Use synthetic division to solve (4 x cubed minus 3 x squared 5 x 6) divided by (x 6). what is the quotient?

Answers

Answer 1

Polynomials are expressions. The solution of the division can be written as [tex]4x^2-27x+167-\dfrac{996}{x+6}[/tex].

What is a polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The division of the polynomial  (4x³-3x²+5x+6) when divided by (x+6), can be done in the following manner,

[tex]\dfrac{4x^3-3x^2+5x+6}{x+6}[/tex]

[tex]=4x^2+\dfrac{-27x^2+5x+6}{x+6}[/tex]

[tex]=4x^2-27x+\dfrac{167x+6}{x+6}[/tex]

[tex]=4x^2-27x+167+\dfrac{-996}{x+6}\\\\\\=4x^2-27x+167-\dfrac{996}{x+6}[/tex]

Hence, the solution of the division can be written as [tex]4x^2-27x+167-\dfrac{996}{x+6}[/tex].

Learn more about Polynomial:

https://brainly.com/question/17822016

Answer 2

Answer:

Step-by-step explanation:

OPT D ON EDG 2023


Related Questions

what's an easy way to turn a fraction into a percent?

Answers

Answer:

Step-by-step explanation:

divide the numerator by the denominator (of the fraction). take that answer and multiply it by 100 and that is ur percent

hope that makes sense

~Shoto Todoroki here~

Answer:

1. Use division to convert the fraction to a decimal.2.Multiply by 100 to get percent value.

Step-by-step explanation:

hope this helps :D

HELPPP FOR BRUANLEST!!!

Answers

Answer:

2/15

Step-by-step explanation:

slow heart rate and blue eyes (2) over total (15)

2/15 doesn't simplify

Answer:

13/100 is my final answer

Step-by-step explanation:

First, in order to get blue eyes, you need to be part of 40% thats not much but not little either. Then in order to get A fast heart rate out of that, you need to be part of the 26% out of 40% and that leaves you with 13 to 14 %.

I say 13 to 14 because both the 13 and 26 % came from a decimal that went on forever but due to rounding it can be 27 gets fast heart rate with 13 percent gets slow heart rate and blue eyes or 14 gets it and 26 gets faster

Hope this helped.

A brainliest is always appreciated.

find the value of x trigonometry

Answers

Step-by-step explanation:

sin30° = x/14

1/2 = x/14

1/2 × 14 = x

x = 7

cos30° = y/14

squareroot3/2 = y/14

0.866 = y/14

y = 0.866 × 14

y = 12.124

please help me, include an explanation if possible!

Answers

Answer:

(10, 18)

Step-by-step explanation:

y=2x-1

*x value*

AC=2AB

2c=2(2)(5)

2c=4(5)

2c=20

c=10

*y value*

AC=2AB

3c=2(3)(9)

3c=6(9)

3c=54

c=18

PLEASE EXPLAIN HOW TO DO THIS

Answers

Answer:

B) 243 km^3

Step-by-step explanation:

The formula for volume is Length x width x height, so we must find those values. By looking at the shape, the length is 9 km, width is 9 km, and height is 3 km, and after substituting these values in the equation, we get 9 km x 9 km x 3 km. When multiplied, it equals to 243 km^3, so the answer for the volume of the solid is B) 243 km^3.

Hope this helped somewhat! :P

I think just by just doing the basic volume formula of h•w•l so 3•9•9

Two sides of an isosceles triangle measures 20 in and 10 in. What is a possible value of the third side

Answers

20 inches only
Because when the third side is 10, the triangle cannot be formed.

Pls mark me as the Brainliest, ty!
Have a good day:)

What is the measure of angle J in the triangle below? options
a)99⁰
b)42⁰
c)9⁰
d)48⁰​

Answers

I think the answer is 99

Type the correct answer in the box. Use numerals instead of words. Erika and Rita have added a 1-mile walk to their daily exercise schedule. The table lists the time each of them took to walk the 1-mile distance over the past five days. Erika’s Time (in minutes) Rita’s Time (in minutes) 20 21. 25 21. 5 24. 75 22. 75 23 23. 25 23 20. 25 20. 75 On average, it takes Erika about minute(s) per mile less than Rita.

Answers

Answer:

The answer is 1.2

Step-by-step explanation:

It takes Rita 22.75 on average, and it take Erika 21.55 to walk the mile on average.

21.55 + 1.2 = 22.75

therefore, it takes Erika 1.2 minutes per mile less than Rita.

