What should be true about the divisor (the number you are dividing by) in order for synthetic division to be
pretty straightforward?

Answers

Answer 1

Answer:

In order for synthetic division to be pretty straightforward, the divisor must be of the first degree (that is, the power of x must be exactly one.) and must have the binomial form x - a.

Unlike Long Division which makes use of the polynomials given directly, Synthetic Division makes use of the coefficients of this polynomials.


Related Questions

Find the volume of the cone.round to the nearest tenth. Height: 10 radius:2

Answers

Answer:

41.9 units³

Step-by-step explanation:

(please see attached for reference)

The volume of a cone is given by:

V = (1/3) πr²h    where,

V = volume (we are asked to find this)

π = 3.142

r = radius = given as 2

h = height = given as 10

Substituting the known values into the above equation,

V = (1/3) πr²h

= (1/3) (3.142) (2²)(10)

= 41.893

= 41.9 units³  (nearest tenth)

5 time 123456789101098765432110123456789

Answers

123456789101098765432110123456789

123456789101098765432110123456789

123456789101098765432110123456789

123456789101098765432110123456789

123456789101098765432110123456789

I did it five times.

You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of 20 inches and a height of 15 inches. Find the volume of this container to the nearest cubic unit. Use a calculator.

Answers

Answer:

area of a cylinder=[tex]\pi[/tex]r²h

Step-by-step explanation

[tex]\pi[/tex]*100*15=1570.79632679 cubic inch

hope this helps

plzz mark me brainliest

DAY 27, MAY 7, 2020
If 5x + 6 = 10, what is the value of 10x + 3 ?
А) 4
В) 9
C) 11
D) 20
ОА
Ов

Answers

If I’m not mistaken, the answer is C.

Answer:

The answer is C.

Step-by-step explanation:

In order to find the value of expression, you first have to solve x by substracting 6 to both sides then divide it by 5 :

[tex]5x + 6 = 10[/tex]

[tex]5x + 6 - 6 = 10 - 6[/tex]

[tex]5x = 4[/tex]

[tex]5x \div 5 = 4 \div 5[/tex]

[tex]x = \frac{4}{5} [/tex]

Next, you have to substitute the value of x into the expression :

[tex]let \: x = \frac{4}{5} [/tex]

[tex]10x + 3[/tex]

[tex] = 10( \frac{4}{5} ) + 3[/tex]

[tex] = 8 + 3[/tex]

[tex] = 11[/tex]

what is the x value of the vertex called

Answers

Answer:

The vertex form of a quadratic is given by

y = a(x – h)^2 + k, where (h, k) is the vertex. h may act as "x" in this case.

Step-by-step explanation:

The vertex form of a quadratic is given by

y = a(x – h)^2 + k, where (h, k) is the vertex.

You must simply get an equation in this format to find h and k.

The x value of the vertex in a parabola is found using the formula -b/(2a), which represents the x-coordinate of the vertex, a critical point that determines the parabola's maximum or minimum value.

The x value of the vertex in a parabola is a critical point that determines the maximum or minimum of the quadratic function. In a quadratic equation of the form f(x) = ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula -b/(2a). This formula is derived from completing the square or using calculus to find the critical points of the function. Once you determine the x-coordinate of the vertex, you can substitute it back into the original equation to find the corresponding y-coordinate, giving you the full coordinates of the vertex of the parabola.

Someone help meeee soon first to answer will be marked brainliest

Answers

Answer:

I think the answer is 1/4

Step-by-step explanation:

Because you use the rise over run method to find slope.

4x - 7 = 9
The answers are
X=2
X=4
X=16
No solution

Answers

Answer:

x=4

Step-by-step explanation:Trust me

4x-7=9

4x-7+7=9+7

4x=16

4x/4 = 16/4

X=4

Answer: x = 4

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 4x.

To isolate 4x, we have to get rid of the -7 by adding

7 to both sides of the equation.

That leaves us with 4x = 16.

Now divide both sides by 4 to find that x = 4.

PLS HELP WILL MARK BRAINLIEST 20PTS

Answers

Answer:

8(59 1/4 x 1) -58 = 100

Step-by-step explanation:

This would simplify to x = -2 1/10  or x = 50/237

As 100/474 = -2 1/10 or -50/237

We balance the 8. then we balance the 50ml so that 100/424 = -25/106 = -2  4/10 so we see that 50ml minimum in the problem is required and this creates a 1/8 increase with each pump.

