3x²-x+1 is a factor of ax⁴+bx³+12x² - 6x + 1 . Then a-b equals​

Answers

Answer 1

Answer:

a-b = 31     (a ≠ b)

Step-by-step explanation:

(3x²-x+1)(px²+qx+1) = ax⁴+bx³+12x² - 6x + 1

3px⁴+(3q-p)x³+(3+p-q)x²+(q-1)x+1 = ax⁴+bx³+12x² - 6x + 1

q-1 = -6             q = -5

3+p-q = 3+p-(-5) = 8+p = 12             p = 4

b = 3q-p = 3*(-5) - 4 = -19

a = 3p = 3*4 = 12

a-b = 12 - (-19) = 31


Related Questions

State the minimum monthly income and hourly wage per worker needed to cover monthly
expenses for the family you used in part a. Then, explain how to calculate the hourly wage
based on the monthly income and state the hourly wage. Assume that each full-time worker
works four 40-hour work weeks per month, and each part-time worker works two 40-hour
weeks per month. (10 points)

Answers

Answer:

https://brainly.com/question/14113265

Step-by-step explanation:

A community collage predicts that 2 out of 12 of the current students will become a nurses if that predicts is true how many students out of 1566 will be come nurses

Answers

I think the answer would be 130.5

help please for the answer ​

Answers

Step-by-step explanation:

3x+2x+10+2x+5+2x-15 = 360

9x+15-15=360

9x=360

x=40.

3x=3×40=120°2x+5=2×40+5=80+5=85°2x+10=2×40+10=80+10=90°2x-15=2×40-15=80-15=65°.

hope this helps you.

Answer:

2x° + 10° = 90°

3x° = 120°

2x° + 5° = 85°

2x° - 15° = 65°

Step-by-step explanation:

360° = 3x° + 2x° + 5° + 2x° + 10° + 2x° - 15°

360° = 3x° + 2x° + 2x° + 2x° + 5° + 10° - 15°

360° = 9x°

9x° = 360°

x° = 360° : 9

x° = 40°

2x° + 10°

= 2(40°) + 10°

= 80° + 10°

= 90°

3x°

= 3(40°)

= 120°

2x° + 5°

= 2(40°) + 5°

= 80° + 5°

= 85°

2x° - 15°

= 2(40°) - 15°

= 80° - 15°

= 65°

#LearnWithEXO

3[-2(8-13)] how to solve it

Answers

Answer:

3 times - 2,times 8-13

You solve the ones in the bracket first

(the rule of BODMAS)

So 8-13 first, then

-2times 8-13,then

Then you get your answer

What is the LCM? Please help asap!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

C.) [tex]e^3r^3t^3[/tex]

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Solve for d.

3 + d ≤ 3 - d

Answers

Answer:

[tex]3 + d \leqslant 3 - d \\ d + d \leqslant 3 - 3 \\ 2d \leqslant 0 \\ d \leqslant 0 \\ thank \: you[/tex]

1) Cancel 3 on both sides

d≤−d

2) Subtract -d from both sides.

d+d≤0

3) Simplify  d+d  to  2d.

2d≤0

4)  Divide both sides by 2.  

d≤0

perpendicular line for y=-3x+17 that passes through point (2,6)

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is y = - 1/3x + 6.6

how many days are there in a month od july

Answers

seriously? .... its 31 days

PLS HELP
WILL MARK BRAINLIEST

Answers

Answer:

1) (0,6)

2)(0,2)

3) (0,-3)

4) (0,0)

Step-by-step explanation:

Your Welcome

9 plus 6 divide by (8 - 2) PLEASE SHOW THE STEPS

Answers

9+6/(8-2) subtract

9+6/6 divide

9+1 add

10

4< -2x + 3 <9
Compound inequalities

Answers

Answer:

-3 < x < -1/2

Step-by-step explanation:

4<-2x+3<9

1<-2x<6

-1/2 > x > -3

so

-3 < x < -1/2

Expand the following

Answers

Answer:

There are multiple ways to expand but I did it by using sum/difference formulas.

