Please help!! Will mark brainlyest.

Answer:

x^3 + 9 x^2 + 21 x + 9 = (x^2 + 6 x + 3)×(x + 3) + 0

Step-by-step explanation:

Set up the polynomial long division problem with a division bracket, putting the numerator inside and the denominator on the left:

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9

To eliminate the leading term of the numerator, x^3, multiply x + 3 by x^2 to get x^3 + 3 x^2. Write x^2 on top of the division bracket and subtract x^3 + 3 x^2 from x^3 + 9 x^2 + 21 x + 9 to get 6 x^2 + 21 x + 9:

| | | x^2 | | | |

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9

| -(x^3 | + | 3 x^2) | | | |

| | | 6 x^2 | + | 21 x | + | 9

To eliminate the leading term of the remainder of the previous step, 6 x^2, multiply x + 3 by 6 x to get 6 x^2 + 18 x. Write 6 x on top of the division bracket and subtract 6 x^2 + 18 x from 6 x^2 + 21 x + 9 to get 3 x + 9:

| | | x^2 | + | 6 x | |

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9

| -(x^3 | + | 3 x^2) | | | |

| | | 6 x^2 | + | 21 x | + | 9

| | | -(6 x^2 | + | 18 x) | |

| | | | | 3 x | + | 9

To eliminate the leading term of the remainder of the previous step, 3 x, multiply x + 3 by 3 to get 3 x + 9. Write 3 on top of the division bracket and subtract 3 x + 9 from 3 x + 9 to get 0:

| | | x^2 | + | 6 x | + | 3

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9

| -(x^3 | + | 3 x^2) | | | |

| | | 6 x^2 | + | 21 x | + | 9

| | | -(6 x^2 | + | 18 x) | |

| | | | | 3 x | + | 9

| | | | | -(3 x | + | 9)

| | | | | | | 0

The quotient of (x^3 + 9 x^2 + 21 x + 9)/(x + 3) is the sum of the terms on top of the division bracket. Since the final subtraction step resulted in zero, x + 3 exactly divides x^3 + 9 x^2 + 21 x + 9 and there is no remainder.

| | | x^2 | + | 6 x | + | 3 | (quotient)

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9 |

| -(x^3 | + | 3 x^2) | | | | |

| | | 6 x^2 | + | 21 x | + | 9 |

| | | -(6 x^2 | + | 18 x) | | |

| | | | | 3 x | + | 9 |

| | | | | -(3 x | + | 9) |

| | | | | | | 0 | (remainder) invisible comma

(x^3 + 9 x^2 + 21 x + 9)/(x + 3) = (x^2 + 6 x + 3) + 0

Write the result in quotient and remainder form:

Answer: Set up the polynomial long division problem with a division bracket, putting the numerator inside and the denominator on the left:

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9

To eliminate the leading term of the numerator, x^3, multiply x + 3 by x^2 to get x^3 + 3 x^2. Write x^2 on top of the division bracket and subtract x^3 + 3 x^2 from x^3 + 9 x^2 + 21 x + 9 to get 6 x^2 + 21 x + 9:

| | | x^2 | | | |

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9

| -(x^3 | + | 3 x^2) | | | |

| | | 6 x^2 | + | 21 x | + | 9

To eliminate the leading term of the remainder of the previous step, 6 x^2, multiply x + 3 by 6 x to get 6 x^2 + 18 x. Write 6 x on top of the division bracket and subtract 6 x^2 + 18 x from 6 x^2 + 21 x + 9 to get 3 x + 9:

| | | x^2 | + | 6 x | |

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9

| -(x^3 | + | 3 x^2) | | | |

| | | 6 x^2 | + | 21 x | + | 9

| | | -(6 x^2 | + | 18 x) | |

| | | | | 3 x | + | 9

To eliminate the leading term of the remainder of the previous step, 3 x, multiply x + 3 by 3 to get 3 x + 9. Write 3 on top of the division bracket and subtract 3 x + 9 from 3 x + 9 to get 0:

| | | x^2 | + | 6 x | + | 3

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9

| -(x^3 | + | 3 x^2) | | | |

| | | 6 x^2 | + | 21 x | + | 9

| | | -(6 x^2 | + | 18 x) | |

| | | | | 3 x | + | 9

| | | | | -(3 x | + | 9)

| | | | | | | 0

The quotient of (x^3 + 9 x^2 + 21 x + 9)/(x + 3) is the sum of the terms on top of the division bracket. Since the final subtraction step resulted in zero, x + 3 exactly divides x^3 + 9 x^2 + 21 x + 9 and there is no remainder.

