Mathematics High School

Please help

f(x)=1 - 2x g(x)= -x0 h(x)= x + 1
) Find the value of
(i) gf2),
Answer(a)(i)
[2]​

Please Help F(x)=1 - 2x G(x)= -x0 H(x)= X + 1) Find The Value Of(i) Gf2),Answer(a)(i)[2]

Answers

Answer 1

Answer:

we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]

Step-by-step explanation:

We are given:

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

We need to find value of [tex]gf(2)[/tex]

[tex]gf(2)=g(f(2))[/tex]

First putting f(x) inside of g(x) and then putting x=2

[tex]gf(x)=g(f(x))\\gf(x)=\frac{1}{1-2x}[/tex]

Now putting x=2 to find [tex]gf(2)[/tex]

[tex]gf(x)=\frac{1}{1-2x}\\gf(2)=\frac{1}{1-2(2)}\\gf(2)=\frac{1}{1-4}\\gf(2)=\frac{1}{-3}\\gf(2)=-\frac{1}{3}[/tex]

So, we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]

Related Questions

Help ill give brainlist

Answers

i think it would be 71

How do I solve this problem and check all the solutions?

Answers

Answer:

x-5=sqrt(2x+5)

then square both sides

x2-10x+25=2x+5

x2-8x+20=0

rest is trivial

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Given

x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )

- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )

[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )

2x + 5 = (x - 5)²

2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )

0 = x² - 12x + 20 ← in standard form

0 = (x - 2)(x - 10) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 10 = 0 ⇒ x = 10

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 2

2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5

Thus x = 2 is an extraneous solution

x = 10

10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side

Thus x = 10 is the solution

At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the school made $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.

Please write the two equations algebraically and then solve :)

Answers

Answer:x = 200 students

y = 300 non-students

Step-by-step explanation:

5x + 10y = 4000

x + y = 500

Set y = 500-x

5x + 10(500-x) = 4000

5x + 5000-10x

-5x + 5000 = 4000

-5x = -1000

x = 200 students

y = 300 non-students

Let's double checks

5(200) + 10(300)

1000 + 3000 = 4000

Find the equation of the line shown.

Answers

Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

what is 2 1/9 x 1 1/2

Answers

Answer:

3.16

Step-by-step explanation:

Hope this helps!

If mAngleUTV < mAngleUTS < mAngleSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem. mAngleUTV = mAngleUST = mAngleSTR by the converse of the hinge theorem. mAngleUTV > mAngleUTS > mAngleSTR by the converse of the hinge theorem.

Answers

Answer:

VU < US < SR by the hinge theorem.

Step-by-step explanation:

Did quiz on edge

Answer:

A. VU < US < SR  

Step-by-step explanation:

I got a 100 on the test

Samantha has​ $300 for guitar lessons to learn her favorite song. Mrs. Jones charges​ $80 per lesson and requires three lessons to teach Samantha the song. Mr. Beliz charges​ $62 per lesson and requires four lessons to teach Samantha the song. Use integers to represent what each teacher charges. Which is the better deal for​ Samantha?

Answers

Answer:

Mrs. Jones has the better deal

Step-by-step explanation:

Samantha has $300

Mrs. Jones charges $80 per lesson and she requires three so we do 80* 3 (the lessons) which equals 240  

Mrs. Beliz charges $62 per lesson and requires 4 lessons so we do 62*4 (the lessons) which equals 248

240<240 (so Mrs. Jones has the better deal, she wants less money)

Answer:

Mrs. Jones

Step-by-step explanation:

A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase

Answers

Sales tax for the purchase of $50 is $4

Therefore, x% of 50 = 4

(x%) 50 = 4

x/100 x 50 = 4

x/2 = 4

x = 4 x 2

x = 8

Therfore, there is a 8% sales tax on the purchase.

Sales tax on the purchase of $1200 = 8% of 1200

= 8/100 x 1200

= 8 x 12

= 96

A $96.00 sales tax is charged on a purchase of $1200.00

PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

Round your answers to the nearest cent. And thank you if you answer this I really need the answer.

