1. According to the fundamental theorem of algebra, how many zeros does the function [tex]f(x) = 3x^6 - 7x^5 - 53x^3 - 43x - 34[/tex] have?

2. What are the zeros of [tex]f(x) = 6x^3 + 25x^2 - 24x + 5[/tex]

Answers

Answer 1

Answer:

See below for answers

Step-by-step explanation:

1) The Fundamental Theorem of Algebra states that in an nth-degree polynomial, there are n zeroes at most, including those that are complex. Therefore, there are 6 zeroes in the function since it's a 6th-degree polynomial.

2) Reduce the polynomial and use the Zero Product Property:

[tex]0=6x^3+25x^2-24x+5[/tex]

[tex]0=(6x^2-5x+1)(x+5)[/tex]

[tex]0=(3x-1)(2x-1)(x+5)[/tex]

[tex]x_1=\frac{1}{3},x_2=\frac{1}{2},x_3=-5[/tex]


Related Questions

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

9.81925> rounding up, final answer is x= 9.8

please help meeeeeeee due in 5 minutessssssssssssss

Answers

Answer:

I think it would be 6. But im not 100% sure

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Mean x¯¯¯ 12.875

Median x˜ 11.5

Mode 15

Range 34

Minimum 6

Maximum 40

Count n 16

Sum 206

Quartiles Quartiles:

Q1 --> 8.5

Q2 --> 11.5

Q3 --> 14.5

Interquartile

Range IQR 6

Outliers 40

what is the answer to the following?

9+(60x8)-120?

80(50-24)+20?

Answers

Answer:9+(60x8)-120= 369

             80(50-24)+20= 126

Step-by-step explanation:

Help pls!!!! Help PLs Help pls

Answers

Answer: mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Please Like!

Pls help I’ll brainlest for correct answer you gotta graph it on the graph too

Answers

Answer:

Slope: -2/3

Y Intercept: 0,-3

Step-by-step explanation:

To find the slope, use the formula (y1-y2)/(x1-x2)

(1-(-1))/(-6-(-3))

-2/3

So the slope is: -2/3

If the slope is 3/2, then the using the formula of y=mx+b, we can find the y intercept (b)

y = -2/3x + b

insert any point of x and y

-1 = -2/3(-3)+b

-1=-2+b

so b = -3

thus, the Y intercept is 0,-3

See graph attached for graph

What is the average rate of change on the interval from 3 to 9?
Enter your answer in the grid below. Make sure your answer contain

Answers

Answer:

5

Step-by-step explanation:

Write 762.238 correct to 2 decimal places

Answers

Answer:

762.24

Step-by-step explanation:

Rounded to the hundredth place

can someone please help me solve these 4

Answers

Answer:

find the area and then multiply

Step-by-step explanation:

How many time can 3/8 go into 12?

Answers

Answer:

32

Step-by-step explanation:

This is a division problem.

12 divided by 3/8.

12 ÷ 3/8 = 12/1 × 8/3 = (12 × 8)/(1 × 3) = 4 × 8 = 32

Answer: 32

3n + 6n -4 = 2n + 2 + 5n​

Answers

Answer:

3n +6n-4=2n+2+5n

9n-4=7n+2

9n-7n=2+4

2n=6

n=6÷2

n=3

Write 0.06 as a fraction

Answers

Answer:

3/50

Step-by-step explanation:

Answer:

0.06 is equal to 3/50.

Hope that helps. x

How do you know where to place a decimal in a quotient?

Answers

Divide. Place decimal point in the quotient. It should be placed directly above the decimal point in the dividend.

At the movie theatre, child admission is $5.50 and adult admission is $8.90. On Friday four times as many adults tickets as child tickets were sold, for a total sales of $986.40. How many child tickets were sold that day?

Answers

Answer:

You can use grouping, quantity and value to solve this question.