| | | x^2 | + | 6 x | + | 3 | (quotient)

x + 3 | x^3 | + | 9 x^2 | + | 21 x | + | 9 |

| -(x^3 | + | 3 x^2) | | | | |

| | | 6 x^2 | + | 21 x | + | 9 |

| | | -(6 x^2 | + | 18 x) | | |

| | | | | 3 x | + | 9 |

| | | | | -(3 x | + | 9) |

| | | | | | | 0 | (remainder) invisible comma

(x^3 + 9 x^2 + 21 x + 9)/(x + 3) = (x^2 + 6 x + 3) + 0

Write the result in quotient and remainder form:

Answer: x^3 + 9 x^2 + 21 x + 9 = (x^2 + 6 x + 3)×(x + 3) + 0

Answer:

Sale Price = $36

Step-by-step explanation:

To find the sale price, you need to find what 10% of the original price is. 10% of $45 is $4.50. Now we need to find what 20% is, 20% is double 10% so we multiply the answer we got by 2. This equals to $9. The question is asking for the sale price, to find it you have to subtract $9 (the discount) from $45 (regular price). The answer you should get is $36.

Equation:
$45 ÷ 10 = $4.50
$4.50 × 2 = $9
$45 - $9 = $36

Answer:

Sector AOB: 3.87

Sector BOC: 7.74

Sector COD: 5.16

Sector DOE: 3.01

Sector AOE: 11.19

Explanation:

Equation used: [tex]S=\frac{r^2*a}{2}[/tex]

The probability that the sum is strictly larger than 21 is P = 0.46

We already have a 10 and a 4, so: 10 + 4 = 14

To sum more than 21, we need to draw at least an 8.

On the deck there are:

So, 23 out of 50 cards meet our requirements. So the probability will be:

P = 23/50 = 0.46

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

475 km

Step-by-step explanation:

(40 + 45 + 50 + 35 + 55  km +  50 *5 km)  

Answer:

third side ≈ 19.8

Step-by-step explanation:

using Pyjthagoras' identity in the right triangle.

the square on the hypotenuse x is equal to the sum of the squares on the other 2 sides, that is

x² = 13² + 15² = 169 + 225 = 394 ( take square root of both sides )

x = [tex]\sqrt{394}[/tex] ≈ 19.8 ( to the nearest tenth )

Answer:

the first choice :)

Step-by-step explanation:

Answer:

Option A:   A = {CBA, CAB, BCA, ACB}

Answer:

14, 16, 18

Step-by-step explanation:

Three even numbers means they are seperated by a distance of 2

Write this equation

x-2+x+x+2=48

x=16

So the three even numbers are 14, 16, 18

Answer:

14, 16, 18

Step-by-step explanation:

Thats the answer the guy above me is correct

Answer:

Step-by-step explanation:

8x⁴y⁴ = 4×2×x³×x¹×y⁴ = 4x³×(2xy⁴)

12x³z² = 4×3×x³×z² = 4x³×(3z²)

Then the greatest common factor is of the two terms 8x⁴y⁴ and 12x³z² is:

4x³

Answer:

1 yard

Step-by-step explanation:

If the ribbon to begin with is 3 yards then if cut in to 3 pieces each peace would be 1 yard.

Answer:

27 = s

Step-by-step explanation:

First multiply both sides by 9. (9)6= 2s(9) turns into 54=2s. Then divide both sides by 2 to find the value for s. 54/2 = 2s/2.

Answer:

$64.83.

Step-by-step explanation:

Each year the multiplier fffor her new rate will be 1.05.

So after 30 years her hourly rate will be  15 * 1.05^30

= $64.83

Answer:

a.) 2nd quarter

b.) ur just adding up all the goals, add all the away goals and home goals from every quarter and youll get an answer of 48

c. And for this one you adding all the home goals seperatly from away goals, theres 26 home goals and 22 away goals. now 26 - 22 = 4, so the anwser is 4.

Answer:

57/10 is the simplest form

Step-by-step explanation:

To divide fractions you need to do the reciprocal rules.

You also need to convert any mixed numbers to improper to make them easier to divide.

4 3/4 and 5/6 are your fractions.

4 3/4 converted into an improper fraction is 19/4

This is because the rule with this is that you take your whole number multiply it by the denominator and take the product and add it to the numerator.

19/4 divided by 5/6.

You need to flip 5/6 to 6/5 due to the reciprocal rules and also change the division sign to a multiplication sign.

19/4 x 6/5

You can multiply straight across!

19 x 6 and 4 x 5

19 x 6 = 114

4 x 5 = 20

Our answer: 114/20

We still need to simplify this answer

We can divide this result into 2/2.

114/20 = 57/10

57/10 is the simplest form. If you were to divide more, you will get involved with decimals.

Answer: 57/10 is the simplest form

Step-by-step explanation:

You also need to convert any mixed numbers to improper to make them easier to divide.

4 3/4 and 5/6 are your fractions.

4 3/4 conerted into an improper fraction is 19/4

This is because the rule with this is that you take your whole number multiply it by the denominator and take the product and add it to the numerator.

