Mathematics College

f(x) =x^6-3x+9
g(x)=3x^3+2x^2-4x-9
Find (f-g)(x)

F(x) =x^6-3x+9g(x)=3x^3+2x^2-4x-9Find (f-g)(x)

Answers

Answer 1

Step-by-step explanation:

(f-g)(x)=

[tex]x ^{2} - 3x + 9 - (3 {x}^{3} + 2 {x}^{2} - 4x - 9) = \\ x ^{2} - 3x + 9 - 3 {x}^{3} - 2 {x}^{2} + 4x + 9 = \\ - 3 {x}^{3} - x ^{2} + x + 18[/tex]

Related Questions

A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.

Answers

Answer:

this is your question

Step-by-step explanation:

please mark as brainliest

The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5

Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -

3y = 1/2x

y = 1/6x

At [x] = 0, y = - 5

So -

y = (1/6)x - 5

Now -

slope = 1/6

[y] - intercept = - 5

y = 0 = (1/6)x - 5

(1/6)x - 5 = 0

1/6x = 5

x = 1/30

[x] - intercept = 1/30

Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.

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Calculate the difference.

-1 - 7

What​

Answers

Answer:

-1-7 = -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:


Jeannine puts 10% of her paycheck into a savings account. If she makes $500 each week,
how much does she put in her savings account each week?

Answers

Answer:

$50

Step-by-step explanation:

divide 500 by 10, which is 50 so $50

Please answer quickly I really need this answer

Answers

D - 10

hope this helps :)

Answer:

The answer is 10

5+(-5)=0 identify the property

Answers

Answer: Additive Inverse

Step-by-step explanation: The Additive Inverse tells us that if we add

a number and the opposite of that number, the result will be 0.

Keri has a spinner with sections labeled Black,
Blue, Orange, and Purple. What is the
theoretical probability of Keri spinning the
spinner and landing on blue or black?

Answers

Answer:

50%

Step by step explanation

100 divided by 4 is 25

Since it is both blue and black, it is doubled from 25 to 50

insert 6A.M's between 15 and -13​

Answers

Answer:

-13

Step-by-step explanation:

see if good

Two taxi companies in a city only charge by mileage and do not charge an initial fee. If Taxi 1 charges $3.00 per miles and Taxi 2 charges $1.77 per kilometer. Determine how much a 12 mile ride will cost in each taxi. There are 1.61 kilometers in every mile.(1 point) A 12 mile ride in Taxi 1 costs $34.20, and in Taxi 2 it costs $36.00 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $13.19 A 12 mile ride in Taxi 1 costs $34.00, and in Taxi 2 it costs $34.20 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20

Answers

Answer:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.

Step-by-step explanation:

Given that:

Charges of taxi 1 = $3.00 per mile

Charges of taxi 2 = $1.77 per kilometer

1 mile = 1.61 kilometers

To find:

Cost of a 12 miles ride for taxi 1 and taxi 2.

Solution:

Let us first convert the charges of each taxi to per mile.

Taxi 1 charges are already given in per mile.

Charges for 1 mile = $3

Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36

Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile

Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20

Therefore, the answer is:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.


Factorise fully
10c + 25​

Answers

Answer:

5(2c+5)

I hope this helps

FIRST RIGHT GETS BRAINLIEST. Find the decimal and Percent of 2/3

Answers

Answer:

0.667 and 66.67% rounded

Step-by-step explanation:

2/3 = 0.66666 repeating which can be rounded to 0.667

2/3 = 66.6666% repeatinf which can be rounded to 66.67%

                                    _

Answer: Decimal = 0.6  Percent = 66.67%

Step-by-step explanation: The line above the 6 in 0.6 stands that it repeats over and over again, and the percent is 66.67% because if you divide 100/3x2, you get 66.67.

A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?

Answers

Answer:

The snake would equal 160cm.

Step-by-step explanation:

Correct me if im wrong plz

A set of history exam scores are normally distributed with a mean of 83.2 points and a standard deviation
of 8 points.
What proportion of exam scores are between 82 and 89.2 points?
You may round your answer to four decimal places.

Answers

Answer: .3330

Step-by-step explanation:

The proportion of exam scores are between 82 and 89.2 points is 0.3330.

What is standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When comparing data sets that may have the same mean but a different range, it is helpful.

The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, though, is obviously more dispersed.

Given:

mean = 83.2 points and

standard deviation = 8 points.

So, the proportion is

P(82 ≤ x ≤ 89.2)

=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)

=P (0.75) - P(-0.15)

=0.7734 -(0.4404)

= 0.3330

Learn more about standard deviation here:

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Write an algebraic expression for 27 less than a number.