Child admission = $5.50

Adult admission = $8.90

Friday sales (Quantity):

Child = x

Adult = 4x

Total sales = 5x

Friday sales (Value):

Child = $5.50

Adult = 4 × $8.90

         = $35.60

Total sales = $986.40

1 group = $5.50 + $35.60

            = $41.10

Number of groups = $986.40 ÷ $41.10

                               = 24

The number of child tickets sold is 24.

Y<-3 which is the solution:

A) 5

B) 0

C)-2

D)-5

Answers

Y needs to be less than -3 the larger the negative number the further from 0 it is so -5 would be less than -3

Answer: -5

How would the expression x3 -3 sqrt 3 be rewritten using difference of cubes?
O A. (x- 13 )(x2-3x - 3)
O B. (x+ 3)(x + 13 x + 3)
C. (x - 13 )(x2 + 3x + 3)
O D. (x- vb)(x2 + v3 x+3)

Answers

Answer:

x^3 - (√3)^3

I'm not so sure since it's not even an option

Step-by-step explanation:

x^3 - 3√3 = x^3 - 3^1 × 3^(1/2)from the laws of indices: 3^1 × 3^(1/2) = 3^(1 + 1/2)= 3^(3/2) which is the same as (√3)^3so it could be written as x^3 - (√3)^3

Hilary walked 654 feet in 3 minutes. She says she walked 218 feet per minute. Is Hilary’s
answer reasonable? Explain.

Answers

Yes!
Because if she is walking 218 feet per minute then if you multiply 218 by 3 we get 654 feet
Which means she must have travelled 654 feet in 3 minutes in order for it to be true which it is! Hope this helps!

Which equation has a maximum at y = 5 for 0 < x < 27?

Answers

Answer:

To determine which equation has a maximum at y =5, you will need to compare their graphs looking only at the x-values between 0 and 27.

Step-by-step explanation:

Jada buys 5 notebooks and 6 pens. Each notebook costs $4. Jada pays the cashier $40 and gets $8 change.
What is the cost, in dollars, of one pen? Show or explain how you got your answer.

Answers

Answer:$2

Step-by-step explanation:

5 notebooks cost $4 each

5*$4=$20

Jada pays the cashier $40 and gets $8 back

So in order to figure out how much was paid you take

$40-$8=$32

Then to figure out how much each pen cost I take

$32-$20=$12

So there was 6 pens that were bought and to get the total per each pen

$12/6=$2 each per pen

Help
This is a a or b question

Answers

Answer:

A. (A) Yes

B. (A) Yes

C. (B) No

Step-by-step explanation:

A is Categorical because it is not based on numbers.

B is Categorical because it is not based on numbers.

C is Not Categorical because it is based on numbers.

Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space provided1.c increased by 5 is 5 2.4 more than a number is 12 3. The product of 4 and n is 12 4. The difference of 27 and k is 15 5.8 less than 3 times x is 10 6. 3 times x increased by 8 is 20 7. a number minus 8 is 3 8. three times a number is 9 9. twice a number plus 1 is 11 10.6 less than a number is 5a. 27-k=15 b. n + 4 = 12 d. 3x+8 = 20 e. k-8=3 f. 3x-8=10 g. 2x + 1 = 11 h. c + 5 = 15 i. 4n = 12 c. c-6=15 j. 3n = 9​

Answers

Answer:

See below

Step-by-step explanation:

1. c increased by 5 is 5                       ⇒ h. c + 5 = 5 2. 4 more than a number is 12           ⇒ b. n + 4 = 12 3. The product of 4 and n is 12          ⇒ i. 4n = 12 4. The difference of 27 and k is 15    ⇒ a. 27 - k = 155. 8 less than 3 times x is 10              ⇒ f. 3x - 8 = 10 6. 3 times x increased by 8 is 20      ⇒ d. 3x + 8 = 20 7. A number minus 8 is 3                   ⇒ e. k - 8 = 3 8. Three times a number is 9            ⇒ j. 3n = 9​9. Twice a number plus 1 is 11           ⇒ g. 2x + 1 = 11 10. 6 less than a number is 5            ⇒ c. c - 6 = 15

