Mathematics High School

f(x) = x4 − 4x3 − 4x2 + 36x − 45. This function has roots

Answers

Answer 1
x4 − 4x3 − 4x2 + 36x − 45=(x-3)(x^3-x^2-7x+15)
x=3 is root of this function
Answer 2

Answer:

the answer is 4 not three


Related Questions

Which equation is equivalent to

Answers

It is the last equation. You square both sides. 
the last equation is correct

ALGEBRAIC PROOF PLEASE HELP IT IS MY LAST QUESTION I AM STUMPED
Use the following problem to answer the question below:

Given: 3(x – 4) = 33
Prove: x = 15

3(x – 4) = 33 Given

3x – 12 = 33 A

3x – 12 + 12 = 33 + 12 B

3x + 0 = 45 C

3x = 45 D

x = 15 Division Property of Equality

What is the reason for D?

Answers

3x +0 can be replaced by 3x because of "the additive identity property of real numbers: anything plus zero is that thing."

helppppppppppppppppppppp

Answers

What you should keep in mind in this case is:
 1) Trigonometric functions.
 2) rewrite the expression
 3) Cancel similar terms.
 Note: See attached image.
 Answer:
 Cot(x)
 option 2

What is the sum of the geometric series: 
3
∑5(-2/3)^i
i=0

Answers

We use the law of the sum of the 3 first terms of the geometric sequence:
[tex]\sum_{i=0}^35\left(\dfrac{-2}{3}\right)^i=5\dfrac{1-\left(\dfrac{-2}{3}\right)^4}{1-\left(\dfrac{-2}{3}\right)}\\=5\dfrac{\left(\dfrac{3^4-2^4}{3^4}\right)}{\left(\dfrac{5}{3}\right)}\\=3\left(\dfrac{65}{81}\right)=\dfrac{65}{27}[/tex]

The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick?

A. 13.5 ft
B. 12.3 ft
C. 9.8 ft
D. 14.6 ft
E. 15.1 ft

Answers

check the picture below.

make sure your calculator is in Degree mode.

Answer:

The Golf ball from the base of the flag stick is 13.5 ft

A is correct.

Step-by-step explanation:

Please see the attachment for figure.

Let AB is height of flag stick. AB=6 ft

BC is distance of golf ball from base of the flag stick.

In ΔABC, ∠B=90°

[tex]\dfrac{AB}{BC}=\tan 24^\circ[/tex]

[tex]\dfrac{6}{BC}=0.4452[/tex]

[tex]BC=13.5[/tex] ft

Hence, The Golf ball from the base of the flag stick is 13.5 ft

A quarter circle is attached to the side of a square as shown.

What is the best approximation for the area of this figure?

Use 3.14 to approximate pi.


28.6 m²

41.1 m²

66.24 m²

116.5 m²



Answers

The area of the square is s×s
 = 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
    = 3.14 × 16/4
    = 3.14 ×4
    = 12.56 m²
Therefore, the total area is;
     = 16 +12.56
     = 28.56 m²
     ≈ 28.6 m²
-TalibShaheed
The area of the square is YxY
 = 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
    = 3.14 × 16/4
    = 3.14 ×4
    = 12.56 m²
That means, the total area is:
     = 28.56 m²
Or it will be about:
     ≈ 28.6 m²
Hope it helped!
-Gabrielle



what is the solution to the proportion 3/m=12/15

Answers

b 3.75 it is simple it is easy 
the answer 3.75 i think 

Carson’s estimate for the cost of tiling his bathroom floor is $25 plus $5 per square foot. He says that he can model the cost with a linear function. Is Carson correct? Why or why not?

Answers

Carson is correct.
 Let's write the variables first.
 Let:
 x = number of square feet of the bathroom floor.
 y = total cost in $.
 The function that best suits the problem is:
 y = 5x + 25
 Answer:
 Carson is correct.
 y = 5x + 25

A chord divides a circle into two segments true or false?

Answers

True so happy to help have a nice day 

True, it has its start and finish

what is the domain of the function y=3sqrt(x)

Answers

y=3sqrt(x)

x≥0

Because every number in the domain must yield real number outputs, set what is in the radical greater than or equal to 0.
ANSWER

The domain of the function

[tex]y = 3 \sqrt{x} [/tex]
is
[tex]x \geqslant 0[/tex]


EXPLANATION


The domain of a function refers to all values of x for which y is defined.



