Use long division to find the quotient below.
(2x3 + x2 + 25) /(2x+5)

Answers

Answer 1

Answer:

x^2               -2x              +5

Step-by-step explanation:

x^2               -2x              +5

           ----------------------------------------------------------

2x + 5  /    2x^3      +     x^2       +    0x         + 25

              -(2x^3      +   5x^2)

             ----------------------------

                                   -4x^2       +    0x        

                                 -( -4x^2      -    10x )

                                  -----------------------------------------

                                                          10x           + 25

                                                        -(10x            + 25)

                                                        ---------------------------

                                                                                  0

The desired quotient is x^2               -2x              +5

             


Related Questions

PLS HELP ILL MARK BRAINLIST

Answers

Answer:

76 m²

Step-by-step explanation:

The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:

Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

✔️Area of rectangle 1:

Area = L*W

L = 2 m

W = 4 m

Area = 2*4 = 8 m²

✔️Area of rectangle 2:

Area = L*W

L = 4 m

W = 6 - 4 = 2 m

Area = 4*2 = 8 m²

✔️Area of rectangle 3:

Area = L*W

L = 10 m

W = 6 m

Area = 10*6 = 60 m²

✅Area of the figure = 8 + 8 + 60

= 76 m²

If two line segments are congruent, which of the following must be true?
A.
They are equal.
B.
They have equal lengths.
C.
They share an endpoint.
D.
They form a right angle.

Answers

They have equal lengths is the correct answer

A. They are equal since they are both congruent

1.


For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.


A. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = –x2 + x


B. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + x + 1


C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = x2 – x + 1


D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1

Answers

Answer:

D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1

Step-by-step explanation:

A. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 1 /2 , 1 /4 )

Focus:  

( 1 /2 , 0 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

− 6

− 1

− 2

1

2

1

4

1

0

2

− 2

B. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 /2 , 3 /4 )

Focus:  

( − 1 /2 , 1 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

3

− 1

1

− 1

2

3

4

1

3

2

7

C. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 1 /2 , 3 /4 )

Focus:  

( 1 /2 , 1 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

7

− 1

3

1

2

3

4

1

1

2

3

D. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 , 0 )

Focus:  

( − 1 , 1 /4 )

Axis of Symmetry:  

x

=

− 1

Directrix:  

y

=

− 1

4

x

y

− 3

4

− 2

1

− 1

0

0

1

1

4

What is the predicted end-of-year value of a portfolio that begins the year with $200, in stocks and $100 in bonds?

Answers

Answer:

$318

Step-by-step explanation:

Calculation to determine the predicted end-of-year value of a portfolio

Given expression 1.08s + 1.02b

Now let determine the Predicted end-of-year value

Predicted end-of-year value=1.08(200) +1.02(100)

Predicted end-of-year value=216+102

Predicted end-of-year value=$318

Therefore the predicted end-of-year value of a portfolio will be $318

Simplify: 10(-5x+4) A 5x + 4 B - 50x + 4 - 50x + 40 5x + 40​

Answers

Answer:

-50x+40

Step-by-step explanation:

If you fold the number line so that the vertical crease goes through 0,the points you label would match up explain why this happens

Answers

Answer:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.

Step-by-step explanation:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line  to match up with with the points on the opposite side

please help im very confused

Answers

Answer:

option D : 130°

Step-by-step explanation:

m∠2 = m∠7 = 130° , (corresponding angles)

If an earthquake measures 10^4, what does it measure on
the Richter scale?

Answers

Answer:

The Richter scale and how it measures earthquake magnitude. The Richter scale calculates an earthquake's magnitude (size) from the amplitude of the earthquake's largest seismic wave recorded by a seismograph. ... (That is, an earthquake measuring 5.0 releases 31 times more energy than an earthquake measuring 4.0.)

3h - j when h = 8 and j = 11
plzzz help

Answers

Answer:

13

Step-by-step explanation:

3h - j

3(8) - 11

24 - 11

13

2. In Arabella's homeroom class there are 8 girls and 12 boys, including her. 2 points
One student will be randomly selected to take attendance. What is the
probability that the student will be a girl? (SIMPLIFY) *
2/5
1/2
3/5
2/3

Answers

Answer:

the probability is 2/3

Step-by-step explanation:

you want to divide 8 by 12

PLEASE HELP IF YOU CAN, I REALLY NEED IT! THANK YOU

The diameter of a circle is 35.7 yards. The circle's circumference is about ___ yards.

Use 3.14 for ​.

Answers

Answer:

I think the answer is 112.098 yards

Answer:

112 yards

It's 112.098, but the question says "about _____ yards", so I'd round it.

Step-by-step explanation:

Circumference is calculated by (2)(pi)(radius) or (pi)(diameter). We'll use the second one, since they gave you the diameter.

C = (pi)(diameter)

C = (3.14)(35.7)

C =112.098

I NEED HELP PLEASE IT WOULD HELP ME ALOT

Answers

Answer:

62 degrees

Step-by-step explanation:

Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.

If the sales tax for the city of Los Angeles is 9.75%, how much tax would you pay for an item that costs 200?

Answers

Answer:

19.5 dollars

Step-by-step explanation:

9.75% of 200 is 19.5

help i don’t know what to do here!

Answers

Answer:

Find the are

Step-by-step explanation:

pi method

solve b=3/4 a
a+b=21

Answers

Answer:

20.25

Step-by-step explanation:

21-3/4=20.25

Answer:

Step-by-step explanation:

a+b=21

a=21-b

b=3/4*a

b=3/4*(21-b)

b=3(21-b)/4

b=63-3b/4

4*b=63-3b

4b+3b=63

7b=63

b=63/7

b=9

Hooooooyooo I need help

Answers

Given:

The height of the triangular prism is 15 cm.

The side lengths of the base are 3 cm, 4 cm and 5 cm.

To find:

The lateral surface area of the prism.

Solution:

The lateral surface area of the prism is:

[tex]LSA=Ph[/tex]

Where, P is the perimeter of base and h is the height of the prism.

We know that the perimeter of base is the sum of all sides of the base.

The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.

So, the lateral surface area of the prism is:

[tex]LSA=(3+4+5)\times 15[/tex]

[tex]LSA=(12)\times 15[/tex]

[tex]LSA=180[/tex]

Therefore, the lateral surface area of the prism is 180 square cm.

The figure below is a regular pentagon. If mZBAE = 5x + 3, find the value of x.

Answers

Answer:

x = 21

Step-by-step explanation:

For a pentagon, n = 5.

Each angle measures:

(n - 2)180/5 = (5 - 2)(180)/5 = 108

5x + 3 = 108

5x = 105

x = 21

The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.
please help me

Answers

Answer:

[tex]22[/tex]

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for [tex]?[/tex]:

[tex]\frac{28}{42}=\frac{?}{33}[/tex] (divide corresponding sides)

[tex]\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}[/tex]

Com a entrada da Rita a classe ficou com 20 alunos a média das idades destes 20 alunos é 13,2 anos
No final da primeira semana dois alunos de 15 anos abandonaram a classe
Qual passou a ser a média

Answers

Answer:

New avaerage if 2 students (15 year old) left = 13

Step-by-step explanation:

Given:

Average age of 20 students = 13.2

Find:

New avaerage if 2 students (15 year old) left

Computtaion:

Sum of all 20 student's age = 20 x 13.2

Sum of all 20 student's age = 264

Sum of current 18 student's age = 264 - 15 - 15

Sum of current 18 student's age = 234

New avaerage if 2 students (15 year old) left = 234 / 18

New avaerage if 2 students (15 year old) left = 13

10 – 2x + 3 = 5x – 9 + 4x

please help me solve this equation

Answers

Answer:

x=2

Step-by-step explanation:

Hi there!

