f(x) = x ^ 4 - 6x ^ 3 + 8x ^ 2 - 21 ^ 2 the possible rational zeros

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]

we conclude that it has two or four real roots.


Related Questions

what is the measure of angle pos​

Answers

The answer is 104°.

.. .. ..

Answer:

Step-by-step explanation:

A line is always equal to 180. So if angle POR is 76, you would do 180-76 which equals 104.

A rectangular portrait is 4 feet wide and 4 feet high. It costs $9.00 per foot to put a gold frame around the portrait. How much will the frame cost?

Answers

Answer:

$144

Step-by-step explanation:

perimeter = 4 + 4 + 4 + 4 = 16 feet

16 x 9 = $144

Someone help plz make sure it’s right and no websites plz :)

Answers

Answer:

24/25

Step-by-step explanation:

cosine = adjacent/ hypothenuse so 48/50 simplifies to 24/25

In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.

Answers

Answer:

1843:6754.9709254546.,657675

Step-by-step explanation:

The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°

What is the law of sines?

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔRST

Now , the measure of s = 620 cm

The measure of side r = 210 cm

And , the measure of angle m∠R = 17°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin ( 17 )° / 210 = sin ( S ) / 620

Multiply by 620 on both sides , we get

sin ( S ) = ( 620 / 210 ) x 0.2923717

On further simplification , we get

sin S = 0.86319265203

Taking inverse on both sides , we get

S = sin⁻¹ ( 0.86319265203 )

S = 59.68°

S = 59.7°

Therefore , the value of S is 59.7°

Hence , the measure of angle m∠S = 59.7°

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Solve the equation.

3x + 2(4x − 6) = 8x + 1


What is the value for x?

Please enter fractional values in the form ‘a/b’. For example, an answer of 3/4 will be entered as 3/4.
x =

Answers

Answer:

13/3

Step-by-step explanation:

Try it

.
What is the perimeter of this tile?
3 in.
3 in.

Answers

Answer:

I think it's 12

Step-by-step explanation:

Last night, Jasmine and her family went out for dinner. The questions below came up on their way to the restaurant or during the meal. Decide whether or not each question is a statistical question. Select all that apply.
●How far are we from the restaurant?
●How long will it be until we get there? ●Would you rather have burgers or pizza?
●How much should we leave for the tip? ●What was the most frequently ordered dish in the restaurant this evening?
●Did you like the pizza tonight?
●Which table's bill was the highest?
●How many people were sitting at each table this evening?​

Answers

A statistical question is a question where the data collected can vary.

Ex. Statistical - "How old are the students in my class?" The data can vary based on which student you ask.

The following questions are statistical:

●Would you rather have burgers or pizza?

●How much should we leave for the tip?

●Did you like the pizza tonight?

●How many people were sitting at each table this evening?

These questions can vary based on who you ask or where you look

I hope this was helpful! =)

what is 3/4 x 7?????

Answers

Answer:

The answer is 5 1/4

It’s simple if you need more help just ask

x is 6 or less and more than – 5
A: – 5 <
x
≤ 6 B: – 5 >
x
≤ 6 C: – 5 ≤
x
≤ 6 D: – 5 <
x
< 6 E: – 5 ≤
x
< 6

Answers

Answer:

A

Step-by-step explanation:

X is 6 or less so we can start there  x≤6. X is also more than -5 so we can do that. -5<x. If we put those two together we get -5<x≤ 6.

The expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The statement of inequality is x is 6 or less and more than – 5

The inequality for x is 6 or less ,

⇒ [tex]x\leq 6[/tex]

The inequality for x is more than – 5

⇒ [tex]x > -5[/tex]

Thus x is 6 or less and more than – 5 can be written as inequality,

⇒ [tex]-5 < x\leq 6[/tex]

Hence we can conclude that the expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

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Hey can you help me fast!!

Answers

Answer:

I believe the answer would be -4 1/2.

13/18 goodluckkkkkyyyy

simplify 3/x-1 + 1/x-2

Answers

Answer:

4-3x over x or 4-3x/x

I'm not sure. but I hope it can help you:))

The volume of a cylinder is 720π cm3. The height of the cylinder is 20 cm. What is the radius of the​ cylinder?

