Using long division to find the quotient, what changes do you first
need to make to the dividend (125x3 - 8)?


(125x3 – 8) = (5x – 2)

Answers

Answer 1

Answer:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Step-by-step explanation:

Given

[tex]Dividend = 125x^3 - 8[/tex]

[tex]Divisor = 5x - 2[/tex]

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

[tex]\frac{125x^3}{5x} =25x^2[/tex]

Write [tex]25x^2[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]

[tex]= 125x^3 - 50x^2[/tex]

Subtract from 125x^3 - 8

i.e.

[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]

Step 2:

Divide 50x^2 by 5x

[tex]\frac{50x^2}{5x} = 10x[/tex]

Write [tex]10x[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]

[tex]= 50x^2 - 20x[/tex]

Subtract from 50x^2 - 8

i.e.

[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]

Step 3:

Divide 20x by 5x

[tex]\frac{20x}{5x} = 4[/tex]

Write [tex]4[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]4[/tex]

[tex]= 20x - 8[/tex]

Subtract from 20x - 8

i.e.

[tex]20x - 8 - (20x - 8) = 0[/tex]

Hence:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Using Long Division To Find The Quotient, What Changes Do You Firstneed To Make To The Dividend (125x3

Related Questions

4.What is .08 written as a percent? (Hint: add the "%" symbol or it will be marked wrong.)

Answers

Answer:

8%

Step-by-step explanation:

.08 x 100 = 8%

A story owner wants to prepare 100 lb of a candy mix that she will she for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost?

Answers

Answer:

1.65

Step-by-step explanation:

100 pounds of the mixture = 1.36 * 100 = 136 dollars.

She uses 20 pounds of jelly beans that cost

20 * .20   = 4.00

136 - 4 = 132 dollars left for 80 pounds of sugar candies.

80 pounds = 132 pounds of sugar candies.

1 pound =  x

80/1 = 132 / x             Cross multiply

80x = 132

x = 132 / 80

x = 1.65 / per pound

The length of a rectangle is 36
centmeters and the width is 9
centimeters. A similar rectangle has
a width of 3 centimeters.
what is
the length of the decond triangle?

Answers

Answer: 12cm

Step-by-step explanation:

They are similar, so we can set an equation of:

the ratio of length and width of the big triangle equal to the ratio of length and width of the small(second) triangle.

36:9 = x:3

36/9 = x/3

9x = 3(36)           by use the cross multiply

9x = 108

x = 12 cm

I need help with this plz help

Answers

Answer:

Septagon or irregular polygon

Complete the equation of the line through (2, -2) and (4, 1)

Answers

Answer:

y=1.5x-5

Step-by-step explanation:

.) A company uses a medium-size box to ship different equipment. The table shows the weight
of the equipment and the total weight of the package.
) Which statement is true?
Weight of Total Weight of
Equipment (oz), w Package (oz), P
49
The equation p= 3w models
the relationship
3
6
6
9
If the weight of the equipment is
20 oz, then the total weight of the
package is 23 oz.
12
15
If the weight of the equipment is
15 oz, then the total weight of the
package is 30 oz.
To find any value of p, subtract 3
from the corresponding value of w.

Answers

Answer:

If the weight of the equipment is 20oz, then the total weight of the package is 23 oz.

Step-by-step explanation:

The value of the variable p determines the package's overall weight. The true statement in the scenario given is provided by: Option 3: If the equipment weighs 20 oz, the package will weigh a total of 23 oz.

What is relationship between two variables?

To examine if there is a relationship between the two variables in the tabular data, we can try fitting a curve to the data between the two variables.

Depending on the situation, there may be an exact relationship, a loose connection (measured by correlation or polynomial regression that fits), or even complete independence.

For the given case, two variables in consideration are:

w = weight of equipment (oz, it means weight is calculated in oz units).

p = total weight of package (in oz)

From the table, we can see that for each value of w, the value of p is 3 more than whatever value of w is there.

Thus, the correct option is 3.

For more details regarding linear relationship, visit:

https://brainly.com/question/498084

#SPJ5

During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation ⅓ d = t. A graph of the equation includes the point (12, 4). Identify the independent variable. What does the point (12, 4) represent in this situation? What point would represent the time it took to walk 7 ½ miles?

Answers

Answer:

The Indapendent virable is: t

Noah took 4 hours to walk 12 miles

(7 1/2, 2 1/2)

Step-by-step explanation:

I hope this is right!

