If x-a is a factor of the difference of powers of equal odd exponent of the form x[tex]^{n}[/tex]-a[tex]^{n}[/tex] the signs of the second factor are:
A.
All negative

B.
All positive

C.
Alternating +, -, + ...

Answers

Answer 1

Answer:

Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Both the first and second signs are negative,

Let α and β are the roots of the ,

then, we know that the relationship between the zeroes and coefficients of quadratic equations:

Since the product of roots is positive.

So, the signs of the factors will be one positive and one negative.

Hence, Option 'D' is correct.


Related Questions

You ride your bike 1 3/10 mi to school. At the end of the day, you stop at a park on the way home. The park is 25 mi from school. Question : how far is the park from your house

Answers

Answer:

did u ever get the answer? if so what is it??

Step-by-step explanation:

Cait can bike 32 miles in the same amount of time that Carl can bike 24 miles. If Cait bikes 2 mph faster than Carl, how fast does Cait bike?

Answers

Let t = time in hrs for both to go 32 mi

Let s = Carl's speed in mi/hr

s + 2 = Caits speed in mi/hr

------------------------------------------------------------

Carl's equation:

(1) 24 = s · t

Cait's equation:

(2) 32 = (s+2) · t

-----------------------------------

(2) 32 = s · t + 2t

and

(1) s = 24/t

Plug (1) into (2)

(2) 32 = (24/t) · t + 2t

(2) 32 = 24 + 2t

(2) 2t = 8

(2) t = 4

and

(1) s = 24/4

(1) s = 6

The speed of Cait is 8 mph

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to different addition, subtraction, multiplication, and division arithmetic operations.

Let x be the time in hours for both to go 32 miles

Let y be Carl's speed

Then Caits speed  is = y+ 2

So, Carl's equation:

x y= 24

and, Cait's equation:

32 = (y+2) · x

32 = xy + 2x...............(1)

and, y = 24/x

Put the above value in equation (1)

(24/x) x + 2x = 32

2x+ 24 = 32

2x= 8

x=4

Also, y= 24/x= 24/4 = 6

Hence, speed of Cait is 8 mph

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

Choose
The.........is writing the number in any way. (number or digit or numerical form)​

Answers

Answer:

The...digit......is writing the number in any way.

The customers of Rhythm Time, an online music service, downloaded 3,790 songs last year. This year, the number was 20% higher. How many songs did they download this year?

Answers

Answer:

It should be 4,548

Step-by-step explanation:

Answer:

25 baby

Step-by-step explanation:

Find the straight line f(x) which intersects the coordinates (8,0) and (1, -7).

Answers

Answer:

y = x - 8

Step-by-step explanation:

7/7X - 8

the y intercept was the only tricky part

Answer:

f(x)=1x-8

Step-by-step explanation:

slope: 0-(-7)/ 8-1 = 7/7= 1

eg. (1,-7)

-7= 1 -y int.

y int. = 8

therefore:

f(x) = 1x-8

Last month, Ben rode his bike 24 miles a week for 4 weeks. This month, Ben ride his bike 28 miles a week for 3 weeks. How many miles did Ben ride his bike in all?

Answers

Answer:

180

Step-by-step explanation:

Multiply 24x4=96

Then, multiply 28X3=84

Finally add the 2 for a total of 180

Answer:

180 miles

Step-by-step explanation:

Basically, if he rode his bike 24 miles each week and he rode it for 4 weeks you would multiply 24 times 4, which gives you 96 miles. Then, you would do the same for the 28, 28 times 3 gives you 89 miles. Lastly, you add it all up. 96+89= 180 miles

:)

How many DECIMAL PLACES are in this problem: 0.02 x 32.4

Answers

Answer:

0.648

Step-by-step explanation:

I added multiplyed

Maria import special clay pots from Brazil. A shipment of 50 pots cost her $350. She then sells the pots at local fairs and art shows. On her last shipment she made a profit of $750. (1) What is the cost of 1 clay pot? (2) what is the total amount of sell in order to make the profit? (3) How much does she need to sell each pot in order to make the profit?

