What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)? x + 2 x – 2 x + 10 x + 6

Answers

Answer 1

Answer:

x + 2

Step-by-step explanation:

If we know one of the factors, we should be able to use long division.

We can divide the trinomial by the binomial and find the other factor.

                 x  +  2                  

x² + 4x + 3)x³ + 6x² + 11x + 6

                  x³ + 4x² + 3x

                         2x² + 8x + 6

                         2x² + 8x + 6

                                           0

Thus,

[tex]\dfrac{x^{3} + 6x^2 + 11x + 6} {x^{2} + 4x + 3} = \mathbf{x + 2}[/tex]

Answer 2

Answer:

x+2

Step-by-step explanation:


Related Questions

I need help pleassseee

Answers

Answer:

The length of the radius is 3cm.

Step-by-step explanation:

Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 6 \div 2[/tex]

[tex]radius = 3cm[/tex]

Answer:

[tex]6^{2} - 3^{2} \pi[/tex] = area of the black  7.725666

[tex]x^{2} - r^{2} \pi[/tex]

area of square - area of circle

the diameter of the circle is 6 and half that is the radius = 3

There are 7 red cards and 13 blue cards

in a deck of cards. If Yuki randomly

selects a card from the deck, what is the

probability that it is a red card?

Answers

Answer:

7/20

Step-by-step explanation:

#red cards/total # of cards

7/(7+13)

7/20

Answer:

7/20

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

3.9

Step-by-step explanation:

cost = 24.40

subtract the cost of beads from the total cost.

24.40-8.8=15.6

divide that by four because there are 4 necklaces

15.6/4=3.9

If y = 7x - 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (5 points)

О2, 7), (1, 6), (3, 13))

(1, 3), (6, 18), (8, 15))

(о, -5), (2, 9), (-3, -26)

О (-5, 0), (9, 2), (-26, -3)

Answers

Answer:

The Third One (0,-5) (2,9)

Step-by-step explanation:

Subtract y2-y1 and x2-x1 and the equation will come out as y=7x-5

help me pls :((((((((((

Answers

Answer:

1040ft

Step-by-step explanation:

17x20

15x8x2

15x20

8x20

add it all up and u will get the ans :)

920 ft squared. The SA is the sum of the areas of all the sides. So you find the areas of all the sides then add them up and put what we unit it is squared. or to the second power.

Can someone help me with this problem? {18 points}

Answers

Square = 2
Triangle = 3
Circle = 1
Circle + Square * Triangle = 7

Answer:

Square = 2

Triangle = 3

Circle = 1

= 7

Step-by-step explanation:

1 square = 2

2 × 2 × 2 = 8

1 triangle = 3

2 × 3 × 3 × 3 = 54

1 circle = 1

2 × 3 × 1 × 1 = 6

1 + 2 × 3 = 7

ANYONE HELP, WILL GIVE BRAINLIEST ANSWER
Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
Double a​ number, minus the sum of the number and two

Answers

Answer:

x - 2

Step-by-step explanation:

Rewrite this symbolically:  "Double a​ number, minus the sum of the number and two"

Let x represent the unknown number.

Then:           2x - (x + 2), or 2x - x - 2, or x - 2

Two jokers are added to a 52 card deck and the entire stack of 54 cards is shuffled randomly. What is the expected number of cards that will be strictly between the two jokers?

Answers

Answer: 52/3

Step-by-step explanation:

Each card has an equal likelihood of being either on top of the jokers, in between them,

or below the jokers. Thus, on average, 1/3 of them will land between the two jokers.

Answer:

52/3

Step-by-step explanation:

The probability that they will be landed on is 52/3

how to solve 4(7-3x)=7(4-2x)

Answers

Answer:

Step-by-step explanation:

First, you distribute the 4 and 7 to the stuff inside the parentheses 28 - 12x = 28 - 14x then add 28 to both sides -12x = -14x then add 14x to both sides 2x = 0 then divide both sides by 2 x = 0

Answer:

x=0

Step-by-step explanation:

4(7-3x)=7(4-2x)

Distribute

28 -12x = 28 -14x

Subtract 28 from each side

-12x = -14x

Add 14x to each side

-12x+14x = -14x+14x

2x=0

x =0


The diameter of a sphere is 2 ft. What is the sphere's volume? Round to the nearest tenth.
A) 4.2 ft3
B) 8.1 ft3
C) 16.8 ft3
D) 33.5 ft3

Answers

Answer:

4.19 ft ^3 or A.

