Use the long division method to find the result when 4x^3+15x^2+17x+6 is divide by 4x+3

Answers

Answer 1

The result when 4x³ + 15x² + 17x + 6 is divide by 4x + 3 using long dividion method will be x² + 3x + 2.

Given that:

Dividend, 4x³ + 15x² + 17x + 6

Divisor, 4x + 3

The division of the polynomial is given below.

4x + 3 ) 4x³ + 15x² + 17x + 6 ( x² + 3x + 2

         - (4x³ + 3x²)

                    12x² + 17x

                 - (12x² + 9x)

                               8x + 6

                            - (8x + 6)

                                0    0    

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ1


Related Questions

PLS HELP ME RNNNNNNNNN

Answers

i) There is no solution for x when y<0.

ii) When y>0, the solutions for x are x=4 and x=0.

iii) When y=0, the solutions for x are x=4 and x=0

To use a graph to find the value of x for the given values of y in the equation y=-|x-2|+2, we can follow these steps:

i) When y<0:

The graph of y=-|x-2|+2 is below the x-axis when y<0. Therefore, there is no solution for x when y<0, because there is no point on the graph that has a negative y-coordinate.

ii) When y>0:

The graph of y=-|x-2|+2 intersects the x-axis at two points when y>0. To find the x-coordinates of these points, we can set y=0 in the equation y=-|x-2|+2 and solve for x, as shown in the previous answer.

The x-intercepts are at (4,0) and (0,0), which means that the graph crosses the x-axis at x=4 and x=0 when y>0.

iii) When y=0:

To find the x-coordinate(s) of the point(s) where the graph intersects the x-axis (i.e., where y=0), we can look at the x-intercepts that we found in part ii) above. The x-coordinate(s) of the point(s) where the graph intersects the x-axis are x=4 and x=0, so the solutions for x when y=0 are x=4 and x=0.

Therefore, i) There is no solution for x when y<0.

ii) When y>0, the solutions for x are x=4 and x=0.

iii) When y=0, the solutions for x are x=4 and x=0 (the x-intercepts).

Learn more about Graphs here

https://brainly.com/question/17267403

#SPJ1

Is y = 2x^3+5 a linear function

Answers

Answer:

No

Step-by-step explanation:

No, y = 2x^3 + 5 is not a linear function. A linear function is a function that can be written in the form y = mx + b, where m and b are constants and x is the independent variable.

In the function y = 2x^3 + 5, we have a cubic term (x^3), which means that the function is not linear. The graph of a cubic function will have a curved shape, unlike a linear function, which will always be a straight line.

In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a dog given that they have a cat?

Answers

The probability that a student has a dog given that they have a cat is 2/5.

To find the probability that a student has a dog given that they have a cat, we need to use conditional probability. We can use the formula:

P(Dog | Cat) = P(Dog and Cat) / P(Cat)

where P(Dog and Cat) is the probability that a student has both a dog and a cat, and P(Cat) is the probability that a student has a cat.

From the given data table, we can see that there are a total of 25 students in the class, and 15 of them have a cat. Of the 15 students with a cat, 6 also have a dog. Therefore, P(Dog and Cat) = 6/25 and P(Cat) = 15/25.

Substituting these values into the formula, we get:

P(Dog | Cat) = (6/25) / (15/25) = 6/15 = 2/5

Therefore, the probability that a student has a dog given that they have a cat is 2/5 or 0.4.

To learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

What fraction does each part represent? Drag the tiles to make a fraction that represents each part of Alexi's circle. 1 2 5 6 8 ​

Answers

Answer:

To represent each part of Alexi's circle as a fraction, we need to determine the total number of parts in the circle and the number of parts represented by each tile.

Adding up the number of tiles, we get:

1 + 2 + 5 + 6 + 8 = 22

So there are a total of 22 parts in Alexi's circle.

To find the fraction represented by each tile, we can divide the number of parts represented by the tile by the total number of parts in the circle.

