If f(x) = 2x² + 1 and g(x) = x² - 7, find (f - g)(x)

Answers

Answer 1

Step-by-step explanation:

please mark me as brainlest

If F(x) = 2x + 1 And G(x) = X - 7, Find (f - G)(x)
Answer 2

The composition of functions is solved and ( f - g ) ( x ) = x² + 8

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2x² + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = x² - 7

( f - g ) ( x ) = f ( x ) - g ( x )

On simplifying , we get

( f - g ) ( x ) = 2x² + 1 - ( x² - 7 )

( f - g ) ( x ) = x² + 8

Hence , the function is ( f - g ) ( x ) = x² + 8

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Related Questions

Four red, 8 blue, and 5 green balls are randomly arranged in a line. (a) What is the probability that the first 5 balls are blue

Answers

Answer:

it may be 3

Step-by-step explanation:

it may be bcz am not much good but still just trying

Solve the equation by factoring: x^2-8x+15=0

Answers

Answer:

that is your solution

hope it helps

Solve the equation by factoring: x^2-8x+15=0

How can you relate the mathematical way of solving problem to your daily problem solving?​

Answers

Answer:

Mathematical problems can help you in life because it teaches you to go step by step and to think things through.

Step-by-step explanation:

a political action committee sends out a questionnaire to randomly-selected mailing addresses, asking people to rate the importance of a variety of economic and social issues facing the country. at the end of the questionnaire is an (optional) invitation to donate money to the political action committee. which of the following statements about this survey is true?
A) The survey results are invalid because it’s impossible to word questions about politics without creating bias.
B) The survey results are invalid because only surveys conducted by phone are free from bias.
C) The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that asks for money.
D) The survey results will overestimate support for this political action committee in the entire population because people more likely to respond if they are prepared to donate money.
E) Since the survey was sent to randomly-selected households, it should be free of bias.

Answers

Option c; The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that asks for money. This is the correct statement about the survey.

Given,

A political action committee sends out a questionnaire to randomly-selected mailing addresses, asking people to rate the importance of a variety of economic and social issues facing the country. at the end of the questionnaire is an (optional) invitation to donate money to the political action committee.

We have to find the correct statement about the survey from the given options;

Because respondents are less inclined to support a group that solicits donations, the survey results will understate public support for this political action committee.

The correct statement about the survey is option c;

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Which number is a rational number?
√56
√ 63
√ 196
√240

Answers

Step-by-step explanation:

Out of the given options, only √196 is a rational number.

A rational number is a number that can be expressed as the ratio of two integers. In other words, it can be written in the form of p/q where p and q are integers and q is not equal to zero.

√56 cannot be simplified further and has no integer factors that can be canceled out to express it as a ratio of two integers. Therefore, it is an irrational number.

Similarly, √63 and √240 cannot be simplified further and do not have any integer factors that can be canceled out to express them as a ratio of two integers. Therefore, they are also irrational numbers.

On the other hand, √196 simplifies to 14 which is a ratio of two integers (14/1). Hence, it is a rational number.

In summary, only √196 is a rational number out of the given options.

What is 0.2105 rounded to the nearest hundredth

Answers

Answer:

Step-by-step explanation: 0.21

Answer:

Step-by-step explanation: 0 is the ones place 2 would be the tenths and 1 the hundreths when rounding you use the fact of if the number following is 5 or more you round up 4 or less it stays the same so the answer is 0.21

Can you please help me

Can you please help me

Answers

A. In line 2, the inequality sign should have been reversed.

B. (The second one) x ≤ -3


Find the circumference of the circle. Round to the nearest hundredth.

Find the circumference of the circle. Round to the nearest hundredth.

Answers

I think it’s A hope this helped

Which of the following did you include in your description? Check all of the boxes that apply.

Let x = the smallest even integer, x + 2 = the next even integer, and x + 4 = the largest even integer.

Write the equation x + x + 2 + x + 4 = –78.