Answers

Answer:

Q 1) 7$ Q 2) 50 Q 3) 15$

Step-by-step explanation:

1) The cost of 1 claypot = $7

2) Total amount sold to yield the given profit = $1100

3) Amount to sell each pot to make the given profit = $22

We are given that;

Cost of 50 pots = $350

1) Since 50 pots costs $350, the cost of one pot will be;

Cost of 1 clay pot = 350/50 = $7 per clay pot

2) She made a profit of $750 on the 50 pots.

This means amount she sold in order to make the profit will be;

$350 + $750 = $1,100

3) Since total amount she sold to make the profit is $1,100, then amount each pot was sold to yield that profit on the 50 clay pots will be;

1100/50 = $22 per pot

Read more at; https://brainly.com/question/21364882

Question 2-4
20
Solve the compound inequality
<-4 or 5x +11 <-4.
3
Use the drop-down menus to provide the correct solutions to the compound inequality.
Solution: 2 < vor 2

Answers

Step-by-step explanation:

-x/3 < -4

-x < -12

x > 12

5x +11 ≤ -4

5x ≤ -4-11

5x ≤ -15

x ≤ -3

therefore, the solution is

x -3 or x > 12

Please help me on my homework

Answers

Answer:

tge answer is -8

Step-by-step explanation:

-14+8-5+8-2-3=-8

help please ..:/ don’t get it

Answers

hello! can i ask what module book this is ?

Hector wants to make sure he has 50 texts left for the day of his birthday party. After how
many days will Hector have 50 texts left?

Answers

how many texts did he start with? is there more to the problem?

Can someone explain how you do this and not only give me a answer?

Answers

You plug in 2 for the w and do 17 minus 2 and then you divide that by 3 so ur answer is going to be 17-2 which is 15 and then divide 15 by 3 and you get 5

Got it! Here you go!

Step-by-step explanation:

It seems you already know that you need to do 17-2/3(not two thirds, just over 3.)

The horizontal line means divide, so you will be dividing by 3. First, though,, you do...

17-2(which is 15)

and then divide it by 3.

15/3=5

Your answer is 5.

I hope I helped! Have a great day.

i don't know how to do math lol​

Answers

9514 1404 393

Answer:

  (d)  9

Step-by-step explanation:

The relation you're supposed to apply here is ...

  an exterior angle of a triangle is equal to the sum of the remote interior angles.

__

The exterior angle is 17x+7, and it is equal to the sum of the two marked angles inside the triangle.

  17x +7 = 13x +3 +40

  4x = 36 . . . . . . . . . . . . . subtract 13x+7 from both sides

  x = 9 . . . . . . . . . divide both sides by 4

How do I do 1 and 2

Because I don’t understand how too

Answers

Hey y’all u need to do is look up a factor tree and do it with those numbers then in the factor tree put a box around the composite numbers and a circle around the prime numbers in the tree and right the prime factorization at the bottom

What is 30+X=180,what is the measurement for

Answers

Answer:

X=150

Step-by-step explanation:

30+x=180

30+(-30)+x=180+(-30)  Get x by itself by subtracting -30 to both sides.

x=180-30

x=150

Dan gets paid $46,925 a year. If he gets paid biweekly, how much does he make per pay period.

Answers

Answer:

$1804.81

Step-by-step explanation:

There are approximately 52 weeks in a year.

If he gets paid biweekly, he gets paid every 2 weeks.

52/2 = 26

He gets paid 26 times per year.

$46,925/26 = $1804.81

well if Dan makes 46,925 a year then we need to find out how much he makes every single month so since we know there are 12 months in a year so we were divide 46,925 by 12 and we would get 3910.41 and since he gets paid biweekly which means every two weeks we would divide that by two giving us 1955.20 meaning he gets paid 1955.20 every other week

Mark works at a clothing store and earns a salary of $1.500 per month. In addition, he earns 20% commission on his total sales. Last month, Mark's clothing sales was
$2.600 What was his total income for the month?
$300
$520
$1,800
$2.020

Answers

Answer:

$2.020

Step-by-step explanation:

If you take 20% of 2.600, that gives you the equation 2.600/5 = x (should get 520

Add that to the base salary of 1.500 and that gets 2.020

Hope that helped :)

need help in pre algebra plz

Answers

The first one is d I believe and The second is B and C

I dont know the rest

Help asap!!! I will give brainliest, see attached screenshots!

