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

suppose denzel's score is 25, give one score that could possibly be bianca's score in the test​

Answers

Answer:

3

Step-by-step explanation:

First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlines own?

(Answer is ratio or proportion)

Answers

Answer:

250÷ 40 = 6.25

6.25 x 15 = 94


If you could help with a few questions that what be lit (giving best answers brainliest)

Answers

Answer:

send your # and ill help you over call

Given f(x)=3x/x+2, evaluate.
f(-3)= ? explain..

I will give Brainliest!

Answers

Answer:

9

Step-by-step explanation:

Plug the -3 value into the equation.

3( -3 ) / -3 + 2

-9 / -1

negative divided by a negative gives a positive result

9

Use the equation below to find F, if =m5 and =a19.
=Fma


=F

Answers

F = ma
F = (5)(19)
F = 95

209
У.
Х
120°
y = [ ? 1°

Answers

Answer:

140

Step-by-step explanation:

one exterior = the sum of two interior

Need help ASAP! Directions in picture ;)

Answers

Answer:

x=5

Step-by-step explanation:

Find the degree of the monomial.
7a765

Answers

Answer: 1^ degree

Step-by-step explanation: because A is raised to 1 and being the only literal part the degree is one

The highest common factor (HCF) of two numbers is 6.
The lowest common multiple (LCM) of the same numbers is 60

What are the two numbers?
Please explain every step

Answers

Answer:

12 and 30

Step-by-step explanation:

HCF = 6 = 2×3 means they both have in common a factor of 2 and a factor of 3, but at least one of the numbers has no more than one of each of these factors.

LCM= 60=2²×3×5 means That the combined product of their factors counting only once the ones they have in common is 60.

so they could be 2×2×3 = 12 and 2×3×5 = 30

the diffrence between 4 and 1 on number line

Answers

Answer:

What is 3

Step-by-step explanation:

4 - 1 = 3.

WILL MARK BRAINLIEST, NO FAKE ANSWERS
Design 2 rectangular pizzas both with an area of 64 square inches but with different perimeters

Answers

Answer:

rectangle one:

height = 2

width = 32

rectangle 2 :

height = 4

width = 16

Step-by-step explanation:

If you like squid game, trust me :) lol

Evaluate lc^2 + b²1, given a = 5. b= -3, and c= -2.

Options
13
6
2
10​

Answers

Answer:

The choice 13

Step-by-step explanation:

[tex]| {c}^{2} + {b}^{2} | \\ | {( - 2)}^{2} + {( - 3)}^{2} | \\ |4 + 9| = 13[/tex]

I hope I helped you^_^

The admission fee at an amusement park is $15.50 for children and $20.00 for adults. One day 217 people entered the park and the total admissions fees collected was $3.782
Define your variables as
"C" = # of children
"a" = # of adults
Write a system of equations to represent this information solve the system to find out how many children and how many adults came to the amusement park that day.

Answers

Answer:

Children = 124

Adults = 93

Step-by-step explanation:

x = children

y = adults

x + y = 217

x = 217 - y

15.50x + 20y = 3782

15.50 (217-y) + 20y = 3782

3363.50 - 15.50y + 20y = 3782

4.5y = 3782 - 3363:50

y = 418.50/4.5

y = 93

x + 93 = 217

x = 217 - 93

x = 124

it takes a snail 10 seconds to move 1 centimeter. How far does snail travel in 2 seconds

Answers

Answer:

0.2

Step-by-step explanation:

If it takes 10 seconds to move 1 centimetres, and you want to know about 2 seconds, you can divide by 5 on both sides.

1/5 = 0.20

It takes 2 seconds to move 0.2 centimetres (aka 20 milimetres).

The snail will travel 0.2 centimetre in 2 seconds.

it takes the snail 10 seconds to move 1 centimetre. The means in every 10 seconds the snail moves 1 centimetre.

The distance the snail can cover in 2 seconds can be computed below:

10 seconds = 1 cm

2 seconds = ? cm

cross multiply

distance it takes the snail to travel in 2 seconds = 2 / 10

distance it takes the snail to travel in 2 seconds = 1 / 5

distance it takes the snail to travel in 2 seconds = 0.2 cm

Therefore, the snail will travel  0.2 cm in 2 seconds .

read more: https://brainly.com/question/25492566?referrer=searchResults

Use the Distributive Property to write an equivalent expression for 21x+7

Answers

Answer: 7(3x+1)

Step-by-step explanation:

there is a common factor of 7 in both 21 and 7. therefore you can take a 7 out of the equation to get 7(3x+1)

extra: 7 times 3x = 21x and 7 times 1 = 7. this is how you verify your answer is correct.

