Using long division, what is the quotient of 3x^4 + 20x^3 + 14x^2 + 17x + 30 and x + 6 ?

Answers

Answer 1

Answer: D

The first: (x+6)(3x3+2x2+2x+5)

The second:

factor x+6

Cannot factor

Step-by-step explanation: hope this help

Answer 2

The quotient is [tex]3x^3+2x^2+2x+5[/tex]

The correct answer is an option (D)

What is polynomial?

"A mathematical expression which is composed of variables, constants and exponents, that are combined using the mathematical operations."

What is long division?

"It is a method for dividing one large degree polynomial number into smaller degree polynomials."

What is quotient?

"It is the result of the division of a polynomial by any other polynomial."

For given question,

We have been given polynomials [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex]

We need to find the quotient when [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] is divided by x + 6.

Using long division the division of  [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex] is shown below.

Therefore, the quotient is [tex]3x^3+2x^2+2x+5[/tex]

The correct answer is an option (D)

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Using Long Division, What Is The Quotient Of 3x^4 + 20x^3 + 14x^2 + 17x + 30 And X + 6 ?

Related Questions

- 5n +5=55
Here is the equation how do you solve?

Answers

Answer:

the answer would be n= -10

Step-by-step explanation:

-5n+5 + 55

subtract 5 on both sides

-5n = 50

divide both sides by -5

n = -10

What I do is inverse operations for the individual number which is the 5 so
55-5=50 then After that figure out what -5 needs to be multiplied with to get 50 and since a negative times a negative is a positive you want to use N = -10

When x pounds of force is applied to one end of a lever that is L feet long, the resulting force y on the other end is
determined by the distance between the fulcrum (the lever's pivot) and the end of the lever on which the x pounds
of force is exerted,

Answers

The question is worded poorly, but it looks like you have a lever in equilibrium, with a force x at a distance d from the fulcrum, and a force y at a distance L - d from the fulcrum. You already have the equilibrium formula for this situation:

xd = y(L - d)

If you know x, y, and d, you can solve for the length L.

please help I'm trying to get a A​

Answers

Answer:

Im pretty sure the answer is A beacause all the other options seem to be wrong

Step-by-step explanation:

please mark brainliest

What transformation has occurred

Answers

Answer:

Step-by-step explanation:

distributive

Which expression has a value that is equal to the given expression when n = 8?



2n + 10




n² + 5


2(n+5)

10n + 2

3n

Answers

Answer:

2n+10 and 2(n+5)

Step-by-step explanation:

[tex]2n + 10 \\ 2(8) + 10 = 26 \\ and \\ 2(n + 5) \\ = 2(8 + 5) \\ = 2(13) = 26 \\ \: hence \\ 2n + 10 = 2(n + 5) = 26[/tex]

The answer is C) 2 (n+5)

Complete the congruence statement

Answers

Answer:

Triangle SUT...

You can thank me in the commrent

I WILL GIVE YOU BRAINLIEST ! PLEASE HURRY I AM TIMED!!

answer choices

A. The y-intercept of Function 1 is the same as that of Function 2.
B. The rates of change of both functions are positive.
C. The rate of change of Function 1 is the same as that of Function 2.
D. The y-intercept of Function 1 is greater than that of Function 2.

Answers

Answer:

C. The rate of change of Function 1 is the same as Function 2.

Step-by-step explanation:

The rate of change in an equation is the slope. In this case, function 1's slope is 1/2 and in function 2 - y=1/2x+3,  the slope, or rate of change, is also 1/2. This means that statement C. is correct. Hope this helps :) Good luck!!

PLS HELP ME NOW THERE DIFFERENT QUESTIONS

Answers

I think the answer is d

Charlie will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $48 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.14 per mile driven.

For what amount of driving do the two plans cost the same?
miles
What is the cost when the two plans cost the same?
$

Answers

Answer:

180; both plans would cost $82.20

Step-by-step explanation:

48+.19x=57+.14x

x=180

48+.19(180)=82.2

57+.14(180)=82.2

Ava and her children went into a movie theater and she bought $48 worth of drinks
and candies. Each drink costs $4 and each candy costs $3. She bought 2 more candies
than drinks. Graphically solve a system of equations in order to determine the
number of drinks, x, and the number of candies, y, that Ava bought.

Answers

Answer:

She got 12 drinks

and 14 candies!

The number of candies is 24 and number of drinks are 24.

What is linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

Given that, Ava and her children went into a movie theater, and she bought $48 worth of drinks and candies. Each drink costs $4 and each candy costs $3. She bought 2 more candies than drinks.