Air is being pumped into a spherical balloon at the rate of 7 cm3/sec. What
is the rate of change of the radius at the in stant the volume equals 36π cm3
? The volume of
the sphere of radius r is (4 over PI )r power of 3

Answers

Answer:

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^3\\\frac{dV}{dt} =\frac{4}{3} ~\pi \times ~3r^2\frac{dr}{dt} \\\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} \\7=4\pi r^2\frac{dr}{dt} \\\frac{dr}{dt} =\frac{7}{4\pi r^2} \\when~V=36 \pi cm^3\\36\pi =\frac{4}{3} \pi r^3\\r^3=\frac{36\pi \times 3}{4\pi } =27=3^3\\r=3~cm\\\frac{dr}{dt} =\frac{7}{4\pi \tmes 3^2} \\\frac{dr}{dt} =\frac{7}{36 \pi } cm/sec[/tex]

Which of the following expressions is equivalent to 7 - 2 (y - 1)

Answers

Since nothing is shown, you can infer.

First to solve the expression:

1) Expand by distributing terms.

[tex]7-(2y-2)[/tex]

2) 2 Remove parentheses.

[tex]7 - 2y + 2[/tex]

3)  Collect like terms.

[tex]-2y+(7+2)\\[/tex]

4) Simplify.

[tex]-2y + 9[/tex]

The expression that is equivalent to [tex]7-2(y-1)[/tex] is [tex]-2y + 9[/tex].

Hope this helps,

- Recordofraganrok

which statement correctly compares two value?
The value of the 5 in 50.89 is 1/10 the value of the 5 in 261.58.
The value of the 5 in 50.89 is 10 times the value of the 5 in 261.58.
The value of the 5 in 50.89 is 1/100 the value of the 6 261.58.
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58

Answers

Answer:

The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58

Step-by-step explanation:

The 5 in 50.89 is in the 10's place

The 5 in 261.58 is in the 1/10's place

1/10(100) = 10

Which expression is equal to “seven more than a number multiplied by 9"?
a. 9(x + 7)
b. 7 + 9x
c. 9x - 7
d. 9 + 7x

Answers

Answer:

b

Step-by-step explanation:

a: is not because in the distribution property, the answer would be for a, 9x+63.

b: yes.

c: it's subtracting, not adding. The question states adding

d: 7 is not the one being multiplied in the question, 9 is. Therefore b is right

The explaining is not good but im pretty sure it's b..

At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500, how many tickets of each kind were sold?

Answers

Answer:

Step-by-step explanation:

A(1.00) + S(0.50) = 500

A + S = 900

S = 900 - A

A(1.00) + (900 - A)(0.50) = 500

              A + 450 - 0.5A = 500

                               0.5A = 50

                                    A = 100 adults

                                     S = 900 - 100

                                     S = 800 students

No. of students tickets sold is 800 and no. of adult tickets sold is 100.

What is linear equation in two variable ?

A linear equation has highest degree of 1 and it contains two variables generally x and y.

According to the given question At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500.

Assuming no. of students to be x and no. of adults to be y.

∴ x + y = 900...(i)

And

0.5x + y = 500...(ii)

Subtracting eqn (i) and (ii) we get

0.5x = 400

x = 800.

So, 800 + y = 900

y = 100.

Therefore how many tickets are sold is same as the no. of students and adults which are 800 and 100 respectively.

learn more about linear equation here :

https://brainly.com/question/24085666

#SPJ2

Mara is playing a game. There are two marbles in a bag. Ifshe chooses the purple marble, she will win $10. If she chooses the orange marble, she will win $200. What is the expected value of Mara's winnings from the game?