Which one is the correct answer to this

Answers

The correct answer I believe would be d

Answer:

C (i think)

Step-by-step explanation  

i did the math in my head sorry if it is wrong but i am pretty sure it's C

Write an equation in Slope-Intercept Form using the table below. ​

Answers

Answer:

y = x + 46

Step-by-step explanation:

When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, choose two pairs of coordinates to use for solving the slope of the line:

Let (x1, y1) = (0, 46)

(x2, y2) =  (1, 47)

User the following formula for slope

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Plug in the values of the coordinates into the formula:[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{47 - 46}{1 - 0} = \frac{1}{1} = 1[/tex]

Therefore, the slope (m) = 1.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.

Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:

y = x + 46

Please mark my answers as the Brainliest if you find my explanations helpful :)

The local community center hosted a marathon as a fundraiser. Runner A completed the marathon with a time of 4.37 hours. Runner B completed the marathon in 4.29 hours. Which runner completed the race faster (by having a lower time)? Explain how you know. (100 points + brainliest)

Answers

Based on the information given in the question, the completion time of runner B is lower than that of Runner A ; Hence, runner B completed the race faster.

Given the running time of two runners :

Runner A = 4.37

Runner B = 4.29

The runner with the lesser running time will complete the marathon faster as this means he has a higher speed.

Comparing the running times of both runners :

4.37 > 4.29

Therefore, Runner B completed the race faster than runner A.

Learn more : https://brainly.com/question/18796573

x+2x+x+x+x+x= ​ ????

Answers

Answer:

7x

Step-by-step explanation:

x +2x + x + x + x + x

= x + x + x + x + x + 2x

= 5x + 2x

= 7x

What is the equation of this line?
A.y=-2x
B.y=1/2x
C.y=1/2x
D.y=2x

Answers

Answer:

D. y = 2x

Step-by-step explanation:

The slope of the line is 2, so you get 2x. Therefore, the equation is y = 2x.

Answer:

the equation is answer D

Step-by-step explanation:

the slope is 2 and the y-intercept (b) is zero so it isn't written.

Can someone please do this for me I am confused

Answers

Answer:

Where's the question???????

Can anyone help me about question 2

Answers

9514 1404 393

Answer:

  3(4/3)^2543

Step-by-step explanation:

Using logarithms base 2, we have ...

  [tex](a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}[/tex]

That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...

  [tex]\log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}[/tex]

and the 2544th term is ...

  [tex]\boxed{\log_2{a_{2544}}=3\left(\dfrac{4}{3}\right)^{2543}}[/tex]

mr Andrew bought 4 boxes of crayons at the store to share with his students. Each box contained a total of 64 crayons. What is the total number of crayons me Andrew bought at the store?

Answers

256. multiply 4 by 64

what does this q equal

Answers

Answer:

30 degrees

Step-by-step explanation:

Since all triangles' angles add up to 180 degrees, you can add the sum of the angles you already know and subtract it from 180.

126+24=150

180-150=30

so angle Q = 30 degrees

the answer to your question, the Q equals 30 degrees.

which polynomial represents the difference below 5x^2 + 9x + 3
- (6x^2 - 3x)
-------------------------

Answers

Answer:

-x^2+12x+3

Step-by-step explanation:

remove parenthesis

collect the terms

and simplify

Need help asap due tmr !!!

Answers

here! not sure if it's right but i'm pretty confident. boom

Answer:

Inequality: 6 ≤ n+15

Solution: -9≤n

x−14=−34
what does x equal.

Answers

Answer:

x = -20

Step-by-step explanation:

Add 14 to both sides to isolate the x:

x - 14 + 14 = -34 + 14

x = -20

Hope this helps!

Step-by-step explanation:

hope it helps!!!!!!!!!

The library of congress in Washington DC is considered the larger library in the world. They often receive boxes of books to be added to their collection. Since books can be quite heavy, they aren’t shipped in big boxes. If, on average each box contains about 8 books how many books are received by the library in 6 boxes, 10 boxes or n boxes

Answers

Answer:

6 boxes have 48 books

10 boxes have 80 books

n boxes have n×8 books

Step-by-step explanation:

if one box has 8 books then n no.of boxes will have n × 8 no.of books

what is the image of the point (0,-1) after a rotation of 180° counterclockwise​

Answers

(0,1) the rule is (-x,-y) so just plug it in

Find the equation of the line which passes through the point A(2,1) and is parallel to the line 2x + 3y = 5

Answers

Answer: Find the slope of the original line and use the point-slope formula Y - Y^1 = M (X - X^1) to find the line parallel to 2 x + 3y =5

Step-by-step explanation:

Y= -2/3 x + 7/5

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