step explanation:

Step 1

Identify the GCF of the coefficients.

12x²y - 6xy + 18y²

Coefficients are :

12, 6, 18

The Greatest Common Factor for 12, 6, 18 =

The factors of 6 are: 1, 2, 3, 6

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Step 2

Identify the GCF of the variables.

x²y , xy, y²

The GCF of these variables is y

Step 3

Combine to both GCF's to obtain the GCF of the expression.

= 6 × y

= 6y

The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y

Step 4

We factorise

= 12x²y−6xy + 18y²

= 6y(2x² - x + 3y)

Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.

Mike is correct.

The class width of the class 200 - 215 is

Answers

Answer: -15

Step-by-step explanation:

200

-215

-  15

Hope this helped

Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.

Answers

Correct answer

Justification:

10+3 = 13

25-13 = 12

Answer:

12

Step-by-step explanation:

IL MARK AS BRAINLIEST PPL

Answers

Answer:

3/4 AND 4/5 are greater than 11/20

Step-by-step explanation:

multiply 3/4 by 5 and u get 15/20

milptiply 4/5 by 4 and u get 16/20

your finding the LCM and LCD

PLz hurry i really need this okay

Answers

Answer:

Step-by-step explanation:

perfect squares=9,64,49

non perfect squares=24,88,6

Solve the equation for y.
3X+1/5y=7
Y=

Answers

Answer:

The answer is y = -15x + 35.

Step-by-step explanation:

We want to isolate y, so we cancel everything on that side of the equals except y. We begin with the term farthest away from y, which would be 3x. Since it is positive, to cancel it we will subtract. This will give us 1/5y = 7-3x.

Next we want to cancel the 1/5. Since it is directly beside y, this means it has been multiplied; to cancel, we will divide. Divide both sides by 1/5, and we have y = (7-3x)÷(1/5). When we divide fractions, we flip the second one and multiply; this means we have y=(7-3x)*5.

Using the distributive property, we have y=7*5-3x*5, which gives us y=35-15x. We can write this as y=-15x+35.

Answer:

y = 35 - 15x

Step-by-step explanation:

Given

3x + [tex]\frac{1}{5}[/tex] y = 7 ( subtract 3x from both sides )

[tex]\frac{1}{5}[/tex] y = 7 - 3x ( multiply both sides by 5 to clear the fraction )

y = 5(7 - 3x) , that is

y = 35 - 15x

1) The price of a dress is $89. Susan has a coupon for $50 off ger entire purchase and another coupon for 50% off one item. The store's policy does not allow for both coupons to be used at once. Which monetary incentive would give Susan a better buy. $50 off coupon is a better buy 50 of one item is a better buy.​

Answers

First coupon:

89 - 50 = $39 (discount price)

Second coupon:

50% = 0.5

89 * 0.5 = 44.5

89 - 44.5 = $44.5 (discount price)

39 < 44.5

Therefore, the better option is using the $50 off one item.

Best of Luck!

Quick Question


a) 1 trillion means 1 000 000 000 000. Write this number in scientific notation.


b) Write one million in scientific notation.

Answers

Answer:

1 * 10^12

Step-by-step explanation:

Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.

Same thing can be applied for 1,000,000 (one million).

1 * 10^6 because one million has 6 zeros appended to it.

A=1/2 BH where A: area, B: base, & H: height. If the Base of a triangle is 7 ft and the Height of the triangle is 4 ft, what is the Area of the triangle? Question 12 options: 56 ft 28 ft 14 ft 37 ft

Answers

Answer:

[tex]\boxed {\tt A= 14 \ ft^2}[/tex]

Step-by-step explanation:

The area of a triangle can be found using the following formula.

[tex]A=\frac{1}{2} bh[/tex]

where [tex]b[/tex] is the base and [tex]h[/tex] is the height.

In this triangle, the base is 7 feet and the height is 4 feet.

[tex]b= 7 \ ft\\h= 4 \ ft[/tex]

Substitute the values into the formula.