Answers

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

solve for the variable x+9=12

Answers

Answer:

Step-by-step explanation:

subtract 9 from both sides

x=3

Answer: x = 3

Step-by-step explanation: x = 12 - 9

!!HELP ME PLEASE!!
Which describes the graph of y = (x + 6)2 + 1?
A. Vertex at (−6, 1)
B. Vertex at (6, −1)
C. Vertex at (−6, −1)
D. Vertex at (6, 1)

Answers

Answer:

answers

Step-by-step explanation:

A. Vertex at (−6, 1)

This one is too much for me hhh, please answer it when you have time! THANK YOU!!

Match the following rational expressions that corresponds the letter of the correct answer.

Answers

Answer:

1.C

2.K

3.E

4.G

5.I

6.A

7.H

8.B

9.L

10.D

Step-by-step explanation:

ivan scores 56 out of 80 marks in a maths test
what is his score as a percentage

Answers

Answer:

70%

Step-by-step explanation:

(56/80) * 100

0.7 * 100

70%

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

plzz help!!!!!!!!!!

Answers

the answer is 53

Step-by-step explanation:

25 plus 25 is 50 plus 3

Help me now plz it do in 30 min

Answers

Answer:

For the first row, write 5(0)-1 = 0-1. y is equal to -1.

For the second row, write 5(1)-1 = 5-1. y is equal to 4.

For the third row, write 5(2)-1 = 10-1. y is equal to 9.

For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.

Step-by-step explanation:

Hope this helps!

ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (2, 2), B = (4, 3), and C = (6, 3), what is the length of ?

Answers

Answer:

Fourth option is correct. The length of B'C' is 1 unit.

Step-by-step explanation:

The vertices of triangle ABC are A = (2, 2), B = (4, 3), and C = (6, 3).

Distance formula:

The length of BC is 2 units.

It is given that ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′.

It means the ΔABC and ΔA′B′C′ are similar and corresponding sides of ΔA′B′C′ and ΔABC are proportional.

The scale factor is 0.5.

Therefore the length of B'C' is 1 unit and fourth option is correct

Answer:

D= 1 unit

Step-by-step explanation:

William has a lemonade stand. It costs him $0.30 to make 3 cups of lemonade. Find the rate of change of his cost and respect to the dozens of cups of lemonade he makes?

Answers

Answer:

I'm a bit confused, but it would cost $1.20 to make a dozen cups of lemonade

Step-by-step explanation:

0.30 divided by 3 is 0.10, and a dozen is twelve which makes the problem 0.10x12 which equals $1.20

A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number

Answers

Answer:

29%

Step-by-step explanation:

0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)

Hope this helps!

Answer:

29%

Step-by-step explanation:

0.28571428571 is the original number which makes 29%

Hope this helps! Have a great day :)

Find all polar coordinates of point P where P = (9,pi divided by 5).

Answers

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

I need help with this equation

Answers

Answer:

Here:)

Step-by-step explanation:

x= -8

Answer: x = -8

Step-by-step explanation:

8x = 4x - 32

subtract 4x from both sides

4x = -32

divide by 4 on both sides

x = -8

:)

Can someone help me solve this equation? x2 + x - 30 = 0

Answers

X=28 this is the answer, it should be correct

Answer:

x = 10

Step-by-step explanation:

x x 2 + x - 30 = 0          use the commutative property to reorder the terms

2x + x - 30 = 0             collect like terms

3x - 30 = 0                move constant to the right hand side and change its sign

3x = 30                      divide both sides of the equation by 3

x = 10

Help I need an answer as soon as possible

Answers

Answer:

charlie is the one,im pretty sure

A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?

Answers

Answer:

21

Step-by-step explanation:

because you  divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21

American football is a variation of what game?
Soccer
Speedball
Field Hockey
Rugby

Answers

Answer:

Rugby

Step-by-step explanation:

They're the most similar.

Soccer you play with only your feet

Speedball you kick the ball around

Field hockey uses a stick

I need help with this question right now please and thank you!

