The quotient is ??

The remainder is ??

The Quotient Is ??The Remainder Is ??

Answers

Answer 1

Answer:

The quotient is 10x + 16

The remainder is 28x² + 10x + 22

Step-by-step explanation:

x³ - 3x² + x - 2) 10x⁴ - 14x³ - 10x² + 6x - 10 (10x + 16

                       10x⁴ - 30x³+ 10x² - 20x

                                16x³ - 20x² + 26x - 10

                                16x³ - 48x² + 16x - 32

                                          28x² + 10x + 22

Therefore, the quotient is 10x + 16

The remainder is 28x² + 10x + 22


Related Questions

Find the vertex of the function given below.

y= x2 - 6x +1

Answers

Answer:

V( 3, -8 )

Step-by-step explanation:

Parable equation is of the form:

( x - h )² = 4p*(y - k)

In that expression, vertex has coordinates V ( h, k )

Then all we have to do is transform the given equation

y = x² - 6x + 1       or     x² - 6x  = y - 1          (1)

We can get a  perfect square trinomial in the first member of the equation according to:

x²  -  6x   =   ( x - 3 )²  - 9

(x - 3 )²   = x² - 6x  + 9

By substitution  en equation (1)

( x - 3 )² - 9 = y - 1

( x - 3 )² = y -1 + 9

( x - 3 )² = y + 8

( x - 3 )² = (y + 8 )

Then vertex coordinates are

V( 3 , -8)

Thuy rolls a number cube 7 times. Which expression represents the probability of rolling a 4 exactly 2 times? P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction Subscript 7 Baseline C Subscript 5 Baseline (one-sixth) squared (one-sixth) Superscript 5 Subscript 7 Baseline C Subscript 5 Baseline (one-sixth) Superscript 5 Baseline (five-sixths) squared Subscript 7 Baseline C Subscript 2 Baseline (one-sixth) squared (five-eighths) Superscript 5 Subscript 7 Baseline C Subscript 2 Baseline (two-sixths) squared (four-sixths) Superscript 5

Answers

Answer:

Rolling a 4 on the first try has a probability of (1/6). Meaning, it is one event out of the six possible events of the die. Rolling a 4 a second time also has a probability of (1/6), because nothing has changed on the die.

Answer:

Subscript 7 Baseline C Subscript 2 Baseline (one-sixth) squared (five-eighths) Superscript 5

Step-by-step explanation:

The answer above is correct.

Solve the system of equations and choose the correct ordered pair. 3x-5y+2=21 and 2y=7x+4​

Answers

Answer:

(-2 ; -5)

Step-by-step explanation:

2*y = 7*x + 4    

7*x - 2*y = -4

(7/2)*x - (2/2)*y = -4/2

(7/2)*x - y = -2

(7/2)*x + 2 = y

3*x - 5*y + 2 = 21

3*x - 5*y = 21 - 2

3*x - 5*y = 19

3*x - 5*[(7/2)*x + 2] = 19

3*x - 35/2*x - 10 = 19

- 29/2*x = 29

- 1/2*x = 1

x = -2

y = -5

Answer : (-2 ; -5)

Expand to write an equivalent expression: -1/4(-8x+12y)

Answers

Answer:

 

8x -12

Step-by-step explanation:

Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.

 

Answer:

2x-3y

Step-by-step explanation:

To expand this expression, use the distributive property.

[tex]-\frac{1}{4}(-8x+12y)[/tex]

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

[tex](-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)[/tex]

Multiply -1/4 and -8x first.

[tex]((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)[/tex]

[tex]2x+(-\frac{1}{4} *12y)[/tex]

Next, multiply -1/4 and 12y.

[tex]2x+ ((-\frac{1}{4} *12)y)[/tex]

[tex]2x+ -3y[/tex]

A +- becomes a -

[tex]2x-3y[/tex]

Help please. (Given: y ∥ x Prove: m∠5 + m∠2 + m∠6 = 180)

Answers

Answer:

Step-by-step explanation:

Concepts used :

sum of angles at a point on straight line is 180

if a transversal intersects two parallel lines then alternate angles are equal.

____________________________________________

∠∠∠∠∠

m∠1 + m∠2 + m∠3 = 180   ____________(A)

reason :sum of angles at a point on straight line is 180

these angles lie on LAM at point A

m∠1  = m∠5

Reason: alternate angles  y ∥ x and AC is transversal

m∠3  = m∠6

Reason: alternate angles  y ∥ x and AB is transversal

Substituting m∠1  with  m∠5 and m∠3  with m∠6

in equation A---m∠1 + m∠2 + m∠3 = 180

m∠5 + m∠2 + m∠6 = 180

Hence proved.

Answer:

The answers are below. Hope this helped. I sacrificed my answers ˙-˙ :)

Step-by-step explanation:

<1 congruent to <5                Given

<3 congruent to <6               Alternate Interior Angles theorem

m<1 = m<5                             Alternate Interior Angles theorem

m<3 = m<6                            Definition of congruent angles

m<1+m<2+m<3=m< LAM      Definition of congruent angles

m<1+m<2+m<3=180             Angle additon postulate

m<5+m<2+m<6=180            Definition of straight angle

does this graph represents a function? why or why not?

Answers

Answer:

Yes, it passes the vertical line test

Step-by-step explanation:

This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function

Which Anna quality graft is the solution to X/ < -3

Answers

Answer:

Well the following inequality [tex]x<-3[/tex] as a graph is in the image below.

Sam always has eggs for breakfast. He either has boiled,
poached or fried eggs.

The probability that he has fried eggs is 0.65 and the
probability that he has poached eggs is 0.25.

a) What is the probability that he has boiled eggs?
b) Work out the probability that
i)He has boiled eggs on the first day and fried
eggs on the second
ii) He has fried eggs both days
iii) He has boiled eggs on at least one day​

Answers

Answer:

a) 0.1 [ 0.10 ] probability

Step-by-step explanation:

Workout for a) question

Propability of hving boiled eggs + Propability of hving poached eggs + Propability of hving fried eggs = 100

x + 25 + 65 = 100

x=10

Writing as decimal

x=0.10=0.1

b)

i) 10 percent of hving boiled eggs on first day 65 percent of hving fried eggs in second day

ii) 65 percent of hving fried eggs on both days

iii) 10 percent propability of hving atleat one boiled egg in 1 day

Hope this helps....

                          Pls mark my answer as brainliest :)

What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram

Answers

Answer:

A square

Step-by-step explanation:

Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).

Square shape will you get if you take a cross section of a square pyramid parallel to its base

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

'A square pyramid is a  three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'

According to the given problem,

If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.

Hence, we concluded that square could be formed by slicing the square pyramid by a plane.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)

Answers

Answer:

√2x+8=x-8

2x+8=x^2-16x+64

-x^2+18x-56=0

x^2-18x+56=0

x(x-4)-14(x-4)=0

(X-4)(x-14)=0

x=4(extraneous) ,x=14

—> x=14

Step-by-step explanation:

Answer: (14,6)

Step-by-step explanation:

Right on edg 2022.

Isabel purchased bananas and apples at a grocery store. She spent a total of $9.90 on 3 pounds of apples and 2 pounds of bananas. If the apple cost 3 times as much per pound as bananas, what is the cost per pound of apples??

A) $0.90

B) $1.80

C) $2.70

D) $3.60

Answers

Answer:

C. $2.70

If one pound of apples cost 3 times the amount of a pound of bananas, then a pound of apples costs; $2.70.

The cost per pound of apples will be $2.70, which is the correct answer would be option (C).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the cost per pound of apples be x, and the cost per pound of banana be y

She spent a total of $9.90 on 3 pounds of apples and 2 pounds of bananas.

So, 3x + 2y = 9.90 ....(i)

And the apple cost 3 times as much per pound as bananas.

So, x = 3y

y = x/3  ....(ii)

Substitute the value of y = x/3 in the equation (i), and solve

3x + 2(x/3) = 9.90

3x + 2x/3 = 9.90

11x/3 = 9.90

11x = 2.97

x = 2.97/11

x = 2.70

Thus, the cost per pound of apples will be $2.70.

Learn more about the equation here:

brainly.com/question/10413253

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Which of the following best describes the slope of the line below?



O A. Undefined
O B. Negative
O c. Positive
O D. Zero

Answers

Answer:

zero or undefined

Answer:

it's d zero.

Step-by-step explanation:

just took the test

Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4

Answers

Answer:

A ≈ 254.5 in²

Option C

Step-by-step explanation:

Area of a Circle Formula: A = πr²

d = 2r

Since we are given diameter d, we simply divide by 2 to get radius r:

r = 18/2 = 9

Then we simply plug it into the formula:

A = π(9)²

A = 81π

A = 254.469

A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea  circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.

Hence, the correct option is C.

The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:

In this case, the radius is 9 inches, so the area of circle is given by,

Area = pi × [tex]9^{2}[/tex]

Area = 3.14 × 81

Area= 254.3

The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.

Learn more about area here: brainly.com/question/30307509

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Can someone help me out please :)
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass
the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(b) fails both exams.
%​

Answers

Answer:

15%

Step-by-step explanation:

25% fail math

60% of the 25% above fail science

thus,

[tex] \frac{25}{100} \times 60\%[/tex]

=15% of total student

40 points!!! please tell me how to do it not what the answer is :D

Answers

Answer:

C

Step-by-step explanation:

You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!

Answer:

see below

Step-by-step explanation:

-3z -( -z -2)

The first step is to distribute the minus sign

-3z  --z  --2

A negative negative is a positive

-3z +z +2

Then combine the like terms

-3z+z   +2

Answer

-2z+2

PLEASE HELP

Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume

Answers

9514 1404 393

Answer:

  Cone Z, cylinder Y

Step-by-step explanation:

Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.

The figures described as having that relationship are ...

  cone Z, cylinder Y

_____

Additional comment

The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.

9 cans of paint are needed to
paint 4 rooms. Exactly how
many cans of paint are needed to
paint 10 rooms? How many cans
of paint should be purchased?
Exact:
Purchased:

Answers

Answer:

Step-by-step explanation:

Write and solve an equation of ratios:

 9        4

----- =  -----

 x         10

Then 4x = 90, and x = 22.5

It will take exactly 22.5 cans of paint to cover 10 rooms.  The painter must buy 23 cans.

solve the math problem please

Answers

Answer:

B, x≥2

Step-by-step explanation:

54 - 10x ≤ 20 + 7x - subtract 20

34 - 10x ≤ 7x - add 10x to 7x

34 ≤ 17x - divide 34 by 7

2 ≤ x - flip the equation - x ≥ 2

Hope this is helpful!

Answer:

Choice B

Step-by-step explanation:

TRUST ME. IF YOU WANT EXPLANATION:

54 - 10x < = 20 +  7x

54 - 20 < = 7x + 10x

34 < = 17x

34/17 < = x

2 < = x.....or x > = 2....its B trust me

Gabe can wrap 1 2/3 presents in 1/3 hour. how many presents can Gabe wrap per hour?

Answers

Answer:

5.06

Step-by-step explanation:

1 2/3 = 1/3

x = 1                                         (cross multiply)

1/3 x = 1 2/3                             (divide both sides by 1/3)

x = 5.06

Sorry the final answer is in decimal. I think better in decimal.

Answer:

Gabe can wrap 5 presents in an hour.

Step-by-step explanation:

So, to find the answer all you have to do is just multiply how many presents he can wrap in 1/3 hours and multiply that by 3. That is then your answer.

Brainliest would be appreciated.