Starting with the first tile, which represents 1 part, the fraction it represents is:

1/22

Moving to the second tile, which represents 2 parts, the fraction it represents is:

2/22 = 1/11

Continuing in the same way for the remaining tiles, we get:

The tile representing 5 parts represents the fraction 5/22The tile representing 6 parts represents the fraction 6/22, which simplifies to 3/11The tile representing 8 parts represents the fraction 8/22, which simplifies to 4/11

So the fractions represented by each part of Alexi's circle are

1/221/115/223/114/11

Find a quadratic equation which has solutions x=7 and x=-9. Write the quadratic form in the simplest standard form x^2+bx+c=0

Answers

Answer: x^2+2x-63

Step-by-step explanation:

Quadratic Equation = x^2-(Sum of Solution)x+(Product of Solution)

                                =x^2-(7-9)+(7*(-9))

                                =x^2+2x-63

More about Quadratic Equation:

https://brainly.com/question/1214333

calculate the area of a circle whose circumference is 44cm​

Answers

Answer:

153.94 square centimeters.

Step-by-step explanation:

To calculate the area of a circle when the circumference is given, you can use the formula:

Circumference = 2 * pi * r, where pi is approximately equal to 3.14 and r is the radius of the circle.

We can rearrange this formula to solve for the radius:

r = Circumference / (2 * pi)

Substituting the given value of circumference:

r = 44 cm / (2 * 3.14) = 7.006 cm (rounded to three decimal places)

Now that we have the radius, we can calculate the area of the circle using the formula:

Area = pi * r^2

Substituting the value of r:

Area = 3.14 * 7.006^2 = 153.94 cm^2 (rounded to two decimal places)

Therefore, the area of the circle is approximately 153.94 square centimeters.

x − 9 ≥ −6
solve the inequality

Answers

Answer: x ≥ 3

Step-by-step explanation:

after the school carnival there were 20 apples left over eight students shared these apples equally how many apples did each student receive​

Answers

Answer:

They would have gotten 2 full apples each. There would be 4 left over. If they decided to split those 4 apples, they would have gotten 2 1/2 apples each.

Step-by-step explanation:

20 ÷ 8 = 16 R 4

16 ÷ 8 = 2 (the full apples they got each_)

4 x 2 = 8 (split the 4 apples in half to make 8)

Therefore, each student would have gotten 2 full apples and 1/2 of an apple.

Chris and Monique have equal-sized cookie cakes
cut into 8 equal slices. Chris gave away
3 slices Monique gave away 4 slices. Select
numbers and symbols from the box to write a
comparison for the fractions of cake Chris and
Monique each gave away.

Answers

Monique gave away a greater fraction of cake than Chris.

How to explain the fraction

We can represent the fraction of cake Chris gave away as 3/8, and the fraction of cake Monique gave away as 4/8 (which can be simplified to 1/2)

3/8 ______ 1/2

In order to compare the fractions, we can convert them to have a common denominator. The smallest common multiple of 8 and 2 is 8, so we can write:

3/8 = 3/8

1/2 = 4/8

Now we can fill in the symbol to complete the comparison:

3/8 < 1/2

Therefore, Monique gave away a greater fraction of cake than Chris.

Learn more about fractions on

https://brainly.com/question/17220365

#SPJ1

Helpppp this is for geometry

Answers

The correct statements regarding the transformations are given as follows:

FG and F'G' have the same length.<G and <G' have the same measure.

What are transformations on the graph of a function?

Examples of transformations are given as follows:

Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.

For the transformation 1, we have a reflection, which keeps both the side lengths and the angle measure constant, just changing the orientation of the figure.

More can be learned about transformations in a figure at https://brainly.com/question/28687396

#SPJ1

1
Select the correct answer.
What does it mean when the correlation coefficient has a positive value?
O A.
OB.
O C.
O D.
When x increases, y decreases, and when x decreases, y increases.
When x increases, y increases, and when x decreases, y decreases.
When x increases, y decreases, and when x is constant, y equals zero.
When x increases, y increases, and when x is constant, y decreases.

Answers

Answer:

The correct answer is B.

When x increases, y increases, and when x decreases, y decreases.

Write an equation then find the value of y when x =16. Show all work.

Answers

The equation can be y = 3x + 7, evaluating it in x = 16 we will get:

y = 55

How to write and evaluate an equation?

We can write a linear equation, which is the simplest type of equations.

For example, let's define:

y = 3x + 7

Now the evaluation.