Answers

|10 7/9|,|-9 9/8|, |-10 4/9|, |-10 5/9|, |-10 8/9|

A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours

starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 8x = 2700


(Type an integer or a simplified fraction)

Answers

Answer:

337.5 mg

Step-by-step explanation:

A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours

Hence: the number of doses or times the antibiotic would be administered =

48 hours/6 hours = 8 doses(times)

The amount of antibiotic that should be given in each dose is:

48 hours = 2700 mg

6 hours = x mg

Cross Multiply

48x = 2700 mg × 6 hours

x = 2700mg × 6/48

x = 2700/8

x = 337.5 mg

The price of an item yesterday was $120. Today, the price fell to $66. Find the percentage decrease.
HELPP
I need this written out and explained I have 10 MINUTES LEFTTT

Answers

Answer:54

Step-by-step explanation: You simply minus $66 from $120. I am fairly sure that i am right. If my answer is wrong, then please forgive me.

Which choice below shows the value of 2.16? Choose all that apply.
Group of answer choices

two and six hundredths

2 + 0.1 + 0.06

2 + 0.01 + 0.06

two and sixteen

2 + 0.16

two and sixteen hundredths

Answers

Answer:

2 + 0.1 + 0.06

2 + 0.16

two and sixteen hundredths

Two and sixteen hundredths

Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100

Domain: ____
Range: ____

Answers

Domain is negative infinity to positive infinity or all real numbers

Range is 140 because it would be a straight line

Name the coefficients in a +2a+3a-4a

Answers

Answer:

2,3,4

Step-by-step explanation: there next to veribuls

Other Questions
the land ordiance act gives all the land back to the native americans true or false Scientific evidence shows that modern dogs, wolves, and foxes all have a common ancestor. Further evidence shows that dogs are more closely related to wolves than to fixes. Which of the following observations provides the BEST evidence that dogs are more closely related to wolves than to foxes? *A. The diets of dogs and wolves are more similar that the diets of dogs and foxes.B. The lifespans of dogs and wolves are more similar than the lifespans of dogs and foxes.C. The genetic sequences (DNA) of dogs and wolves are more similar than the genetic sequences of dogs and foxes.D. The body sizes of dogs and wolves are more similar than the body sizes of dogs and foxes. list the differences between north and south Carolina. Find the value of x? A.5/2\2B.5 C.10D.10/2 Solve for x in the equation: 2x-7=14 3 The writer wants to show a contrast between Idea 1 and Idea 2. Which answerchoice shows the best revision? Circle the correct answer.A Pizza wasn't sold in shops in Italy until the 1800s, and the pizza sellershad outdoor stands.B Pizza wasn't sold in shops in Italy until the 1800s. However, pizza sellershad outdoor stands.C Pizza wasn't sold in shops in Italy until the 1800s. For example, the pizzasellers had outdoor stands.Pizza wasn't sold in shops in Italy until the 1800s, when the pizza sellershad outdoor stands.+ Which of the following is not a reason used in this proof?A) Definition of perpendicularB) Vertical angles are equalC) Reflexive Write a short story using the Seven Colors the Masque of the Red Death used?(symbolism short story) 2.The work done in stretching a spring of spring constant 100 N/m through a length of 10 cm is10a) 1 JbJc)d) 50 x 102 The primary focus of the Georgia Department of Transportation ismonitoring andprotecting thestate's borders.introducinglegislation aimedat ensuring driversafetymaintaining andimproving thestate's system ofroads andhighways. All of the following statements about food allergies are true EXCEPTA. food allergies can be fatal.B. reactions to a food allergy can be mild or severe.C. a food allergy is the same thing as food intolerance.D. food allergies have increased in the past 20 years.Will give brainliest An air mass takes on temperature and moisture characteristics of the landor water beneath it. What kind of air mass forms over tropical waters thathave been heated by the sun?A) cool and moistB) hot and very dryC) warm and moistD) cold and dryI need this today please help If the European subsidiary of a U.S. firm has net exposed assets of 750,000 Euros, and the euro drops in value from $1.30/euro to $1.20/ Euro the U.S. firm has a translation:__________a. gain of $75,000 b. loss of $75,000 c. gain of $65,000 d. loss of 546,923 You have always enjoyed leading groups of people and expressing yourself artistically. Which of the following musical careers would fit you best?conductorsongwriterclassical musicianmusic therapist Why does determining volume work only for a regular shaped object add on sc alawad2003 Help please its needed! Which was NOT a boundary of the USA in 1783? What was the mood of the colonists toward England after the passing of the Townshend Acts? How do you say hi in chamoru?