Mathematics High School

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

I Need help ASAP.(please )

Answers

B and D are correct
The rest are wrong, if you need a reason why please tell me
Hope this helps!

Translate triangle ABC 4 units right and 5 units down H E L P

Answers

Sorry wanna points jdhdj

at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?
​

Answers

Answer:

Step-by-step explanation:

250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM

Please, if anyone knows help me, I need a lot of help in this activity.

Answers

Answer:

Step-by-step explanation:

Perimeter of the given polygon = n + 2 + 3 + 4 + n + 2 + 3 + 4

                                                     = 2(n + 2 + 3 + 4)

                                                     = 2(n + 9) units

Area of the composite figure = Area of rectangle A + Area of rectangle B + Area of rectangle C

                                                = (3 × 4) + (n ×2) + (2 × 3)

                                                = 12 + 2n + 6

                                                = 2n + 18

                                                = 2(n + 9) units²

Therefore, perimeter of the given figure = Area of the figure

Please help, will mark brainliest

Answers

Answer:

The picture is just a black screen. Please tell me the question in the comments and I will try to help!

Step-by-step explanation:

if anyone knows help :]

Answers

Angle EBD and Angle DBE are adjacent

It takes Jason 30 minutes to wash the dishes, but it takes 50 minutes for his younger brother. How many minutes will it take to wash the dishes if they work together? Round your answer to the nearest hundredth if necessary.

Answers

At the 2 together and then divide by 2 to find the average (40)

Question #4. A $25 baseball hat is on sale for 25% off. What is the sale
price?

Answers

18.75 sale price hope this helped

the sale price is $18.75

Solve: please, THANKS

Answers

Answer:

20/21

Step-by-step explanation:

have a nice day or evening

GUYS HELP HELP HELP PLEASE HELP

Answers

i think it’s impossible and yeah that’s all ik but fs impossible is part of it

Write an equivalent expression to
3² x 15 x 54

Answers

Equivalent Expression: 9x + 15x = 54

Step-by-step explanation:

First, yo would do 3^2 which is 3 times 3 equals 9.

So, it would be 9x + 15x = 54

Then, you combine like terms, 9x + 15x

So 9+15= 24x

Last, would be 54 = 24x

divide by 24 onto both sides and then x will be by itself and then it will give you an answer.

Answer: 2.25

Find the solution set of the inequality
8x−8≤−72.

Answers

Answer:

x≤-8

Step-by-step explanation:

When solving 8x-8≤-72, first add 8 to both sides of the inequality.

This leaves you with 8x≤-64.

Divide both sides by 8: 8x/8 and -64/8

This leaves you with x≤-8 as your solution.

3
Discuss TWO ways in which some cultural views that ex
a relationship negatively.
.4
Compare TWO ways in which destructive relationships ir
well-being as opposed to constructive relationships.
1.5
Recommend TWO ways in which women and children ca
protected from discrimination and violence.
1.6
Read the statement below and answer the question that
"Only 52 per cent of women married or in a un
make their own decisions about sexual relations​

Answers

Answer:

There are as many definitions of empire as there have been empires, but some pretty familiar elements appear in most of them. It starts with working on our “control issues”.

The two ways in which some cultural views may negatively affect a relationship are:

The notion that females should be domesticated and submissive has made them to be sometimes inferior in relationships.The view of male partners as a totalitarian leader (head) makes them to develop excessive ego and pride in relationships.

What is a relationship?

A relationship refers to a continuous and often committed interaction (association) that typically exist between two (2) or more people, which may either be platonic, romantic (intimate), negative, or positive.

In Sociology, there are four (4) main types of relationships and these include the following:

Family relationshipsRomantic (intimate) relationshipsFriendshipsAcquaintanceships

In conclusion, it is evident that some cultural views or perceptions may have a negative impact on a relationship.

Read more on relationships here: https://brainly.com/question/25862883

A designer decides to create a larger scale model of a smart phone so that his team can work more easily on the design. The length of the screen of his model is 60 centimeters, which is 2.5 times longer than it is wide. The designer asked his team to build the screen of the actual phone with a width of 6 centimeters. What is the scale factor of the model phone to the actual phone?

Answers

Answer:

The length of the model is 250% of the width and is 60 centimeters, and the width of the actual phone is 6 so it has a scale factor of 4:1.

Hope this helps!

For what values of t can 2x^2+tx+10 be written as the product of two binomials?