The point that represents the time it took to walk 7 ½ miles is (2.5, 7.5).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
The independent variable in this situation is time (t).

Point (12, 4) represents that Noah walked for 4 miles in 12 hours.

To find the point that represents the time it took to walk 7 ½ miles, we need to solve for t in the equation ⅓ d = t.

Substituting d = 7.5, we get:

⅓ (7.5) = t

Simplifying, we get:

t = 2.5

Therefore, the point that represents the time it took to walk 7 ½ miles is (2.5, 7.5).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ3

A cone has a height of 5 cm, and the radius is 2 cm. Calculate the volume.

Answers

Answer:

20.9 cm^3

Step-by-step explanation:

the answer is 20.9cm^3.

you will explain how to go about solving for the unknown letters A B C D using your angle vocabulary /concepts. Organize your sentences in a way that clearly emphasis your understanding of this unit.
Angle vocabulary/ concepts :

Supplementary Angle

Transverse Angles

Complimentary Angle

Triangle Sum Theorem

Right Angle

Straight Angle

Vertical Angel

Congruent

Parallel Lines

Answers

Answer:

To find c° go with Triangle Sum Theorem .

To find d° go with Supplementary Angle with 58°.

To find a° go with Transverse Angles.

To find b° go with Transverse Angles .

Step-by-step explanation:

c° = 180- 58 - 48 = 74°

b° = 48°

d° = 180 - 58 = 122°

a° = 58°


Write the equation of the line that passes through the points (0, -5) and (4,3)

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

See the attached images for workings

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

22,000 miles

Step-by-step explanation:

Circumference of a circle: 2πr (r is the radius)

Substitute the length of the radius given, which is 3500. Also, substitute the approximate value of π, which is 3.14.

Circumference = 2 * 3.14 * 3500

Circumference = 21980

This rounds to about 22,000, so the answer is 22,000 miles.

I hope this helps! Feel free to ask any questions!

Answer: 22,000 miles

Step-by-step explanation:

Circumference of circle = 2πr

2 × 22/7 × 3500

22/7 × 3500 = 11000

2 × 11000 = 22000

The circumference would be 22,000 miles.

OR

Circumference of circle = 2πr

2 × 3.14 × 3500

6.28 × 3500 = 21,980

21980 to the nearest 1000 is 22000

The circumference would be approximately 22,000 miles.

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 5700(0.94)

Answers

Answer:

decay, 6%

Step-by-step explanation:

0.94 < 1

1 - 0.94 = 0.06

What is the measure of abc?

Answers

Answer:

B. 260°

Step-by-step explanation:

Inscribed angle is half the measure of the intercepted arc

mABC = 360° - mAC = 360° - 2*m∠ABC = 360° - 2(50°) = 260°

Correct choice is B

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 ⅗ door. How many liters of paint are needed for 1 door?

Answers

Answer: 1.25 litres

Step-by-step explanation:

Two litres of paint is sufficient to paint  1 ⅗  doors.

To find out the amount of paint needed to paint one door, you can use direct proportion:

2 litres           :              1 ⅗  door

x                                    1 door

Cross multiply to get:

1 ⅗ x = 2

x = 2 /  1 ⅗

x = 2 ÷ 8/5

x = 2 * 5/8

x = 1.25 litres

Brainleist for answering

Answers

Answer:

=50.29

Step-by-step explanation:

The perimeter of a circle is also called the circumference

C = 2 * pi *r

25 1/7 = 2 * 22/7 *r

Rewriting as an improper fraction on the left

(25*7 +1)/7 = 44/7 *r

176/7 = 44/7 r

Multiplying each side by 7/44

7/44 *176/7 = 7/44 *44/7 r

4 = r

We can now find the area by

A = pi r^2

A = (22/7) * 4^2

A = 22/7 * 16

  =352/7

Rounding to the nearest hundredth

  =50.29

Answer:

50.95

Step-by-step explanation:

is the right answer

how do I solve this using the Pythagorean theorem​

Answers

Answer:

x=3

Step-by-step explanation:

First would need to convert the radical into a number.

And since if you have a perfect square of a radical it goes outside the square root sign, you would take the 3 and square it to make 9 and then take the 2 inside the square root sign and multiply so you have the square root of 18|

Since we have [tex]\sqrt{18}[/tex] as the Leg c we would need to square it, squaring a square root sign would just cause them to be cancelled out and you being left with 18, afterwards find the square of 3, which is 9

18-9=9

square root of 9 = 3

Describe the properties of the graph of the given polynomial functions

Answers

Answer:

graph of polynomial function is smooth and continues graph it doesn't have gap and sharp line.

