which expression defines function h?

Which Expression Defines Function H?

Answers

Answer 1

Answer:

[tex]h(x) = (\frac{f}{g})(x)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^3 + 9x^2 -12x[/tex]

[tex]g(x) = x - 1[/tex]

[tex]h(x) = 3x^2 + 12x[/tex]

Required

What defines h(x)

Looking at the degree of f(x), g(x) and h(x), we have:

[tex]h(x) = (\frac{f}{g})(x)[/tex]

See proof

[tex]h(x) = (\frac{f}{g})(x)[/tex]

This gives:

[tex]h(x) = \frac{f(x)}{g(x)}[/tex]

[tex]h(x) = \frac{3x^3 + 9x^2 -12x}{x - 1}[/tex]

Factorize

[tex]h(x) = \frac{(3x^2 + 12x)(x - 1)}{x - 1}\\[/tex]

[tex]h(x) = 3x^2 + 12x[/tex]


Related Questions

Can someone help! This is due right now and I'm a little confused! Thank you!

Answers

Answer:

a) 10 cucumbers

b) two fifth x, or 2/5x

c) 15 vegetables

no links Pwease help this is very important I will give you brain thing if its correct ♡

Answers

Answer:

B, C

Step-by-step explanation:

I need help answering this question please help

Answers

40

Or at least that what my calculator says.

A countries population in 1993 was 253 million. In 1999 it was 237 million. Estimate the population in 2007 using the exponential growth formula. round your answer to the nearest million.
Note: When solving for k, round to four decimal places.

Answers

Answer:

240 million

Step-by-step explanation:

I took the application

Find the surface area of the following figures.

with solution please. T-T​

Answers

Answer:

I will do 1 2 3 and 5 for you:

Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.

There are 6 sides of a cube so,

5 x 5 = 25 area of one flat surface.

Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1

We need to find area of the two circles:

3(given radius)^2(radius being squared) x 3.14(pi)

3 x 3 = 9

9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)

28.26 x 2 = 56.52 (area of 2 circles)

Now we need to find the round surface, but first we need to find circumference:

2 x 3.14 x 3 = 18.84

18.84(circumference) x 5(height) = 94.2 (area of round surface)

Now lets add all the given areas to find surface area:

56.52 + 94.2 = 150.72 cm^2 is your answer for question 2

2 x 4 = 8

8 x 2 = 16

4 x 5 = 20

20 x 2 = 40

2 x 5 = 10

10 x 2 = 20

Add all given areas:

16 + 40 + 20 = 76 cm^2 is your answer for question 3

452.16 cm^2

4 x 3.14 x 6^2

4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4

8 x 4 = 32, 32 divided by 2 = 16

since there are 4 sides,

4 x 16 = 64

Don't forget the bottom!

4x 4 = 16

Lets add the given areas:

64 + 16 = 80 for question 5

Find the distance of the two given points (1,5) and (4,10)

Answers

Answer:

5.831

Step-by-step explanation:

Distance between both given points=Lenght=5.831

Please help me. Photo provided

Answers

C is the answer to the question

Can someone help me with this part A: Members of a high school sports team are selling two popular items for a fundraiser:
candy bars and bags of chips. They earn $0.75 for every candy bar they sell and $0.50 for every
Dag of chips. The members want to earn at least $100 from all sales. The members of the sport
team estimate that they won't be able to sell more than 200 units in total.
Part A: Select all the inequalities that model the constraints for this situation, where x
represent the number of candy bars sold and y represent the number of bags of chips.
A. x 20
B. y20
C. x +y s 100
D. x + y < 200
E. 0.75x + 0.50y
100
F. 0.50x + 0.75y > 100

Answers

An

Step-by-step explanation:

Cx+y s 100

Answer:

All the inequalities that model the constraints for this situation:

(d) x + y < 200 ;

(e) 0.75 x + 0.50 y ≥ 100

Step-by-step explanation:

What is inequality ?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As, x represent the number of candy bars sold & y represent the number of bags of chips sold.

It is given that,

price for one candy bar =  $0.75

also, price for one dag of chips = $0.50

So, price for 'x' candy bar =  $0.75x

also, price for 'y' of chips = $0.50 y

Is is mentioned in question, the sale of candy bar and bag of chips shoud be atleast $100.  

the First ineqaulity be,

0.75 x + 0.50 y ≥100

(which should the sales of candy baar and dag of chips be equal to 100 dollar or greater than 100 dollar)

Now, the second situation

Again, it is mentioned in the question is number of units (candy bar and dag of chips)  should be not more than 200 units.

the second inequality be,

x+ y < 200

(which shows that number of candy bar and dag of chips should be less than 200 units.)