Answers

Answer:

n-27

Step-by-step explanation:

If we assume the number is n, the expression will be n-27. You could use any other variable, too. Hope it helps!

Answer:

f - 27

Step-by-step explanation:

we don't know the number that's being subtracted so it would be any integer minus 27

If p = 5, q = 4, and r = 1, what is the value of p - r ?

a. 3
b. 4
c. 6
d. 1

Answers

The answer is 4

We can replace p with 5 and r with 1, this will lead us with 5 - 1.
b. 4

If p=5 and R= 1 then 5-1=4

Solve for j if aj+k=v

Answers

Answer:

j=v-k/a

Step-by-step explanation:

It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.

KOT
2
1013
67
Motorcycle
Walking100
a) How many students ride in a tricycle, motorcycle and car going to their school
b) How many students ride in both a motorcycle and a tricycle?
c) How many students ride in both a motorcycle and a car?
d) How many students ride in both a car and tricycle?
e.)How many students go to school
in a car only;
in a motorcycle only;
30

Answers

Answer:

a. 15 students

b. 32 students

c. 35 students

d. 34 students

e. 55 students

f. 67 students

Step-by-step explanation:

See attachment for complete question

Solving (a): Tricycle, Motorcycle and Car

This is the intersection of Tricycle, Motorcycle and Car.

From the attached Venn diagram, there are 15 students in this category

Solving (b): Tricycle and Motorcycle.

This is the intersection of Tricycle and Motorcycle.

From the attached Venn diagram, we observe the following data:

[tex]Tricycle\ and\ Motorcycle\ only =17[/tex]

[tex]All = 15[/tex]

[tex]Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only[/tex]

[tex]Tricycle\ and\ Motorcycle = 15 + 17[/tex]

[tex]Tricycle\ and\ Motorcycle = 32[/tex]

Solving (c): Car and Motorcycle.

This is the intersection of Car and Motorcycle.

From the attached Venn diagram, we observe the following data:

[tex]Car\ and\ Motorcycle\ only = 20[/tex]

[tex]All = 15[/tex]

So:

[tex]Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only[/tex]

[tex]Car\ and\ Motorcycle = 15 + 20[/tex]

[tex]Car\ and\ Motorcycle = 35[/tex]

Solving (d): Car and Tricycle.

This is the intersection of Car and Tricycle.

From the attached Venn diagram, we observe the following data:

[tex]Car\ and\ Tricycle\ only = 19[/tex]

[tex]All = 15[/tex]

So:

[tex]Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only[/tex]

[tex]Car\ and\ Tricycle = 15 + 19[/tex]

[tex]Car\ and\ Tricycle = 34[/tex]

Solving (e): Car only

From the attached Venn diagram, we observe the following data:

[tex]Car\ only = 55[/tex]

Solving (e): Motorcycle only

From the attached Venn diagram, we observe the following data:

[tex]Motorcycle\ only = 67[/tex]

Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving

What do the points on the graph mean in this context? Select all that apply.

For every 3 cups of fruit, there is 1 cup of nuts.

For every 1 cup of fruit, there are 3 cups of nuts.

For every 2 cups of fruit, there are 6 cups of nuts.

For every 6 cups of fruit, there are 2 cups of nuts.

For every 12 cups of fruit, there are 4 cups of nuts.

Answers

Answer: 1st, 4th & 5th .

Answer:

1st, 4th, and 5th

Step-by-step explanation:

6m + 4n + 3m - 6

What are the coefficient[s]? Separated them with a comma

Answers

Answer:

6,4,3

Step-by-step explanation:

A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything

Answer:

6,4,3, and -6

Step-by-step explanation:

These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.

Simplify the expression:
27
simplifying square roots

Answers

Answer:

3^2

Step-by-step explanation:

3x3x3 = 27

Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.

Answer:

3 by the power of 2

Step-by-step explanation:

According to modern science. Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose you represent the entire history of Earth by 12 hours on a clock, with the birth of Earth at the stroke of midnight and today at the stroke of noon. How long before noon does written human history begin?

Answers

Answer:

11:59:59. Human history can be represented as only less than one second in a 12 hour clock.

What might be the result of sharing a link if it is pseudopsychology instead of accurate psychological science?
You would be unintentionally sharing inaccurate information.
You might get credit for the information in the article.
You would have an article you could cite for a class project,
You will find good evidence to back up the headline in the article
Submit
W

Answers

Answer:

You would be unintentionally sharing inaccurate information.

Step-by-step explanation:

i just read the book

two numbers or expressions that have been the same value are

Answers

Answer:

equivalent

Step-by-step explanation:

Equivalent means equal so equivalent expressions equal the same value.

PLZPLZPLZPLZHELPHELPHELPASAP!!

Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B.


1. 4 inches by 2.5 inches

2. 15 inches by 10 inches

3. 24 inches by 15 inches

4. 9 inches by 6 inches

Answers

Answer:

uhhhhhhhhhhhhhhhhhhh

Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month.

Answers

Answer:

355.923 cubic feet per month

Step-by-step explanation:

Units Conversions

We need to convert from pints/day to cubic feet/month. Two basic conversions are needed:

1 US pint = 0.0167101 cubic foot

1 month = 30 days (average)

710 pints are equivalent to 710 * 0.0167101 = 11.8641 cubic feet

That volume corresponds to a daily flow. For a monthly flow, multiply by 30:

355.923 cubic feet per month

Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finda a piece of string that is is 4.25 feet long. how much string will Melissa have left over​

Answers

Answer:

You will have .38 feet left of string

Step-by-step explanation:

Just subtract the numbers

Have a good day!

Answer:

0.38

Step-by-step explanation:

4.25-3.87=0.38

You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?

Answers

Answer:

Shop and save

Step-by-step explanation:

Answer:

You can buy 5 of the same apples at Shop and Save for $2.10.

Step-by-step explanation:

Suppose you have 24 CDs. You know that you have 7 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has.

a. 24 + 7 = n; 31
b. 24 + n = 7; –17
c. n + 7 = 24; 17
d. n – 7 = 24; 31

Answers

It’s c hope this helped

Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable

Answers

Answer:

The input of the function

Step-by-step explanation:

What is the value of a?



a–2=3+6a3



Enter your answer in the box.

Answers

That's what I got, not sure if it was what you were looking for.

Answer:

-5

Step-by-step explanation:

Is the Answer

Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?

Answers

Answer:

392984

Step-by-step explanation:

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For three years, it has also hosted shows with music written for an orchestra by high school students."It's really a great thing to see these kids, and the pride that the reservation has in having these kids be stars," said David Gier. He is the music leader of the South Dakota Symphony Orchestra.The yearly music academy is one part of the Lakota Music Project. It's a program developed with the orchestra and musicians of the Lakota Native American tribe. The goal is to create cultural cooperation, teaching people about the Lakota and the orchestra."Through music, we are able to show a side of us that nobody gets to see," said Emmanuel Black Bear, a singer. He has been part of the Lakota Music Project since 2009. The native people have "a rich culture," he said. "I wanted to be a part of something where we could show the positive side of our people through music."Black Bear is bringing the Lakota Music Project to Washington, D.C. Native flute player Bryan Akipa and nine members of the South Dakota Symphony are also going. In October, Black Bear will perform at the Smithsonian's National Museum of the American Indian and at Washington National Cathedral. It is for a festival hosted by the PostClassical Ensemble. The goal is to show Native American influences on American music.Matching Two Different Types Of Music TogetherThe Lakota Music Project "deserves to be more widely known," said Joseph Horowitz. He is the PostClassical Ensemble's leader.The project began in 2005. It was soon after Gier started with the orchestra. He wanted to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.Gier approached local leaders and experts. One was Ronnie Theisz, a writer of books on Lakota culture. The two men talked about creating a project. An idea came one snowy evening at Pine Ridge. Some of the orchestra's musicians met with the Porcupine Singers, a drumming circle on the reservation. They played music for each other.Gier said the keeper of the drum talked about singing old songs and passing on tradition to younger people. It was the main thing both groups shared.There are plenty of differences, too. The timing of the two types of music is different, said Black Bear. "In the beginning, it was kind of difficult to match them together."Hearing The Music Instead Of Trying To Change ItThe first Lakota Music Project tour, in 2009, set themes for the concerts. Theisz became a leader on the project. He suggested grouping the concert around love and death, joy and sadness, with music from each culture. The second half had new works on Lakota themes. The Lakota Music Project is coming to Washington because of Horowitz's support of the Indianist movement. It was in the early 1900s. American composers wrote music based on Native American themes. Horowitz calls it "a major American cultural event that's been totally forgotten."From the Lakota point of view, however, the "Indianist" movement inappropriately uses Native American customs. It's based on a misunderstanding of Native traditions, they believe."Even when they loved to take source music from different Indian tribes," Theisz said of the Indianist composers, "they didn't appreciate it." They wanted to try to improve it, he said."We're trying to counter that," he said. "Hearing the real music is part of the project."The Lakota Music Project's focus remains on building bridges through music."It's just human connection," Gier said, "and feeling like we can make a difference."Question 1Refer to the Newsela article "The Lakota Tribe Wants to Educate People Through Music Project."Part AWhat is an implied idea in the article??A. The Lakota Music Project seeks to improve upon the music of different Indian tribes.B. 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