Since this is a square root function, we need to keep the expression under the square root sign to be greater than or equal to zero.



As soon as the expression under the root sign is less than zero, the function will not be defined.


This means that the square root of a negative number will not be a real number.



Thus the domain is
[tex]x \geqslant 0[/tex]


or

[tex][0, \infty )[/tex]

which term describes the red curve of the figure below?

Answers

A. Hyperbola
Hyperbola is where there are two curves (one up, one down)

Answer:

A) Hyperbola.

Step-by-step explanation:

Given : Figure .

To find : Which term describes the red curve of the figure below.

Solution : We can see from the given figure two red curve  up and down .

Hyperbola : A hyperbola is two curves that are like infinite bows.

Therefore, A) Hyperbola.

COULD U PLEASE PLEASE HELP ME !!!!!!!!!!!
BRAINLIEST AVAILABLE

Answers

The first one is correct

Choose the right answer. If the distance on a map from point R to point T measures 3.0 inches and the scale is 1 inch = 0.5 miles, what is the distance in miles from point R to point T? ______ miles
A. 6.0
B. 3.0
C. 1.5

Answers

The answer is c because when you multiply 3.0 by 0.5 I️t gives you 1.5

Answer: The distance from point R to point T is 1.5 miles.

Step-by-step explanation:

In the map, the scale is,

1 inches = 0.5 miles,

3 inches = 3 × 0.5 = 1.5 miles,

Thus, in the map 3 inches shows 1.5 miles,

Since, in the map, the distance from point R to point P = 3 inches,

Thus, the actual distance from point R to point P = 1.5 miles.

⇒ Option C is correct.

HELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELP

Answers

Your answer would be 37.5%

There is an old riddle about a frog at the bottom of a 20-foot well. if he climbs up 3 feet each day and slips back 2 feet each night, how many days will it take him to reach the 20-foot mark and climb out of the well?

Answers

For this case what we are going to do is write step by step the equation of the line
 f (x) = mx + b
 We have:
 20-foot well:
 f (x) = mx + 20
 if he climbs up 3 feet each day and slips back 2 feet each night:
 f (x) = - 3x + 2x + 20
 f (x) = - x + 20
 When it reaches 20 feet we have f (x) = 0:
 f (x) = - x + 20
 0 = -x + 20
 x = 20 days.
 Answer: 
 It will take him 20 days to reach the 20-foot mark and climb out of the well

2/5 of the children in a club are girls,if there are 24 boys,how many children are there altogether?how many more boys than girls are there

Answers

2/5 are girls, therefore 3/5 are boys

3/5 = 24
1/5 = 24 ÷ 3 = 8
2/5 = 8 x 2 = 16

Altogether = 16 + 24 = 40 

24  - 1 6 = 8

There are 40 children altogether
There are 8 more boys than girls.


8 More Boys

2/5 = 16/40
24 = 3/5

24 - 16 = 8

Therefore, There Are 8 More Boys Than Girls.

a fair cube is used in a game . the face of the cube are labeled 1 through 6 . what is the probability of a player rolling a number grater than 4 ?

Answers

There are six equally possible outcomes to get: 1, 2, 3, 4, 5, 6. The probability to roll a number greater than 4 is equal to the probability to get 5 or 6, two of the six possible outcomes. Thus the probability is 2/6=1/3.

Which term can be combined in the expression below? check all that apply. 5/6a - 2b - 16.3 + b/12 + c - 0.9b

Answers

the answers are options 2, 4, and 6.

Answer:

Option 2nd , 4th and 6th correct

[tex]-2b[/tex], [tex]\frac{b}{12}[/tex] and [tex]-0.9b[/tex]

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Given the expression:

[tex]\frac{5}{6}a-2b-16.3+\frac{b}{12}+c-0.9b[/tex]

Combine like terms;

[tex]\frac{5}{6}a+b(-2+\frac{1}{12}-0.9}-16.3+c[/tex]

Simplify:

[tex]\frac{5}{6}a-2.81666667b-16.3+c[/tex]

Therefore, the  term can be combined in the given expression is,

[tex]-2b[/tex], [tex]\frac{b}{12}[/tex] and [tex]-0.9b[/tex]

what is the classification for this polynomial?

4

Choices:
A. Monomial
B. Binomial
C. Trinomial

Answers

well, is just a number 4 all by its lonesome, just a bare constant in this case, however, that makes it a "term".

a polynomial can be name by how many terms in it, POLYnomial, POLY=many,  now, this is just one, MONO=one, MONOmial.