Answers

What does binomials mean???

The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

What is binomial?

A binomial expression is an expression that has two terms.

In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).

Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.

[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]

Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

Learn more about Binomial:

https://brainly.com/question/3560614

solve for x

x- 5/3=1​

Answers

Answer:

x = 8/3 or 2 2/3

Step-by-step explanation:

x - 5/3 = 1

x - 5/3 + 5/3 = x

1 + 5/3 = 8/3 or 2 2/3

x = 8/3 or 2 2/3

Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )

3x - 5 = 3 ( add 5 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

how to find surface area of trapezoid. ​

Answers

Answer: To find the area of a trapezoid, start by adding together the length of the bases, which are the 2 sides of the trapezoid that are parallel with each other. Then, multiply that number by the height of the trapezoid. Finish by dividing the product by 2 to find the area. Or check this image it can help u

Step-by-step explanation:

The area of a rhombus is 60 cm one diagonal is 10cm other dignonl is

Answers

Answer: 12 cm

Explanation: The other diagonal is 12 cm as I calculated.

FIND THE MEASURE OF THE MISSING ANGLE

Answers

Answer: the answer is 66

Step-by-step explanation: 180-90-24=66

Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚

180˚-114˚=66˚.


Use the figure to determine the measure of angle 1 if angle 5 is 60 degrees.

Answers

Answer:

the figure is missing. please provide the figure.

Does anyone know this answer??

Answers

Answer:

Option B is your answer ☺️☺️☺️

Regina wants to donate 15% of her paycheck to charity. If she receives a paycheck of $300, how much money will she donate?

Answers

Regime would donate $45 to charity.

If the circumference of a circle is 12.56 ft, what is the length of the radius? Use 3.14 for π.

A. 6.28 in.
B. 4.03 in.
C. 4 in.
D. 2 in.

Answers

Answer:

D - 2in

Step-by-step explanation:

Can someone help me

Answers

the range is the difference between the largest number and the smallest, so 98-65=33

PLEASE HELP

The graph of y = f(x) is shown below. What are all of the real solutions of
f(x) = o?

Answers

Answer:

The real solutions are : -6, -3 and 2

Step-by-step explanation:

The solutions of a functions are the input values at an output zero

Graphical wise, this can be represented by the order pairs (x, 0)

In other words, these are the points that lie on the x-axis

Examining the given graph, we can see that the points lying on the x-axis are:

(-6, 0), (-3, 0) and (2, 0)

This means that:

The real solutions of the function are:

-6, -3 and 2

Hope this helps :)

What is the best measure of center for this data?



{101, 2, 108, 104, 102, 107, 109, 102}
Question 5 options:

A. mean or median because there is no outlier


B. median because there is an outlier


C. mean because there is an outlier


D. mode because there is an outlier

Answers

Answer:

The answer is A

Becaise Mode is not a measure of centre, and Mean is dramatically changed with the outli

I think that would be correct, Hope it helps!!!

Given that p =5, q = 2, r=4
What is the value of 7r
​

Answers

Answer:

28

Step-by-step explanation:

if r=4 that means that 7r= 7×r is 28

Jessie spent a total of 14.00 to purchase a gift and have it gift-wrapped and mailed. The cost for the postage was $2.25, and she knows the gift itself cost $9.50.

Answers

Answer:

she spent 11.75$ total

Step-by-step explanation:

9.50+2.25=11.75

Geometry question, help ya girl out

Answers

Answer:

A=36 a means area

Step-by-step explanation:

A=a+b/2

h=6+12/2

times 4=36

Answer:

=36cm^2

Step-by-step explanation:

6-12=6 (total cm of the bases for triangle B and C)

6/2= 3 (base of B and C trialngleis 3  )

Triangle formula: bh 1/2

(base)b= 3cm

height(h)=4

Formula: (3)(4) 1/2

=12 1/2

=6cm^2

^ area of 1 triangle

There are 2, so

6*2=12cm^2 (area of triangles )

Area of rectangle: L*W

4*6=24cm^2

Total area of trapezoid

=24cm^2+12cm^2

=36cm^2

Help me with this!! Will mark Brainliest!!!

Answers

Answer:NO!!