Simplify the equation as 3x + 6 = –78.

Solve the equation by subtracting 6 and dividing by 3 on both sides of the equation.

Check that the sum of the integers –28,
–26, and –24 is –78.

Answers

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4.

We are told the sum of x, x+2, and x+4 is equal to -78

x + (x + 2) + (x + 4) = -78

3x + 6 = -78

3x = -78-6

3x = -84

x = -28

Now,

(x+2) = -28+2

= -26

(x+4) = -28+4

= -24

This means that the integers are -28, -26, and -24.

Hence proved.

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Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply.
One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.

Answers

Answer:

1) One of the equations that represents this scenario is A – B = 100.

2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.

4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.

Step-by-step explanation:

Answer:

a b and d

Step-by-step explanation:

What is the difference between theoretical and actual radioactive decay?

Answers

Answer:

Radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration) is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha decay (α-decay), beta decay (β-decay), and gamma decay (γ-decay), all of which involve emitting one or more particles. The weak force is the mechanism that is responsible for beta decay, while the other two are governed by the electromagnetic and strong forces.[1]

Theoretical radioactive decay predicts the behavior of radioactive materials, while actual radioactive decay is the observed behavior of these materials in the real world.

What is Radioactive Material?

A class of chemicals where the nucleus of the atom is unstable

Theoretical radioactive decay is based on the laws of physics and predicts the rate at which a radioactive material should decay.

It assumes that radioactive decay is a random process and that the decay rate is proportional to the amount of the radioactive material present.

Actual radioactive decay refers to the observed behavior of radioactive materials in the real world.

It takes into account factors that may affect the rate of decay, such as environmental conditions and the presence of other materials that may interfere with the decay process.

Actual radioactive decay may deviate from theoretical predictions due to these factors, making it important to measure and monitor the actual behavior of radioactive materials to ensure safety and accuracy in applications such as nuclear power and medicine.

Hence, theoretical radioactive decay predicts the behavior of radioactive materials, while actual radioactive decay is the observed behavior of these materials in the real world.

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Find the final price of each item television: $375.00 discount: 25% tax: 6%
PLEASE HELP MEEEEEEEE!!!
I really need to understand how to work out this problem and solve it!
Thank You!

Answers

The final price of the television is  $299.53.

Discount is somewhat a reduction in the actual or usual price of the object or service. Whereas, tax is the money that we have to pay to the government.

Price of television before discount = $375.00      (given)

Discount given = 25%                                             (given)

25% of $375 is,

$375* (25/100)= $93.75.

The cost of the television after sale off and before the sales tax is:

$375- $93.75= $281.25

The sales tax = 6%                                                    (given)

$281.25* (6.5/100)= $18.28

The price of the television including everything is,

$281.25+ $18.28= $299.53

Therefore, we can conclude the the final price of television is $299.53.

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If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item. Please explain. Thank you.

Answers

20% of $250 is $50
So $300

Answer: 300

Step-by-step explanation:

20% of $250 is $50

So $300

How many 50ml can be filled from 5L

Answers

100 50ml containers can be filled from 5L.


What is the domain of the line in inequality form?
+
-7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6 7
b
6SX <-3
-3 6 -3 Od

Answers

Answer:

vtgggfdfhufjdbbrhenrvrhthrjt

A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?​

Answers

Answer:

4 minutes: 17.4 °C9 minutes: 23.7 °C

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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A thermometer reading 10C is brought into a room with a constant temperature of 36C. if the thermometer
A thermometer reading 10C is brought into a room with a constant temperature of 36C. if the thermometer

Brianna answered 80% of the questions correct on her math test. Which fraction represents the number of questions she answered correctly?