All the inequalities that model the constraints for this situation

(d) x + y < 200

(e) 0.75 x + 0.50 y ≥100

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2


write the percent of each figure
that is shaded.

Answers

Answer:

1. 21%   2.  70%

Step-by-step explanation:

1. 21 out of 100 are filled in

2. 7/10 are filled in

Giving brainliest ; What is the mean of the data set? {20,1,14,14,9,8} Enter your answer in the box.

Answers

Answer:

11

Step-by-step explanation:

(20 + 1 + 14 + 14 + 9 + 8) / 6

= 66 / 6

= 11

How do the angles and side lengths of the preimage relate to the corresponding angles and side lengths of the image of a dilation with a scale factor not equal to 1?

Answers

Answer:

The angles are proportional and the side lengths are proportional.

Step-by-step explanation:

Savaas Realize

10x -5 = 15
O X = 10
X =-1
x = 2
O X= -2

Answers

Answer:

0

Step-by-step explanation:

Anything multiplied by 0 is 0. sorry if i did it wrong

Multiply 4/5 by 10 ​, and then multiply that product by 17 .

Answers

Answer:

your answer is 406.

Step-by-step explanation:

4/5 x 10 will equal to 8. 8 times 17 equals 406.

Hey luvs!

The endpoints of AB are A(1,4) and B(5,-1). What are the coordinates of the point that divides AB in the ratio
2:3?

Answers

Answer:

I don't know I'm sorry.............

Find the surface area and volume of the figure. Round to the nearest tenth.

Answers

surface area = 374 cm^2 and volume 384 cm^3. I think . try to go ok calculator.net

A bank is offering 3.5% simple interest on a savings account. If you earned $525 in interest
in 2 years, how much did you deposit in the savings?
O $7,500
O $8,000
O $7.250
$7.000

Answers

Answer:

$7500

Step-by-step explanation:

Given

[tex]I = 525[/tex]

[tex]R = 3.5\%[/tex]

[tex]T =2[/tex]

Required

The Principal

This is calculated using:

[tex]I =PRT[/tex]

Make P the subject

[tex]P = \frac{I}{RT}[/tex]

So, we have:

[tex]P = \frac{525}{3.5\% * 2}[/tex]

[tex]P = \frac{525}{7.0\%}[/tex]

[tex]P = 7500[/tex]

is 2 a solution to the equation 1/2 x 4 = 5 ?​

Answers

Answer:

yes it is good luck with your work

question number nine answer

Answers

Answer:9

Step-by-step explanation:

Answer:

I think it's either A or D

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

The second answer choice

Step-by-step explanation:

The pyramid shown is a triangular pyramid. A triangular pyramid consist of 4 faces; 1 triangular base and 3 triangular lateral faces.

Hence, the correct answer would be the second choice.

The number of red tiles in a sack is 5 more than 3 times the number of green tiles in the sack. The
sack contains 35 red tiles, How many green tiles does the sack contain?
Pls help I need this pls help have a good day

A.12
B.10
C.9
D.not here

Answers

Answer:

B. 10

Step-by-step explanation:

10 x 3 = 30+5 = 35

Qu
Peter hired a cleaning company to clean his house. The cleaning company charges a
fixed fee of $15 plus $17 per hour to clean a house.
a. Write an equation that can be used to determine, c, the total amount in dollars that
the cleaning company charges to clean a house in h hours.

Answers

To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.

C = 17h + 15

I will go potty now thx​

Answers

ummmm tmi but ok... 0-0

What is the distance between the points (6, 4) and (-3, 17)?
A) 22
B) √250
C) 125
D) √88

Answers

D IS THE CORRECT ANSWER

A radioactive substance with initial value of 800g decays according to the exponential model A= 800e^(kt). After 10 years, only 400g of the substance remains. Find the value of k. Round your answer to the nearest thousandth. ​NO LINKS!!!!

Answers

Answer:

k ≈ - 0.069

Step-by-step explanation:

Given

A = 800 [tex]e^{kt}[/tex]

Substitute A = 400 and t = 10 into the equation

400 = 800 [tex]e^{10k}[/tex] ( divide both sides by 800 )

0.5 = [tex]e^{10k}[/tex] ( take the ln of both sides )

ln [tex]e^{10k}[/tex] = ln0.5

10k lne = ln0.5 [ lne = 1 ]

10k = ln 0.5 ( divide both sides by 10 )

k = [tex]\frac{ln0.5}{10}[/tex] ≈ 0.069 ( to the nearest thousandth )

Answer:

Step-by-step explanation:

400 = 800 * e^(k*t)

What are the units of t? I'm taking it as years.