Proof is the difference of -2 1/10 to -2 4/10 = 1/8 increase in the resulting division of 474ml divided by 8ml

pls help... Find the area of the following circle ​

Answers

Answer:

=94.985m²

Step-by-step explanation:

Area = πr²

π=3.14

r=5.5

-

  Find the radius,

         11/2=r

          r=5.5

-

Area=

3.14x 5.5x 5.5

3.14x30.25

=94.985m²

Which events are mutually exclusive ? Choose all that apply

Answers

The events that are mutually exclusive are Landing on a shaded sector and landing on the number three and Landing on an unshaded sector and landing on a number less than 2.

Mutually exclusive means that a combination of occurrences can never occur.

a) landing on a number greater than three while in a shaded area:

This is possible; for example, you could land in the 4.

b) landing in an even number on a dark sector.

Again, sector 4 is an even number and a shaded sector, thus these events do not conflict.

c) uncolored and odd number

This event is not mutually exclusive because you can land in the 3, which is unshaded and an odd number.

d) Landing on a shaded sector and landing on the number three

Because 3 is an unshaded sector, you can never land in 3 and a shaded sector at the same time; the two are mutually exclusive.

e) Landing on an unshaded sector with a number less than two.

Because 1 is the only integer smaller than 2, and sector 1 is darkened, these events are mutually exclusive.

brainliest 1-10 pick a number and u win

Answers

Answer:

5

Step-by-step explanation:

The Unique Glass Company reported sales of $24 million in 1995, and sales increased by 15% each year for the next 10 years.
Write the rule (formula) to determine the company's sales (in $ million) in each year since 1995. (Hint: Let n = 1 represent 1995).

Answers

Answer:

n + 1 = 24 million x 1.15

Step-by-step explanation:

The sales is increased 15 percent, so every year 24million is multiplyed with 1.15 to get the result... so yea

Question 2

Calculate the company’s sales in the year 2003.

Explanation: The formula to calculate sales in the nth year is an=24(1.15)n-1

2003 is the 8th year (i.e., n = 8), so:

a8=24(1.15)7

a8=63.84

Answer: Sales in 2003 were $63.84 million.

This is the answer on Edmentum I swear!

Which point is located at (4, –2)?

Answers

Answer:

B

Step-by-step explanation:

First you would look at the x coordinate which is 4. So on the x-axis you would find four. Next you would look at the y coordinate which is -2. Then you go on the y-axis and find -2. Finally, you would go to 4 on x-axis and go DOWN (since it is negative) 2 spots.

B point is located at (4, –2)

What is coordinate geometry?

Coordinate geometry (or analytic geometry) is defined as the study of geometry using coordinate points. the usage of coordinate geometry, it is possible to find the distance between two points, divide lines in the m:n ratio, find the mid-point of a line, calculate the area of a triangle within the Cartesian plane, and so on.

Coordinate geometry is needed to provide a connection between algebra and geometry by using graphs of lines and curves. it is an important department of math and usually assists us in locating points in a plane. furthermore, it also has many uses in the fields of trigonometry, calculus, dimensional geometry, and greater.

Learn more about coordinate geometry here

https://brainly.com/question/18269861

#SPJ2

What value of x will make the equation true?
(√15)(√15)=x

Answers

Answer:

[tex](\sqrt{15} )(\sqrt{15})=15[/tex]

Step-by-step explanation:

[tex](\sqrt{15} )(\sqrt{15})=15[/tex]

[tex]\sqrt{15} =3.87298334621\\\\(3.87298334621)*(3.87298334621)=15\\[/tex]

Bob's Bakery makes 12 cakes and 36 muffins each hour.

Part A: Create a table to show how many caked and muffins in ll the bakery has made after each hour. Use the rules "add 12" and " add 36"

Part B: Michael says. "The total number of muffins made is ALWAYS 24 more than the total number of cakes made. " Do you agree?

Part C: Michael wants to graph this information. What ordered pair represents the total number of each item make after 6 hours.

Please answer Part A, B and C. Thank you

Answers

the answer is B hope it helped

solve −0.2x+1.2<1.1 pls

Answers

Answer:

x > 1/2

Step-by-step explanation:

Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Time (month) Weight (lb)
2 __
__ 20
6 __
10 50

Answers

2, 4, 6, 10
10, 20, 30, 50

To complete the table of equivalent ratios, we established a simplified ratio of 1 month to 5 lb from the given information, then we used this to calculate the missing values: in 2 months the weight is 10 lb, corresponding to 20 lb there are 4 months, and in 6 months the weight is 30 lb.

