If f(x) is a fifth degree polynomial, is it possible that it has exactly 5 complex roots?
yes
no

Answers

Answer 1

No.

A fifth degree polynomial, having a graph that increases and starts from below x-axis.

Therefore, no matter what equation it is. The fifth degree polynomial will intercept x-axis AT LEAST one.

The fifth degree polynomial can have only at maximum, 4 complex roots.

You can try drawing or seeing the graph of fifth-degree polynomial function. No matter what equations, they still intercept at least one x-value.


Related Questions

Solve the equation.
x + 5 = -3
15 point!!

Answers

Answer:

x = -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

x + 5 = -3

Step 2: Solve for x

Subtract 5 on both sides:                     x = -8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    -8 + 5 = -3Add:                                     -3 = -3

Here we see that -3 does indeed equal -3.

∴ x = -8 is the solution to the equation.

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

Subtract 5 from both sides.

[tex]x=-3-5[/tex]

Simplify [tex]-3 -5[/tex] to [tex]-8[/tex]

[tex]x=-8[/tex]

let check if the answer is correct

[tex]x+5=-3[/tex]

Let [tex]x=-8[/tex]

[tex]-8+5=-3[/tex]

Simplify [tex]-8+5[/tex] to [tex]-3[/tex]

[tex]-3=-3[/tex]

CHECKED

PLEASE MARK ME AS BRAINLIEST

The student council sold jars of mixed nuts at their bazaar they were given 40 empty jars. They paid $19.60 for the nuts and $11.20 for decorative ribbon they made a profit of 98¢on each of the 40 jars sold. How much did they charge for each jar

Answers

Answer:

[tex]\$1.75[/tex]

Step-by-step explanation:

Total amount paid for the nuts is $19.60

Total amount paid for the ribbons is $11.20

Profit made on each jar is 98¢= $0.98

Cost price of the nuts and ribbon for the 40 jars is [tex]19.6+11.2=\$30.8[/tex]

Cost price for nuts and ribbonn for one jar = [tex]\dfrac{30.8}{40}=\$0.77[/tex]

Selling price is the sum of the cost price and profit.

Selling price for one jar = [tex]0.77+0.98=\$1.75[/tex]

They charged [tex]\$1.75[/tex] for each jar.

In triangle ABC, AC=BC, CD is perpendicular to AB with D belonging to AB, AB=4in, and CD=square root of 3 in. Find AC.

Please help. I honestly only need the answer, and if it's correct Ill give you brainliest!!

Answers

Answer:

The square root of 7

Step-by-step explanation:

Answer:

√7

Step-by-step explanation:

To find AC, use half of the base and the hight. Use the pythagorean theorm to help. 2^2+√3^2=x^2, 7=x^2, x=√7

pleasee help 100 points

Answers

Answer:

[tex]\begin{array}{| c | c |}\cline{1-2} x & y\\\cline{1-2} -3 & 0\\\cline{1-2} -2 & 1\\\cline{1-2} -1 & 2\\\cline{1-2} 0 & 3\\\cline{1-2} 1 & 4\\\cline{1-2} 2 & 5\\\cline{1-2}\end{array}[/tex]

non-proportional

Step-by-step explanation:

Given equation:

[tex]y=x+3[/tex]

Create a table of ordered pairs using the given equation:

[tex]\begin{array}{| c | c | c |}\cline{1-3} x & x+3 & y\\\cline{1-3} -3 & -3+3 & 0\\\cline{1-3} -2 & -2+3 & 1\\\cline{1-3} -1 & -1+3 & 2\\\cline{1-3} 0 & 0+3 & 3\\\cline{1-3} 1 & 1+3 & 4\\\cline{1-3} 2 & 2+3 & 5\\\cline{1-3}\end{array} \implies \begin{array}{| c | c |}\cline{1-2} x & y\\\cline{1-2} -3 & 0\\\cline{1-2} -2 & 1\\\cline{1-2} -1 & 2\\\cline{1-2} 0 & 3\\\cline{1-2} 1 & 4\\\cline{1-2} 2 & 5\\\cline{1-2}\end{array}[/tex]

Graph

As the given equation is linear, plot two of the ordered pairs and draw a straight line through them.  (See attachment).

Proportional Relationship

A relationship in which two quantities vary directly with each other.

y varies directly as x:

[tex]y=kx[/tex]

(where k is some constant)

To find if the relationship is proportional using the table, find the ratio  [tex]\dfrac{y}{x}[/tex] of each row. If the ratio is the same, the relationship is proportional.

