f(x)=7x-2 g(x)=x2+1 h(x)=3x (x at the corner of 3 ) a- find gh(2) b- find f-1(x)

Answers

Answer 1

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]


Related Questions

A machine packages bags of almonds. The weights of the bags are normally distributed with a mean of 14 ounces and a standard
deviation of 1.2 ounces.
Enter the Z-score of a bag of almonds that weighs 12.2 ounces.

Answers

Answer: -1.5

Step-by-step explanation:

took the test

The z-score of a bag of almonds weighing 12.2 ounces will be negative 1.5.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

A machine packages bags of almonds.

The weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces.

Then the z-score of a bag of almonds weighing 12.2 ounces will be

z-score = (x - mean) / SD

z-score = (12.2 - 14) / 1.2

z-score = -1.8 / 1.2

z-score = -1.5

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ2

1
Write an algebraic
expression for:
Seven added to five
times a number

Answers

Write an algebraic expression for: seven added to five times a number

Answer:

7 + 5x

Please help me with this question

Answers

Answer:

I think B .......................................

I WILL GUVE BRAINIEST I NEED ASAP.

A car has 4 cylinders that each have a radius of 4cm and a height of
10. Use 3.14 for pi. Find the volume of a cylinder, solve for the total
volume of the engine in cubic centimeters, then round to the nearest
cubic centimeter.

Answers

Answer:

What I got for my answer for one of the cylinders is 502.65

I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^

A cuboid has 4 rectangular faces and 2 square faces. Each rectangular face measures 8 cm by 6 cm. Find the two possible values for the surface area of the cuboid.
pls give me answer with steps

Answers

Answer:

320 cm² or 264 cm²

Step-by-step explanation:

first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²

the 2 square faces will be either 8 x 8 or 6 x 6.

If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²

If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²

On Tuesday, there were 400 customers at a movie theater, and each customer paid $8 for a ticket. On Wednesday, the owner of the movie theater reduced the regular ticket price from $8 to $6 for tickets that were purchased before 6 p.m. If the daily ticket sales for the two days were the same, and 100 people paid $8 for a ticket on Wednesday, how many people paid $6 for a ticket on Wednesday?

Answers

Answer:

400

Step-by-step explanation:

6x + 800 = 3200

6x = 3200 - 800

6x = 2400

    = 2400 / 6

x   = 400

Hope this answer helps you :)

Have a great day

Mark brainliest

The number of people who paid $6 for a ticket on Wednesday are 300.

What is subtraction?

The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.

According to the given question.

Number of tickets sales for Wednesday = 400

Also, on Wednesday number of people who paid $8 for tickets = 100

Therefor,

The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8

[tex]= 400 - 100\\= 300[/tex]

Hence, the number of people who paid $6 for a ticket on Wednesday are 300.

Find out more information about subtraction here:

https://brainly.com/question/13619104

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The relationship between the length and weight of certain sea turtles can be approximated by the equation L = 0,55 W,
where L is the length in feet and W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?

Answers

Answer:

4.55 pounds

Step-by-step explanation:

From the above question , we are told that:

The relationship between the length and weight of certain sea turtles can be approximated by the equation

L = 0.55 W,

where

L is the length in feet

W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?

L = 2.5 feet

Hence,

2.5 = 0.55W

W = 2.5/0.55

W = 4.5454545455 pounds

Approximately, weight of the sea turtle in pounds = 4.55 pounds

PWEASE HELP ILL GIVE BRAINLIEST
Rhona decided to buy a larger 1 1/4 pound package of baking flour rather than a 5/8 pound package. How much heavier is a larger package than a smaller one?