Answers

Answer:

Radius = 3.38 cm

Step-by-step explanation:

Here's your solution

=> The volume of cylinder = 720π cm^3

=> The height of cylinder = 20 cm

=> Radius = ?

=> Formula of volume of cylinder = πr^2h

=> 22/7 * r^2 * 20 = 720π cm^3

=> r^2 = (720*7)/20*22

=> r^2 = 11.45

=> r = 11.45

=> r = 3.38 cm

hope it helps

A city has a population of 280,000 people. Suppose that each year the population grows by 8.25%. What will the population be
after 14 years?

Answers



Population=280,000X(1.0825^14)= 849,471.2827814284 people.

You didn’t include what this needed to be rounded to. Probably nearest thousand people. 850,000 people.

HOW DO YOU SOLVE THESE DIAMOND PATTERNS!!!

Answers

Answer:

Cut them in half and do this

Step-by-step explanation:

1/2(?)(?)

Answer: The pattern of the numbers is constant: On the left and right side of the diamond, you have two numbers, sometimes called factors;In the top part you can find their product; and In the bottom section - their sum

Step-by-step explanation:

Complete the statement to write a general rule for dividing expressions with exponents.

Answers

Answer:

409

Step-by-step explanation:

I got it right on mine

A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equation ℎ()=25+2.5−122. Height is measured in feet and time is measured in seconds.

Answers

h(0) show the initial height of the plane, that is 25 feet.

The given equation is h(t)=25+2.5t-1/2 t².

Here, h(0)=25+2.5(0)-1/2 (0)²

h(0)=25

This shows the initial height is 25 feet.

Therefore, h(0) show the initial height of the plane, that is 25 feet.

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"Your question is incomplete, probably the complete question/missing part is:"

A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equation h(t)=25+2.5t-1/2 t². Height is measured in feet and time is measured in seconds.

Evaluate h(0) and explain what this value means in this situation.

find angle that is marked by question mark​

Answers

Answer:

? = 50°

Step-by-step explanation:

? = 180° - 130° = 50°

The sun of the interior angles of a quadrilateral =360
90+90+130+x=360
X=50

PLZ HELPPPP

What is the height of a cone that has a volume of 90m³ and has a radius of 3.5 m?

Answers

The answer is 7.02.

This is because pi×r^2×h/3

h=3 90/3.14×3.5^2=7.01581m

Answer:

h = 7.02 m

Step-by-step explanation:

Volume of a cone = ⅓ × πr²h

h = 3 × V/πr²

= 3 × 90/3.14×(3.5)²

≈ 7.015.. m

≈ 7.02 m

Solve for i

3 (.5i - 6 ) = 12

Answers

Answer:

2

Step-by-step explanation:

15i-18=12

15i= 12+18

15i= 30

I= 30/15= 2

(PLEASE HELP)
What is the area of the shaded region?

Answers

Answer:

12 cm squared

Step-by-step explanation:

4x4=16

2x2=4

16-4=12

HELP PLEASEEEE NO BITLYS OR LINKS

Answers

The answer is quadratic

Select all correct ways of factoring –3x – 9.

Answers

umm if u factor it u get
-3(x+3)

Answer:

Some possible expressions, since there's no answer choices provided:

-3(x + 3)

3(-x - 3)

Step-by-step explanation:

Expression 1:

This uses a GCF of -3, since -3x and -9 are divisible by this. Let's divide -3x and -9 by this first:

-3x / -3 = x

-9 / -3 = 3

So now, we can add these terms and multiply them by -3 to get our answer:

-3(x + 3)

And just to check, we can expand it:

-3x + -3(3) = -3x - 9

Expression 2:

This uses a GCF of 3, like the last one but it's negative. -3x and -9 are also divisible by this. Let's divide both terms by this GCF first:

-3x / 3 = -x

-9 / 3 = -3

Now, we can add these terms and multiply them by -3 to get our final answer:

3(-x - 3)

To check, once again:

-3x + 3(-3) = -3x - 9

Amy plotted these four points on a coordinate grid.
• Point A: (-2,-9)
•Point B: (-2,9)
•Point C: (2,-9)
•Point D: (2,9)

Which point is the first quadrant?