We want to find the value of y when x = 16. To do so, we need to evaluate the equation in x = 16, that means replacing the variable x by the number, then we will get.

y = 3*16 + 7

y = 55

Learn more about evaluations at:

https://brainly.com/question/1719822

#SPJ1

7cm=_____ m

Customary metric units

Answers

Answer:

7 cm is equal to 0.07 m.

To convert centimeters to meters, you need to divide the number of centimeters by 100, since there are 100 centimeters in a meter.

So, 7 cm / 100 = 0.07 m.

7cm= 0.07 M is the answer

The dimensions of a cylinder are shown in the diagram




Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters

Answers

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

A car is driving on a road with a velocity of 20 − 10t miles per hour,
where t is the time in hours since the car started driving. What is the total distance
travelled by the car between times t = 0 and t = 3? Show work.
a. 5mi
b. 10mi
c. 15mi
d. 20mi
e. 25mi

Answers

The total distance traveled by the car between t = 0 and t = 3 is given as follows:

c. 15 mi.

How to obtain the total distance?

The velocity function is given as follows:

v(t) = 20 - 10t.

The distance function is the integral of the velocity function, hence it is given as follows:

d(t) = 20t - 5t².

The distance at t = 0 is given as follows:

d(0) = 20(0) - 5(0)²

d(0) = 0.

The distance at t = 3 is given as follows:

d(3) = 20(3) - 5(3)²

d(3) = 15.

Hence the total distance is given as follows:

15 - 0 = 15 mi.

More can be learned about velocity and distance at https://brainly.com/question/4931057

#SPJ1

how to get the greatest common factor of 152,171 and 57​

Answers

To find the greatest common factor (GCF) of three numbers, you can use the prime factorization method:

1. Find the prime factorization of each number:

- 152 = 2^3 * 19

- 171 = 3 * 3 * 19

- 57 = 3 * 19

2. Identify the common prime factors: 19 is the only common prime factor.

3. Multiply the common prime factors together: 19.

Therefore, the greatest common factor of 152, 171 and 57 is 19.

Which one of these tables are proportional? Show your work.

Answers

Answer:

Table B is proportional since y = 1.5x:

4.5 ÷ 3 = 1.5

7.5 ÷ 5 = 1.5

10.5 ÷ 7 = 1.5

why are inverse realashinships between operations used to solve twop step inqualites

Answers

Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.

A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.

For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.

The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:

2x + 5 > 11

2x > 6 (subtract 5 from both sides)

x > 3 (divide both sides by 2)

Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.

Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.

By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.

To learn more about inverse relationship click on,

https://brainly.com/question/28628342

#SPJ1

There are 200 kids in the 7th grade at smith middle school. If 25% of them purchase a school t-shirt that costs $20, how much money did the 7th grade spend on t-shirts?

Answers

Answer:

$1,000.

Step-by-step explanation:

200 kids divided by 25% or 4 = 50 then 50 x 20 = 1,000.

what fractional part of 70 is 28

Answers

The fractional part of 70/28 is 35/14 i.e., 2.5

Percentage:

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100

28 of 70 can be written as:

=> [tex]\frac{28}{70}[/tex]

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

[tex]\frac{28}{70}[/tex] × [tex]\frac{100}{100}[/tex]

=> (28 × 100) /70 ×[tex]\frac{1}{100}[/tex]

=> 40/100

Therefore, the answer is 40%

The fractional part of 70/28 is 35/14 i.e., 2.5

Learn more about Fractional part at:

https://brainly.com/question/15993912

#SPJ1

The product of p is and -8 is less than 24

Answers

The statement The product of p is and -8 is less than 24 as an expression is -8p <  24

Writing the statement as an expression

From the question, we have the following parameters that can be used in our computation:

The statement represented as

The product of p is and -8 is less than 24

Less than is represented using the symbol <

So, we have

The product of p is and -8 is less than 24: The product of p is and -8 is <  24

Represent products as *

So, we have

The product of p is and -8 is less than 24: -8p <  24

Hence, the expression is -8p <  24

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

2 Construct an x chart. Answer the questions associated with each given data set.

Answers

The overall mean of data set is 49.57. Option D

How do we find the over all mean of a data set?

The overall mean is all the sums of the means divided by the total number of set in the table.