Step-by-step explanation:

RS distance of 2 while TU distance of 1

Other Questions
I need help with this pls help The question is in the graph. Please help. Pleaseee help! HELP NEEDED ASAP! someone pls help!!Give three examples of how life is suffering(Dakkha). List them and explain why/how. Need help with APCSP coding (for and while loops)It says that there are two codes that can be shortened into for/while loops. Please hurry, I have to pass it at 11:59 tonight (PST). I'll give brainliest if you answer.Here's the code:var monthName="January";var month=1;var day=1; var year=2020;var birthDate = "";onEvent("input1","input",function() { monthName = getText("input1"); month = convertToNumber(monthName.toLowerCase()); updateScreen();});onEvent("input2","input",function() { day = getNumber("input2"); updateScreen();});onEvent("input3","input",function() { year = getNumber("input3"); updateScreen();});onEvent("checkButton","click",function () { var d = new Date(); var todayMonthNum = d.getMonth()+1; var todayDay = d.getDay(); var todayYear = d.getFullYear(); if (todayMonthNum == month && todayDay == day && todayYear == year) { hideElement("input1"); hideElement("input2"); hideElement("input3"); playSound("EJGreenberg---birthday-birthday.mp3"); }});function updateScreen (){ birthDate =month + "/" + day + "/" + year; setText("dateOutput",birthDate);}function convertToNumber (name){ var names=["january", "february", "march", "april", "may", "june", "july", "august", "september", "october", "november", "december"]; var foundIndex = -1; if (names[0]==name) foundIndex = 0; if (names[1]==name) foundIndex = 1; if (names[2]==name) foundIndex = 2; if (names[3]==name) foundIndex = 3; if (names[4]==name) foundIndex = 4; if (names[5]==name) foundIndex = 5; if (names[6]==name) foundIndex = 6; if (names[7]==name) foundIndex = 7; if (names[8]==name) foundIndex = 8; if (names[9]==name) foundIndex = 9; if (names[10]==name) foundIndex = 10; if (names[11]==name) foundIndex = 11; if (foundIndex==-1) return "??"; else return foundIndex + 1;} I think the answer is nine but Im not sure how to explain how I got my answer You want to buy 7 tickets at that same rate. Explain the mathematical process you used to determine the cost of 7 tickets. (Include the unit rate in your explanation) "She have grey hairs" what is it's Grammatical error Place the following categories from broadest to most specific Kingdom, Order, Genus, Domain, Species, Class, Family, Phylum why does Mr.Martin suspect his department is about to be disrupted? Please answer what you can:Question 3True or false? The converse of "Some medications are medications deliveredsubcutaneously," is valid.A)TrueB)FalseQuestion 4The obverse of "Some medications are medications delivered subcutaneously," is.A)Some medications are not non-medications delivered subcutaneouslyB)All medications are medications delivered non-subcutaneouslyC)No medications are medications delivered subcutaneouslyD)Some medications are not medications delivered subcutaneouslyQuestion 5On the Traditional (Aristotelian) interpretation of the Square of Opposition, a false l-proposition yieldsA)a false A-propositionB)a false E-propositionC)a false 0-propositionD)a true A proposition After Mabel Dodge Luhan arrived in New Mexico, what preparations did she make to bring artists and writers to NewMexico? someone please do this for me... i will mark brainliest. all work needs to be shown. (picture shown above) 2Na + 2H2O 2NaOH+ H2How many grams of sodium would be needed to produce 1.00kg of sodium hydroxide? Sorry its long but ill give brainlist to the right one just look at the images and multiple choice parts Find the errors and correct the following mathematical sentences. 4. Victor and the Monster meet on a mountaintop to talk, and Victor agrees to ( Points) Identify the slope of the graph below Choose the correct answer.Which statement best shows a key idea of the passage?California needs a voucher school funding system to offset the funding problems.OB. California needs to work towards fixing their energy problem.OC. Voters in America consider education an important issue.OD.Voters should pass Proposition 26 because many of the state's schools are failing. A workpiece in the form of a bar 100 mm in diameter is to be turned down to 70 mm diameter for 50 mm of its length. A roughing cut using maximum power and a depth of cut of 12 mm is to be followed by a finishing cut using a feed of 0.1 mm and a cutting speed of 1.5 m/s. It takes 20 s to load and unload the workpiece and 30 s to set the cutting conditions, set the tool at the beginning of the cut and engage the feed. The specific cutting energy for the material is 2.3 GJ/m3 and the lathe has a 3-kW motor and a 70 percent efficiency. Estimate: