Divide 10x^4-14x-10x-10 by x-3x+x-2The quotient is The remainder is

Answer:The quotient is [tex]10x+16[/tex]The remainder is [tex]\frac{34x^2+10x+22}{x^3-3x^2+x-2}[/tex]Step-by-step explanation:(See my image for my work)Once the problem is set up, we need to figure out how to make [tex]x^3[/tex] become [tex]10x^4[/tex]. To do this, we must multiply it by [tex]10x[/tex].This becomes the first number at the top of our work.Now, we need to create the second row. To do this, we need to multiply all of the terms on the left by [tex]10x[/tex] and then multiply it by a negative.Once that is done, we need to subtract these two rows.After we subtract, we are left with [tex]16x^3-20x^2+26x-10[/tex]Now we can do the same thing. This time, the number that we must multiply by is 16, so that is the next term on topNext, we multiply the terms on the left by 16 and then subtract them from the previous expressionThis leaves us with [tex]34x^2+10x+22[/tex].As this has a smaller power than the left-hand side, this is our remainder, which we need to divide by the left hand side.Our quotient is the number that we have found on the top.This gives us the answer of The quotient is [tex]10x+16[/tex]The remainder is [tex]\frac{34x^2+10x+22}{x^3-3x^2+x-2}[/tex](Sorry. This process is hard to do in this form, so I had to write it by hand.)

Answer:the quotient is 10x + 16the remainder is 28x + 10x + 22

Mathematics College

Divide 10x^4-14x³-10x²-10 by x³-3x²+x-2

The quotient is
The remainder is

Divide 10x^4-14x-10x-10 By X-3x+x-2The Quotient Is The Remainder Is

Answers

Answer 1

Answer:

The quotient is $10x+16$

The remainder is $\frac{34x^2+10x+22}{x^3-3x^2+x-2}$

Step-by-step explanation:

(See my image for my work)

Once the problem is set up, we need to figure out how to make $x^3$ become $10x^4$. To do this, we must multiply it by $10x$.

This becomes the first number at the top of our work.

Now, we need to create the second row. To do this, we need to multiply all of the terms on the left by $10x$ and then multiply it by a negative.

Once that is done, we need to subtract these two rows.

After we subtract, we are left with $16x^3-20x^2+26x-10$

Now we can do the same thing. This time, the number that we must multiply by is 16, so that is the next term on top

Next, we multiply the terms on the left by 16 and then subtract them from the previous expression

This leaves us with $34x^2+10x+22$.

As this has a smaller power than the left-hand side, this is our remainder, which we need to divide by the left hand side.

Our quotient is the number that we have found on the top.

This gives us the answer of

The quotient is $10x+16$

The remainder is $\frac{34x^2+10x+22}{x^3-3x^2+x-2}$

(Sorry. This process is hard to do in this form, so I had to write it by hand.)

Answer 2

Answer:

the quotient is 10x + 16

the remainder is 28x² + 10x + 22

Related Questions

Which expression is equivalent to "9 more than the quotient of x and 5

Answers

The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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6 (2x - 7) + 4 (2x + 4)

Answers

Answer: 20x-26

Step-by-step explanation: its hard to explain

Answer:

20x - 26

Step-by-step:

6(2x-7) + 4(2x+4)

12x - 42 + 8x + 16

20x - 26

Good Luck

The following graph represents the function f(x). Sketch and label the following functions on the same coordinate plane

Answers

Answer:

It's in the attachment

hope it helps...

have a great day!!

In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.

Answers

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= $\frac{18}{36}$

hence, percentage of people who liked blue cars= (18/36)*100 %

= 50%

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

Answers

Answer:

Step-by-step explanation:

Area of one base:

$A=\pi r^2=\pi (3.2)^2 =10.24\pi cm^2$

Perimeter of circle base:

$P=2\pi r=2\times \pi \times 3.2 =6.4 \pi cm$

Height of cylinder:

$h=8.7cm$ (given in question)

Total surface area:

$SA=$ area 2 circles + area rectangle

$=(2\times 10.24 \pi) +(6.4\pi\times 8.7)$ (Area rectangle = cylinder height x

circle perimeter)

$=239.26cm^2$

please
$2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 $
I need help

Answers

Here you go, hope this helps

$please [tex]2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 [/tex]I need help$

what is 0.00291545189 in fraction form

Answers

Answer:

1/343

Step-by-step explanation:

hope it helps you not like that other person

The decimal 0.00291545189 in fraction form is 91545189/100000000000.