To find the missing numbers in the table of equivalent ratios, we need to look for a pattern or use cross-multiplication. We can see from the given information that in 10 months the weight is 50 lb. Using this information, we can set up a ratio comparing time to weight. Let's fill out the table with the equivalent ratios.

Step-by-step Calculation

Take the given ratio of 10 months to 50 lb. This can be simplified to 1 month to 5 lb.

Now that we have the basic ratio, we can find the missing values. For 2 months, we multiply 2 by 5 lb, giving us 10 lb for the first missing number.

To find the time that corresponds to 20 lb, we take 20 lb and divide it by 5 lb/month, giving us 4 months for the second missing number.

For 6 months, we multiply 6 by 5 lb, which gives us 30 lb for the third missing number.

Now we can fill in the table:

Time (month): 2, Weight (lb): 10

Time (month): 4, Weight (lb): 20

Time (month): 6, Weight (lb): 30

Time (month): 10, Weight (lb): 50

Help me with this math problem please.

Answers

Answer: 18ft

Step-by-step explanation:

A food company packs 64 cans of peaches into a box.
The company has 640 cans to box. If they sell a full box
for $32, how much money will the food company make
on these boxes?

Answers

Answer:

$320.00

Step-by-step explanation:

640÷64=10

32×10=$320.00

Answer Three of these question and you will be the brainliest. Answer this with solution please

1) Which comparison is correct?

|5| > 7
7 < |7|
|-3| > |-4|
-5 < -4

2) In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an inequality statement comparing the numbers, using the symbol > or <.

-13, -10

3) Which inequality statement is true?

3/4 > 0.80
0.50 >
3/4 < 0.80
7/15 > 0.50

Answers

Answer:

1.  -5<-4

2. -13<-10 ( On horizonal x-axis -13 is on the left of -10)

3. 3/4<0.8

PLZZZZ HELP!!!
Bill is playing a game of chance with the following payout. 30% of the time you will lose 20 dollars, 20% of the time you lose 40 dollars, 10% of the time you win 50 dollars, 40% of the time you win 5 dollars. Find the expected value of the event and explain if Bill should play this game based on the mathematical expectation.

Answers

Answer:

Expected Value= -$7Bill should not play the game

Step-by-step explanation:

In the game, these are the payout:

30% of the time you will lose 20 dollars.20% of the time you lose 40 dollars.10% of the time you win 50 dollars40% of the time you win 5 dollars.

To compute the expected value, take note that a loss is negative while a win is positive.

[tex]E(X)=\sum_{i=1}x_1P(x_1)[/tex]

Therefore:

E(X)=(-20*0.3)+(-40*0.2)+(50*0.1)+(5*0.4)

E(X)=-7

The expected value of the event is -$7.Based on the negative expectation, Bill should not play this game as he is expected to incur a loss.

What is the ratio of the volume of the cone to the volume of the square pyramid?

Answers

Answer:

The ratio of the volume of cone to square pyramid is π or 3.14

Step-by-step explanation:

Given

Shapes: Cone and Square Pyramid

Diameter of the cone, d = 10 inches

Height of the cone, h = 12 inches

Height of the pyramid, h = 12 inches

Base edge of the pyramid, a = 5 inches

Required:

Ratio of the volume of cone to square pyramid.

First, we calculate the volume of each shapes

Volume of a cone is calculated as follows;

Volume = ⅓πr²h

Where r = radius = ½d

Recall that d = 10 inches

So, r = ½ * 10 inches

r = 5 inches.

Hence,

Volume = ⅓ * π * 5² * 12

Volume = ⅓ * π * 25 * 12

Volunteer = π * 25 * 4

Volume = 100π in³

Calculating Volume of the pyramid.

Volume = ⅓a²h

Recall that a = 5 and h = 12

So, Volume = ⅓ * 5² * 12

Volume = ⅓ * 25 * 12

Volume = 25 * 4

Volume = 100 in³

Now that both volumes have been calculated.

The ratio of the volume of cone to square pyramid is calculated by dividing the volume of the cone by the volume of the square pyramid.

Ratio = 100π ÷ 100

Ratio = π

Taking π as 3.14

Ratio = 3.14

Hence, the ratio of the volume of cone to square pyramid is π or 3.14


PLEASE NOTE: All questions below use the same scenario. You must convert the months to years. A certain college that four students want to attend charges of $8,008 for tuition and fees each year. Room and housing are an additional $8,392 per year. Calculate how much money each student and family will need to save for the first year of college.

