If a,b,c,d, and e are non negative such that x^6-289x^4-x^2+289=(x-a)(x+b)(x_c)(x+d)(x^2+ex+1), what is the value of a+b+c+d+e?

Answers

Answer 1

Answer:

36

Step-by-step explanation:

Hello,

If [tex]X=x^2[/tex] it becomes

[tex]X^3-289X^2-X+289=(X^2-1)(X-289)[/tex]

and [tex]289=17^2[/tex]

[tex]X^2-1=(X-1)(X+1)=(x^2-1)(x^2+1)=(x+1)(x-1)(x^2+1) \\\\x^2-289=x^2-17^2=(x-17)(x+17)[/tex]

So,

[tex]x^6-289x^4-x^2+289=(x^2-1)(x^2+1)(x^2-289)=(x-1)(x+1)(x+17)(x-17)(x^2+1)[/tex]

a = 1

b = 1

c = 17

d = 17

e = 0

Then a + b + c + d + e = 36

Thanks


Related Questions

Which fractions have a decimal equivalent that is a repeating decimal 13 65, 141-47, 11-12 or 19-3

Answers

Answer:

Step-by-step explanation:

If you convert 13/65 to a decimal its 0.2, thats not repeating, if u convert 141/47 to a decimal its 3, so thats not repeating. If you convert 11/12 to a dec. its repeating 0.9166666666667 so yes its repetitive and 19/3 converted to a decimal is 6.333333333 its repetitive. 11/2 and 19/3 are the answers. Woohoo

Fractions 11 / 12 and 19 / 3 have the decimal equivalent which is a repeating decimal.

Given that,
Fraction, 13 / 65, 141 / 47, 11 / 12 or 19 / 3 are given.
We have to determine that fractions have a decimal equivalent that is a repeating decimal.

What is a recurring decimal?

Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Here,

13/65 = 0.2
141 / 47 = 3
11/ 12 = 0.9166666666......
19/3 = 6.333333333
So, from the above calculation, 11 / 12 and 19 / 3 have the repeating decimal.

Thus, Fractions 11 / 12 and 19 / 3 have the decimal equivalent which is a repeating decimal.



More information about recurring decimal check it out here:

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Help please it’s urgent

Answers

Answer:

D

Step-by-step explanation:

We can use d to find out how much x equals which therefore would solve the rest of the equation. We also know that half of a parallelogram= 180 degrees so we know that it wouldn't be c and it wouldn't be any of the others either.

Hope this helps!

The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no college degree is 9.7 % while the unemployment rate for college graduates with a bachelor’s degree is only 5.2 %. Find the difference in proportions of those unemployed between these two groups and give the correct notation for the difference, with a minus sign. Since the data come from the census, you can assume that the values are from a population rather than a sample. Use the correct notation for population proportions and use subscripts on the proportions to identify the two groups. Assume high school graduates with no college degree are group 1 and college graduates with a bachelor's degree are group 2. 1Thompson, D., ‘‘What’s More Expensive than College?

Answers

Answer:

The difference is [tex]p= 0.045[/tex]

Step-by-step explanation:

From the question we are told that

The proportion unemployment rate for high graduated is [tex] p_1 = 0.097[/tex]

The proportion unemployment rate for college graduate is [tex] p_2 = 0.052[/tex]

Generally the difference in proportions of those unemployed between these two groups is mathematically represented as

[tex]p= p_1 - p_2[/tex]

=> [tex]p= 0.097- 0.052[/tex]

=> [tex]p= 0.045[/tex]

Chapter 1 MathXL: Mid-Chapter Practice and Review
1.1.9
Translate to an algebraic expression.
25 more than t
The translation is

Answers

Answer:

25>t

Step-by-step explanation:

25 is more than t

if it is more than that means 25 is greater so "Pacman"would would eat the bigger number

Answer:

lol

riajgeripaeohnpoaetnhaethaehte

Step-by-step explanation:

Hello, can anyone please help me with this question. I need to get at least these last two questions right so please I would really appreciate this correct answer! Thang you.

Answers

Answer:

B (same slope, lower starting point)

Step-by-step explanation:

The slope on this graph is 5, and the slope of y=5x+5 is 5, so the slopes are the same.

This graph has a y-intercept of -6, which is lower than y=5x+5's intercept of 5, so it starts lower, so B.

A SURVEY OF 1,000 PEOPLE WAS DONE BY NEW YORK TIMES. 90% OF THE PEOPLE
DID NOT KNOW THE NAME OF THEIR REPRESENTATIVE IN CONGRESS. HOW MANY
OF THE 1,000 PEOPLE KNEW THE NAME OF THE CONGRESSMAN?
Step by step explains I need to show my work !