I hope that I was able to help you.

PLs help me pls ssssssssssssssssss

Answers

Answer:

The answer is p/6-4/5.

hope it helps

Answer:

no

Step-by-step explanation:

The triangular prisms are similar. Find the volume of the larger prism. Round your answer to the nearest hundredth.
A. 85.33 in³
B. 86.38 in³
C. 87.07 in³
D. 88.16 in³​

Answers

The correct answer is A. 85.33 in^3

85.33 in^3 will be your answer, hope this helps!

A quadrilateral has angle measures of 120 degrees ,37 degrees and 48 degrees what is the measure of the forth angle

Answers

Answer:

Let the fourth angle be x

Angles in a quadrilateral add up to 360°

To find the fourth angle add all the known angles and subtract them from 360°

That's

x + 120+37+48=360

x + 205 = 360

x = 360-205

x = 155°

Therefore the fourth angle is 155°

Hope this helps

A father requires his son to do chores for 4 to 6 hours a week. If the son wants to do
chores daily, how many hours per day is this (in interval notation)?

Answers

Answer: 5 hours and 15 mins

Step-by-step explanation: 45 mins x 7 = 5 hours and 15 mins. I checked so it should be correct. [tex]45x2= 1[/tex]hour and 30 mins.So I multiplied 1 hr 30 x 3 which gave me 4 hr 30 then added 45 mins, then I got 5 hr 15 min.

So in conclusion the answer is 5 hours and 15 mins.

                                                                                                 Thank You                                                                      

                         

This year at the state fair they held two hot dog eating contests. The first contest had 19 contestants and the winner would be the person that ate the most regular-sized hot dogs in 15 minutes. The second contest had 23 contestants and the winner would be the person that ate the most jumbo-sized hot dogs in 15 minutes. The data from both contests are shown in the box-and-whisker plots above. Using the box-and-whisker plots, the results for the____-sized hot dog contest has greater variability. The difference in the medians of the two contests is approximately _____times the interquartile range.

Answers

Answer:

*regular-sized hot dog contest has greater variability

*The difference in the medians of the two contests is approximately 2 times the interquartile range.

Step-by-step explanation:

Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.

The greater the value of the range or interquartile range, the greater the variability.

Range for regular-sized hot dog contest = 32 - 17 = 15

Range for Jumbo-sized hot dog contest = 22 - 8 = 14

Interquartile range for regular-sized hot dog contest = 27 - 22 = 5

Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5

Median for regular-sized hot dog contest = 23

Median for jumbo-sized hot dog contest = 14

The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)

Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.

The difference in the medians of the two contests is approximately 2 times the interquartile range.

The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).

Help please, I'm not timed

Answers

Answer:

B 30% you can divide 160 the total by 10then multiply and you can check B and C

is this right? someone help i’ll give brainliest!

Answers

Answer:

yes this is right

Step-by-step explanation: i dont even no the answer i just said its right

Answer:

-10< x< 3

Step-by-step explanation:

Please see attached picture for full solution.

*Sign changes when you divide inequality with a negative number.

Further explanation:

When you add, subtract, divide or multiply an inequality, it applies throughout. This means that from step 1 to 2, if you subtract 1 from the constant 58 to obtain 57, your inequality should be:

19< -6x -3< 57

Note that you do not subtract 1 from the coefficient of x (which means -6x does not become -7x since -7 is not a constant here).

Thus, the easiest way to solve an inequality with 2 inequality signs is to split them up into 2 different inequalities first and solving them separately before combining them into 1 to solve the question.

what is the recursive formula for this geometric sequence? 2,-10,50,-250,...

Answers

Answer:

an = an-1 * (-5)

a1= 2

Step-by-step explanation:

The recursive formula is

an = an-1 * r

a1= initial term

where a1 is the initial term and r is the common ratio

a1 =2 or the starting term

r = second term / first term = -10/2 = -5

an = an-1 * (-5)

a1= 2

Answer:

The correct answer is D

Step-by-step explanation:

2 and -5

Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line.