Step-by-step explanation:

first we make table to joine numbers on graph then we can join the number on the graph.

(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.​

Answers

I think the answer is 12


Lindsey and Justin want to collect data to find out the favorite afterschool activities of 7th grade students at Schofield Middle School. Which
group of people should Lindsay and Justin survey to achieve the most accurate results?

A: all of the students in band.

B: a random selection of two girls and two boys for each 7th grade class.

C: a random selection of two girls and two boys from the chess club.

Answers

Lindsey and Justin must survey a random selection of two girls and two boys for each 7th grade class to get the most accurate results, so the correct choice is B.

Statistics

This is so because, since precise information is required regarding a particular group of students (7th graders), it would be correct to target members of that group to obtain the first samples of information.

That is, by going to the most reliable source, a more reliable sample would be obtained.

Learn more about statistics in https://brainly.com/question/11161989

When the other quantity increases the other quantity also iwhen the other quantity increases the other quatity also increases this shows ________ncreases this shows

Answers

Answer:

DIRECT PROPORTION

Step-by-step explanation:

Direct proportion is when an increase in the independent variable causes an increase in the dependent variable.

the equation for direct proportion is :

y = bx

y = dependent variable

b = constant

x = independent variable

for example if x = 3 b = 4

y = 12

Please help me with this

Answers

Given:

The equation is:

[tex]3^x\times 9=3^{2n-1}[/tex]

To find:

The value of n in terms of x.

Solution:

We have,

[tex]3^x\times 9=3^{2n-1}[/tex]

It can be written as

[tex]3^x\times 3^2=3^{2n-1}[/tex]

[tex]3^{x+2}=3^{2n-1}[/tex]                [tex][\because a^ma^n=a^{m+n}][/tex]

On comparing the exponents, we get

[tex]x+2=2n-1[/tex]

Add 1 on both sides.

[tex]x+2+1=2n-1+1[/tex]

[tex]x+3=2n[/tex]

Divide both sides by 2.

[tex]\dfrac{x+3}{2}=n[/tex]

Therefore, the value of n is terms of x is [tex]n=\dfrac{x+3}{2}[/tex].

Marissa bought 60 horns for her New Year’s Eve party for $83.40. She needs to purchase an additional 18 horns for the party at the same unit rate. Choose True or False for each statement.
Marissa will spend $1.49 for each horn.

Marissa will spend $25.02 on the new horns.

Marissa will have a total of 78 horns.

Marissa will spend a total of $108.42 on horns for the party

Answers

Answer:

False

True

True

True

$83.40/60=1.39 coast of each horn is $1.39 1st answer is: FALSE

18•1.39=25.02$ for additional 18 horns at the same rate, Marissa will spend 25.02$ 2nd answer is : TRUE

60+18=78 Marissa will have total of 78 horns. 3rd answer is: TRUE

83.40 + 25.02= 108.42$ Marissa will spend total of 108.42$ for all horns.
4th answer: TRUE

A bag contains 2 beads Are blue 1 of the bead is green 3 of the bead is purple

Answers

Answer:

hope I'm right good luck

Step-by-step explanation:

2x1x3=6 so the rest is 6 which equals 12

Answer:

Step-by-step explanation:

Well there are 12 beads.

2+1+3=6 and that means there are 6 red beads.

Then 6 red beads+3 Purple beads=9 Beads and 9/12 is the same as 3/4 meaning the probability of picking a purple/red bead IS 3/4

7(82-60)+3³ Evaluate the expression

Answers

Answer: 181

Step-by-step explanation: hi

!!!EASY!!!!
.
.
!!PLEASE HELP THE IMAGE IS BELOW!!

Answers

Step-by-step explanation:

The area of triangle =

4*3/2=6

The area of Rectangle=

7*4=28

The total =

28+6=34

(4a + 2)(6a^2-a + 2)

Answers

Answer:

24a^3+8a^2+6a+4

Step-by-step explanation:

(4a+2)(6a^2-a+2)

Distribute parentheses

6a^2+4a(-a)+4a :2+2 :6a^2+2(-a)+2 :2

Apply minus-plus rules

=4 6a^2a-4aa+4 :2a+2 6a^2-2+2 .2

A search and rescue drone can scan 0.5 hectare in 2 minutes. How many hectares per minute can the drone scan? 5/10 ha | 2 min = 5/10×2/1 yes or no

Answers

Answer:

Drone will take 0.25 hectare per minute to scan the area.