On average, Erika is much slower than Rita by 1 minute.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Since, There are two sets of data: Erika's and Rita's.

Now, we have to find the average values for each of both and compare them.

We would assume that the order of the presentation of data points is alternating,

first for Erika followed by Rita.

Hence, To illustrate what I mean, let's say

in Day 1, Erika's time is 20 and Rita's time is 21.25.

In Day 2, Erika's time is 21.5 and Rita's is 24.75.

And so on and so forth.

So, We get;

Erika's average is,

= (20+21.5+22.75+23.25+20.25)/5

= 21.55

Rita's average is,

= (21.25+24.75+23+23+20.75)/5

= 22.55

Hence, On average, Erika is much slower than Rita by 1 minute.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

Which graph represents the equation y= -1/2x -3 ?

Answers

The graph that represents the equation y = -1/2x -3 is B

What is a graph?

A graph is a series of points, discrete or continuous, forming a curve or a straight line, each of which represents a value of a given function.

Graphs could be positive, or negative.

When the increase in y results to an increase, in x then the graph is said to be positive graph while and increase in y leads to a decrease in x is called negative graph.

From the equation, y = -x/2 -3

If x = 0, then the y-intercept is  -3 which is below the x -axis.

Also, if x = 2, y will be -4, if x = 4, y = -5

These shows that as x increases y- decrease, making it a negative graph which slopes from left to right passing through the y-axis at x = -3 which is graph B

In conclusion the graph that represents the given equation is B

Learn more about graph: https://brainly.com/question/25799000

#SPJ1

Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium.

Answers

Answer:

could you take a screen shot and link the graph pls?

Step-by-step explanation:

iPad: $499 Sale: 30% off What is the new cost of the iPad?

Answers

Answer:

$349.3

Step-by-step explanation:

Discount = Original Price*Discount %/100

Discount = 499*30/100

Discount = 499*0.3

You save = $149.70

Final Price = Original Price - Discount

Final Price = 499 - 149.7

Final Price = $349.30

solve the equation
-3(2x - 1)= 4x - 7

Answers

Answer:

X = 1

Step-by-step explanation:

Subtract 3 from both sides:

-6x+3-3=4x-7-3

Simplify the equation above:

-6x=4x-10

Subtract 4x from both sides:

-6x-4x=4x-10-4x

Simplify the equation above:

-10x=-10

Divide both sides by 10:

-10x/10=-10/10


3
(
2


1
)
=
4


7

3
(
2
x

1
)
=
4
x

7
Solve
1
Distribute

3
(
2


1
)
=
4


7

3
(
2
x

1
)
=
4
x

7

6

+
3
=
4


7

6
x
+
3
=
4
x

7
2
Subtract
3
3
from both sides of the equation
3
Simplify

I really need help with this question

Answers

Answer:

36

Step-by-step explanation:

[tex]2(2x - 5) = 2 x+ {2}^{3} \\ 4x - 10 = 2 x + {2}^{3} \\ 4x = 2x + 8 + 10 \\ 4x = 2x + 18 \\ 4x - 2x = 18 \\ 2x = 18 \\ x = \frac{18}{2} \\ x = 9 \\ \\ 4x = 4 \times 9 = 36[/tex]

Rewrite the following equation in slope-intercept form.

3x − 11y = 19

Answers

Answer:

y = 3/11(x) - 19/11

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

[tex]3x-11y-3x=19-3x[/tex] [tex]-11y=-3x+19[/tex]

Step 2: Divide both sides by -11.

[tex]-11y/-11=(-3x+19)/-11[/tex] [tex]y=\frac{3}{11}x-\frac{19}{11}[/tex]

Therefore, the answer is y = 3/11(x) - 19/11.

Please help me. Picture below

Answers

Answer:

1. Median is 79 (in)

(78+80/2 => gives halfway point)

2. 7 (in)

(IQR is UQ - LQ => that is 82 - 75)

3. LQ is 75 (in)

4. Maximum height is 84 (in)

(the largest value or the tallest you could be)

I've included units - pretend they don't exist.

Hope this helps!