Answers

Answer:It is 5/8 of a pound heavier

Step-by-step explanation:

1 1/4 - 5/8=5/8

Answer:

The larger package is twice as heavy

Step-by-step explanation:

first make 1 1/4 into 5/4 and then multiply the top and the bottom by 2 to get a common denominator of 8. you will end up with 10/8. you can then subtract 5/8 from 10/8, leaving you with 5/8.

jake plays baseball with two wooden bat one made from hickory and one made from white ash what is the weight of the white ash if his hikory bat weght 32.4 ounse and both bat togethere weight 64.33

Answers

The white ash bat weighs 31.93 ounces
The white bar weight 31.93 ounces

PLEASE H LP ME WITH THIS AND SHE WANTS US TO SHOW WORK AND I NEED THE ANSWER AND THE WORK

Answers

ok lets convert first

1/2=0.5

Then divide

2/0.5=4

so now we multiply 50 with 4

50*4=200

The answer would be D

D, 200 miles

Use the function below to find F(2)

F(x)=1/3•4^x

Answers

Answer

The answer is 16/3

Step-by-step-explain

F(x) = ⅓ • 4ˣ, F(2)

F(2) = ⅓ • 4²

F(2) = ⅓ • 16

F(2) = 16/3

Thus, The answer is 16/3

-TheUnknownScientist

Answer:

Step-by-step explanation:

16/3

I hope it's helpful

Alana listed the lowest temperatures recorded in some states
State
Lowest temperature recorded (°F)

-80 Alaska
0 Florida
12 Hawaii
-34 New Jersey
-34 North Carolina

Alana wrote inequalities to compare the temperatures.
Choose all of the correct
inequalities that Alana wrote.

A 12 > 0
B. 0> -34
C. 12<-34
D. -80 < 12
E-34 <-80

Answers

The correct inequalities that alana wrote is

B) 0> -34

D) -80< 12

Can someone please explain Conditional probability to me

Answers

Answer:

conditional probability is probability based on logic and past events instead of your current data which you got from whichever experiment you did (that is experimental probability)

Step-by-step explanation:

If mL DOC = 44º and mL COB = 80°,
find the measure of the indicated arc
in circle o.
D
с
O
E
B
mDB = [?]°

Answers

The answer is 80 arc cb has the same measures as the central angle

Answer:

124°

Step-by-step explanation:

measure of arc DC = 44 because the measure of central angle equals the measure of its arc.

measure of arc CB = 80 because the measure of central angle equals the measure of its arc.

measure of arc DC = measure of arc DC + measure of arc CB

                                = 44 + 80 = 124°

The Chess Club has 24 members, 14 girls and 10 boys. What is the ratio of
girls to boys in the Chess Club?
A. 3:4
O B. 7:5
O C. 5:7

Answers

Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?

There are 11 shirts to select from in a store.

How many ways can 5 different shirts be selected?

PLEASE HELP

Answers

Given:

Total number of shirts to select from in a store = 11

To find:

How many ways can 5 different shirts be selected?

Solution:

Number of to select r items from n items is:

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Total number of ways to select 5 different shirts from 11 shirts is:

[tex]^{11}C_5=\dfrac{11!}{5!(11-5)!}[/tex]

[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}[/tex]

[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7}{5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{11}C_5=462[/tex]

Therefore, there are 462 ways to select 5 different shirts.

PLEASE HELPPPPP :)!!!

Answers

Answer:

answer: 521

Hope that helps!

Select the equivalent expression.
(54.6-10) “ =?
Choose 1 answer:
54. 660
524.860
360
524

Answers

Answer:

©

[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]

Help pleaseeee, I am lost and need help

Answers

Answer:

I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2

the 6% state income tax on a 42.000 salary help

Answers

Answer:

$2520

Step-by-step explanation:

would it be 42$ or 42000$? if its 42000$ it would be $2520

42000/100*6

PLS HELP ME I BEG ANYONE!!!
i and c CAN BE SKIPPED!!!
E means explanation ALL I NEED IS the answer and the explanation :(!!!

Answers

Answer:

siri answered 6 more questions

Step-by-step explanation:

alexa answered 12 questions

siri answered 18 questions

20% of 60 = 12

30% of 60 = 18

Solve the equation for x:

Answers

Answer:

A.   x = 10

Step-by-step explanation:

-5x + 20 = -30

Subtract 20 from both sides

-5x = -50

Divide both sides by -5

x = 10

Answer:

A. x = 10

Step-by-step explanation:

- 5x + 20 = - 30

- 5x = - 30 - 20

- 5x = - 50

5x = 50

x = 50 / 5

x = 10

HELP, i don't understand this I put all my points pls help me with this

Answers

Answer:

I cant see

Step-by-step explanation:

Answer:

2+5*3+6*2+7*3+8*2 = 66

66/5 = 14

mean = 14

hope this helps

Step-by-step explanation:

If the graph of a function increases as x increases and decreases
as x decreases, the degree must be _____

Answers

Answer:

Degree must be odd.

