12x+6x^2(3x-2)-8x^2-7x

Answers

Answer 1

Answer:

x⋅(2x+1)⋅(2x+3)⋅(3x−2)

Step-by-step explanation:

Equation at the end of step 1

 (((12•(x4))+(16•(x3)))-7x2)-6x

STEP

2

:

Equation at the end of step

2

:

 (((12 • (x4)) +  24x3) -  7x2) -  6x

STEP

3

:

Equation at the end of step

3

:

 (((22•3x4) +  24x3) -  7x2) -  6x

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  12x4 + 16x3 - 7x2 - 6x  =

 x • (12x3 + 16x2 - 7x - 6)

Checking for a perfect cube :

5.2    12x3 + 16x2 - 7x - 6  is not a perfect cube


Related Questions

the circumference of a circle is 65n. In terms of pi, what is the area of the circle

Answers

Answer:

In order to answer this you would need to use this equation: A = πr² (See explanation)

Step-by-step explanation:

So, The circumference of the circle is 65n?

What you need to do is A = πr²

Let's divide 65n by Pi (65/3.14)

That equals 20.70n

Now we have the diameter of the circle. We need the radius for A = πr² .

We need to divide the diameter by two (20.70/2)

We now have the radius of the circle: 10.35n

Now we need to plug 10.35n in our Area equation :A = π10.35²

So now we multiply the Radius by Pi (π * 10.35)

This means that the area of our circle is: A = 32.49

Your answer Is 32.49n

the perimeter of a square flower bed is 100 feet. what is the area of the flower bed in sqaure feet

Answers

Answer:

A =625 ft^2

Step-by-step explanation:

The perimeter of a square is

P = 4s where s is the side length

100 =4s

Divide each side by 4

100/4 = 4s/4

25 = s

A = s^2 for a square

A = 25^2

A =625

x+y =783
10x+7y=6459​

Answers

Answer:

x

=

326

,

y

=

457

Step-by-step explanation:

Can someone help me please it's only 2 questions!!!!!

Can someone help me please it's only 2 questions!!!!!
Can someone help me please it's only 2 questions!!!!!

Answers

Problem 1

Answer:   -4 + 7

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

=============================================

Problem 2

Answer:   8 + 3

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

PLEASE HELP ME I WILL GIVE YOU 5 STAR RATING A THANKS AND BRAINLIEST RATINGGGGG

PLEASE HELP ME I WILL GIVE YOU 5 STAR RATING A THANKS AND BRAINLIEST RATINGGGGG

Answers

Answer:

It's the third choice.

Step-by-step explanation:

IF y varies inversely as x then y = k/x   where k is a constant,

and k = xy    

For the 3rd choice

-1 * -2/7 = 2/7

4 * 1/14 = 2/7 and

6 * 1/21 = 2/7

so, this is inverse variation.

3x^3-3x^2+x+1 divided by x+2

Answers

\(\frac{3X^3-3x^2+x+1}{x+2}\)

Shanice uses the rule" Divide the number of lawns by 2" to find the gallons of gas needed to run her lawn mower. If 2 gallons of gas are needed for 4 lawns and 4gallons of gas are needed for 8 lawns, how many gallons of gas are needed for 14 lawns?

Answers

Using the concept of ratio and proportions, Shanice will need 7 gallon for 14 lawns.

What is Proportions

Proportion is a mathematical concept that describes the relationship between two or more related quantities. It is usually expressed as a ratio or a fraction, which indicates how much of one quantity there is compared to the other. Proportions are used in many areas of mathematics and science, including statistics, geometry, and physics.

In this problem, we have to find the ratio or proportion to which she uses fuel per lawn.

2 gallons = 4 lawns

1 gallon = x lawn

x = (4 * 1) / 2

x = 4 / 2

x = 2 lawn

So, she uses 1 gallon on 2 lawns

We can set an equation of proportionality for this or go straight ahead and equate to find the number of gallons required for 14 lawns.

1 gallon = 2 lawn

x gallon = 14 lawn

x = (14 * 1) / 2

x = 7 gallon

She will need 7 gallons to work on 14 lawns.

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A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?

Answers

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

How much difference do a couple of weeks make for birth weight? Late‑preterm babies are born with 3434 to 3636 completed weeks of gestation. The distribution of birth weights (in grams) for late‑preterm babies is approximately ????(2750,560).N(2750,560). What is the probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 15001500 grams? (Use technology and enter your answer rounded to four decimal places.)

