If f(x) = 3x^2 – 2 and g(x) = 2x + 4, find (f- g)(x).

Answers

Answer 1

Answer:

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 2

g(x) = 2x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Evaluate

Substitute:                    (f - g)(x) = 3x² - 2 - (2x + 4)Distribute -1:                 (f - g)(x) = 3x² - 2 - 2x - 4Combine like terms:    (f - g)(x) = 3x² - 2x - 6

Related Questions

There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?

Answers

Answer:

0.46 is the left over 23/50 is the fraction

A twelve-hour clock is set at the correct time on the afternoon of May 17th. Somebody knocked the clock off the wall and now it loses 6 minutes per day. How much time will the clock be behind 3 weeks later?

Answers

Answer:

126 minutes (or 2 hours and 6 minutes)

Step-by-step explanation:

7 days in a week times 3 weeks = 21 days

6 minutes a day times 21 days = 126 minutes behind

An adult ticket to a school play cost $5 and a student ticket cost $3. $460 dollars was collected and 120 tickets were sold. How many student tickets were sold?

Answers

5x + 3y = 460
5(x + y = 120)
5x + 5y = 600
Use elimination subtraction
-2y = -140
y = 70
There are 70 student tickets

PLEASE HELP!!! WILL MARK BRAINLIEST!!

Answers

Answer:

A

Step-by-step explanation:

I’m pretty sure since you’ve taken a cube from the original cube and relocated it, that means is not part of the surface area anymore.

I could be wrong tho lol

Answer:

i think it is b

Step-by-step explanation:

The average attendance of a yearly Winter Wonderland exhibit at an amusement park is 2.8 × 10 5 people. How many people can be expected to attend over 4 years?

Answers

Answer:

1120000 attendees

Step-by-step explanation:

Given that:

Yearly Average attendance = 2.8 * 10^5 people

How many attendees can be expected to attend over 4 years

Average Yearly attendees * 4

(2.8 * 10^5) * 4

= 2.8 * 4 * 10^5

= 11.2 * 10^5

= 1120000 attendees

hope this pic helps.enjoy

helppp pleaseeee ill do anything ​

Answers

good luck! i hope this helped you :)

Before running in a 100-m race, Gaalen's heart rate was
70 beats/min. Which do you think is more likely after the race:
60 beats/min or 120 beats/min? Explain.

Answers

Answer:

120 bpm

Step-by-step explanation:

after strenuous exercise your heart rate wouldn't decrease as your body needs more oxygenated blood causing your heart to pump harder and faster

Answer:

120 bpm just like the guy above

Step-by-step explanation:

I had the same question

what is 12 to the power of 0 simplified?

Answers

Step-by-step explanation:

the answer is 1

x^0 = 1

12^0 = 1

im not that sure

Your salary is $65,788. If you work fifty 40-hour weeks in a year, what is your hourly wage?

Answers

Answer:

$31.63/hr

Step-by-step explanation:

Given parameters:

 Yearly salary  = $65788

  Number hours worked per week  = 40hrs

Unknown:

Hourly wage  = ?

Solution:

The hourly wage is found by dividing the yearly salary by the total number of hours worked per year.

  There are 52 weeks in a year;

   Number of hours worked per year  = 52 x 40  = 2080hrs

Hourly wage per year = [tex]\frac{65788}{2080}[/tex]   = $31.63/hr

hello quick question because i am dumb and dont know how to explain things just need some clarification

how do you tell if a domain is continuous or discrete on a table not a graph •~•​

Answers

Step-by-step explanation:

gegsbdqneyqillzfjmtucznYEmdnfhhthtej62wrr334tyyytyyttffgfrwgeyeyiqlstl7o4a1‍‍

9514 1404 393

Answer:

  The domain is always discrete when it is found from a table.

Step-by-step explanation:

A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.

__

If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.

Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.

__

Additional comments

One can conceive of tables that would have continuous domains, as, for example, a table with entries ...

  (x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...

Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.

patricia wants to have her living room carpet cleaned she found three different companies that would clean the carpet for $198 the companies are each offering discounts on their carpet cleaning services

Answers

Answer:

company 1 final price: $148.5

company 2 final price: $168

company 3 final price: $132

thus, the best choice is company 3 because it costs the least and all services are the same

Step-by-step explanation:

company 1 is offering 25% off the price of their service

company 2 is offering $30 off the price of their service

company 3 is offering a 1/3 discount off the price of their service

the price of the cleaning is $198

company 1: 25% discount = 75% of the original price $198, which would be $198 * 3/4, or $148.5

company 2: $30 dollars off, which means $198 - $30 or $168

company 3: 1/3rd discount, meaning the product after the discount is only 2/3rd of the original price. 2/3rd of $198 is $132, so the final price after the discount is $132