Answers

Answer:

100 people

Step-by-step explanation:

first we gotta find 90% of 1000 to do that we multiply 1,000×90% or 1000×0.90 (same thing)

this equals 900 so 900 people don't know the name of their rep in congress subtract 1000-900 thus 100 ppl know there rep in congress

Answer:

100 people did know they're representative

Step-by-step explanation:

You just have to scale up the problem for example 10% of 100 is 10 but 10% of 1,000 is 100(If you need me to be more clear please let me know)

How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 4 1/2

Answers

Answer: 50 mins?

Step-by-step explanation: 2 1/4 divided  by 4 1/2 =.50

He went to school for 50 min I think

Question 3: If Eli’s odds of winning a game is 3:1, what is Eli’s probability of winning?

Answers

Answer:

25% chance of winning.

Step-by-step explanation:

can you please help me solve this 1/3(x+6)=1/2(x-3)

Answers

Answer:

The answer is X=21

Step-by-step explanation:

Solve for x  by simplifying both sides of the equation, then isolating the variable.

Simplify 1/3 and 1/2

It would look like [tex]\frac{(x+6)}{3} -\frac{(x-3)}{2}[/tex]

then[tex]\frac{21-x}{6}=0[/tex]

then mutiply 6 to each side and it will look like    21-x  = 0

Last, subtract 21 from each side and it will be

21=x

Circle YES or NO The terms 15and 9are like terms.

Circle YES or NO The terms -10xy and 9x are like terms.

Answers

Answer:

yes, and no

Step-by-step explanation:

Answer:

YES

NO

Step-by-step explanation:

15 and 9 are like terms because they can be simplified together. 15+9, 15-9, 15*9 can all be simplified further.

-10xy and 9x are not like terms because they cannot be simplified without the variables first being defined.

Please help

Which of the following situations would not trigger a prepayment penalty on a
mortgage that has a prepayment clause?
A. Making scheduled payments
B. Refinance of the mortgage
C. Sale of a house before the mortgage is paid off
Ο Ο
D. Making additional payments on the mortgage

Answers

Answer:

making scheduled payments

Step-by-step explanation:

PLEASE HELP ME, YOU WILL HAVE THE BEST DAY EVER TOMORROW IF YOU HELP ME

Allie must sell at least 50 gift baskets for the band fund-raiser. She already sold 36 baskets. Write and solve an inequality to determine how many more baskets Allie must sell for the fund-raiser.

Answers

Answer:

36+x>=50

I might be wrong but here's my explanation.

Step-by-step explanation:

We first of all know that she MUST sell 50 or more baskets.

Knowing this, we know the inequality sign will be facing the x and the 36 as the baskets can be equal to 50 or greater than 50.

Now we have: 36+x>=50

The x is remaining baskets needed.

If you were to solve the inequality you would get x>=14

Hope this helps! P.s. I'd do a bit more research just in case I'm wrong!! :)

Please help!!!!!!!!!!):$:

Answers

HEY!!HERE'S YOUR ANSWER

1/4+2/3

LCM=12

3+8/12

11/12

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Trapezoid W'X'Y'Z' is the image of trapezoid WXYZ
under a dilation through point C.

What scale factor was used in the dilation?

1.) -6/5
2.) -5/6
3.) 5/6
4.) 6/5

Answers

W'X' is the dilated image, which is smaller than the original, so the scale factor would be less than 1.

Set up a ratio of the dilated figure to the original:

15/18 divide this by 3 to get 5/6

The answer is 3) 5/6

Mr. Anderson decides to visit a childhood friend. His car gives him 24.22 miles to the gallon. Mr. Anderson has 6 gallons of fuel. Which of the following is true?
A.
Mr. Anderson can travel 72.66 miles.
B.
Mr. Anderson can travel 109.32 miles.
C.
Mr. Anderson can travel 181.32 miles.
D.
Mr. Anderson can travel 145.32 miles.

Answers

Answer:

D, 145.32 miles

Step-by-step explanation:

distance (24.22) divided by the amount of fuel (6 gallons) will give unit rate.

2k-3/-5 >7 can anyone solve this for me

Answers

Answer:

k< -16

Step-by-step explanation:

I WILL GIVE EXTRA POINTS AND BRAINLIEST HELPPP PLEASE!!!! SHOW ALL WORK!!!
Solve All 4

Answers

Answer:

#23 is x+27°=27

2x-17°=-17

#24 is x+23°=23

x+54°=54

#25 is x+79°=79

2x-37°=-37

#26 is 3x+71°=71

5x+37°=37

Step-by-step explanation:

how you ask because when it is like x+55° and 6x+88° that means its going to be a positive number.

but when it is like 5x-78° that means its going to be a negative number.

remember this +=positive and -=negative

hope this helped you out!

if a ferry boat covers 28 miles in 4 hours how much distance will it cover in 12 hours?

Answers

Answer:

84 miles in 12 hour

Step-by-step explanation:

12/4 = 3

3*28=84

Answer:

84 miles.

Step-by-step explanation:

First, find the rate of miles travel per hour.  It is given that the boat covers 28 miles in 4 hours. Simply divide 28 with 4:

28/4 = 7

The boat covers 7 miles per hour.