Step-by-step explanation:

In the end behavior of quadratic functions, the graph will either rise or fall as x increases infinitely. Likewise it will also rise or fall as x decreases infinitely.

Now, when x increases or decreases up to infinity(∞) and f(x) increases up to infinity (∞), it is said to be an even powered function and thus the degree is said to be even.

Similarly, when x increases up to infinity(∞) and f(x) increases up to infinity(∞), it is said to be an odd powered function and degree is odd.

Beverly wants to list the following numbers in order from greatest to least l. Place the rational number in order from greatest to least? 1/6 6% 0.012 1/12

Answers

Answer:

0.012, 1/12 , 6% , 1/6

Step-by-step explanation:

To put these numbers in order, you need to first put them in the same form. Let's turn them all into decimal form.

* To put fractions in decimal form you need to divide the numerator into the denominator.

* To put a percent into a fraction you need to understand that this percent is out of 100. ex: 6% = 6/100 , 3% = 3/100 11% = 11/100. so in order to put the new fraction into a decimal, you put it in the correct decimal place. This is wrong 6/100 = .60 this reads 6 tenths so we need to go over a decimal place.

This is correct 6/100 = .06 This is 6 tenths.

So let's go through:                                             _

   1 divided by 6 equals                                  0.16

   6% is equal to                                               .06

   0.012 is already in decimal form               0.012      _

 1 divided by 12 equals                                         0.083

 #Always remember you have to put the numbers in the original form that they were given.

# Also the more decimal places a number has behind the decimal the less the number

               Ex:  0.012 > 0.011 Even though these have the same decimal place 0.012 is greater because it's a greater number.

0.12 > 0.012

Perpendicular to x+y=6 and passing through (0,1)

Answers

Answer:

y = x + 1

Step-by-step explanation:

x + y = 6

y = -x + 6

Perpendicular slope to -1 is 1

(0,1)

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = x

y = x + 1

Standard form:

y = x + 1

-x + y = 1

Construct a circle and divide it into six congruent arcs. Inscribe an equilateral triangle. Draw diameters from each vertex of the triangle > Inscribe a circle in the triangle. (Hint: the inscribed circle will have the same center as the original circle.) ► Inscribe an equilateral triangle in the second (smaller) circle, with endpoints on the diameters previously drawn. Shade to highlight the pattern.​

Answers

L’amour c’est beau mais je comprends pas l’anglais

Find the slope intercept form.

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

y = 3x + 6

Parallel slope = 3

(-2, 3)

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 3(x + 2)

y - 3 = 3x + 6

y = 3x + 9

ace or expert pls help is this right​

Answers

Yes you are correct!

28/112 is equivalent to 25/100. Hope this helps!
Question :-

In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?

____________________

Solution :-

Given Information :-

Individuals who rode both roller coaster and Ferris Wheel ➢ 46Individuals who rode Ferris wheel but not the roller coaster ➢28Individuals who rode roller coaster but not the Ferris wheel ➢24 Individuals who neither rode roller coaster nor the Ferris wheel ➢ 14

Total Number of Individuals who rode roller coaster ➢ 70Total Number of Individuals who rode the Ferris Wheel ➢74Total Number of Individuals who did not ride roller coaster ➢ 42Total Number of Individuals who did not ride the Ferris wheel ➢38

Total Number of Individuals who went to amusement park ➢ 112

To Find :-

Percentage of Individuals who rode Ferris wheel but not the roller coaster.

Formula Used :-

Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

Calculation :-

Substituting the values given in the formula, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]

Now, to convert any fraction into percentage, We multiply it by 100, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]

____________________

Final Answer :-

Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = 25%

Therefore, option A. 25% is the correct answer.

____________________

Note :-

Please scroll from right to left to see the whole solution.

3 x 2 ?? mark brainlyyyyyy​

Answers

Answer:

6

Step-by-step explanation:

Hope it helps kkkkkjjj9

Answer:

easy 3x2=6

Step-by-step explanation:

it is basically 2 groups of 3 or 3+3 which is 6

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