Answers

Answer:

y = -x + 7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Step 1: Find slope

m = (6 - 3)/(1 - 4)

m = -1

Step 2: Find b

y = -x + b

6 = -1 + b

b = 7

Step 3: Rewrite linear equation

y = -x + 7

Answer:

y = -x + 7

Step-by-step explanation:

(x1, y1) = (4 , 3)

(x2, y2) = (1 , 6)

[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]

m = - 1;  (4,3)

y - 3 = (-1)(x -4)

y - 3 = -x + 4

y = -x + 4 + 3

y = -x + 7

Please help with this

Answers

I would go with A as it seems the most logical answer
A. Should be right.

PLEASE HELP!!!!
Find the product. Write your answer in
exponential form.
2^6•2^-5

Answers

Answer:

2^1

According to the product of powers with the same base, a^m * a^n = a^m+n.

Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.

2^6 * 2^-5

The bases are the same, so we can apply this rule.

6 + -5 = 1

This gives you the answer of 2^1.

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what is an expert reference a coupon is an example of:-inflation-an incentive -consumerism-macroeconomics trig and picture pls help When inventory declines in value below original (historical) cost, and this decline is considered other than temporary, what is the maximum amount that the inventory can be valued at Which of the following is a substantive culture-changing action that a company's managers can undertake to alter a problem culture?A. Identify aspects of the present culture that pose problems.B. Revise policies and procedures in ways that will help drive cultural change and replace senior executives who are resisting and obstructing needed organizational and cultural changes.C. Shift from decentralized to centralized decision-making so as to give senior executives more authority and control in driving cultural change.D. Make a concerted effort to turn the company's core competencies into distinctive competencies.E. Empower employees to adopt whatever new work practices they believe will be an improvement. Soon Yi loves to bake, and she is making flaky pastry. Soon Yi starts with a layer of dough 2 22 millimeters ( mm ) (mm)left parenthesis, start text, m, m, end text, right parenthesis thick. The baking process then involves repeatedly rolling out and folding the dough to make layers. Each time Soon Yi rolls and folds the dough, the thickness increases by 8 % 8%8, percent. What is the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5 mm 2.5mm2, point, 5, start text, m, m, end text thick Conflict with foreign powers in the early years of the United States would lead to war with Which polynomial identity will prove that 35 = 27 + 8? A(n)_____ is issued when the Supreme Court Agees to review a case Which expression represents a difference of squares ? The y-intercept in the linear equation 2y4x6=0 is _[blank]_. will give brainliest if AB is 3/4 and CD is 8/-6 are the parallel, perpendicular or niether What can be best inferred by the narrator's description of Hakim-a-barber?The narrator finds his appearance bizarre.Hakim-a-barber followed the tenants of Islam.The narrator is most knowledgeable about farm animals.Hakim-a-barber is not concerned with Mama's impression of him. What were two effects of OPECs 1973 oil embargo on the US economy?The price of oil rose dramatically.The government began importing oil from Venezuela.The United States joined OPEC.The United States faced a severe oil shortage.The US government instructed car manufacturers to produce fewer cars. An observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at the point (0,negative 4). Express the bearing using both methods. please help! Only accurate answers Which of the following generate the type of externality described? Check all that apply. Your roommate, Kate, has bought a puppy that barks all day while you are trying to study economics. A leading software company has decided to increase its research budget for inventing new open-source technologies. Clancy has planted several trees in his backyard that increase the beauty of the neighborhood, especially during the autumn foliage season. The local airport has doubled the number of runways, causing additional noise pollution for the surrounding residents. What do the Nineteenth Amendment and the Indian Citizenship Act of 1924have in common?O A. They both affected American Indians directly.O B. They both allowed certain Americans to own property.O C. They both permitted free expression with some restrictions.O D. They both provided suffrage to a group of Americans. Define nebulae (singular nebula)? Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School.