[tex]\begin{array}{| c | c | c |}\cline{1-3} x & y & \dfrac{y}{x}\\\cline{1-3} -3 & 0 & 0\\\cline{1-3} -2 & 1 & -0.5} \\\cline{1-3} -1 & 2 & -2 \\\cline{1-3} 0 & 3 & \text{-}\\\cline{1-3} 1 & 4 & 4\\\cline{1-3} 2 & 5 & 2.5\\\cline{1-3}\end{array}[/tex]

Graphs of proportional relationships pass through the origin (0, 0).

Therefore, the relationship is non-proportional because:

The ratios of y/x of each row of the table are not the same.The graph does not pass through the origin.There is the addition of a constant in the given equation, which means that y does not vary directly as x.

On a spinner, there are 10 equal spots, numbered 1-10. What is the probability of spinning a 5 and then spinning a 5 again?

Answers

Answer:

1 out of ten

Step-by-step explanation:

so if there are ten sides and all are numbered 1-10 then 5 is only one tenth.

In the figure below does a = 120? Explain your answer and show your work on the scratchpad.

Answers

Answer:

Honestly I don't know but I hope you have a good day

55+65 have a good day

Mary borrowed $840 from her friend to help pay for a trip. She paid him $40 every
week until the debt was paid.
How many weeks did it take Mary to pay her debt?
A. 40
B. 35
C. 32
D. 21

Answers

Answer:

d.21

Step-by-step explanation:

840/40=21

Answer:

21 Weeks

Step-by-step explanation:

$840 ÷ 4 weeks = 21

You can also reverse work this by multiplying $40 by the other choices!

$40 x 40 = $1600

$40 x 35 = $1400

$40 x 32 = $1280

$40 x 21 = $840

As we can see, D is the only answer that makes sense, therefore 21 weeks is the answer.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

have yall ever met a person that matches your energy so much

BUT THEY LIVE IN A WHOLE OTHER STATE. LIKE BRUUUUU

Answers

Answer

i know right

Step-by-step explanation:

WILL GIVE BRAINLIEST Mrs. Bergen ordered a total of 12 drinks from Peets. She ordered twice as many coffees (x) as chai tea drinks (y). How many of each drink did she order?
give system of equations
give answer as sentence

Answers

Step-by-step explanation:

12=2x+y

that's what I got hope this helps u broo

Can someone help me with this?

Answers

Answer:

its 28 - 12

Step-by-step explanation:

so basically what u do is u multiply 4x7 and thats 28

and then u multiply 4x3 and thats 12

then when u subtract 28 - 12 u get 16

whiich would be the answer to the problem if u were to solve it

A riverbank has been colonized by mink. They are an alien species that attacks local wildlife. The river authority traps and removes the minks. Each year it reduces the number by 60%. What percentage of the mink remain after 4 years?



Answers

Answer:

24%

Step-by-step explanation:

it is easy when you multiply 6 and 4 to know how many minks remain

1 Evaluate the expression 2a + b - 3 when a=5 and b=2. Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.

Answers

Answer:

9

Step-by-step explanation:

From the question,

We are to evaluate the expression : 2a + b - 3 when a=5 and b=2.

We substitute 5 for a and 2 for b in the given expression

2a + b - 3

= 2(5) + 2 - 3

= 10 + 2 - 3

= 12 - 3

= 9

PLEASE HELP FAST!!!Which is the best description for the graph?

Which Answer is correct?
A. The graph is increasing everywhere.

B. The graph is decreasing everywhere.

C. The graph is increasing, then decreasing.

D. The graph is decreasing, then increasing.

Answers

Answer:

I believe the answer would be B

what is the slope of the line

Answers

There is no slope for this line. It’s undefined.

Answer: Undefined

Step-by-step explanation: It is Correct on Khan Academy

Karen is training for a marathon. she ran 15 miles in 135 minutes. At this rate, how long will it take Karen to run 25 miles.

Answers

Answer:

225

Step-by-step explanation:

135/15=9x25=225

Determine the area of the rectangle
6x + 3
X+5

Answers

Answer:

Step-by-step explanation:

multiply the two expressions

(6x + 3)(x + 5)

6x^2 + 30x + 3x + 15

6x^2 + 33x + 15

simplify if needed

3(2x^2 + 11x +5)

hope this helps <3

what is the surface area of the square pyramid (pic attached)​

Answers

Answer:

18ft2

Step-by-step explanation:

Can someone really help me please!