3(x-2) = 3x-6

8(2x+2) = 16x+16

5(x-1) = 5x-5

2(6x+3y) = 12x+6y

Write an inequality represented by the graph

Answers

Answer:

x+y>=3

Step-by-step explanation:

values of x and y are all greater than or equal to 3

Your sister’s store is given a $200 loan to start off and makes $40 every week afterward. Find the minimum number of weeks it will take your sister to have a total profit of $100 after she has repaid the $200. Round your answer to the nearest whole week.

Answers

It will take 8 weeks for her to make 100$

Donna sells beaded necklaces. Each large necklace sells for $4.90 and each small necklace sells for $4.40 . How much will she earn from selling 1 large necklace and small necklaces?

Answers

Answer:

9.3$

Step-by-step explanation:

add 4.90 and 4.40 it gives 9.3$

Figure B is a scaled copy of Figure A

What is the scale factor from Figure A to Figure B?

Answers

Answer:

[tex]1/2[/tex]

Step-by-step explanation:

Because they are scaled copies, the ratios of the sides are equal.

Figure A has a base of 6 units by inspection.

Figure B has a base 3 units by inspection.

So, the scale factor from Figure A to Figure B is [tex]3/6=\boxed{1/2}[/tex] and we're done!

The scale factor from Figure A to Figure B is 1/2

What is the scale factor from Figure A to Figure B?

Figure A:

Base = 6 units

Height = 4 units

Figure B:

Base = 3 units

Heights = 2 units

Using Base of the shape:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

= 3 units / 6 units

= 1/2

Using Height of the shape:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

= 2 units / 4 units

= 1/2

Hence, 1/2 is the scale factor from Figure A to Figure B.

Read more on scale factor:

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What is the area of the rectangle?

A. 40 units

B. 45 units

C. 50 units

D. 55 units

Answers

Answer:

-5 x -5 = 25

7 x 5 = 28

28 + 25 = 53

53 + 2 = 55

D. 55

There it is my dear friend.

click on the attachment <3 answer, please and thank you (:​

Answers

Answer:

10

Step-by-step explanation:

x-7=?

x=17

17-7=10

7+10=17

17=17 Correct :)

1 3/8 x 3 =

3 2/8 x 3 =

Answers

Answer:

1. 4.125

2. 9.75

Step-by-step explanation:

helpppppppppppppppppppppppp

Answers

Answer:

The inequality is x/5 < 20, and 100 is in the box.

Step-by-step explanation:

x = the amount she spends in June.

So, since she spends an equal amount five times, the amount she spends each time is x/5.

She wants this to be less than 20.

So, x/5 < 20.

Solving for x by multiplying both sides of the equation by yields

x < 5 * 20

x < 100, so that 100 goes into the box.

I know it’s not 26 need help please

Answers

Answer:

x=11

Step-by-step explanation:

The angles are opposite interior angles and opposite interior angles are equal when the lines are parallel.

4x = 2x+22

Subtract 2x from each side

4x -2x = 2x+22-2x

2x = 22

Divide by 2

2x/2  =22/2

x = 11

which shows the correct way to convert 5 oz to pounds?​

Answers

Answer:

The second one.

Step-by-step explanation:

Yes it’s the second one

4. Identify the graph of the solution set of 9 > 3 + 2x.

Answers

Answer:

A

Step-by-step explanation:

9 > 3 + 2x

6 > 2x

3 > x

or

x < 3

and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.

The graph of the solution set [tex]9 > 3 + 2x[/tex]  is represented by the inequality relation x < 3.

The correct answer is Option A.

Given data:

The inequality is represented as 9 > 3 + 2x

The solution set of the inequality 9 > 3 + 2x can be found by isolating x on one side of the inequality:

Subtract 3 from both sides: 9 - 3 > 2x

Simplify: 6 > 2x

Divide both sides by 2: 3 > x

So, the solution set is x < 3.

Graphically, this represents all the values of x that are to the left of (less than) 3 on the number line. It forms an open interval to the left of 3. The graph consists of all real numbers less than 3, not including 3 itself. In interval notation, this can be written as (-∞, 3).