The given decimal, 0.00291545189, has 11 decimal places.

To convert it to a fraction, the decimal as the numerator and the denominator as 1 followed by 11 zeros:

= 0.00291545189

= 291545189/100000000000

Simplifying the fraction, if possible, by dividing both the numerator and denominator by their greatest common divisor, we get:

= 291545189/100000000000

Therefore, 0.00291545189 in fraction form is 91545189/100000000000.

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What is the area of the square that measures 3.1 m on each side

Answers

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40.
After one month, Paul bought 19 passes and spent a total of $31.60.
How much did he spend on the student discount card?

Paul spent $________
on the student discount card.

Answers

Answer:

Step-by-step explanation:

First, we need to find the total amount he spent on the passes.

We just need to multiply the number of passes by the price of each pass.

19 x 1.4 = 26.6

This means he spent $26.6 on the passes.

Now, we can find out how much he spent on the discount card.

Just subtract his total spending amount by the amount he spent on passes.

31.6 - 26.6 = 5

He spent $5 on the discount card.

I need explanation for example 8.
Thankyou

Answers

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Please please please help me with this problem it’s so hard and I’ll give you a brain list

Answers

Answer:

It is Positive,Negative,Positive after solving each of them

b) Complete the table to show the total amount of calories Mary will burn for
cycling and running for 0, 10, 15, and 30 minutes. Show and explain your work.
Minutes (m)
Total Calories Burned (C)
0
10

Answers

For 0 minutes she can burn 0 calories

For 10 minutes she can burn 20-40 calories

For 15 mins she can burn 40-60 calories

For 30 minutes she can burn 140-295 calories

I hoped this helped!

Have a great day/night! :)

Arrange the steps in order to simplify the expression

Answers

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5. Combining like terms

6. getting rid of parentheses

5h-6-8+7h what’s the answer ?

Answers

Simplified ? 12h -(-2)

Please hhhheeellppppp

Answers

I think its 48 minutes

Debra is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Debra has been adding money. Suppose that x and y are related by the equation 650+20x=y.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.

Answers

The rate of change is $20 per week while the initial value is $650

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Debra has been adding money.

Given the equation:

y = 20x + 650

The y intercept is $650 and the slope is $20 per week

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Find the product.
0.55 × 3

Answers

Answer:

1.65

Step-by-step explanation:

1) Use the algorithm method.

0 . 5 5

× 3

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

1 1

1 . 6 5

Find the value of x y and m

Answers

Answer:

x = 33

y = 66

m<BGK = 71°

Step-by-step explanation:

✔️(2x + 5) + (3x + 10) = 180° (consecutive interior angles)

Solve for x

2x + 5 + 3x + 10 = 180

Add like terms

5x + 15 = 180

5x = 180 - 15 (subtraction property of equality)

5x = 165

Divide both sides by 5

x = 33

✔️(2x + 5) = (y + 5) (alternate interior angles are congruent)

Plug in the value of x

2(33) + 5 = y + 5

66 + 5 = y + 5

71 = y + 5

71 - 5 = y

66 = y

y = 66

✔️m<BGK = (y + 5) (vertical angles)

Plug in the value of y

m<BGK = (66 + 5)

m<BGK = 71°

Two systems of linear equations in two variables, x and y, are given.
System P:
(3x-10y=8
7x+2y=6
The two systems have the same solution..
What are the values of b and c?
b=
System T:
bx - 10 y + 10 y = 38
cx + 10 y = 30
=
C =

Answers

Answer:

Step-by-step explanation:

If right I’ll mark brainiest

Answers

Answer:

1.5s - 0.5

Step-by-step explanation:

-2.9a + 6.8 + 4.4a - 7.3

6.8 - 7.3 = -0.5

-2.9a + 4.4a = 1.5a

1.5s - 0.5

Answer:

1.5a

Step-by-step explanation:

find the measure of a complementary angle, a supplementary angle, and a vertical angle for the following measures:• m(

Answers

Supplementary angles are those that when summed, add up 180°. Two angles are complementary when they add up 90°.