Answers

Answer:

Point D: (2, 9)

Step-by-step explanation:

The first quadrant includes points that have a positive x coordinate and a positive y coordinate. The only point that meets these conditions is point D, (2, 9).

Find the equation
of the circle having AB as a chord
where A is the point (3,4) B( 6,1) and the tangent to the
circle at point A is the line 2y=x+5.​

Answers

Answer:i dont remember

Step-by-step explanation:

Explain how you know that √10 is between 3 and 4? what would your estimate of √10 be??

Dont try and say the answer in a mf file i have to download lol

Answers

Answer:

Step-by-step explanation:

Welllllll.....

If you take the square root of 9, it's 3

if you take the square root if 16, it's 4

I would guess it to be about 3.2

Answer:

Step-by-step explanation:

Lily ,  we know that [tex]3^{2}[/tex] =9  and [tex]4^{2}[/tex] = 16  so we know that  [tex]x^{2}[/tex] = 10  , where 10 is an answer to x squared,  then X lies between 3 and 4   ,  see?  

ILL MARK BRAINLIEST TO FIRST PERSON TO ANSWER CORRECTLY

Which One Doesn't Belong? Determine which equation from the four below doesn't belong and justify your answer. Could there be a different answer?

Answers

Answer:

what on the planet is the question

Left box on the bottom, because they don’t look exactly parallel to one another.

The equation t= 6 + wrepresents the relationship between the number of weeks and the total amount saved.

TRUE OR FALSE
AND WHY

Answers

True hahahahahahahahahhahahahah

Answer:

hello my followers and my

A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 5 bacteria. How many bacteria will be in the sample after 22 hours.

Answers

Answer:

18 bacteria

Step-by-step explanation:

The formula for Exponential growth is given as:

y = a (1 + r)^t

a = Initial sample size = 5

y = Sample size after time t

r = Growth rate = 6% = 0.06

t = Time in hours = 22

Hence,

y = 5 (1 + 0.06)²²

y = 5 × 3.6035374165783565

y =18.017687083 bacteria

Approximately = 18 bacteria

Therefore, there would be 18 bacteria in the sample after 22 hours

the sum of -4 and a number is equal to -48 what is the number
a. -12
b. -44
c. 12
d. -52

Answers

Answer:

-44(b)

Step-by-step explanation:

-4+x=-48

add 4 to both sides

x=-44

Determine which pair of points has a negative slope.
(6,9), (5, 7)
(-9, -2), (3,6)
(-8, 1), (8, -8)
(2, -8), (-1, -9)

Answers

Answer:

(–8, 1), (8, –8)

Step-by-step explanation:

Answer:

(-8, 1), (8, -8) has a negative slope

Step-by-step explanation:

1). y2 - y1 / x2 - x1

7 - 9 / 5 - 6

= 2

2). y2 - y1 / x2 - x1

6 - (-2) / 3 - (-9)

= 2/3

3). y2 - y1 / x2 - x1

-8 - 1 / 8 - (-8)

-9/16

4). y2 - y1 / x2 - x1

-9 - (-8) / -1 - 2

= 1/3

Other Questions
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Freezing keeps food safe by slowing the movement of molecules, causing microbes to enter a dormant stage. Freezingpreserves food for extended periods. It prevents the growth of microorganisms that cause both food spoilage and foodborne illness.A way to preserve the quality of food is to pay attention to the packaging. Proper packaging helps maintain quality and prevent freezerburn. It is safe to freeze meat or poultry directly in its original packaging: however, this type of wrap is permeable to air. This may causequality to finish over time. For prolonged storage, overwrap these packages as you would any food for long-term storage. It is not necessaryto rinse meat and poultry. Freeze unopened vacuum packages as is. If you notice that a package has accidentally been torn or has openedwhile food is in the freezer, the food is still safe to use; merely overwrap or rewrap it.Because freezing keeps food safe almost indefinitely, recommended storage times are for quality only. 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