Hence, the inequality is x < 3.

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Reaserch how x ray technications use math in their careers

Answers

Answer:

X-ray technicians, also referred to as radiologic technologists, would need math skills to be able to use accurate calculations when mixing chemicals used in x-ray imaging processes. In addition to this, the critical and logical thinking abilities practiced in the study of mathematics are useful in the day to day job, especially because working with imaging technology and machines to get detailed images for physicians to view is crucial to patient care and treatment.

Education for an associate's degree in radiologic technology is going to be focused heavily on STEM related courses such as anatomy, radiation safety, imaging procedures, and pathology. For this reason, it is recommended that high school students planning on pursuing this educational path take plenty of classes in math, science, and technology.

Radiologic technology job opportunities are expected to increase by 9 percent between 2018 and 2028 according to the Bureau of Labor and Statistics. This is greater than the 5 percent average increase projected for all other jobs, which means radiological technology is a career with a strong and stable outlook.

Step-by-step explanation:

Carlos dropped the phone he had received for his birthday and broke the screen. He knows he has to pay for the replacement himself and does some research to find the lowest cost. He is trying to decide between two stores offering different deals on the same-priced phone. What rebate would Store A need to offer for the cost of the phone at each store to be same?


Store A should offer a rebate of $

Answers

Answer:

you would want B

Step-by-step explanation:

why because if you get a discount you would be able to have to not pay as much as if you dont get a discount.

what is the power of 10x10x10x10x10x10

Answers

Answer:

10 to the power of 6 = 10^6

Step-by-step explanation:

just count the number of times 10 is repeated

in this case 6 times

10^6

1,000,000

Or 10 to the 6th power

* you add the number of zeros and then put them behind the first number.

Which of the following is written correctly in scientific notation?
11.7 x 104
203 x 10-2
3x75
1.234 x 10-6

Answers

Answer:

it would have tobe the forst option but iy has to be written 11.7 × 10^4

Find the perimeter of triangle ABC

Answers

Answer:

20 units

Step-by-step explanation:

to solve this equation you need the pythagorean theorem: a^2 + b^2 = c^2

2^2 + 7^2 = 53; square root of 53 is 7.28010989; or about 7.3 units (line AC)

2^2 + 6^2 = 40; square root of 40 is 6.32455532; or about 6.3 units (line BC)

4^2 + 5^2 = 41; square root of 41 is 6.40312424; or about 6.4 units (line AB)

7.3 + 6.3 + 6.4 = 20

20 units

Please help I'll give the brainiest to the right answer!

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Because vertical angles are always equal, we want to solve [tex]50x+10=70x-10[/tex].

We can add 10 to both sides to get [tex]50x+20=70x[/tex].

We can subtract [tex]50x[/tex] from both sides to get [tex]20=20x[/tex].

Lastly, we divide both sides by 20 to get [tex]1=x[/tex].

So, [tex]\boxed{x=1}[/tex] and we're done!

The check is left as an exercise to the reader.

Answer:

x= 1

Step-by-step explanation:

TO solve you can use the equation 50x+10=70x-10.

First, subtract 10 from both sides:

50x= 70x-20

Then subtract 70x from both sides:

-20x=-20

Then divide by -20:

x=1

Check your work:

50(1)+10=70(1)-10

50+10=70-10

60=60

Hope this helps!

1. Determine el valor de W en las proporciones siguientes:
a) (12/w) = (4/3); w =

Answers

Aplicando multiplicación cruzada, tiene-se que el valor de w es w = 9.

Cuando una proporción es dada, con una igualdade de duas proporciones, puede-se aplicar multiplicación cruzada entre ellas.

En este problema, la ecuación que relaciona las proporciones es dada por:

[tex]\frac{12}{w} = \frac{4}{3}[/tex]

Aplicando multiplicación cruzada:

[tex]4w = 12(3)[/tex]

[tex]4w = 36[/tex]

[tex]w = \frac{36}{4}[/tex]

[tex]w = 9[/tex]

El valor de w es w = 9.

Un problema similar es dado en https://brainly.com/question/24615636

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