Step-by-step explanation:

Answer:

A) 4.2 ft3

Step-by-step explanation:

option a is correct ✔✔✔

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation? A. x + y = 3 and x minus 3 y = negative 27 B. x + y = 3 and x minus 3 y = negative 9 C. x minus y = 3 and x minus 3 y = negative 27 D. x minus y = 3 and x minus 3 y = negative 9

Answers

Answer:

D. x - y = 3 and x - 3 y = - 9

Step-by-step explanation:

The descriptions above describe the equation of choice D, so I pick this answer.

Answer:

D

Step-by-step explanation:

just took the test

A password needs to be set up. Which method would have the highest number of
outcomes possible?

Answers

Answer:

the permutation of the alphabet or mixed (digits and letters)

Step-by-step explanation:

We are asked which method gives the greatest number of possible results when you want to configure a password, in this case our option is through combinations or permutations.

In a password the order matters, therefore it would be by the permutations method.

When creating a password it can be created with digits or letters, in general terms, digits are in less quantity than letters, therefore the greatest possible number would be through the permutation of the alphabet.

Although if you can do a mixed password, the result could have a higher number of outcomes

A fair coin is tossed four times. What is the probability that heads (H) will appear at least twice?

Answers

Answer:

50%

Step-by-step explanation just is

Answer:

the answer for this is 50%

Will Mark Branliest What is the approximate mean absolute value for the data shown in the dot plot? 1.09 0.92 2 6

Answers

it would be 6 because if you take away an x from each side you eventually get 6

Answer:

Population size:11

Mean (μ): 6

Mean Absolute Deviation (MAD): 1.09

Anyone can Answer 20x + 40 = 80 clear x please

Answers

Answer:

X=2

Step-by-step explanation:

20x+40=80

20x+40-(80)=0

20x-40=0 20x=40

 x=40/20

X=2

20x + 40 = 80
20x = 80-40
20x = 40
X = 2

What is the value of [1.1]? –2 –1 0 1

Answers

Answer:

The answer is -2.

Step-by-step explanation:

Answer:

-2 :D

Step-by-step explanation:

Just did the test:)

Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed? 1 2 8 10

Answers

Answer: B: 2

Step-by-step Explanation

Answer:

C, 8

Step-by-step explanation:

I took the test on edge 2021

What is the coordinate of point P that lies along the directed line segment from Q(2,5) to R7, 12) and partitions the segment in the ratio of 3 to 2?
Your answer.
0 (3, 42)
O(4.5, 8.5)
O (5,9.2)
O (5,7)
Clear answer​

Answers

Answer:

Step-by-step explanation:B

Evaluate f(-4) for the function f(x) = 5 - X.

Answers

Answer:

9

Solution,

[tex]f(x) = 5 - x \\ f( - 4) = 5 - ( - 4) \\ \: \: \: \: \: \: \: \: \: \: \: = 5 + 4 \\ \: \: \: \: \: \: \: \: \: = 9[/tex]

hope this helps....

Good luck on your assignment...

The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?​

Answers

Answer:

$22.95/hour.

Step-by-step explanation:

It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.

Let as consider x be the national average.

11% above the national average is

[tex]x+\dfrac{11}{100}x=x+0.11x=1.11x[/tex]

The average wage for an electrician in CA is 11% above the national average. So,

[tex]1.11x=25.47[/tex]

Divide both sides by 1.11.

[tex]x=\dfrac{25.47}{1.11}[/tex]

[tex]x=22.945945...[/tex]

[tex]x=22.95[/tex]

Therefore, the national average is $22.95/hour.

Answer: 22.95

Step-by-step explanation:

the bearing of m from N is 70 degree what is the bearing gor N from M ?​

Answers

Answer:

250°

Step-by-step explanation:

The bearing of N from M is 70° + 180° = 250°

Which system of inequalities is shown?