Now, multiply 12 hours with 7:

12 hours x 7 miles per hour = 84 miles per 12 hours.

84 miles is your answer.

~


please someone help

Answers

answer: 174 points

expression: 100 + (8c + 25g)

step 1: plug in 3 for c and 2 for g

step 2: solve parenthesis

step 3: add together

7.2 7.21 7.083 least ro greatest

Answers

Answer:

7.083, 7.21, 7.2

Step-by-step explanation:

7.083 is the smallest number because it has no number in the tenths place. And 7.21 is the second smallest because you have to think of it like a pie. And 7.2 is the largest.

What value of x makes the following equation true?

4 + 3x = 106

Answers

Answer:

34

Step-by-step explanation:

Step 1:

4 + 3x = 106        Equation

Step 2:

3x = 102      Subtract 4 on both sides

Step 3:

x = 102 ÷ 3     Divide

Answer:

x = 34

Hope This Helps :)

Is ( 2,7) a solution of 2y = 3x + 8

Answers

Answer:

Yes

Step-by-step explanation:

2(7) = 3(2) + 8

14 = 6+8

14 = 14

2) C ( t ) = 4t =15

A) find C ( 4 ).

B) Find C ( t ) = 23.

Answers

9514 1404 393

Answer:

  a) 31

  b) t = 2

Step-by-step explanation:

Put the given value into the equation and solve for the unknown.

a) C(4) = 4·4 +15

  C(4) = 31

__

b) 23 = 4t +15

  8 = 4t

  2 = t

!!! PLEASE ANSWER NOW!!!
A square has side length 4 cm. What is its area?

Answers

Answer:

16 cm

Step-by-step explanation:

4 × 4 = 16 cm

I hope this helps!

Answer:

16cm

Step-by-step explanation:

To find area of a square, multiply a side by itself.

4 x 4 = 16

Can anyone help please

Answers

Answer:

The anwser is B

Step-by-step explanation:

yes, because you need to convert the repeating number into a decimal. In this case, you can assume that x is the fraction form of 0.7 repeating.

What do squares and rhombuses have in common?

Answers

Answer:

They all have 4 sides?

Step-by-step explanation:

Its more of a uhhh.....visual thing

Answer:

They both have four vertices

Step-by-step explanation:

emilythompson35464

hope this helps srry if it doesn't tho

Final question, solve this equation and show work! Worth 20 points

Answers

Answer:

[tex]n=5/2[/tex]

Step-by-step explanation:

We have the equation:

[tex]5^{2n-2}=125[/tex]

Notice that 125 is the same as 5³. So:

[tex]5^{2n-2}=5^3[/tex]

Since they have the same base, the exponents must be equal. Therefore:

[tex]2n-2=3[/tex]

Solve for n. Add 2 to both sides:

[tex]2n=5[/tex]

Divide both sides by 2:

[tex]n=5/2=2.5[/tex]

So, the value of n is 5/2.

And we're done!

Answer:

N = 2.5

Step-by-step explanation:

Ok, so try this.

125 is 5^3, right?

And in this equation, we have 5 to the power of 2n-2 is equal to 125.

You need to make sure that the exponent ends up as 3.

How would you do this?

Try substituting N for 3.

That's too big.

Try Substituting N for 2.

That's a bit too small.

What number is in between 2 and 3?

2.5 is.

N = 2.5

Check your work, and see if you came up with the same answer

Work:

2.5 x 2 = 5

5 - 3 = 2

5^3 = 125

solve for x and show your work
5x-9=38

Answers

x = 9.4

5x - 9 = 38

5x = 47

x = 9.4

Answer:

The answer is x= 9.4

Step-by-step explanation:

5 x 9.4= 47

47-9=48

P.S. I tried very hard so your welcome :)

Question 6
Which number has the lowest value?
A 0.30 +0.54 +0.13
B 0.10 +0.66 +0.25
C 0.23 +0.23 +0.45
0.30+ 0.41 +0.23

Answers

Answer: C.

Step-by-step explanation: You add all the numbers in A, B, C. Then look at which one has the lowest value.

A. is .97

B. is 1.01

C. . is .91

D. is .94

So C. has the lowest value

The number which has the lowest value is 0.23 +0.23 +0.45, the correct option is C.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

A 0.30 +0.54 +0.13

B 0.10 +0.66 +0.25

C 0.23 +0.23 +0.45

0.30+ 0.41 +0.23

Now

A 0.30 +0.54 +0.13=0.97

B 0.10 +0.66 +0.25=1.01

C 0.23 +0.23 +0.45=0.91

0.30+ 0.41 +0.23=0.94

Therefore, the algebra with lowest value will be 0.23 +0.23 +0.45

More about the Algebra link is given below.

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For this function, what would f(34) = 72 mean?
A. That the 34th case has 72 blocks
B. That the y-intercept is 72
C. That the point (72, 34) is part of the solution
D. That the 72nd case has 34 blocks

Answers

Answer:

c

Step-by-step explanation:

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