MY REAPORT CARD IS COMING SOON AND I HAVE ALL F'S my mom snitches and would tell everyone like she did last time so before my mom get's it should I
A. run away from home
B. Break her phone
C. blackmail her, when she DOES get it

Answers

♡ The Question ♡

-MY REAPORT CARD IS COMING SOON AND I HAVE ALL F'S my mom snitches and would tell everyone like she did last time so before my mom get's it should I

A. run away from home

B. Break her phone

C. blackmail her, when she DOES get it

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

- None of the Above!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

- A would not be a very good idea, running away from home can get you in trouble either from your parents/family/guardians, or police/fire department, that would most likely upset your mother more and could cause some issues. B wouldn't be good because soon enough she will most likely find out, breaking somebody's phone can be a bad idea too, if they're in danger they won't be able to call anybody or ask for any help. Including something important could be saved there, not to mention phones are very expensive and it could be devastating.

C isn't much of a better idea either, blackmailing somebody isn't something to be proud of and if anything, is very risky. Blackmailing is demanding money from somebody in return for not revealing compromising info about the person you're threatening. This may only be reputation ruining, but not to mention if the police/fire department find out you're threatening somebody for money you could most likely get arrested.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡  Tips ♡

-I would recommend going for more of a simple plan, waking up early, getting ready, and to begin your schoolwork and start studying more! This can be helpful for your education/knowledge, including creating a safe place for everybody around you and to avoid being in any tight situation or any danger/discipline. If you ever need more help, feel free to always submit any questions onto Brainly so people can answer your questions and help improve your grades!

What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your answer to the nearest thousandth.

Answers

Answer: 87.96 ft

Step-by-step explanation:

What is the largest number of three consecutive integers whose sum is 42? O A. 13 B. 17 O C. 15 D. 12​

Answers

Answer: 13

Step-by-step explanation:

3X + 3 - 3 = 42 - 3

3X = 39

3X/3 = 39/3

X = 13

Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.

13 + 14 + 15 = 42

We know our answer is correct because 13 + 14 + 15 equals 42 as displayed above.

Which of the following expressions are equivalent to -3(2 + 7)?
Choose all answers that apply:
A) 6 + 21
B) -21 +6
C) None of the above

Answers

Answer:

-3(2+7) = -27

Step-by-step explanation:

Step 1: Solve Original Equation = -27

Step 2: Solve the Rest. A) 6 + 21= 21

                                      B)  -21 + 6= -15

Step 3: None of these answers equal the original answer (-27). Therefore making it C) None of the above.

the answer is (c)..................

A submarine is traveling level at ¯75 feet below the surface of the sea. The Captain gives orders to dive the submarine to a depth three times their current level. What is the new cruising level?

Answers

Answer:

264  {feet}

below sea level

Step-by-step explanation:

Ascending means moving towards the surface.

So the submarine is 340 feet below sea level.

The submarine ascends 76 feet.

340 − 76  =

264  below sea level.

Step-by-step explanation:

What is the measure of M​

Answers

Answer:

It's also 52  If I got it wrong I'm so sorry but I'm good at angles

Step-by-step explanation:

boris's super metal detector not only helped him win the science fair but also helped him find $6.20 in nickels and dimes yesterday morning. If boris found 14 more dimes than nickels, how many nickels did he find

Answers

Answer:

32 Nickels

Step-by-step explanation:

Given

Coins: Nickels (N) and Dimes (D)

$0.05 = 1 nickel and $0.10 = 1 dime

So, the amount implies:

[tex]0.05N + 0.10D = 6.20[/tex]

The number of coin implies:

[tex]D = 14 + N[/tex]

Required

Determine the number of nickels found

Substitute 14 + N for D in [tex]0.05N + 0.10D = 6.20[/tex]

[tex]0.05N + 0.10(14 + N) = 6.20[/tex]

[tex]0.05N + 1.4 + 0.10N = 6.20[/tex]

Collect Like Terms

[tex]0.05N + 0.10N = 6.20 - 1.4[/tex]

[tex]0.15N = 4.8[/tex]

Solve for N

[tex]N = 4.8/0.15[/tex]

[tex]N = 32[/tex]

Hence, he found 32 nickels

Use two sets of coordinates to write an equation
to describe the relationship.

Answers

Answer/Step-by-step explanation:

An equation that describes the relationship can be written as [tex] y = mx [/tex].

Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:

[tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70 [/tex]

Substitute m = 70 into [tex] y = mx [/tex]

The equation would be:

[tex] y = 70x [/tex]

This equation can be interpreted as follows:

The heart's resting rate is 70 beats each minute.