1. How much money will the student and family below need to save for the first year of college?

Scholarship - $1,000

Grant - $1,000

Student Loan - $4,500

Months - 42


a. $16,400

b. $6,500

c. $2,828.57

d. $235.71

2. How much money will the student and family below need to save for the first year of college?

Scholarship - $6,000

Grant - $500

Student Loan - $4,500

Months - 24


a. $2,700

b. $16,400

c. $11,000

d. $225.00

3. How much money will the student and family below need to save for the first year of college?

Scholarship - $10,000

Grant - $2,000

Student Loan - $0

Months - 18


a. $16,400

b. $4,400

c. $244.44

d. $2,933.33

4. How much money will the student and family below need to save for the first year of college?

Scholarship - $3,000

Grant - $2,000

Student Loan - $4,500

Months - 39


a. $6,900

b. $176.92

c. $2,123.08

d. $16,400

Answers

Answer:

1.) C

2.) A

3.) D

4.) C

Step-by-step explanation: Given that the

$8,008 for tuition and fees each year.

Room and housing are an additional $8,392 per year.

Total = 8008 + 8392 = $16400

1.) Scholarship - $1,000

Grant - $1,000

Student Loan - $4,500

Months - 42

Yearly = 42/12 = 3.5 years

Total support = 1000 + 1000 + 4500

= $6500

Savings = 16400 - 6500 = 9900

First year savings = 9900/3.5

= 2828.57 dollars

2. Scholarship - $6,000

Grant - $500

Student Loan - $4,500

Months - 24

Yearly = 24/12 = 2

Support = 4500 + 6000 + 500

= $11000

Savings = 16400 - 11000

= 5400 dollars

First year savings = 5400/2

= 2700 dollars

3.) Scholarship - $10,000

Grant - $2,000

Student Loan - $0

Months - 18

Yearly = 18/12 = 1.5

Support = 10000 + 2000 = $12000

Savings = 16400 - 12000

= 14400 dollars

First year savings = 4400/1.5

= 2933.33 dollars

4.) Scholarship - $3,000

Grant - $2,000

Student Loan - $4,500

Months - 39

Yearly = 39/12 = 3.25

Support = 3000 + 2000 + 4500

= 9500 dollars

Savings = 16400 - 9500 = $6900

First year savings = 6900/3.25

= $2123.08

Ettiene solved a quadratic equation. His work is shown below.

In which step did Ettiene make an error?

Answers

The Step 2 shows the mistake done by Ettiene.

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

The given equation is x(x+4)=117.

Step1:  x²+4x=117

Now, b/2 =4/2 =2

Then, add 2² to both the sides of an equation, we get

x²+4x+2²=117+2²

x²+4x+4=117+4

(x+2)²=121

x+2=±√121

x+2=±11

x=±11-2

x=11-2=9 and x=-11-2=-13

learn more about quadratic equation here:

brainly.com/question/18305483.

#SPJ5

The steps were unclear on how to solve, help?

Answers

Answer:

2x -y = 13

Step-by-step explanation:

y+3= 2(x-5)

Distribute

y+3 = 2x-10

Subtract 2x from each side

-2x +y+3 = 2x-2x-10

-2x +y +3 = -10

Subtract 3 from each side

-2x+y+3-3 = -10-3

-2x+y = -13

Multiply each side by -1 since A should be positive

2x -y = 13

Your answer would be -2x + y = -13
We can find this by expanding the brackets on the right hand side and then rearranging so that the x and y terms are on the left and all the numbers are on the right:
y + 3 = 2(x - 5)
y + 3 = 2x - 10
- 2x
y + 3 - 2x = -10
- 3
y - 2x = -13

And this is your final answer. I hope this helps!

What is the next fraction in this sequence? Simplify your answer.

Answers

Answer:

6/32 or 3/16 will be the next fraction in the sequence

What is the solution to the system of equations below?
y=-3x+3 and y=-12
(20, -12)
(12, -12)
(-6, -12)
(-12, 12)

Answers

Answer:

  (5, -12)

Step-by-step explanation:

Put -12 in the equation for y and solve for x:

  -12 = -3x +3

  4 = x -1 . . . . . . . . divide by -3

  5 = x . . . . . . . . .  add 1

The solution to the system shown here is ...

  (x, y) = (5, -12)

__

This is confirmed by a graphing calculator.

__

None of the offered answer choices is correct.

3(s+100)/4 solve for s

Answers

Answer:

-100

Step-by-step explanation:

If you want to solve for s make the equation= 0

3(s+100)/4 = 0

How do we calculate slope?