Solve the equation for y.
8x – 9y = 11
A. y = −9/8x − 9/11
B. y = −8x − 11
C. y = 8/9x − 11/9
D. y = 9/8x + 11/8

Answers

Step-by-step explanation:

8x - 9y = 11

8x = 9y + 11

8x - 11 = 9y

y = 8x/9 - 11/9

so, C is correct

What is the value of f

Answers

What is the value of f

Answer : f=9

2x-4=x+1 giải phương trình

Answers

Answer:

Step-by-step explanat ion: 2x - 4 - x - 1 = 0
<=> x - 5 = 0
<=> x = 5


I will give you 40 point plus Brainliest!!!
You have opened a jar of 250 toothpicks, and want to see how many pyramid levels you can make.

Answers

You can make 21 rows
You can make 21 rows

What is the slope of the line that passes through the points (-8,-6) and (-8, 4)?
Write your answer in simplest form.

Answers

Answer:

Slope is undefined

Step-by-step explanation:

To find the slope, subtract the y's and put that on top of a fraction. Then subtract the x's and put that on the bottom of the fraction.

This works all the time for any two points.

Here, though, we find the top

4 - -6

= 4 + 6

= 10

10 would go on top.

But then, on the bottom we get

-8 - -8

= 0

We get zero. As you know, you CANNOT have zero on the bottom of a fraction.

For the slope calculation we get 10/0

The slope is undefined.

Also, if you graph these two points, it's a verticsl line. Vertical lines (up and down) have an undefined slope.

find the midpoint between the two points (-11,-14) and (-40,22)

Answers

Answer:

Mid = ( -51 / 2 ), 4

Step-by-step explanation:

Mid = ( x1 + x2,   y1 + y2 )

                /              /

                2             2

Mid = ( -11 + (-40)),   (-14 + 22 )

                /                      /

                2                    2

Mid = ( -51 ),   ( 8 )

            /           /

           2          2

Mid = ( -51 / 2 ), ( 4 )

I hope this helps!

In an n-sided polygon, two angles are right angles and each of the remaining angles is 150°. Find the value of n.

Answers

Answer: 8

Step-by-step explanation:

Select the correct answer.
In the figure, a pair of parallel lines is cut by a transversal. What kind of angle are angles A and C?

A.
corresponding angles
B.
alternate interior angles
C.
vertical angles
D.
supplementary angles

Answers

Answer B …… if im not wrong
The answer is “C. vertical angles”

Vertical angles are defined as opposite angles formed by intersecting lines, which angles A and C represent on the graph.

I hope this helped!!

A startled armadillo jumps straight into the air with an initial vertical velocity of 14ft / s . After how many seconds does it land on the ground? Use the equation - 16t ^ 2 + Vt + h . Round your answer to the nearest hundredth. The armadillo lands back on the ground after seconds.

Answers

Using the given equation, it is found that it lands on the ground after 0.875 seconds.

What is the equation for the projectile's height?

It is given by:

[tex]h(t) = -16t^2 + vt + h[/tex]

In which:

v is the initial velocity.h is the initial height.

In this problem, considering that the projectile jumps straight into the air with an initial vertical velocity of 14 ft/s, the parameters are v = 14 and h = 0, hence:

[tex]h(t) = -16t^2 + 14t[/tex]

It lands on the ground when h(t) = 0, hence:

[tex]-16t^2 + 14t = 0[/tex]

[tex]t(-16t + 14) = 0[/tex]

Then:

[tex]16t = 14[/tex]

[tex]t = \frac{14}{16}[/tex]

[tex]t = 0.875[/tex]

It lands on the ground after 0.875 seconds.

More can be learned about equations at https://brainly.com/question/25537936

Please help! Problem is below!

Answers

Answer:

1

Step-by-step explanation:

remember that [tex]|a| = a[/tex]if a is positive or zero, and [tex]|a| = -a[/tex]if a is negative.

[tex]4-| |14|-11| = 4-|14-11| = 4-|3| = 4-3 = 1[/tex]

The awnser is going to be 1

A rectangular park has a perimeter of 374 feet and a length of 65 feet. What is the width of the park?​

Answers

Answer:

122

Step-by-step explanation:

Use the formula P=2(l+W)

the length would be 65ft and the perimeter would be 374

help me, please !!!!!

Answers

Answer:

Step-by-step explanation:

what is the question?

For a one-tailed test (lower tail) with a sample size of 10 and a .10 level of significance the t value is _____. a. –1.372 b. 1.383 c. –2.821 d. –1.383

Answers

Answer:

b 1.383

Step-by-step explanation:

it is a positive number

A newly opened juice shop earned a profit of $2,400 in the first month. For the remaining months of the year, the expected profit is modeled by the function J(t) = 2.5t + 1,250, where t is the number of months after the first month the shop opened.