According to question,

4x+3y = 48

x-y = -2

Solving the equation graphically,

4x+3y = 48

Put x = 0, y = 16 (0, 16)

Put x = 12, y = 0 (12, 0)

x-y = -2

Put x = 0, y = 2 (0, 2)

Put x = -2, y = 0 (-2, 0)

Plotting the graph, we get, (attached)

The lines of the equations are intersecting at (6, 8)

Therefore, x = 6 and y = 8

Hence, the number of candies = 8*3 = 24 and number of drinks = 4*6 = 24

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A carpenter has a wooden that measures 1/4 meter long. He must cut the board into 6 pieces of equal length. How long in meters should the carpenter cut each piece.

Answers

Answer:

1/26 meter

Step-by-step explanation:

You would start by dividing 1/4 by 6. You'd have to multiply 1/4 by the reciprocal of 6 (the reciprocal of 6 would be 1/6). Then you get (1/4) * (1/6), which is equal to 1/24.

Carpenter should cut each piece of wooden board measuring [tex]\frac{1}{24}[/tex] meter.

Let the length of each piece = x meters

Since, the number of pieces (of equal length) of the wooden board = 6

Therefore, total length of wooden board = 6x

It's given in the question that the length of the wooden board is [tex]\frac{1}{4}[/tex] meter.

Therefore, 6x = [tex]\frac{1}{4}[/tex]

[tex]\frac{6x}{6}=\frac{1}{4\times 6}[/tex]

[tex]x=\frac{1}{24}[/tex] meter

    Hence, carpenter should cut each piece of wooden board measuring [tex]\frac{1}{24}[/tex] meter.

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Angle sum theorem y=? Degrees

Answers

Answer:

2x + 70 = 110

x = 20

Step-by-step explanation:

180-110 = 70

70 + 20 + y = 180

y =90

PLS HURRY!!
Pi is 3.14. What is the Golden Ratio?

Answers

Answer:

Step-by-step explanation:

Also known as the Golden Section, Golden Mean, Divine Proportion, or the Greek letter Phi, the Golden Ratio is a special number that approximately equals 1.618. ... The Fibonacci sequence is the sum of the two numbers before it. It goes: 0, 1,1, 2, 3, 5, 8, 13, 21, and so on, to infinity.

Answer:

1 + square root of 5 divided by 2

Two women painted a barn. Barbara can paint it alone in 5 days, and Sara in 8 days. They
started to paint it together, but after 2 days, Sara got bored and Barbara finished alone. How
long did it take her to finish?

Answers

Answer: she will need 2.8 days to finish the work.

Step-by-step explanation:

Let's define:

D = number of days.

B = rate at which Barbara paints a barn

S = rate at which Sara paints a barn

We know that Barbara can paint a barn in 5 days, then:

B*5 days = 1 barn

B = 1/5 barns per day.

And we know that Sara can paint it in 8 days, then:

S*8 days = 1 barn

S = 1/8 barns per day.

Now, when they work together, their rates are added.

Then if they work together for two days, they paint a total of:

(1/5 barns per day + 1/8 barns per day)*2 days

(8/40 barns per day + 5/40 barns per day)*2 days

(13/40 barns per day)*days = 26/40 barns

Now Sara needs to paint he other 14/40 barns in her own, she will need D days, then:

(1/8 barns per day)*D = 14/40 barns

D = (14/40 barns)/(1/8 barns per day) = (14*8/40) = 2.8 days.

So she will need 2.8 days to finish the work.

Can u guys help me quick plz I will make brainliest (I need help with 32)plzzzz

Answers

Answer:

A

Step-by-step explanation:

In the following equation f(n) = 2n + 3, what value represents the growth?

Answers

Answer:

3 represent growth it is the ans of this qn

Step-by-step explanation:

bcz 3 is increasing eqn by 3

If two angles of a triangle are congruent, then the sides opposite those
angles may not be congruent.
A. True
B. False
a
SUBM

Answers

If two sides of a triangle are congruent, then angles opposite those sides are congruent. ... The Converse of the Isosceles Triangle Theorem states: If two angles of a triangle are congruent, then sides opposite those angles are congruent.

That’s what I found
Hope this helps <33

PLEASE HELP ME ILL GOVE BRAINLY OR WHATEVER
?
What is the y-intercept of f(x) =(1/4)^x

a. (0,1)
b. (0,0)
c. (1,0)
d. (1, 1/4)

Answers

Answer:

(0,1)

Step-by-step explanation:

i recommend if you ever need a faster answer use desmos!

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.15 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 11.19

Answers

Answer:

97.5% of American women have shoe sized less than 11.19

Step-by-step explanation:

Here, we want to use the empirical rule to find the percentage of women with shoe sizes less than 11.19

The first thing we shall do here is to find the z-score

Mathematically, that will be calculated using the formula;

z = (x-mean)/SD

z = (11.19-8.15)/1.52

z = 2

We can see that the given value is 2 standard deviation away to the right of mean

So, we want to get the percentage that is between the mean and two standard deviations away from it using the empirical rule

So according to the empirical rule

The percentage will be

100-2.35-0.15

= 100-2.5 = 97.5%

Solve the question in the photo!!!!!!!!!!!!!