All the mean in the table are 42. 75 + 51. 75 + 50.00 + 49.50 + 51.25 + 47.25 + 50.75 + 47.75 + 56.50 + 47.50 + 38.75 + 49.25 + 57.00 + 48.75 + 54.75 = 743.5

We see that there are 15 data set.

mean = 743.5/ 15

Overall mean = 49.57

Find more exercises on that included overall mean;

https://brainly.com/question/14819376

#SPJ1

jashon will spin this spinner 150 times how many times should he expect to land on a 3

Answers

Okay, let's break this down step-by-step:

* The spinner has 5 equal sections, numbered 1 through 5.

* Each section represents a 1 in 5 chance of landing on a particular number.

* The spinner has a 3 section.

* Jashon will spin the spinner 150 times.

So, to calculate the expected number of times a 3 will come up:

* There is 1 section for the number 3 out of the 5 total sections.

* So the probability of landing on the 3 section is 1/5 = 0.2

* In 150 spins, the probability of landing on 3 will be 0.2 multiplied by 150 spins.

* So 0.2 * 150 = 30

Therefore, if Jashon spins the spinner 150 times, he can expect the number 3 to come up approximately 30 times.

Let me know if you have any other questions!

Find a quadratic equation which has solutions x=9+9square root of 13and x=9-9square roof of 13. Write the quadratic form in the simplest standard form x^2+bx+c

Answers

We can write the quadratic in standard form as:

y = x² -18x - 1053

How to find the quadratic equation?

For a quadratic equation whose solutions are:

x = x₁

x = x₂

We can write it as:

y = (x - x₁)*(x - x₂)

Here the solutions are:

x = 9 + 9√13

x = 9 - 9√13

Then we can write the quadratic as:

y = (x - 9 - 9√13)*(x - 9 + 9√13)

Expanding that:

y = x² -18x - 81*13

y = x² -18x - 1053

Learn moer about quadratic equations at:

https://brainly.com/question/1214333

#SPJ1

what's 253 divided by 4 and pls show work!

Answers

Answer:

253 divided by 4 is 63.25.

Here's the work:

```

4) 253.00

   24

  ---

    13

    12

   ---

     13

     12

    ---

      1

```

Therefore, the answer is 63.25.

Determine that the value x=9 of the following expiration given x2+3x-5​

Answers

Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

Graph the function f(x)=3x2–6x+2.
Plot the vertex. Then plot another point on the parabola

Answers

The graph of the function f(x) with vertex (1, 2) and another point (0, 2) is shown below.

Consider a function f(x) = 3x² - 6x + 2

We know that the graph of quadratic function is a parabola.

We graph the function f(x)

The graph of function f(x) is shown below.

From the graph of f(x), we can observe that the vertex of parabola is (1, 2)

For x = 0 the value of the function f(x) would be,

f(x) = 3x² - 6x + 2

f(0) = 3(0)² - 6(0) + 2

f(0) = 0 - 0 + 2

f(0) = 2

This means that the y-intercept of f(x) is (0, 2)

Therefore, the reuired graph of the function f(x) is shown below.

Learn more about function here:

https://brainly.com/question/28193995

#SPJ1

PLEASE HELP Polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3). Determine the image vertices of K′L′M′N′ if the preimage is rotated 270° clockwise.

K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0)
K′(0, 0), L′(−2, −5), M′(−5, 5), N′(−3, 0)
K′(0, 0), L′(−5, −2), M′(5, −5), N′(3, 0)
K′(0, 0), L′(−5, −2), M′(−5, −5), N′(0, 3)

Answers

Answer:

K′(0, 0), L′(−2, 5), M′(5, 5), N′(−3, 0)

Step-by-step explanation:

To rotate a point $(x,y)$ by $270^{\circ}$ clockwise, we first swap the $x$ and $y$ coordinates and then negate the new $y$ coordinate.

Using this, we can find the image vertices of the given polygon as follows:

For vertex K(0, 0), we have $(0,0) \rightarrow (0,0)$. So K′ is at the origin.

For vertex L(5, 2), we have $(5,2) \rightarrow (2,-5)$. So L′ is at (-2, 5).

For vertex M(5, -5), we have $(5,-5) \rightarrow (5,5)$. So M′ is at (5, 5).