Create a function, P(t), that describes the total profit earned for the entire year.
P (t) =

Answers

First month's profit of the company = $2,400.

After the first month, the profit is modeled by the function

J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.

Now, P(t) describes the total profit earned by the company.

So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)

= 2400 + (2.5t + 1250)

= 2.5t + 3650

Hence, total profit earned for the year = 2.5t + 3650.

OMG PLEASE, I NEED HELP! I am not understanding this topic or what to do. If you know the answer than comment down below :)

Answers

in column 1 is the number outside the bracket and the addition or subtraction of the number inside the bracket

first in column 2 you will multiply the number that is outside the bracket

in column 3 that is when I give the number outside the bracket multiply by the number inside the bracket

in column 4 this is when you have finished multiplying the numbers you minus or add them to give ur final answer

column 5 is your final answer :-)

Other Questions
Roderigo has just finished paying back his $8,575 unsubsidized Stafford loan, which he took out to fund his four-year degree. The loan had a duration of ten years and an interest rate of 7. 1%, compounded monthly. Roderigo will allow interest capitalization. If Roderigo made monthly payments to pay off his loan, how much interest did he pay in total? Round all dollar values to the nearest cent. A. $4,547. 02 b. $3,426. 20 c. $7,353. 80 d. $5,436. 20 Please select the best answer from the choices provided A B C D. Base 10 refers to which number system? What are some simple origami you can fold with A4 paper? Don't include - Paper airplane, paper frog, boat, or hats, I already know them. Please list no less than 3. Thank you! Briefly explain why experiments having faulty design or inconsistent data are problems for scientists. List several reasons One of the most important things you can do for yourself before you apply for a job is take a(n) ________ of your skills and experiences.A. mental pictureB. photographC. inventoryD. memory What is electrical current? "In a literary analysis essay, the thesis statement makes an assertion that the rest of the paper must prove."O TrueO False Which answer choice lists the steps of the scientific method in the correct order?. A person who supports laissez-faire economics believes in:A)government regulation of all aspects of industry.B)higher taxes.C)trade restrictions.D)little government interference in the economy. My friend had concluded that if he took his language and culture out of his poetry, he stood a better chance of receiving a fellowship. He took out his native language, the poetic patois of our reality, the rich mixture of spanish, english, pachuco and street talk which we know so well. In other words, he took the tortillas out of his poetry, which is to say he took the soul out of his poetry. Which best explains how anayas text structure establishes his voice in the excerpt?. How is an adjective phrase different from an adverb phrase?A. An adjective phrase describes an action; an adverb phrase describes a person, place or thingB. An adjective phrase modifies an adjective; an adverb phrase modifies an adverbC. An adjective phrase modifies a noun; an adverb phrase modifies a verbD. An adjective phrase contains a pronoun; an adverb phrase does notBEST ANSWER AND MOST DETAILED GETS BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!! What is the y-value when x equals-12? y=-200 - 6(x) If x = 9 and y = -3, evaluate the following expression: = 6x - 8y Two cars leave New York at the same time traveling in opposite directions. One travels at an average speed of 59mph and the other at 58mph. In how many hours will they be 468 miles apart? Answer and you worlds smartiest. HELEP will give BRANILIESt!In both Athenian and Spartan societies, __________ were at the top of the social pyramid.Select one:land ownerswealthy merchantsreligious leadersmilitary leaders [ Vivian's Move]Short Response How do paragraphs 2 and 3 help to develop the theme of the story? Use two details from the story to support your response. In the word truthful, the suffix is A.) ul B.) fulC.) tru The table shows the number of gallons of gas used and the number of miles driven. Gallons of Gas Used 12 15 18 12 14 16 Miles Driven 300 400 450 350 400 450 Is the resulting data set a function? Explain your reasoning. A The table is a function. The function can have more than one input value paired with the same output value. B The table is a function. The function can have more than one output value paired with the same input value. C The table is not a function. The function cannot have different input values paired with the same output value. D The table is not a function. The function cannot have the same input value paired with different output values. please answer B and C for me, i already know A. Use the information below to answer 13.Three students are playing a video game. Each player is randomlyassigned a character from a collection of characters that includes5 blue, 6 green, and 3 red characters. After each character is picked,it is not replaced in the collection.A. What is the probability that the first player does not get a blue character?B. The first player gets a blue character. What is the probability that thesecond player also gets a blue character?C. Both the first and second players get blue characters. What is theprobability that the third player does not get a blue character?