Step-by-step explanation:

By using unitary method,

A search and rescue drone takes 2 minutes to scan the area = 0.5 hectare.

Area scanned by the drone in 1 minute = [tex]\frac{\text{Total area scanned}}{\text{Total time taken}}[/tex]

                                                                 = [tex]\frac{0.5}{2}[/tex]

                                                                 = 0.25 hectare per minute

Therefore, drone will take 0.25 hectare per minute to scan the area.

cramers rule
hurry up plzzz​

Answers

Answer:

Answers provided below

Step-by-step explanation:

From the simultaneous linear equation, we have the coefficient matrix as;

(3 4 5)

(2 -1 8)

(5 -2 7)

The x-matrix is Dx is given by;

(18 4 5)

(13 -1 8)

(20 -2 7)

Similarly, the y-matrix Dy is given by;

(3 18 5)

(2 13 8)

(5 -20 7)

Also,the z-matrix Dz is given by;

(3 4 18)

(2 -1 13)

(5 -2 -20)

Determinant of the coefficient matrix from online determinant calculator is;

D = 136

Determinant of the x-matrix from online determinant calculator is; Dx = 92

Determinant of the y-matrix from online determinant calculator is; Dy = 696

Determinant of the z-matrix from online determinant calculator is; Dz = 576

From crammers rule;

x = Dx/D = 92/136

y = Dy/D = 696/136

z = Dz/D = 576/136

Find the measure of each angle in the isosceles trapezoid.
(I found one already)

Answers

Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

What is isosceles trapezoid?

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

Learn more about isosceles trapezoid here:

brainly.com/question/4084820

#SPJ2

PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP

USE THE PIC


10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.

Answers

Answer:

1.dd

2.Dd

3.dd

4.Dd

5.dd

Explanation:

It's genetics

   D     d

d   D     d

d   D     d

Other Questions
The perimeter of a hexagon with all equal sidesis 9.0m. How long is each side? Two cities on a map are 3 3/4 inches apart. Using the scale 1 inch = 12 miles, what is the distance between the cities? If a sheet of aluminum is 0.04. inches thick, find the height of 76,421 sheets stacked together . Please help me and I will mark you Brainliest The area of a rectangular rug is 28 m2. The length is 7 m.What is the width? NEED HELP ON THIS NOW PLEASE PLZZZ HELP ANSWER CORRECTLY!!!!Read the excerpt from "He Lion, B r u h Bear, and B r u h Rabbit from The People Could FlySay that he Lion would get up each and every mornin. Stretch and walk around. He'd roar, "ME AND MYSELF. ME AND MYSELF," like that. Scare all the little animals so they were afraid to come outside in the sunshine. Afraid to go huntin or fishin or whatever the little animals wanted to do.What does the excerpt say about the roles of different animals in the world?Small and large animals can never get along.Some animals are more powerful than others.Small animals are smarter than larger animals.All animals are equally strong and powerful. (THIS IS MY 3RD TIME ASKING THIS QUESTION) Which of the following is a type of fibrous joint? Identify the picture and explain its features. HELP! will mark brainiest answer if gotten rightttt Please help quickly . Which of these conditions is the collapse of part or all of a lung?O PneumoniaO AtelectasisChronic Obstructive Pulmonary DiseaseO AsthmaO Lung cancer Whats the value cPleaseee help A small country emits 82,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 3.5% per year for the next 6 years. In the first year of the agreement, the country will keep its emissions at 82,000 kilotons and the emissions will decrease 3.5% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 6 year period, to the nearest whole number? Stevensons Skin Saver cosmetic company went bankrupt. Her head chemist, Jaqua, buried 75 barrels of super toxic glurch on the property before they abandoned it. Which law will help enforce that they clean up their mess? a. Lacy actb. Kyoto Protocolc. SMCRAd. Superfund Act When we have day in Nepal there is night in USA. Why? Paul wants to know when gas would have cost about $1.50 per gallon. What step should he take ?A) Substitute 1.50 for y in the equation B) Add 1.50 to the y-intercept of the equation C) Substitute 1.50 for x in the equation D) Add 1.50 to the slope of the equation What is the theoretical probability that the family has two dogs or two cats? Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________ Is there any sentences that have three words?