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .

Step-by-step explanation:

⋆✨Answered By Cartier✨⋆

✨Brainliest Will Be Appreciated.✨

✨If You Have Questions Ask In The Comment Box.✨

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .

Step-by-step explanation:

Which is an equation of an asymptote of the hyperbola?
A) y=-3x+8
B) y=3X+10
C) y=-1/3x
D) y=1/3x+2

Answers

The answer would be B. 3x + 10
Other Questions
There is a 3 percent error rate at a specific point in a production process. If an inspector is placed at this point, all the errors can be detected and eliminated. However, the inspector is paid $8 per hour and can inspect units in the process at the rate of 30 per hour. If no inspector is used and defects are allowed to pass this point, there is a cost of $10 per unit to correct the defect later on. Should an inspector be hired? What is the correct definition of a police jury?A: a parish governing body that carries out executive and legislative dutiesB: a law enforcement unit that provides a verdict in a civil or criminal caseC: an agency that oversees the conduct of law enforcement personnelD: a parish court system that administers justice and interprets the law Solve the equation:3c=123c=12 The frequency of a tornado siren is 1,000 Hz. If a cyclist is moving toward the siren at 10 m/s in 15 C air, which has a speed of sound of 340 m/s, what is the frequency that the cyclist observes? Help meee !!!!!Brainliest!!! i've never been able to answer this and i don't know if i worded this right but i hope you understand...Theres a hummingbird hovering in a closed box, if the boxs elevation jolts slightly, will the elevation of the bird inside it change too?(this has to do with like air molecules and how they react with the bird wings other molecules) : In some breeds of dogs, black (B) is the result of the production of black eumelanin ( a fur pigment protein) and it is dominant over brown (b) or the production of brown eumelanin. If we cross a true breeding male black dog with a female brown dog, what are the phenotypes and genotypes of the F1 and F2? In order to solve the problem, follow the steps below while answering the questions. Which sentence shows correct capitalization? A.Although president Roosevelt was by no means the only president to have taken an interest in social justice issues, Roosevelt was one of the few to have made it a central focus of his presidency. B.Sir Henry the Wonder dog, my basset hound, had snuck out from under the back fence again to join the dogs next door. C.We heard Governor Smith say that, although she did not want to weigh into such a controversial issue, other Governors had urged her to share her thoughts. D.Of all my aunts, it was Aunt Marge who really encouraged my interest in painting. A cylinder has a base diameter of 10m and a height of 14m. What is its volume in cubic m, to the nearest tenths place? What were key turning points of Ww2? 20 POINTS!!!! PLZ HELP WILL MARK BRAINLEST 20 POINTS!!!! A ball is tossed up in the air. At its peak, it stops before beginning to fall. The ball at its peak haskinetic energy onlylight4:07potential energy only.Toolsboth kinetic and potential energy.D)neither kinetic or potential energy. Which of the following equations has only one solution?x2 - 8x + 16 = 0x(x - 1) = 8x2 = 16 Humus creates good soil tilth, which is an indirect benefit of microorganism action.Please select the best answer from the choices providedOTOF The Midwest and the Great Plains in the United States are known for which natural resource?A)agricultureB)drillingC)forestryD)mining In addition to displacing halide ions, the acetylide ion also adds to carbonyl groups. 2-Methyl-3-butyn-2-ol (MBI) is an acetylenic alcohol used in the manufacture of products for the agrochemical and specialty chemical industry. It can be synthesized by the addition of acetylene to acetone to form the alkoxide ion and, as a second step, protonation of the alkoxide ion to produce the alcohol. Complete the mechanism for 2-methyl-3-butyn-2-ol production by drawing in the products of each step and the missing curved arrows. Sodium amide deprotonates the terminal alkyne to form sodium ethynide. Draw all missing reactants and/or products in the appropriate boxes by placing atoms on the canvas and connecting them with bonds. Add charges where needed. Electron flow arrows should start on an atom or a bond and should end on an atom, bond, or location where a new bond should be create how to change the format of the equation y-5=x who is cm punk married 2? After WWII Argentinas leadership alternates between periods of military and civilian governments True or False PLEASE HELP I WILL GIVE YOU ALOT OF POINTS AND RANK AND BRAINLIEST.What was the social order, from most to least powerful, in Europe during the late Middle Ages?A. monarch; nobles; knights; peasantsB. monarch; knights; nobles; peasantsC. monarch; nobles; peasants; knightsD. nobles; monarch; knights; peasants