A regular pyramid has a _____ base and a vertex over the center of the base.

Answers

A regular pyramid has a regular polygon base and vertex over the center of the base.

Regular Polygon~~~~ APEX

Which expression is equivalent to (b^n)^m

Answers

C
When the exponents are set up like that you multiply them. 

Answer:

C. [tex]b^{n\cdot m}[/tex]

Step-by-step explanation:

We have been given an expression [tex](b^n)^m[/tex]. We are asked to find the equivalent expression to our given expression.

Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we can write our given expression as:

[tex](b^n)^m=b^{n\cdot m}[/tex]

Therefore, option C is the correct choice.

A) –6n + 2mn – 25np

B) –6n + 2m – 25np

C) –6n – 2mn + 25np

D) –24n + 8mn – 100np

Answers

1/4 n(-24 + 8m - 100p) = -6n + 2mn - 25np (Answer A)
Hey there! 

Since we have different variables and we CANT combine our like terms of this problem, we would have to do them separately (but multiply everything by [tex] \frac{1}{4} n[/tex] ) 

[tex] \frac{1}{4} n (-24 + 8m - 100p )[/tex]

[tex] \frac{1}{4}n(-24) \\ \\ \\ \frac{1}{4}n (8m) \\ \\ \\ \frac{1}{4} n (100p)[/tex]

Your answer: [tex]-6n + 2mn + 25np[/tex] ( option A. seem closer) 
 
Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

solve proportion 12/p = 36/45

Answers

12 x 45 / 36 is 15. p=15

The percent of the discount in the problem above is 15%. What percent of the original bill is Chumani's bill? How could you solve the problem using this percent?

Answers

15%= 0.15

That’s all I know about this problem but was there something else? Like the actual total of Chumani’s bill?

Chumani's bill represents 85% of the original bill after a 15% discount is applied. The discounted amount can be found by multiplying the original bill by 0.85.

If the discount on an item is 15%, and Chumani is paying after this discount has been applied, we want to find out what percent of the original bill Chumani's bill is. To do this, we subtract the discount rate from 100%. So, 100% - 15% = 85%. Thus, Chumani's bill is 85% of the original bill.

To calculate the discounted bill, you multiply the original bill amount by 0.85 (which represents 85%). If the original bill was, for example, $100, the calculation would be $100 x 0.85 = $85. So, Chumani would pay $85, which is 85% of the original bill amount.

If two polygons are similar then the corresponding sides are equal and the corresponding angles are proportional. True or False?

Answers

We can say that two polygons are similar if they have the same shape as the other but they are jut different in size. Even when the other polygon is flipped over or rotated, the shape still remains similar. Two polygons are considered similar only if their corresponding sides are proportional and their angles must be congruent. 

If the question is phrased like that however, your answer would be false because the sides are not equal, they are proportional. The angles are not proportional, they should be congruent or equal.

Daria walked 1 2/5 miles this morning and 2 3/10 miles this afternoon. How many miles did Daria walk in all?

Answers

the answer is 3 7/10 miles 

In all, means add up
1 2/5 + 2 3/10
rewrite into improper fractions
7/5 + 23/10
To add, you must have the same denominator
in this case, multiply the first fraction by 2 to get the denominator to 10
7*2/5*2
14/10

now solve
14/10 + 23/10
37/10

Now you can rewrite this to a mixed number
3  7/10

She walked 3  7/10 miles total of the day.

Hope this helps

Can someone please explain this to me? I keep getting -infinity as the answer.

Answers

There is an indeterminate form: infinity/infinity. To solve it, you can use the infinite comparison method. First, you have to identify which has the highest degree term: whether the numerator or the denominator. In this case, it is the numerator, which has the negative term of degree 4: -7x ^ 4. Then, the result is -∞.

 Therefore, the answer is the last option: Does not exist.

solve 30 - 9.8x

A.) x = 39.8
B.) x = 20.2
C.) x = 3.06
D.) x = 0.33

Answers

30 - 9.8x
x = 30 / 9.8
x = 3.06

Answer is C

Answer: x = 3.06

Step-by-step explanation:

You do 30 divided by 9.8 and you get 3.06

The price of a share of stock started theday at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?