Answers

Answer: 4/5

Step-by-step explanation:

80% is 80/100

80/100 simplified is 4/5

Answer:

8/10 ( you didnt say how much questions there were)

Step-by-step explanation:

As a fraction, 80/100 simplifies to be 8/10. ( 10 can go into 80, 8 times and 10 can go into 100, 10 times)

So, if Brianna had 10 questions on the test and answered 80% correctly, take the numerator of this simplified fraction and that's the answer

ANSWER: 8

Brianna got 8 questions correct

Hope this helps you. Plz mark Brainliest if u want to!  :)  

what does this : mean in math for 6th grade

Answers

Answer:

Average

Step-by-step explanation:

Mean is the average of a set of numbers that you are given.

To get the mean you need to add up all the numbers and divide that total number by the amount of numbers you had.

Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth

Answers

If Boris has finished 43% of his run on the treadmill, it means that 43% of 99 minutes have gone by. To calculate this, we can multiply 99 by 0.43 to find the number of minutes:

99 minutes * 0.43 = 42.57 minutes

Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.

Can anyone help me on this one

Can anyone help me on this one

Answers

Hello !

Answer :

\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)

What is the volume of the cylinder below? Use 3.14 for Pi and round to the nearest tenth.

What is the volume of the cylinder below? Use 3.14 for Pi and round to the nearest tenth.

Answers

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=7 \end{cases}\implies V=\pi (10)^2(7)\implies \stackrel{ using~\pi =3.14 }{V=2198~cm^3}\)

Of the 32 students in Joe's class, 8 students ride their bikes to school, 5 walk to school, 4 get a ride to school in a car, and 15 take the bus to school. What is the experimental probability of choosing a student who walks to school?

Answers

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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PLEASE HURRY THIS IS DUE IN 20MIN


The Green River Freeway has a minimum and a maximum speed limit. Tony drove for 4 hours at the minimum speed limit and 7 hours at the maximum limit, a distance of 710 miles. Rae drove 4 hours at the minimum speed limit and 6 hours at the maximum limit, a distance of 640 miles SOLVE USING elimination

Answers

This is not my answer I found it from another brainly

From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.

Tony:

2x+3.5y=355

Rae:

2x+3y=320

Now you can solve the equations by subtracting Rae's equation from Tony's

.5y=35 solve for y and you get 70

Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:

2x+3(70)=320

x=55

What is the correct answer for 17? Plsss help

What is the correct answer for 17? Plsss help

Answers

If lines m and n are parallel, then the value of x must be 4.

How to find the value of x?

If lines m and n are parallel, then the measures of the angles in the correspondent quadrants must be the same ones.

Here we can see that the two angles are in the third quadrant, thus, these angles have the same measure. Then we can write this as:

6x² = 96

Now we can solve this for x, we will get:

x² = 96/6

x² = 16

x = √16

x = 4

That is the value of 4.

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27. Obtén el resultado de la siguiente operación:
3- 149 + 2 (3 +42) + 1/2
A) 72
B) 40
C) 34
D) 15​

Answers

Answer:

40............................

what is the x normally stand for?

Answers

Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

please help me quick ill give brainliest

please help me quick ill give brainliest

Answers

Answer:

23/99

Step-by-step explanation:

nearly any number /9 or /99 or /999 etc is a repeating decimal.

Answer:

23/99

Step-by-step explanation:

9/8=1.125

23/99≈0.232

9/20=0.45

3/40=0.075

hope this helps

Will has a pack of 24 sweets.
He gives 25% of the sweets to his brother.
He eats 1/3 of the rest himself.
He gives the remaining sweets to his sister. What percentage of the pack of sweets does he give to his sister.​

Answers

Step-by-step explanation:

25*.25=6.25

25 percent as a decimal is .25

multiply the last answer by 1/3 since he took 1/3 of the 25 percent

6.25 times 1/3 is 2.08

2.08 divided by the total which is 24 is .087 percent

i think

Find the value of x.
78°
OA7
OB. 8
O C. 5
O D. 1
(12x+18)

Find the value of x.78OA7OB. 8O C. 5O D. 1(12x+18)

Answers

Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

5/12×6/34 pls help me

Answers

The given numerical expression can be simplified as a fraction as 5/68 .