Answers

Answer:

Step-by-step explanation:

Mara has a 50% chance of getting the purple marble and 50% of getting an orange marble, since there's 2 marble; 1 purple and one orange; 1/2 = 50%

So she has a 50% chance of receiving $10 and a 50% chance of receiving the $200.

c-3=6
x+8=18
y-5=4
Please Show your Work For each problem.​

Answers

Answer:

1. 9

2. 10

3. 9

Step-by-step explanation:

c-3=6

 +3 +3

-----------

c = 9

x+8=18

  -8  -8

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

x = 10

y-5=4

 +5 +5

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

y = 9

hope this helps! :D brainliest would be very, very much appreciated!! <3

WHOEVER EXPLAINS FIRST GETS BRAINLIEST!!


Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve.


-2/5x-9<9/10

Answers

It is 9 7/5 I did this question in school lol

What is the slope of the line that passes through the points (6-8) and (10,-8)?

Answers

Answer:

The slope of the line that passes through the points would be 0

Step-by-step explanation:

Lets use the formula : y2-y1/x2-x1

In this case lets let y2 be -8 and y1 be -8

And lets let x2 be 6 and x1 be 10, that would look like..

-8-(-8)/6-10

which equals...

0/-4 = 0

We know that the slope of the line is 0

Write and expression for the senqence of operations described below.

raise 6 to the 2nd power, then subtract r from the result

Do not simplify any part of the expression.​

Answers

Raise [tex]6[/tex] to the second power, [tex]6^{2}[/tex], the subtract r from the result, that should be [tex]6^{2} - r[/tex], since we are not to simplify the expression, that's the answer.

Other Questions
Which non-income factor for a potential job would influence a person who values easy access to entertainment and culture? aJob security bWorking hours cLocation dAvailability of benefits Someone please help this is soooooo hard What makes the interlopers and the sniper diffrent? Ishans father is diabetic and the doctor has recommended him a clear liquid diet. Which food is not suitable for him- (a) Roohafza water(b) Clear chicken soup (c) Coconut water(d) Apple juice log x x + log c c = ?[tex] log_{x}\sqrt{x} + log_{ \sqrt{c} } {c}^{2} = \\ [/tex]please help me!!!!?; How would I solve this algebra question? Step by step Help, please I'll give brainless but the answer got to make sense Moshe is running late for a meeting and needs to let his coworkers know when he expects to arrive. However, Moshe lives in a state that does not allow people to hold their phones while driving. What technology can Moshe use to compose the text safely and legally What is 2/3 divided by 4/9? Figure 1 Describe how a frog grows. Why do you think the eggs are found in the water? Where do you think fertilization happens? Write as expression. The sum of 7, a number, and 8. which cost the most per tablet50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42 Name a pair of overlapping congruent triangles. (PST and QTU, STR and UTR, or RPU and RQS)Then state whether they are congruent by SSS, SAS, ASA, AAS, or HL. a rectangular patio has an area of 198.4 square meters the width of the patio is 16 meters what is the length you are taking a typing class and can now type 30 words er minute. set up a proportion to solve for the amount of time it would take you to type 400 words i dont know what to say for how i enter a room or if something is nearby the professor. also are there any tips to how to pronounce words correctly? PLEASE HELP Me! Retrieve your revised argumentative essay.b) Ask your teacher which presentation software you should use and where you should saveyour presentation as you work on it. For example, you may use Microsoft PowerPoint. Yourteacher may also have specific quidelines about the file name you should use.Step 2: Create your title slide.a) Begin by creating the title slide. This slide willensure that you receive credit for your work,but it is not actually part of your speech.Presentation Titleb) Include your presentation title, your name,your teacher's name, and the presentationdue date on the title slide.c) Remember to save your work as you go.Step 3: Create your introduction slide.a) Create the second slide by clicking on the"new slide" option (in the "home" menu ofPowerPoint). Remember that you can right-click your mouse, click on tabs, and use drop-down options to access other menus andtools.Introduction Titleb) Place the introduction text in the notes sectionbelow the slide by copying and pasting theintroduction paragraph from your revisedessay. This text will serve as the script foryour presentation.c) Use your script as a basis to create bullet points on your slide. Millions of indigenous people in the Americas died after exposure to diseases broughtby explorers from:O Europe,O Asia,O Africa,O Australia, what is comma splicing What is the measure of