Answers

Answer:

0.0128

Step-by-step explanation:

(Use technology and enter your answer rounded to four decimal places.)

We apply the z score formula to this question

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

We are given: N(2750,560)

x = 1500 grams, μ = 2750 grams, σ = 560 grams

= z = 1500 - 2750/560

z = -2.23214

Determining the Probabilty value from Z-Table:

P(x < 1500) = P(z = -2.23214)

= 0.012803

Approximately to four decimal places = 0.0128

The probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 1500 grams is 0.0128.


(You will need a calculator.) Suppose you deposit $4800 into an account paying 3.2% simple annual interest and leave it there for six years.
Assuming that you make no other deposits or withdrawals, how much will the account hold at the end of that time?
Answer: $
(Round your answer to the nearest cent. Enter only the number without commas, not the dollar sign.)

Answers

The answer is 38,016. You have to multiply 4800 by 6 which equals 28,800. then multiple 0.32 times 4800 which equals 1538. multiply 1538 by 6 which equals 9,216 and then add 28,800 which equals it to 38,016.

Answer:

Step-by-step explanation:

principal (P) = $4800

Interest (I) = 3.2%

Time (T) = 6 years

Now

I = (P*T*R)/ 100 = (4800*3.2*6) / 100 = 921.6

Amount (A) = P + I = 4800 + 921.6 = $5721.6 = $5272

     

Please help me. I'll give you guys a brainliest. Which proportional relationship has the greatest unit rate: the table or the equation? Tell me how u got the answer.

Answers

Answer:

is there a picture?

Step-by-step explanation:

At hollywood connection, edgar plays laser tag 6 minutes for every 8 minutes he plays arcade games. If edgar plays arcade games for 48 minutes. for now many minutes will he play laser tag

Answers

Answer:

36

Step-by-step explanation:

48/8 = 6. 6*6 = 36.

help please im a 4th grader and my homework due in 3 days 23948 plus 92374 please please

Answers

Answer: 116322

Step-by-step explanation:

23948+92374= 116322

116322

To find the sum of 23948 and 92374, you simply add each place value:

2 + 9 = 11
3 + 7 = 10
9 + 4 = 13
4 + 2 = 6
8 + 3 = 11

So, the answer is 116322

A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length AC.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
A
41
B
85

A triangular pyramid is formed from three right triangles as shown below.Use the information given in

Answers

Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

Pythagorean theorem

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

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A triangular pyramid is formed from three right triangles as shown below.Use the information given in

describe the inequality 5x>4x+7 in words​

Answers

Answer:

five times a number is greater than the sum of four times that number and seven

5.2: Bowling for Triangles (Part 2)
Here is a visual pattern of dots. The number of dots D(n) is a function of the step number n.

1. What values make sense for n in this situation? What values don't make sense for n?

5.2: Bowling for Triangles (Part 2)Here is a visual pattern of dots. The number of dots D(n) is a function

Answers

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

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on the first of january 2014, carol invested some money in a bank account. The account pays 2.5% interest per year. On the first of january 2015 carol withdrew £1000 from the account. On the first of january 2016, she had £23517.60 in the account. Work out how much carol originally invested in the account

Answers

Answer: £23,360

Step-by-step explanation:

You can use algebra to solve this.

Assume that the original investment is x.

In the beginning of 2015 the balance had increased by 2.5% which is denoted as:

= 1.025x

Carol then withdrew a thousand:

= 1.025x - 1,000

This value then increased by 2.5% again by the beginning of 2016:

= 1.025 * (1.025x - 1,000)

Relevant expression therefore is:

1.025 *(1.025x - 1,000) = 23,517.60

1.025x - 1,000 = 23,517.60/1.025

1.025x = ‭22,944‬ + 1,000

x = 23,944/1.025

x = £23,360

Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)

Answers

Answer:

Graph the line y = -2.

Step-by-step explanation:

A line with zero slope is a horizontal line.  Find (0, -2) on the y-axis and draw a horizontal line through it.  This will fully address this question.

Dennis Hampton earns a straight com-
mission of 7% on sales of $5,000 or less
and 9% on sales in excess of $5,000. One
week Dennis had a gross pay of $578.
What were his total sales for that week?

Answers

Answer:

Denis's total sales that week were $ 6,422.22.