Answers

Step-by-step explanation:

The formula for area of a rectangle is A= length times width. They gave you the area of the entire rectangle. But because this is a shape with a cutout, you still need the area of the missing section.

A= 1*4 = 4 units

Now subtract that from 49.

A=49 - 4= 45 square units

Answer:

49-4 = 45

Step-by-step explanation:

hope it helps

.......

1 What is the slope of a line? A Its length. B Its width. C Its location in space. D Its steepness. PLEASEEEE HELP​

Answers

Answer:

its steepness

Step-by-step explanation:

92% of x PLEASE ITS FOR A POP QUIZZ!

Answers

Answer:?

Step-by-step explanation:

Find the 52nd term in the following sequence.

-31, -41, -51, -61,

Answers

Answer:

[tex]a_{52}[/tex] = -541

Step-by-step explanation:

10=95/2+4^2x

Please show step by step, I am having trouble with logarithms.

Answers

Answer:

x = [tex]-\frac{75}{32}[/tex]

Step-by-step explanation:

10 = [tex]\frac{95}{2}[/tex] + [tex]4^{2}[/tex] * x

10 = [tex]\frac{5 * 19 }{2}[/tex] + ([tex]2^{2}[/tex])²x

10 = [tex]\frac{5 * 19 }{2}[/tex] + [tex]2^{2*2}[/tex] * x

x = [tex]-\frac{75}{32}[/tex]

DASHER spent half as much as prancer did on holiday presents this year and cupid spent 3 times more than DASHER . If the total spent between the three of them was $720, how much did they each spend on gifts

Answers

Answer:

d=120

p=210

c=360

Step-by-step explanation:

We want to find and solve a system of equations to see how much spent each one of the 3 friends.

We can conclude that Dasher spent $120, Prancer spent $240, and Cupid spent $360.

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

To make the system of equations, first we need to define the variables that we will use.

D = amount that Dasher spent.P = amount that Prancer spent.C = amount that Cupid spent.

We know that:

"Dasher spent half as much as Prancer".

Then: D = P/2.

"Cupid spent 3 times more than Dasher"

Then: C = 3*D

"In total the spent $720"

Then: C + D + P = $720

Writing the 3 equations together, we get:

D = P/2C = 3*DC + D + P = $720

To solve the system we need to replace variables, we can see that C is isolated in the second equation, then we can replace it on the last one so we get:

D = P/2

3*D + D + P = $720

Now we can replace the first one in the second one to get:

3*(P/2) + P/2 + P = $720

3*P = $720

P = $720/3 = $240

Then we can use the first equation to find the value of D:

D = P/2 = $240/2 = $120

Finally, we can use the second equation find the value of C:

C = 3*D = 3*$120 = $360

Then we can conclude that Dasher spent $120, Prancer spent $240, and Cupid spent $360.

If you want to learn more, you can read:

https://brainly.com/question/12895249

A nail has a circular head with a diameter of 0.40 centimeters.
What is the area of the nail's head, rounded to the nearest hundredth of a square centimeter?

Answers

π r^2 is the formula for area of a circle. So take half the diameter, which is 0.20, and plug that in for r. Your answer will be 0.4π or ≈1.2566

A farm has 38 animals, some horses and some chickens. Randy made a guess that got him 100 legs. What was his guess?

Answers

This question makes no sense some horses and some chickens like bro makes no sense.

Answer:

152

Step-by-step explanation:

I think :/

yayayayayayayayayyaya

Answers

Answer:

thank you for points

Step-by-step explanation:

HELP PLEASE! IT"S DUE IN 5 MINUTES!!!

Answers

Answer: where’s the question??

Step-by-step explanation:

Answer:

what do you need help with??

Step-by-step explanation:

Darien's kitten weighs 2.25 pounds. Her dog weighs 10 times the weight of the kitten. How much does her dog weigh?

Answers

Answer: 22.5 LBS (Or Pounds)

Work: After I multiplied 2.25 by 10, I received the answer above. Happy Holidays! :)

Answer:

22.5 pounds

Step-by-step explanation:

You multiply 10 by 2.25 to get your answer

You can just move the decimal to the right one decimal place since you're multiplying by 10

PLEASE HELP! MATH! ​

Answers

t = 12r/(r+120)

t(r+120) = 120r

tr+120t = 120r

tr-120r = -120t

r(t-120) = -120t

r = -120t/(t-120)

r = 120t/(120-t)

Help please!!! Hurry​

Answers

Answer:

No solution

Step-by-step explanation:

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