19/4 divided by 5/6.

You need to flip 5/6 to 6/5 due to the reciprocal rules and also change the division sign to a multiplication sign.

19/4 x 6/5

19 x 6 and 4 x 5

19 x 6 = 114

4 x 5 = 20

Our answer: 114/20

We still need to simplify this answer

We can divide this result into 2/2.

114/20 = 57/10

57/10 is the simplest form. If you were to divide more, you will get involved with decimals.

Answer:

70 servings

Step-by-step explanation:

3 and 1/2 lbs is equal to 14/4. If 1/4 lbs of ground beef makes 5 servings, and you have 14/4, simply multiply 5 by 14.

Answer:

Ricardo can make 70 servings of lasagna.

Step-by-step explanation:

3.5 divided by 0.25 = 14

14 x 5 = 70

Since mass is neither created nor destroyed, the missing items are;

The term nuclear reaction has to do with the transformation of one nucleus to another. On this case, we are going to transform P u to c m.

Since mass is neither created nor destroyed, the missing items are;

Learn more about nuclear reaction: https://brainly.com/question/25455333?

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Answer:

A: 242
B: 96
C: 1
D: 0

Step-by-step explanation:

Answer:

a. What is the slope of the line?

[tex]y = -3x-3[/tex]

b. What is the x-intercept of the line? (Where does the line cross the x-axis?)

[tex](-1,0)[/tex]

c. What is the y-intercept of the line? (Where does the line cross the y-axis?)

[tex](0, -3)[/tex]

Step-by-step explanation:

Calculate slope:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3[/tex]

Calculate y-intercept:

(Pick any point that lies on the line)

[tex](-1,0)[/tex]

[tex]b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3[/tex]

Create function:

[tex]y = -3x-3[/tex]

Get x-intercept:

Set y = 0:

[tex]0 = -3x-3\\3 = -3x\\-1 =x[/tex]

[tex](-1,0)[/tex]

Get y-intercept:

Set x = 0:

[tex]y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3[/tex]

[tex](0, -3)[/tex]

Using proportions, it is found that it will take 4 hours for Phoebe to catch Candice.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Given their velocities, and the fact that they travel in the same direction, each hour, Phoebe gets 10 mph closer to Candice.

The initial distance is of 40 miles, 40/10 = 4, hence it will take 4 hours for Phoebe to catch Candice.

More can be learned about proportions at https://brainly.com/question/24372153

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A) multiply by 2 both sides, canceling the ÷ by 2

4x - 1 = 2x + 14

+1

4x = 2x +15

-2x

2x. = 15

÷2

x = 7.5

B) mutiply 3 both sides

9x + 6 = 2x + 13

-6

9x. = 2x + 7

-2x

7x. = 7

÷1

x = 1

Hope this helps!

Answer:

109

Step-by-step explanation:

as we can see x is an outer exterior angle and according to its property sum of an interior angle and an outer exterior angle = 180

The interior angle is 40+31 = 71

71 + x = 180

x = 180 -71

therefore x = 109

Answer:

k = 60°

Step-by-step explanation:

y and z are parallel with each other against x line.

So we can make (2k+11)° = 131° and then solve for k.

2k + 11 = 131°

2k = 131° - 11°

2k = 120°

k = 60°

Answer:

graph B represents the pattern best .

Step-by-step explanation:

hope it will help you

The volume of the cylinder with a radius of 6 cm and a height of 18 cm is calculated, to the nearest hundreth, as: 2035.75 cm³.

Volume of a cylinder = πr²h

Given the parameters of the cylinder:

Volume of the cylinder = πr²h = π(6²)(18)

Volume of the cylinder = 2035.75 cm³

Learn more about the volume of a cylinder on:

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Answer: Median is 19, Mean is 27.666..7

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Answer:

19

Step-by-step explanation:

fore refrence, heres the data from least to greatest, this is important for this question

11, 11, 14, 24, 27, 79

since the points for this set is even (6 points in the data set) we first need to devide it into two groups at the center

11, 11, 14 and 24, 27, 79

then take the two numbers from the inside ends ((in bold)) and find the average between them, since these are the centermost numbers in the full set

14 + 24 = 38
38 / 2 = 19

therefore the median for the dataset is 19

Answer:

b

Step-by-step explanation:

The AAA Triangle Similarity Postulate asserts that if all of the angles in a triangle are equal to the corresponding angles in another triangle, then those two triangles are equal. Since every equilateral triangle's angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.

Answer:

x = 4

Step-by-step explanation:

x + 1 = 5

   - 1     -1

5 - 1 = 4

x = 4

Answer:

here, hope it helps

Step-by-step explanation:

17. A

18. B

19. A

Answer:

No

Step-by-step explanation:

1240/24 = 51.6

It will give you a decimal so therefore it will not go evenly