Answers

A negative divided by a positive = negative

A positive divided by a negative = negative

A negative divided by a negative = positive

The answer is D

Answer:

The answer is d

Step-by-step explanation:

Hope this helps

Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyrone works 40 hours per week and has no other sources of income, what is his total monthly cash inflow? (Hint: Assume that there are 4 pay periods per month.)

a.
$273.60
b.
$1,080.00
c.
$1,800.00
d.
$2,073.60

Answers

His total monthly cash inflow is $2073.6 which is the correct answer would be option (D).

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given that Tyrone’s hourly wage is $18

And he spends about $1,800 on his monthly expenses

Since Tyrone works 40 hours per week

So Monthly hours worked would be: 40 × 4 = 160

To determine the total wage

We have multiplied the hours worked by the wage rate  

So total wage = hours worked × wage rate  

Total Wage = 160 × 18 = 2880

Tyrone's net salary is 72% of his total income, as determined by the formula below:

Tyrone's net salary = 72% of the total Wage

Tyrone's net salary = 0.72× 2880

Tyrone's net salary = 2073.6

Therefore, His total monthly cash inflow is $2073.6 which is the correct answer would be an option (D).

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please solve will mark brainliest​

Answers

Answer:

Plot A has a greater median than Plot B, but Plot B has a greater mean.

Step-by-step explanation:

hope this helps

Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(x) is U .

Answers

Answer:

h(x) = x-5 . The domain of h(x) is (- infinity,3) U (3, infinity)

Step-by-step explanation: plato/edmentum

The domain of h(x) is  (-∞ , 3 ) ∪ (3,∞) .

What is domain?

The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

According to the question

f(x) = [tex]x^{2}[/tex] − 8x + 15

g(x) = x − 3

h(x) = f(x) ÷ g(x)

i.e,

h(x) = [tex]\frac{ x^{2} -8x + 15}{x-3}[/tex]

now,

x ≠ 3

[tex]h(x) = \frac{(x-5)(x-3)}{(x-3)}[/tex]

so,

Domain or x ∈ (-∞ , 3 ) ∪ (3,∞)

Hence, The domain of h(x) is  (-∞ , 3 ) ∪ (3,∞)

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PLEASE HELPPPPPPP
Use what you've learned about cosecant, secant, and cotangent to solve the following problem. Unless otherwise stated, round your answers to the nearest thousandth. Use cosecant, secant, or cotangent to find the value of x.​

Answers

Hello! :)

[tex]\large\boxed{x \approx 7.064}}[/tex]

In the diagram, we are given the opposite side of ∠A as 8.

We are trying to solve for the adjacent side, so we must use the appropriate trig.

Cotangent uses both the adjacent and opposite sides, so we can use this to find the value of x.

Cot (angle) = Adjacent / Opposite, therefore:

cot (28°) = x / 8

Multiply both sides by 8 to isolate for x:

8 · cos(28°) = x

Evalute cos(28°) using a calculator:

cos(28°) ≈ 0.88295

Multiply by 8 to solve for x:

8 · cos(28°) ≈ 7.064

A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 44 mph and a standard deviation of 3 mph.

Required:
a. Find the percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit.
b. What percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph?

Answers

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the  z-table   -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

     = 1 - 0.9772

     = 0.0228

or 2.28%

Please help I’m so close to passing math

Answers

Answer:

225 miles per hour

Step-by-step explanation:

The first trip was 150 miles per hour and the second trip was 300 miles in only one hour. I added both of them and then divided by 2 to get the average.

use substitution X+y=11 -x=-y-9​

Answers

Answer:

-(_y)-11=-y-9

Y-11=-y-9

2y=2

Y=1

Randy purchases a cap for $12. The store charges him 7% sales tax on the purchase. How much sales tax will the store charge on the purchase?

Answers

$ 12.84 because first you want to convert the 7% into a decimal which is 0.07 and then multiply 12 x 0.07 = 0.84 then add 0.84 + 12 = 12.84

Answer:The answer is (D)

Step-by-step explanation:Just took he quiz

Only people who like gon and wants him can come here

Answers

Answer:

I like Gon and Ging and Killua.

Hunter x Hunter is the best

Step-by-step explanation:

maybe gon can beat me..

BUT CAN HE BEAT MR.SHARK

..I don't think so..

SMACK SMACK SMACK

help meeeee pleaseeeee:(

Answers

Answer:

1 to 100m..............

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