Vertical angles are opposed by the vertex when two lines intersect each other. Vertical angles have always the same measure.

Now, following that logic, we can evaluate the two options.

1. m(∠A) = 45:

A supplementary angle will sum 180° when added to 45. Let's call that supplementary angle S1:

$\begin{gathered} 45^o+m(\angle S_1)=180^o \\ m(\angle S_1)=180^o-45^o \\ m(\angle S_1)=135^o \end{gathered}$

The measure of a supplementary angle will be 135°.

Similarly, let's call that complementary angle C1:

$\begin{gathered} 45^o+m(\angle C_1)=90^o \\ m(\angle C_1)=90^o-45^o \\ m(\angle C_1)=45^o \end{gathered}$

The measure of a complementary angle will be also 45°.

For the vertical angle, we stated that vertical angles are equal; then it will also be 45°.

For the second option we follow exactly the same process:

1. m(∠A) = 45:

A supplementary angle S2:

$\begin{gathered} w^o+m(\angle S_2)=180^o \\ m(\angle S_2)=180^o-w^o \end{gathered}$

180° - w° will be a supplementary angle.

A complementary angle C2:

$\begin{gathered} w^o+m(\angle C_2)=90^o \\ m(\angle C_2)=90^o-w^o \end{gathered}$

90° - w° will be a complementary angle.

And for the vertical angle, just like before, it will have exactly the same measure: w°.

guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below.

A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500.

The counselor converts the frequency table to a conditional relative frequency table by column.

A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0.12, 0.88, 1.0. The third column is labeled lower than 90 with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries X, Y, 1.0.

What is the value of X?

0.16
0.20
0.24
0.40

Answers

Answer:

C:0.24

Step-by-step explanation:

for csc 330:
a) state value of the ratio exactly
b) find one equivalent expression
c) draw a diagram to illustarte.

Answers

The value of the ratio based on the angle illustrated is 1:12.

How to illustrate the information?

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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for csc 330: a) state value of the ratio exactlyb) find one equivalent expressionc) draw a diagram to

A furnace is designed to heat a 10,000 cubic feet of space. Will this furnace be adequate for a 1,400 square foot house with a 9foot ceiling.

Answers

To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.

The volume of the house can be found by multiplying the square footage by the ceiling height:

1,400 sq ft x 9 ft = 12,600 cubic feet

Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.

Point A is located at (0, 7). After it is transformed, point A' is located at (0, -7). How was the point transformed?
it was reflected in the x-axis
it was rotated 270°
it was reflected in the y-axis
it was rotated 90° around the origin

Answers

Answer:

it was reflected over the x axis

Step-by-step explanation:

.......

4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute

Answers

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age = 220 - 42 = 178

70% of this is 125

85 % is 89 151

I believe I would go with the third choice 116-160 bpm

A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.

Answers

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

What is the Poisson distribution?

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

The parameters are:

x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.$\mu$ is the mean in the given interval or range of values of the input parameter.

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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What is the volume of the triangular prism?
please help!! quickly its a test a look at the picture
7th grade math

Answers

It’s the area of the face times the height.

The area of the triangle is:

A = (base•height) : 2 = (3•2) : 2 = 3 m2

So the volume is:

V = 3 • 8 = 24 m3

Find the 5th term of the arithmetic sequence -5x – 5, -12x – 8,
- 19x – 11, ...

Answers

Answer:

5th term of AP = -33x - 17

Step-by-step explanation:

Given:

Arithmetic sequences;

[-5x - 5], [-12x - 8], [ - 19x - 11] , ...