For vertex N(0, -3), we have $(0,-3) \rightarrow (-3,0)$. So N′ is at (-3, 0).

Therefore, the image vertices of the polygon KLMN after a $270^{\circ}$ clockwise rotation are K′(0, 0), L′(−2, 5), M′(5, 5), and N′(−3, 0).

Thus, the correct option is:

K′(0, 0), L′(−2, 5), M′(5, 5), N′(−3, 0)

What's the next form?

Answers

Answer:

I think it's 3

Step-by-step explanation:

it's skipping 2 after every three

A mountain climber is at an elevation of 10,000 feet. If she descends 2,000 feet a day, which equation would be used to show how many days it will take to reach sea level (0 feet)?

-10,000 ÷ (-2,000)
-10,000 ÷ 2,000
10,000 ÷ 2,000
10,000 ÷ (-2,000)

Answers

Answer: The correct equation to use is, C. 10,000 ÷ 2,000

Which simplifies to: 5

Therefore, it will take 5 days for the mountain climber to descend from an elevation of 10,000 feet to sea level, assuming they descends at a constant rate of 2,000 feet per day.

Learn more: https://brainly.com/question/31855547

Other Questions
When you split a peanut seed or a lima bean in half, what is the name for the two big fleshy leaves that fill most of the seed? Also, what is the red papery covering on the seed of a peanut and the translucent skin on a lima bean? (check lecture outline PEANUT NOTE) Nala is explaining how the development of adaptation by natural selection depends on sexual reproduction which statement is most useful for Nala to include her explanation The appropriate method for the disposition of underapplied or overapplied overhead of a manufacturerA. Is to cost of goods sold only.B. Is to finished goods inventory only.C. Is apportioned to cost of goods sold and finished goods inventory.D. Depends on the significance of the amount. explain three phases that typically occur when subcommittees consider a bill. for each phase, list two or three important things that happen during that step in the legislative process. In the following pdf, there is a math question. I just need you to fill in the blanks and tell me what goes in them. I am offering 15 points to whoever wants to deal with it. Please Help soon. How often and when are fusible plugs replaced? which of the following are reasons management might discourage unionization of its workforce? (select all that apply.) Suppose there are a large number of men who used to work or seek work who now no longer do either. Other things the same, this makes:. In todays housing market, 85% of individuals qualifying for a mortgage have a fico score of _______ or better. Where is the fusible plug located in a firebox boiler? Of the following the copper conductor that has the least resistance is: A.thin, long and hot B.thick, short and cool C.thick, long and hot D.thin, short and cool E.thin, short and hot Reamer Corporation uses a predetermined overhead rate based on machine-hours to apply manufacturing overhead to jobs. The Corporation has provided the following estimated costs for next year:Direct materials$1,000Direct labor$3,000Sales commissions$4,000Salary of production supervisor$2,000Indirect materials$400Advertising expense$800Rent on factory equipment$1,000Reamer estimates that 500 direct labor-hours and 1,000 machine-hours will be worked during the year. The predetermined overhead rate per hour will be:A) $6.80 per machine-hourB) $6.00 per machine-hourC) $3.00 per machine-hourD) $3.40 per machine-hour firms in an oligopoly: please choose the correct answer from the following choices, and then select the submit answer button. answer choices accept the market price as given. behave as perfect competitors. seek to maximize market share rather than to maximize profit. compete with one another for sales. How do you distinguish between of PA Ceph and Caldwell projection? which of the following is an advantage of having a moderate level of organizational conflict? multiple choice it energizes people to evaluate alternatives in decision making. it helps reduce organizational politics. it promotes organizational cohesion. it boosts employee motivation. Find a representation of the vector AB = (-10,-1) in Rby giving appropriate values for the points A and B such that neither A nor B is the origin. help (points) help (points) BE An object hangs motionless from a spring. When the object is pulled down, the sum of the elastic potential energy of the spring and the gravitational potential energy of the object and Earth the water in the colorado drainage basin flows into which body of water before it makes it to the pacific ocean? question 5 options: a) st. lawrence seaway b) gulf of california c) ohio river d) gulf of mexico just paid a dividend of $3.00 per share. if dividends have been growing at a constant rate of 4%, and you require an 11 percent return, what is the value of the stock? What is the inability to speak or understand language called?