The given expression is  5/12 × 6/34

This is a multiplication of fractions.

therefore here we will multiply the numerators and divide it by the product of the denominators.

5/12 × 6/34

or , (5×6) ÷ (12×34)

or, 30 ÷ 408

or, 5 / 68

therefore the required expression is 5 / 68

Expressions are statements in mathematics that include variables, numbers, or both, as well as at least two terms connected by an operator. Addition, subtraction, multiplication, and division are examples of mathematical operations.

Expressions can be classified into two categories in mathematics: algebraic expressions, which also contain variables, and numerical expressions, which only contain numbers. It seems like a fixed amount of money.

A variable is a symbol without a known value. One constant, one variable, or a collection of variables and constants multiplied or divided can make up a term. The coefficient in an equation is a number that is further multiplied by a variable.

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NASA: Asteroid that dwarfs Empire State Building heading for Earth; Huge NEO to reach soon. .. NASA: Asteroid is monstrous at 4,265 feet wide and it is approaching Earth fast. 'Potentially hazardous' asteroid just a month away." The Asteroid does NOT "dwarf the Empire State building'. (at its maximum estimated size it is about the same size as the height of the Empire State Building): TRUE or FALSE The Asteroid is a NEO: TRUE or FALSEThe Asteroid size is 4,265 feet wide: TRUE or FALSE The Asteroid is estimated to impact in one month: TRUE or FALSE Drought and leaching have contributed to the process of. Grinch owns a mineral water spring that provides him with unlimited supply of water at no cost. He can bottle the water at a cost of $2 per litre. Grinch's neighbour, Scrooge, found a mineral spring of his own, that provides him with the same water quality as that of Grinch. It also costs him $2 per litre to get his water out of the ground and bottle it. 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In the space available here, I wont be able to do justice to all the complexities of this case and will just highlight a few crucial scenes. But lets start with an understanding of the settinga place Lynch and Schaefer call "The Prep."The Prep was founded on a picturesque deeply wooded 400-acre property just on the outskirts of a small southwestern city. The school was a boarding community where faculty, their families and the students all learned, worshipped, ate and lived together on the same campus. The Prep was founded on the ideals of social and environmental progressivism with a motto of developing the entire student: spiritually, academically, and athletically. The experiment was a success and The Prep is now considered one of the top academic prep schools in the nation. A large part of this academic success comes from the small informal classes and the engaged learning philosophy but most of all the close relationship between students and teachers. (Lynch & Schaeffer, 2012)Sounds idyllic, right? Unfortunately, times change and The Prep changed, too. By the time Owen worked there as a teacher, 70% of the students were day students, the city had grown up around the school, and the economy and a series of bad investment decisions had led to a serious fiscal crisis. To deal with these issues, The Prep brought in a new Headmaster, hired a new chief financial officer (CFO), and convened a "benefits review committee" that included members of the Board of Trustees, community members, school administrators, and one faculty representativeOwen. The committee met a number of times, discussing topics including school history and culture, relationships to donors, comparisons of The Prep with other high-quality preparatory schools, hiring practices, and benefits issues such as how much should be contributed to 401K packages. The discussions were wide-ranging, but for the sake of this case, well settle in on one particular issue raised during a meeting several weeks into the ongoing work of the benefits review committee.At this meeting, the topic under discussion was tuition waivers for the children of faculty and staff. Owen suspected coming into the meeting that this issue would be contentious, and he was right. As the discussion ensued, two camps emerged. On one side were faculty members who wanted to maintain the tuition waiver. These individuals argued that the tuition waiver was part of the schools history and culture and that many faculty and staff chose to work at The Prep in part because they were "investing in their childrens future." During a meeting break, Owen asked the CFO, "Was not every person here promised the dependent tuition waiver when they were hired? I know I was." 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Write a summary about Ethics Word count: 200