Tantasic charges a reservation fee of 20$ and $1 per minute in a tanning bed. Bettersun charges no reservation fee but charges 2$ per minute. How many minutes will the price be the same

Answers

Answer:

The indifference point is 20 minutes

Step-by-step explanation:

Giving the following information:

Tantasic:

Reservation fee of 20$ and $1 per minute

Bettersun:

2$ per minute.

First, we need to structure both total cost formulas:

Tantasic= 20 + 1x

Bettersun= 2x

x= number of minutes

Now, we equal both formulas and isolate x:

20 + 1x = 2x

20 = 1x

20= x

The indifference point is 20 minutes

The units digit of a two-digit number is four more than the tens digit. If the number is doubled, it will be one more than the reversed number. Find the number. (Number: 32 Reversed number: 23)

Answers

Answer:

37

Step-by-step explanation:

2-digit number: 10x + y

y = x + 4

20x + 2y = 10y + x + 1

8y = 19x - 1

8x + 32 = 19x - 1

11x = 33

x = 3

Number: 37

Answer:

Answer:

37

Step-by-step explanation:

2-digit number: 10x + y

y = x + 4

20x + 2y = 10y + x + 1

8y = 19x - 1

8x + 32 = 19x - 1

11x = 33

x = 3

Number: 37

As a maintenance electrician, it takes you 40 minutes to rewire a motor. You have 6 motors to rewire.

At that rate, how many hours will it take you to rewire the motors?

2/3
4
6 2/3
180
240

Answers

Answer:

The maintenance electrician takes 287.555555566667 hours to to rewire all the motors

Step-by-step explanation:

1. Calculate all of the minutes for all the numbers.

It takes you 26.6666667 minutes to rewire 2/3 of a motor.

It takes you 160 minutes to rewire 4 motors.

It takes you 266.666667 to rewire 6 2/3 motors

It takes you 7,200 minutes to rewire 180 motors

It takes you 9,600 minutes to rewire 240 motors

2. Add all of the minutes together.

26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334

It takes you 17253.333334 minutes to rewire 431.333333 motors

3. Convert minutes to hours

17253.333334/60 = 287.555555566667

It takes you 287.555555566667 hours to rewire all the motors

¿Qué distancia recorre un móvil en 2 s cuando se le suelta de un edificio de 100 m de altura?

Answers

the answer is 50:::::::_::::::::

5) Contains (3,-1) and (6,- 13)
Help please

Answers

Answer:

The slope of the line is -12/3

Step-by-step explanation:

remember, rise over run

My I have brainliest please? :)

The trail starts at P(−7, 6) and goes to Q(4, 6). It goes from Q to R(4, −6) and then to S(6, −6). What is the total length (in units) of the biking trail?

Answers

We know, distance between two points A( p,q) and B(r,s) is given by :

[tex]AB=\sqrt{(p-r)^2+(q-s)^2}[/tex]

So, distance between P an Q is :

[tex]PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units[/tex]

Distance between Q and R is :

[tex]QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units[/tex]

Distance between R and S is :

[tex]RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units[/tex]

Therefore, total distance is 11 + 12 + 2 = 25 units.

Hence, this is the required solution.

will mark brain list if answered correct) On this number line, zero represents sea level. Plot the following points based on the description provided.

• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5

Answers

Answer:

The points would be:

1.5

4.5

-2

-4

1

-2.5

4

3

-3.5

5

Step-by-step explanation:

Courtney walked from her house to the beach at a constant speed of 444 kilometers per hour, and then walked from the beach to the park at a constant speed of 555 kilometers per hour. The entire walk took 222 hours and the total distance Courtney walked was 888 kilometers.

Answers

Answer:

I suppose that each number is repeated 3 times, the actual question is:

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.

Now, remember the relation:

Distance = Speed*Time

Let's define:

D1 = distance between Courtney's house and the beach.

D2 = distance between the beach and the park.

T1 = time that it took the first walk.

T2 = time that it took the second walk.

We know that the total distance Courtney walked is 8km, then:

D1 + D2 = 8km.

And we also know that the entire walk took 2 hours, then:

T1 + T2 = 2h.

We also have the equations:

D1 = 4km/h*T1

D2 = 5km/h*T2.

Then we have a system of equations:

D1 + D2 = 8km

T1 + T2 = 2h

D1 = 4km/h*T1

D2 = 5km/h*T2.

To solve this, first let's replace equations 3 and 4 in the first equation:

4km/h*T1 + 5km/h*T2 = 8km

Now we have only two equations left:

4km/h*T1 + 5km/h*T2 = 8km

T1 + T2 = 2h

Now we can isolate one of the variables in the second equation and then replace it in the first equation, i will isolate T1:

T1 = 2h - T2.

