Find the polynomial function of degree 3 such that f(2)=24 and x-1, x and x+2 are factors of the polynomial

Answers

Answer 1

Answer:

f(x) = 3x^3 + 3x^2 - 6x.

Step-by-step explanation:

Let:

f(x) = x(x - 1)(x + 2)

= x(x^2 + x - 2)

= x^3 + x^2 - 2x - this might be the answer or it might be some multiple of this.

Now f(2) = 24 so

24 = a(2^3 + 2^2 - 2(2))  where a is a constant.

24 = 8a

a = 3

So the function is

3( x^3 + x^2 - 2x)

=  3x^3 + 3x^2 - 6x.


Related Questions

GET20 POINTS BY ANSWERING THE QUESTION!

ARE PRIME AND CO-PRIME NUMBERS SAME ? GIVE RIGHT ANSWER AS SOON AS POSSIBLE.​.

Answers

Answer:

[tex]yes \: \\ PRIME \: AND \: CO-PRIME \: NUMBERS \: are \: the \: SAME [/tex]

Prime numbers are numbers which are divisible by either 1 or itself. Co prime numbers are numbers which are not divisible by one number

The total cost of a cab ride can be represented by the function f(x) = 3x + 2.5, where x is the number of miles driven
Estimate how much the cab will cost if the cab ride is 8 miles and 25 miles.

Answers

Answer:

8 miles: $26.50

25miles: $77.50

Step-by-step explanation:

Substitute (x) for the number of miles

8 miles: f(x)=3(8)+2.50

=24+2.50

=26.50

25miles: f(x)=3(25)+2.50

=75+2.50

=77.50

The price of lunch increased from $4.00 to $5.00 . What is the percent increase?

Answers

Answer: 1% ?

Step-by-step explanation:

Answer:

That is a 25% increase

Step-by-step explanation:

Hope this helps!!

Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this population is orange (LaTeX: \piπ=.45).

What is the probability that a sample proportion of orange candies will be between .35 and .55?

Answers

Answer:

The  probability is  [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  175

   The population proportion is  p =  0.45

   

Generally the mean of the sampling distribution is  [tex]\mu_{x} = 0.45[/tex]

 Generally the standard deviation is mathematically represented as  

        [tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]

=>      [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]

=>      [tex]\sigma_{x} = 0.0376[/tex]

Generally the probability of  that the sample proportion of orange candies will be between 0.35 and  0.55 is  

      [tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]

=>   [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]

Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]

So

    [tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]

=>  [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]

From the z-table  

    [tex]P( Z< 2.6595 ) = 0.99609[/tex]

and

    [tex]P( Z< - 2.6595 ) = 0.0039128[/tex]

So

   [tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]

=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]

5 = w/2.2 (This means w is divided by 2.) *

Answers

Answer: w = 11

Step-by-step explanation: 5x2.2=11 so 11/2.2=5.

Answer:

11

Step-by-step explanation:

khan said so

can you help please/
?

Answers

Answer:

B.

Step-by-step explanation:

Hope this helps!!

I think the answer would be B:)

Can u please help I will do Brainleyist

Answers

Answer:

the answer is B this other guy messed up his math trust me i know it's right

Step-by-step explanation:

if you add up all the numbers it equals 27 squar units

PLEASE HELP!!!
Please help me answer the questions that are circled, I really need help!

Answers

Answer:

Here:

Step-by-step explanation:

23. f(x) = [tex]\sqrt{x}[/tex] and g(x) = [tex]x^2-5x[/tex]

24. f(x) = [tex]x^2[/tex] and g(x) = [tex]x^3+1[/tex]

28. f(x) = [tex]e^x[/tex] and g(x) = [tex]sinx[/tex]

29. f(x) = [tex]cosx[/tex] and g(x) = [tex]\sqrt{x}[/tex]

Basically, you try to find a function contained inside a function if that makes sense. For example in question 23, g(x) itself is a function =  [tex]x^2-5x[/tex]. Same with f(x) = [tex]\sqrt{x}[/tex] . In this case, when we try to fo f(g(x)), we are basically replacing x in the f(x) function by the equation in g(x). Hope this makes sense.