Answers

$32  because 37-4+1-7+4=32
it went up $5 total but went down $10 so you take the base number and subtract 5 from it
(because 10-5=5)
so the answer is $32

How many possible outcomes would there be if three coins were each tossed once?

Answers

the answer is 6 because there is only 2sides to a coin and there are three coins so you would times 3by 2
Other Questions
What is an "at risk" driver? A. A driver who is following all rules properly B. A driver who is listening to the car stereo C. A driver who is impatient with traffic, aggressive, and impulsive D. A driver who is content with the driving situation ROYGBIV is an? a.acronymic sentence. b.acronymic abbreviation c.flashcard d.none of these IT IS B!!!!! "Bicycling by young women has helped to swell the ranks of reckless girls who finally drift into the standing army of outcast women of the United States," wrote Smith in a resolution issued by her group, the Women's Rescue League. The bicycle is the devil's advance agent morally and physically in thousands of instances." Smith's resolution called for "all true women and clergymen" to join with her in denouncing the bicycle craze among women as "indecent and vulgar." Wheels of Change, Sue Macy What effect does the use of words with strong connotations have in this passage? The words cause people to feel bad for women cyclists and support their right to ride. The words create anger and fear in people and persuade them to speak against womens right to ride bikes. The words create a comical picture of female bicyclists and cause people to not take the issue seriously. An athlete prepares to throw a 2.0-kilogram discus. His arm is 0.75 meters long. He spins around several times with the discus at the end of his out-stretched arm so that the discus reaches a velocity of 5.0 m/s. What is the centripetal force acting on the discus?A.9.4 NB.14 NC.27 ND.66 N A dog, a girl, and ____________ are all of the characters in the novel that I'm reading. So far, it's a little slow, but I'm told that it gets better. Fill in the correct answer. A) then there are two boys B) two boys are in it too C) two boys D) two boys in addition Stress management skills are techniques used to help you cope and to prevent or lessen harmful effects produced by the stress response.true or false? What caused the Caribbean islands to have varying landforms Which sentence should be revised for clarity? In the years following World War I, there was a great deal of anti-immigrant sentiment in the United States. As a result, the US government enacted various laws that restricted immigration. The Immigration Act of 1924 established a quota system. This law stated that no more than two percent of the population of each nationality living in the United States could be admitted as immigrants. Eliminating immigration from Asia, it also limited immigration from Europe, Russia and Italy in particular. Providing consolation, guidance, and hope to people confronting existential questions defines the concept of In the process of nuclear fusion, large amounts of energy, at temperatures of approximately 120 million Kelvin, are required to join two nuclei into a single, heavier nucleus. Why does the process of fusion require so much energy in order to take place? Which of the following would make the best subject for an argumentative essay?Select one:A. the process of becoming an astronautB. the components of a space shuttleC. the history of the international space stationD. the importance of studying life on Mars Annie's cafe borrows $6100 at 6% for 290 days. Find the total amount that must be repaid after 290 days. (Use a 365 day year.) To get revenge on the pizza parlor burning his pizza and not reimbursing him for it, David returned to the pizza parlor after-hours and set it on fire. After both the police and fire department investigated, they arrested David. Which type of crime will David be charged with Derrick lives 3 miles from the park. He rode his bicycle to the park at an average speed of 9 miles per hour. How many minutes did it take Derrick to ride his bicycle to the park? Which element best represents Twentieth Century philosophy? Liam is with a group of friends who are competing to see who can drink the most alcohol. Which statement can help Liam assertively refuse binge drinking? A."I guess it won't hurt, just don't tell my brother."B."No way. I don't want to spend my night being sick."C."I'm not sure if I should or not."D.I already know I could drink you guys under the table. I dont need to prove it to you. One of the most important industrial sources of ethanol is the reaction of steam with ethene derived from crude oil: c2h4(g) + h2o(g) c2h5oh(g)h o rxn = 47.8 kjkc = 9.00 103 at 600. k at equilibrium, the partial pressure of ethanol (c2h5oh) is 200. atm and the partial pressure of water is 400. atm. calculate the partial pressure of ethene (c2h4). 30 POINTS + BRAINLIEST! The source of Earth's magnetic field is _____. solid magnetized iron in the core liquid magnetized iron in the core liquid iron in the core liquid metallic hydrogen in the core look at the first paragraph and notice the description of the joyful Northerners at the end of the civil War. How is this similar to Act 1 of The Tragedy of Julius Caesar?