Divide by 800

400/800 = e^(k*10)

1/2 = e^(k*10)

ln(1/2) = ln(e)^(k*10)

ln(1/2) = k*10 * ln(e)

ln(e) = 1

-0.69314 = k*10

-0.069314 = k

Check

A = 800 e^(-0.069314*10)

A = 800 e^(-0.69314)

A = 800 * 0.50000359

A = 400.0028722

Which is close enough to 400

2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work.

Answers

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0

Jovi distributed 3(n+2) and got 3 x n + 3 x 6 is his answer correct

Answers

Answer:

Step-by-step explanation:

since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and

3n + 6

next subtract the 6 and add the 6 to the other side

3n - 6 = 6

3n = 6

n = 2

HELP WITH THIS ASAP!

Answers

Answer:

Hi, there your answer will C. 85pi ft^2

Step-by-step explanation:

pi(5)(12)+pi(5)^2

60pi+25pi

85pi ft^2

Hope this helps :)

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis​ test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d​3.125, ​2.911, and n​8, and that you wish to test the hypothesis below at the​ 10% level of significance. What decision rule would you​ use? ​: 0 against ​: 0

Answers

Answer:

Decision Rule

The critical region for one tailed test with 7 d.f is t > 1.415 for

H0 : ud ≤ 0 against the claim Ha: ud > 0

Step-by-step explanation:

The data given is

Population mean = ud= 0

Sample difference mean = d`= 3.125

Sample difference standard deviation = sd= 2.911

Sample size= n= 8

Formulate the null and alternate hypotheses as

H0 : ud ≤ 0 against the claim Ha: ud>0

The significance level ∝= 0.1

The degrees of freedom = n-1 = 8-1 = 7

The critical region for one tailed test with 7 d.f is t > 1.415

The test statistic is

t= d`- ud/ sd/ √n

Putting the values

t= 3.125-0 / 2.911/√8

t= 3.125/1.0292

t= 3.036

since the calculated value of t falls in the critical region we reject the null hypothesis .

A bag contains eight white marbles, six red marbles and four blue marbles.
How many blue marbles must be added to the bag so that the probability
of choosing a blue marble is 1/2?
a. 6
b. 5
c. 10
d. 0

Answers

Answer:

c) 10

Step-by-step explanation:

you need to add the white and red marbles which would be 14.

then you subtract 14 by the amount of blue marbles.

Two parallel lines cut by a transversal are shown. What is the value of X, in degrees?

Answers

9514 1404 393

Answer:

  x = 15°

Step-by-step explanation:

Same-side interior angles are supplementary.

  (4x° +12°) + 108° = 180°

  4x° = 60° . . . . . . . . . . . . . . subtract 120°

  x = 15° . . . . . . . . . . . . divide by 4

Other Questions
Write a short essay about your experience with art this year. Answer the following question in your essayWhat is the most important thing you learned this year from making art?(You can write about something you learned about art or you can write about something you learned about yourself. Or Both.) Plsss help. giving extra points if correct. Someone help me ASAP please and thank you Please help!!! Will give brainliest! plzzzz help for a brainly Customer relationship management is used for all of the following EXECPTCan anyone help me with this question? Please and thank you.A. to target highly valued customers.B. to identify all customers who shop with the company.C. to develop strong customer relationships.D. to create offers tailored to specific customers. please help ill give brainliest!!! thanks Using the allele symbols in the table, identify the genotype of a guinea pig that is recessive for hair length, heterozygous for hair color, and homzygous dominant for hair texture. The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a ________. Please help me with this homework Who does the injustice effect? (list groups of people)Minority groups like Blacks, Asians, and Latinos. People under 25. Men more than women. The poor A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Round your answer to one decimal place. a visual display of topic is called? Part BHow does the section "Supply-Side Strategies for WaterSuppliers" contribute to the structure and organizationidentified in Part A?It explains how accounting for water and water losscontrol are methods to achieve sustainability,It debates whether water loss control or accountingfor water is more effective to achieve efficiencyIt describes how and when water meters were firstused to measure water usageIt provides detailed instructions for using a watermeter and locating where leaks are most likely tooccur An incline plane is 12-m long and 4-m high. A block is pulled up the ramp with a spring scale. The reading on the spring scale is 70-N. How many Newtons would the block actually weigh if you had to lift it the 4-m height? complete this(will give brainlyist) A pack of 4 chocolate bars costs 1.20What is the price per unit?what is it? Which graph best represents the solution to the system of equations shown below?y = -2x + 14y = 2x + 2 What is the total kinetic energy of a hoop of radius 1 m and mass 2 kg that rolls at anangular velocity of 1 rad/s? Why was the Immigration and Nationality Act of 1965 necessary? A: The United States did not have enough workers to support industry.B: Existing American immigration policies were discriminatory. C: Too many immigrants were coming to the United States each year. D: The legislation setting immigration policy had expired.