HELP ASAP!! WILL MARK BRAINLIEST!

Question 8 Multiple Choice Worth 5 points)
(03.04 MC)
Solve for x:

(-4/3) x -6 = 26

Answers

Answer:

X = -24

Step-by-step explanation:

Using the inverse:

26 + 6 = 32

x = 32 / (-4/3) = -24

Researchers at Mississippi State University were studying the impact of different environmental sounds on ecosystems. For their study, they created 333 similar ecosystems in their lab containing a variety of insects and plants. They randomly assigned each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks. At the end of the study, they measured how successful the species were in each ecosystem. What type of experiment design is this?

Answers

Answer:

The experiment design used in this case is the between-subjected design.

Step-by-step explanation:

Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.

In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.

Then after two weeks period they measured how successful the species were in each ecosystem.

The experiment design used in this case is the between-subjected design.

Answer:

A completely randomized design

Step-by-step explanation:

The 3 ecosystems were each randomly assigned a treatment. They were not grouped in any way with random assignment happening within each group, so this is a completely randomized design. (From Kahn)

The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot point the plane in order to fly straight W?

Answers

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

Round 17.68694 to the nearest tenth

Answers

Answer:

17.7

Step-by-step explanation:

The tenths place is the very first value after the decimal. The number 17.68694 rounds up to 17.7, because .68 is closer to .7 than it is to .6.


25 POINTS
Look at the image, read, and choose the correct option.
Monday, Feburary 7th Granada
Dia de la Independencia
Friday, Feburary 27th República Dominicana Dia de la Independencia
Tuesday, March 14th San Vicente y las Granadinas Dia de los Heroes
Sunday, March 17th Montserrat
Fiesta de San Patricio
Thursday, March 18 Aruba
Dia de la Bandera y del Himno nacional
¿Qué dia es el Día de la Independencia en Granada?
O Es el Viernes, 27 de Febrero
O Es el 7 Lunes de Febrero
O Es febrero, el viernes 27
O Es el lunes, 7 de febrero

Answers

Answer:

Es el lunes, 7 de febrero.

Step-by-step explanation: i took the test and got it right

Use the word SCHOOL to answer this question.
If the letters of this word were written on paper and then cut into squares with one letter
per square, what is the probability of this event?
P(consonant)
1
3
1
2
1
6
2
3

Answers

Answer:

2/3

Step-by-step explanation:

4/6 * 100% = 66.66% = 2/3

Solve for
-1/7x = -2

Answers

Answer: I hope this is correct -9

Step-by-step explanation: This is right

Which is the completely factored form of 18x4 – 42x3 + 24x2?
3x(3x - 4)(2x - 2)
3x2(3x - 4)(2x - 2)
6x(3x – 4)(x - 1)
6x²(3x - 4)(x - 1)

Answers

Answer:

D

Step-by-step explanation:

The completely factored form is 6x² (3x - 4) (x - 1).

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18[tex]x^4[/tex]– 42x³ + 24x²

Now,

The common factor of 18, 42, and 24 is 6.

And x² is common to all the terms.

So,

6x² (3x²– 7x + 4) _____(1)

Now,

(3x²– 7x + 4)

3x² - (4 + 3)x + 4

3x² - 4x - 3x + 4

x(3x - 4) - 1(3x - 4)

(3x - 4) (x - 1) ______(2)

Now,

From (1) and (2) we get,

6x² (3x - 4) (x - 1)

Thus,

6x² (3x - 4) (x - 1) is the completely factored form.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6


1. Lee Johnson wants to join Planet Fitness. It cost $15 starting fee, and $11 per session. Lee has
paid $400. How many sessions can he attend?

Answers

What’s the answer’s???

the equation y = 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional from the graph of the equation, and you can find the constan of proportionality.