Step-by-step explanation:

Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:

7 = 578

100 = X

100 x 578/7 = X

57,800 / 7 = X

8,257.14 = X

9 = 578

100 = X

100 x 578/9 = X

57.800 / 9 = X

6,422.22 = X

Therefore, Denis's total sales that week were $ 6,422.22.

Find the value of x in the parallelogram

Find the value of x in the parallelogram

Answers

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Simplify the expression:
7f+5+3f

Answers

Answer:

10f + 5

Step-by-step explanation:

7f+5+3f (Given)

10f + 5 (combine like terms)

Answer:

15f is the correct answer

Regina is comparing two checking accounts. One has a monthly fee of $12
and a per-check fee of $0.10, and the other has a monthly fee of $9 and a per-
check fee of $0.25. What is the minimum number of monthly checks Regina
needs to write for the first account to be a better option?
A. 15
B. 30
OC. 21
OD. 20

Answers

The minimum number of monthly checks Regina needs to write for the first account to be a better option is 21 or more. Answer C. 21 is one of the suggested choices.

To solve this problem

On the basis of the quantity of checks written, we can compare the overall costs of the two accounts.

Let's calculate the total cost for each account based on the given information:

First Account:

Monthly fee: $12

Per-check fee: $0.10

Total cost = Monthly fee + (Per-check fee * Number of checks)

Second Account:

Monthly fee: $9

Per-check fee: $0.25

Total cost = Monthly fee + (Per-check fee * Number of checks)

We must determine the point at which the first account's total cost is less than the second account's total cost. Let's construct the formula:

$12 + ($0.10 * Number of checks) < $9 + ($0.25 * Number of checks)

Simplifying the equation

$12 - $9 < ($0.25 - $0.10) * Number of checks

$3 < $0.15 * Number of checks

Dividing both sides by $0.15:

$3 / $0.15 < Number of checks

20 < Number of checks

Therefore, the minimum number of monthly checks Regina needs to write for the first account to be a better option is 21 or more. Answer C. 21 is one of the suggested choices.

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A pack of 12 pens costs £3.60 . How much does one pen cost ?

Answers

30 cents

Step-by-step explanation:

30cents
Divide 3.60 by 12 = 0.3

Find the area of the following shape:

Find the area of the following shape:

Answers

Answer:

30 cm

Step-by-step explanation:

the area is 1/2 base x height

so (1/2)x10 x 12

Answer:

60 cm squared

Step-by-step explanation:

The 13 cm is just to distract you.

The formula for calculating a triangle is (base x height)/2.

The base is 10 cm, and the height is 12 cm.

Then you plug in the numbers.

(10 x 12)/2=60 cm squared.

Could someone help me

Could someone help me

Answers

1. P=2.625

2. variable= p

3. operator= subtraction

4. constants= -10, 32

5. coefficients= 16p

6. 5w + 50 = 150    w=20

One-third of a number t is equal to 7.
Write the word sentence as an equation then solve

Answers

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

Say youre going to conduct a t procedure for the difference between the means of two populations. You decide the samples of sizes 12 and 15 are independent. Which of the following statements are true?
1. If we pool variances the number of degrees of freedom is 25.
2. If we don't pool and we don't have access to software to compute the degrees of freedom the number of degrees of freedom is 11.
3. For a given level of confidence c a confidence interval based on 11 degrees of freedom will be wider than one based on 25 degrees of freedom.

Answers

Answer:

all 3 are correct.

I

II

III

you're welcome

Order the angles in each triangle from smallest to largest.

Order the angles in each triangle from smallest to largest.

Answers

9514 1404 393

Answer:

  B: L, M, N

Step-by-step explanation:

The sides are listed from shortest to longest. The angles opposite these sides will be in order smallest to largest. The name of the opposite angle is the vertex whose name is missing from the side's name.

MN is opposite angle L, the smallest

LN is opposite angle M, the middle-size

LM is opposite angle N, the largest.

Smallest to largest, the angles are ∠L, ∠M, ∠N.

Order the angles in each triangle from smallest to largest.

What is the main idea of beauty algebra? 

Answers

Answer:

Beauty algebra is not a recognized term or concept within the field of mathematics. Therefore, there is no main idea associated with it in mathematical context. It is possible that the term is used in a different context or field, but without additional information, it is not possible to provide a more accurate answer.

64° 42 °

48°
Find the value of x

Answers

Discuss measures that can be taken to develop the spirit of hard work

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