[tex]A=\frac{1}{2} bh[/tex]

[tex]A=\frac{1}{2} (7\ ft)(4 ft)[/tex]

Multiply 7 ft and 4 ft.

[tex]A=\frac{1}{2} (28 \ ft^2)[/tex]

Multiply 28 square feet by 1/2 or divide 28 square feet by 2.

[tex]A= 14 \ ft^2[/tex]

The area of the triangle is 14 square feet.

(If someone answers fast i will mark you brainliest ) Which ordered pair would form a proportional relationship with the point graphed below? (10, -20) (-30, 20) (-10, 5) (35, -20)

Answers

Answer:

(-10, 5)

Step-by-step explanation:

(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.

(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.

Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..

plz help will mark brainliest

Answers

The correct choices are:
2. (8a + 4b)
5. 4(2a + b)

2 is correct simply because there are 8 a’s and 4 b’s.

5 is correct because you multiply 4 by 2a and b, making 8a + 4b.

What is the distance between -5 and 2?
units

———- units

Answers

Answer:

7

Step-by-step explanation:

5+2 is the difference between the two numbers

Answer:7

Step-by-step explanation:

hope its help thanks for seeing my answe bye

Simplify 7(exponent 6) multiplied by 7 (exponent 5)

Answers

7(6) x 7(5) = 7(6+5) = 7(11) is the simplified answer.
Thank you!

Evaluate. 7 x (-7 + 15)

Answers

Answer:

56

Step-by-step explanation

Solve the following equation for x: 2x – 3y = 6.
x= x + 3
x=y-3
3
x=--y-3
2
x= -
y + 3

Answers

Answer:

x = 3/2 y + 3

Step-by-step explanation:

2x – 3y = 6.

Add 3y to each side

2x – 3y+3y = 3y+6.

2x = 3y+6

Divide each side by 2

2x/2 = 3y/2 + 6/2

x = 3/2 y + 3

Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool. How many minutes do the two faucets take to fill a pool with 9,000 liters of water?

Answers

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

Solution for: 2 [32-(4-1)³ ]

Answers

Answer:

5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2[32-3^3]

2[32-27]

2×5

10

A town has a small theater for weekend community plays and musicals. Each weekend, the theater can sell a total of 761 tickets for their performances. What is the maximum number of tickets the theater can sell in 1 year (1 year = 52 weeks)?

Answers

Answer:

the answer of this question is 39,572

Step-by-step explanation:

i just took the assignment and it said the other number is wrong. the answer is 39,572 . your welcome :)

The maximum number of tickets to sell in one year if Each weekend, the theater can sell a total of 761 tickets for their performances, is 39572.

What is multiplication?

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

Each weekend, the theater can sell a total of 761 tickets for their performances,

The total number of weeks = 52,

Calculate the maximum number of tickets to sell in one year as shown below,

The maximum number of tickets to sell in one year = 52 × 761

The maximum number of tickets to sell in one year = 39572

Thus, the total number of tickets sold is 39572.

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ5


Convert this rational number
to its decimal form and round
to the nearest thousandth.

Answers

Answer:

.857

Step-by-step explanation:

6/7 = about .8571

rounded to thousandth is .857

What are the reasons?

Given: 3x + 1 = -14; Prove: x = -5
Statements

Answers

Answer:

x=-5

Step-by-step explanation:

Statement          Reason

3x+1 =-14              Given

3x=-15                   Subtraction Property of Equality

x=-5                       Division Property of Equality

PLZZZZZZ ANSWER
ASAP
READ QUESTIONS CAREFULLY ​

Answers

Answer:

7

Step-by-step explanation:

Find the domain and range of the following absolute value functions. 1 _____ f(x) = |x+6| I’ll mark u the brainliest to whoever answer first

Answers

Answer:

x = > R

y = > [ 0 , infinity )

Step-by-step explanation:

Domain :

f ( x ) = | x + 6 |

Clearly we can put any value for f ( x )

x = > R

Range :

Using input restriction:

For min of x = - 6

y belongs to [ 0 , infinity )

Hence we get answer.

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