Answers

Answer:

Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality

If x and y are proportion, then y = k x, where k is the constant of proportionalityThe proportional relationship represented graphically by a line passing through the origin point (0, 0)

Let us solve the question

∵ y = [tex]\frac{1}{5}[/tex] x

→ It the same as the form of the proportional equation above

∵  [tex]\frac{1}{5}[/tex]  is a constant

∴ y is the product of x and constant

y =  [tex]\frac{1}{5}[/tex] x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = [tex]\frac{1}{5}[/tex] (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = [tex]\frac{1}{5}[/tex] x

∴ k =  [tex]\frac{1}{5}[/tex]

The constant of proportionality is [tex]\frac{1}{5}[/tex]

What is 12 plus 364 divided by 2/7?

Answers

Answer:1316

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

I want explaintation

The rectangle below is enlarged using a scale factor of 1.5. What will be the new length and width of the rectangle?

Answers

Answer: length = 4.5 m, width = 3 m

Step-by-step explanation:

When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.

length = 3 * 1.5 = 4.5 m

width = 2 * 1.5 = 3 m

Expression for divide the difference between 1200 and 700 by 5

Answers

Step-by-step explanation:

(1200-700)/5

=500/5

=

The expression results to 100.

What is Expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given:

divide the difference between 1200 and 700 by 5

so, mathematically

(1200- 700)/5

= 500 /5

= 100

Hence, the expression results to 100.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ5

What is the common ratio between successive terms in a sequence?
1.5, 1.2,0.96, 0.768, ...

Answers

9514 1404 393

Answer:

  0.8

Step-by-step explanation:

The ratio of the first two terms is ...

  1.2/1.5 = 4/5 = 0.8

That is also the ratio of successive adjacent terms.

  0.96/1.2 = 0.768/0.96 = 0.8

The common ratio is 0.8.

The price of a train ticket is 155.00 What would it be if you had a 75% discount

Answers

Answer:116.25

Step-by-step explanation:


It would be 38.75


Hope this helps ❤️

3. Jean purchased 6 yards of felt to make banners. Each banner requires 1 1/2 yards. How many
banners can she make?
A. 2
B. 4
C. 6
D. 9

Answers

B.

Explanation:

1.5+1.5=3+1.5= 4.5+1.5= 6

(How much 1.5 is there?) (1.5=1 1/2 btw)

The
perimeter of
rectangle is 36 cm
If its width is 7cm Exaluate to its length

Answers

Answer:

11

Step-by-step explanation:

Which expression is equal to -12 1/2 + 5 3/4

Answers

Answer: A

Step-by-step explanation:

It wants you to make it an in improper fraction

I’m confused how to do ratios

Answers

Answer:

i will explain it to you

Step-by-step explanation:

Me too I don’t even know them it’s hard the answer probably is something

ANSWER FAST PLZ FOR BRAINILIST

Answers

Answer:The 1st one

Step-by-step explanation:

2. measure of an angle that is supplementary to

Answers

answer: 99°

explanation: first, we need to find angle T. we know that angle T and angle R are vertical angles, which means they’re the same. therefore, we solve the equation for x by doing angle T = angle R:
3x + 36 = 6x - 9
subtract 36 on both sides
3x = 6x - 45
subtract 6 on both sides
-3x = -45
divide both sides by -3
x= 15
then, plug in the value of x in 3x+36 to get angle T:
3(15) + 36= 81°
we found that angle T is 81°.
now, we need to find the supplementary angle of angle T. supplementary angles add up together to have a sum of 180°. to find the supplementary angle, subtract angle T from 180°:
180 - 81 = 99°
there we have the answer!

2. Four out of nine dogs weigh less
than 20 pounds. What is the decimal
equivalent for the number of dogs
weighing under 20 pounds?
A 0.2
B 0.24
C 0.2
D 0.49

Answers

Answer:

0.49

Step-by-step explanation:

The repeating decimal equivalent would be 0.44, and round it to 0.49

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