Answers

Answer:

I'm 90 percent sure the answer is A.

Step-by-step explanation:

please help, i need to pass. which function represents the inverse of function f below? ​

Answers

Answer:

B

Step-by-step explanation:

If you switch the x and y you can solve for the inverse by solving for y like this:

x=3y+5

3y=x-5

y=(x-5)/3

which can be rewritten as B.

Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line "r" show your working

Answers

Answer:

Line r has a gradient of -1/2

Step-by-step explanation:

Perpendicular lines have a gradient of negative reciprocal to each other such that multiplying both the slopes give -1

=> Gradient of this line = 2

=> Gradient of line perpendicular to it = [tex]\frac{-1}{2}[/tex]

Multiplying both gradients:

=> 2 * [tex]\frac{-1}{2}[/tex]

=> -1

(SO They are perpendicular!)

Penny sells knitted scarves for 12$ each. The cost of supplies to make each scarf is x dollars. How much profit will Penny make if she sells y scarves?

Answers

Answer:

If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.

Step-by-step explanation:

Answer:

the answer is y(12-x)

Step-by-step explanation:

i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee

12. Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.
A) c = 25 + 10p + 5h
B) c = 25 – 10p – 5h
C) c + 25 = 10p + 5h
D) c = 25 + 10 + 5

Answers

Answer:

Step-by-step explanation:

the answer is A

BECAUSE the fixed charged or the charged that is always there is 25 dollars plus and additional cost for 10 dollars per person plus additional cost depending on how many hours u stay past 10 am

the correct answer is a
25+10+5=c

hi can anybody help me with this i will mark them as brainliest

Answers

Answer:

5.75 cm²

Step-by-step explanation:

→ Utilise the area of a triangle formula

Area of a triangle = 0.5 × Base × Height

→ Identify base and height in the triangle

Base = 4.6 cm

Height = 2.5 cm

→ Substitute in the values into the area of a triangle formula

Area of a triangle = 0.5 × 4.6 × 2.5

→ Simplify

Area of a triangle = 5.75 cm²

Area of a triangle = 1/2 x base x height

= 1/2 x 4.6 x 2.5

= 5.75 sq. cm

For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelogram, if DG = GH, AB = 39 in, GP = 12 in.

Answers

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]

[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]

∠GAB = 22.62°

[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]

[tex]GH = \dfrac{39}{36} \times {12}[/tex]

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

Answer:

360 in2

Step-by-step explanation:

The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.

The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.

The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD

The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.

In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:

DG + GH + HC = AB = 39

GH + GH + GH = 39

GH = 13

in the parallelogram we have the property:

mDAB + mABC = 180°

We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:

mGAB + mABH + mBPA = 180

mDAB/2 + mABC/2 + mBPA = 180

(180/2) + mBPA = 180

mBPA = 90°

If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:

cos(mHGP) = GP / GH = 12 / 13

Then, we can find the sine of mHGP using:

sin(mHGP)^2 + cos(mHGP)^2 = 1

sin(mHGP)^2 + 144/169 = 1

sin(mHGP)^2 = 25/169

sin(mHGP) = 5/13

If we draw the height of the triangle GPH relative to the side GH, we have:

sin(mHGP) = height / GP

5 / 13 = height / 12

height = 60/13

The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:

height / (h2+height) = GH / AB

(60/13) / (h2 + (60/13)) = 13/39 = 1/3

180 / 13 = h2 + (60/13)

h2 = 120/13

Then the area of the parallelogram is:

Area = AB * h2 = 39 * 120/13 = 360 in2

For every 168 ice cream cones made 6 will break.if 392 ice cream cones are made what is the greatest number of cones that will break?

Answers

Answer:

Closest answer I could get was 12

How does a male get circumcised?

Answers

Answer: the excess skin is surgically removed

Step-by-step explanation:

Answer:

Step-by-step explanation:

two parallel incisions are made around the penis—one upstream from the skin that's set to be removed and one downstream. Then, we unwrap the excess skin from the penis and sew the two remaining edges back together.

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