Replacing this in the first equation gives:

4km/h*(2h - T2) + 5km/h*T2 = 8km

Now let's solve this for T2.

8km - 4km/h*T2 + 5km/h*T2 =  8km

8km + 1km/h*T2 = 8km

1km/h*T2 = 0

from this, we have T2 = 0

This would mean that T1 = 2h.

Then:

D1 = 4km/h*2h = 8km.

T2 = 0

D2 = 5km/h*0 = 0.

This happens because the numbers in the problem were not well thought.

You can see that when she spends the 2 hours walking at the smaller speed, she already reaches the total distance, then if she walked any amount of time at the larger speed, the total distance would be more than 8km.

can i please get some help

Answers

Answer: number 5 is A number 6 is B

Step-by-step explanation:


pls help:( this is due by the end of the day!!

Answers

Answer:

65°

Step-by-step explanation:

the degrees of the center angle is equal to the degrees of the arc so

?=65°

(-6) – (2 x 4) – (-1)

Answers

Answer:

[tex] (- 13)[/tex]

Step-by-step explanation:

[tex]( - 6) - (2 \times 4) - ( - 1) \\ - 6 - 8 + 1 \\ - 14 + 1 \\ = - 13[/tex]

hope this helps

brainliest appreciated

have a nice day!!

~Hi 1315~

Other Questions
What is the first step in solving for z in the equation 5z4=26? Some body is there in room. In 1854, Northern Democrats, Free-Soilers, and Conscience Whigs Use interval notation to express the set of real numbers $x$ that satisfies the inequality $-2 \leq x < 5$. why is math so hard these days? IN AN ARCTIC ENVIRONMENT, A POLAR BEAR POPULATION WILL INCREASE AS A BLACKBEAR POPULATION Read this passage from Through the Looking-Glass.She looked at the Queen, who seemed to have suddenly wrapped herself up in wool. Alice rubbed her eyes, and looked again. She couldn't make out what had happened at all. Was she in a shop? And was that reallywas it really a SHEEP that was sitting on the other side of the counter? Rub as she could, she could make nothing more of it: she was in a little dark shop, leaning with her elbows on the counter, and opposite to her was an old Sheep, sitting in an arm-chair knitting, and every now and then leaving off to look at her through a great pair of spectacles.What is it you want to buy? the Sheep said at last, looking up for a moment from her knitting.I don't QUITE know yet, Alice said, very gently. I should like to look all round me first, if I might.You may look in front of you, and on both sides, if you like, said the Sheep: but you can't look ALL round youunless you've got eyes at the back of your head.The tone of this passage is best described asserious and reflective.scientific and factual.light and romantic.imaginative and humorous. Which of the following are not examples of a subculture?a. San Franciscos Chinatown.c. the Navajo of the Southwest.b. Miamis Little Havana.d. none of the above Everything in outer space including stars, planets, and galaxiesO A. Solar SystemB. UniverseOC. GalaxyD. BiosphereI What caused widespread starvation in Germany between 1914 and 1918?a. a severe droughtc. the British blockadeb. the devaluation of German currencyd. the Allied bombing of German farms Who should be pardoned and others be punished I am writing to you about the deaths of Romeo and Juliet. I am a student at South Side High School and I have read Romeo and Juliet more times that I can count. I feel like I am an expert on the subject, having studied the multiple motives behind the deaths of our two star-cross'd lovers. I believeto be blamed for the deaths of Romeo and Juliet. I believe [guilty party]-> _____________.is to blame because [state your evidence]-> __________________. As you can see, I haveproven to you that the guilty person is responsible for the deaths of the two lovers.Since [insert a guilty person here]-> __________.is responsible for the deaths ofthe two lovers, I believe he/she should [insert your punishment here]-> __________.I will now explain why this is abefitting punishment for the crime.Thank you for your prompt attention to this matter. Cul es el resultado? de la siguiente ecuacion 5x+2=12 * Name the body of water that lies north of Spain and west of France. How did ancient Indian math influence modern computer technology? A. It led to the creation of the binary system. B. It led to the creation of the concept of zero. C. It led to the creation of the decimal system. D. It led to the creation of complex equations. how to compose dialogue with friend about school and time today? which court case had the greatest impact on the level of success reached by the Progressives? PLEASE HELP MEDescribe the graph of the function [tex]f{x} = x {}^{3} - 18 {}^{2} + 107x - 210[/tex]Include the y-intercept, x-intercepts, and the shape of the graph. Do you think trench warfare sped up or slowed down the pace of war and why its C trustttt meeee PLEASE HELP QUICKLY ;-;50 points and brainliest for first correct answer please help I'm desperate lol