Whenever we're solving an algebraic equation, our goal is always to isolate the variable, which in this case is x. We would do this by performing inverse operations on both sides of the equal sign to cancel values out.

[tex]10-2x + 3 = 5x-9 + 4x[/tex]

Combine like terms on both sides of the equal sign

[tex]10+ 3-2x = 5x+ 4x-9 \\13-2x = 9x-9[/tex]

Add 2x to both sides to cancel out -2x (addition is the inverse of subtraction)

[tex]13-2x +2x = 9x-9 +2x\\13 = 11x-9[/tex]

Add 9 to both sides to cancel out -9 and isolate 11x (addition is the inverse of subtraction)

[tex]13+9 = 11x-9+9\\22=11x[/tex]

Divide both sides by 11 to isolate x (division is the inverse of multiplication)[tex]\frac{22}{11} =\frac{11x}{11} \\2=x[/tex]

Therefore, x=2.

I hope this helps!

i need the answer to this question? thxs

Answers

Answer:

RS = 19

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is

- 5x + 44 = [tex]\frac{1}{2}[/tex] (18 + 4x) ( multiply both sides by 2 to clear the fraction )

- 10x + 88 = 18 + 4x ( add 10x to both sides )

88 = 18 + 14x ( subtract 18 from both sides )

70 = 14x ( divide both sides by 14 )

5 = x

Then

RS = - 5x + 44 = - 5(5) + 44 = - 25 + 44 = 19

A car travels a distance of 360 km in a time of 3 hours.
What is the car's average speed?

Answers

Answer:

convert km into m

1 km=1000m

360 km=1000*360m

=360000m

again,convert 3 hours into seconds

3 hours=60*60*3

=10800 second

average spped=total distance /time taken

=360000/10800

=33.33 m/s

Step-by-step explanation:

-4x+2=-13 solve for x

Answers

Answer:

x = 3.75

Step-by-step explanation:

-4x + 2 = -13

-4x = -13 - 2

-4x = -15

x = 3.75

Answer:

-13

Step-by-step explanation:

just think about it

Find the measure of the missing angle.
A
43°
Help ASAP plz

Answers

Answer:

47

Step-by-step explanation:

The missing angle is complementary to the angle shown and together they from 90.

Your missing angle is 90 - 43

Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7

Answers

Answer:

1/4¹⁰

Step-by-step explanation:

this is the the simplified version for the question

Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??

Answers

Answer:

$1182.65

Step-by-step explanation:

Given :

Fortnight gross pay = $1300

Given :

PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay

FNPF = 5% = 0.05 * $1300 = $65

PAYE = $31.85 ; HEALTH INSURANCE = $20.50

Total deduction = $(65 + 31.85 + 20.50) = $117.35

Net pay :

Gross pay - deduction

$1300 - $117.35 = $1182.65

15 minutes before 5 in the morning is written as _:__a.m.​

Answers

Answer:

It's

Step-by-step explanation:

4:45am. That's the correct answer

15 minutes before 5 in the morning is written as 4:45am

867 runners entered a race. 276 more entered before
the race started. How many runners are in the race?
A
1,143
B
591
1,043
D
239,292

Answers

Answer:

a

Step-by-step explanation:

calculator

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Answers

Answer:

x=67

y=40

The angles equal 63 and 117

Step-by-step explanation:

88% sure

If you help me I give you brainlist

Answers

Step-by-step explanation:

I used Pythagoras Theorem to find the diagonal distance as placement of objects is right angles triangle.

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

a : Elm street

b : Birch street

c : Diagonal distance

c^2 = a^2 + b^2

c^2 = 15^2 + 8^2

c^2 = 225 + 64

c = √289

c = 17 blocks

I added the total distance of the original route Joline took

= 15 blocks + 8 blocks

= 23 blocks

How much less distance does she have to walk if she took the diagonal route

= Total distance of original route - distance of diagonal route

= 23 - 17

= 6 blocks

Joline have to walk less 6 blocks if she took the diagonal route compared to her original route

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