Find:

5th term of AP

Computation:

First term a = [-5x - 5]

Common difference d = a2 - a1

Common difference d = [-12x - 8] - [-5x - 5]

Common difference d = -12x - 8 + 5x + 5

Common difference d = -7x -3

5th term of AP = a + [n-1]d

5th term of AP = [-5x - 5] + [5-1][-7x -3]

5th term of AP = [-5x - 5] + [4][-7x -3]

5th term of AP = [-5x - 5] -28x -12

5th term of AP = -5x - 5 -28x -12

5th term of AP = -33x - 17

Help with numbers 5-10

Answers

the answer of this equation is -5

Other Questions

The sequence below is a portion of exon 7 of the SMN1 mRNA transcript.5 - UCAAGUGAUUCUCCU - 3Which of the following represents the corresponding DNA coding strand sequence for this particular transcript?5 - TCAAGTGATTCTCCT - 3Sense (coding) DNA strand - 5-TCAAGTGAT-3mRNA Strand - 5-UCAAGUGAU-3AntiSense (non-coding) DNA- 3'-AGTTCACGA-5' which of the following assessments should be used at the individual level to classify someone as overweight? select all that apply a. waist to hip ratio b. body mass index c. body composition d. waist measurement CAN SOMEONE HELP WITH THIS QUESTION? 11. How is state intervention seen in terms of economicdevelopment in The Public Choice Theory approach?Please do not answer if you are not sure! 8. The graph shows the relationship between the United States dollar andthe euro, the currency of the European Union, in December 2011. Part A:What is the constant of proportionality shown in the graph?*Exchange Rate (December 6, 2011)YA(400, 300)300Number of euros200(250, 187.50)100(120, 90)0100 200 300 400Number of US dollarsYour answer Question 1(Multiple Choice Worth 2 points)(10.03 MC)Select the sentence that correctly uses a prepositional phrase. Andy in her backpack has extra supplies. Around the corner. Belle spotted a lost dog. Through her binoculars, Kathryn spotted a hawk. Mika wore under her hiking boots thick wool sock 55 + h = -7 h = what What carbonyl compounds might you start with in a Grignard synthesis of the following compound? 3-phenyl-3-pentanol - You do not have to consider stereochemistry. - If more than one structure fits the description, draw them all. - There may be up to three carbonyl compounds that could be used. - Any ester used should be a methyl ester. - Draw one structure per sketcher. - Add additional sketchers using the dropdown menu in the bottom right corner. - Separate structures with + signs from the dropdown menu. work out the size of angle x =304-115 The region around the earth where charged particles are trapped and spiral around is called:______. What is the difference between international and domestic travel? Find the slope of the line through each pair of points. (5, 5) (0, 1) The box plot represents the scores on quizzes in a history class.A box plot uses a number line from 69 to 87 with tick marks every one-half unit. The box extends from 75 to 82 on the number line. A line in the box is at 79. The lines outside the box end at 70 and 84. The graph is titled History Quizzes, and the line is labeled Scores on Quizzes.What value does 75% of the data lie below? Peer-reviewed papers are considered trustworthy because theyA.Have more than one author incorrect answerB.Prove their hypotheses incorrect answerC.Have been checked by other scientistsD.are published frequently Could I have some help with the two in the photo please? Thanks. The side lengths of a 30-60-90 triangle are in the ratio 1: 3: 2. What is tan 30? V3 3 B. 1 2 C. 3 2 O D. 3 SUBMIT density-independent factors that regulate population include all of the following except Some hackers are skillful computer operators, but others are younger inexperienced people who experienced hackers refer to as? answer both for points write a query to find out how many products had a scrapped quantity greater than 20. list the product id, product name, product number, work order id, order quantity, scrapped quantity, and scrap reason id. sort by scrapped quantity, and then by product id. use production.product and production.work order tables. you should get 95 records.

Divide 10x^4-14x³-10x²-10 by x³-3x²+x-2 The quotient is The remainder is

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Divide 10x^4-14x³-10x²-10 by x³-3x²+x-2

The quotient is
The remainder is