Answers

Answer:

sorry I only know the first page but i couldn't just comment it because of the squares

in order

[tex](3bc)^{2}[/tex]

[tex](10mn^{3})^{2}[/tex]

f(x)=2x-1 and g(x)=6x-2. Write a formula for (fg)(x)

Answers

Answer:
2(6x-2)-1

Explanation:
Plug in g(x) for x

4.68x10^6x2.6x10^2
Please help

Answers

Hard question but took my time and i have come up with 1216800000

What is the problem for this Problem?

Answers

Answer:

Negative: (-∞,-3] and [1/2,-∞)

Positive: [-3,1/2]

Step-by-step explanation:

The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.

Kylie is buying a new pair of tennis shoes. The price tag says that the shoes are
regularly priced at $68.80. Kylie has a coupon for 20% off.

Part A: How much money will Kylie save if she uses the coupon? Show your
work.

Part B: How much will Kylie pay for the shoes after the discount? Show your
work.

Answers

Answer:

Part A: $13.76 saved. Part B: $55.04

Step-by-step explanation:

Part A: Set a proportion up d/68.8 = 20/100

100·d=100d 68.8·20=1376

100d/100 cancels out

1376/100=13.76 so $13.76 was saved

Part B: 68.80-13.76= 55.04 so $55.04 was what he paid.

Latex paint sells for $27 per gallon and will cost you $270 to paint your room. If each gallon will cover 350 square feet, how many square feet of wall space do you have in your room?

Answers

Answer:

3500

Step-by-step explanation:

(270/27)× 350= 10 x 350

pls help im so desperatae

Answers

Answer:

7 years old

Step-by-step explanation:

Let Maggie's age be x

Let Maggie's brother's age be 4x-4

x+4x-4= 31

5x = 35

x = 7

Can someone help in this ?

Answers

Answer:

Aalu le aalu

Step-by-step explanation:

baigan lele

Answer:

6

Step-by-step explanation:

-7+140/10-1 = 14-8=6

QUICKKK?!!

Find the slope of the line passing through the points (-7, - 7) and (4,-7).
Slope:
through the points (4,7) and (4, -6).
slope:

Answers

Step-by-step explanation:

the line passing through the points (-7, - 7) and (4,-7).

Slope: (-7+7) /(4+7) = 0/11 = 0

this is a horizontal line

through the points (4,7) and (4, -6).

slope: (-6-7) /(4-4) = -13/0 = oo

this is a vertical line

Did you know that an unopened 355 mL can of diet Dr. Pepper will float in a lake? That's a fact! However, it's also a fact that an unopened 355mL can of regular Dr. Pepper will sink in that same lake! Based on these two facts, which type of soda is the least dense? Explain your answer.​

Answers

Answer: An unopened can of Diet Dr. Pepper is the least dense.

Step-by-step explanation:

For a solid object to float in a liquid, it must be less dense.

Let's associate the density of Diet Dr. Pepper with x, Dr. Pepper with y, and lake water with z.

Because of the above fact, x < z, and y > z.  Thus, x < z < y, and x < y.

Hope it helps :) and let me know if you want me to elaborate.

It’s just Dr Pepper i would still drink it even if it sank

Find the values of p and q given that x⁴ + x³ - 7x² + px + q is divisible by (x - 1) and (x + 2)​

Answers

Answer:

p = - 5, q = 10

Step-by-step explanation:

If f(x) is divisible by (x - h) then f(h) = 0

Here

f(x) = [tex]x^{4}[/tex] + x³ - 7x² + px + q

dividing by (x - 1) with h = 1 , then

[tex]1^{4}[/tex] + 1³ - 7(1)² + p + q = 0, that is

1 + 1 - 7 + p + q = 0

- 5 + p + q = 0 ( add 5 to both sides )

p + q = 5 → (1)

Dividing by (x + 2) with h = - 2 , then

[tex](-2)^{4}[/tex] + (- 2)³ - 7(- 2)² - 2p + q = 0 , that is

16 - 8 --- 28 - 2p + q = 0

- 20 - 2p + q = 0 ( add 20 to both sides )

- 2p + q = 20 → (2)

Subtract (1) from (2) term by term, thus eliminating q

- 3p = 15 ( divide both sides by - 3 )

p = - 5

Substitute p = - 5 into (1) and solve for q

- 5 + q = 5 ( add 5 to both sides )

q = 10

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