If f(x)=x/3 and g(x)=6x+9 which is equal to f(g(x))

Answers

Answer 1

Answer:

f(g(x)) = 2x + 3

Step-by-step explanation:

f(g(x)) is called a composite function

To compute f(g(x)) simply substitute whatever g(x) definition is wherever there is an x in f(x)

We have [tex]g(x) = 6x + 9[/tex]

[tex]f(x) = \dfrac{x}{ 3}[/tex]

So instead of x just use 6x + 9 to get

[tex]f(g(x)) = \dfrac{6x+9}{3} = 2x + 3[/tex]


Related Questions

Which of the following types of radiation has charge? Select all that apply; this Is.a multiple = cholce question: gamma alpha beta positron

Answers

Alpha, Beta and Positron carries charges.

What are Nuclear Reactions?

When a more stable element is to be formed, nuclear reactions frequently produce or capture particles or radiation. The names of several nuclear reactions are given using these particles since they play a significant role in the reaction.

Alpha carries high energy helium nuclei consisting of two protons and two neutrons which makes it a positive particle.

Beta is a high energy electron which is a Negative particle.

Positrons are particles with the same mass as an electron but with 1 unit of positive charge which makes it a Negative particle.

Gamma rays are not particles but carries a very high-energy electromagnetic radiation.

Hence, Alpha is a positive charged particle, Beta is a negative charged particle and Positron is a negative charged particle.

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3+2 x what = 17? This is due tomorrow but I’m stuck pls help

Answers

Answer:

7

Step-by-step:

2 * 7 =14 first due to PEMDAS

3 + 14 = 17

Answer:

7

Step-by-step explanation:

Let "x" be denoted as the variable for "what".

The question posted is: 3 + 2x = 17

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 3 from both sides of the equation:

2x + 3 = 17

2x + 3 (-3) = 17 (-3)

2x = 17 - 3

2x = 14

Next, divide 2 from both sides of the equation:

(2x)/2 = (14)/2

x = 14/2

x = 7

7 is your answer.

~

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simple interest on a $198,562 mortgage at 3.99%?

Answers

The simple interest on the amount $198,562 mortgage at 3.99% will be $7922.62.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

As per the given,

Principle amount P = $198,562

Rate = 3.99%

Interest amount = 3.99% of $198,562

⇒ (3.99/100)198562 = $7922.62

Hence "The simple interest on the amount of $198,562 mortgage at 3.99% will be $7922.62".

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the same 1200 tomatoes from the previous question have a mean weight of 143 grams and a standard deviation of 35 grams. if the weights are normally distributed, approximately how many tomatoes weight between 73 grams and 178 grams?

Answers

The number of tomatoes weight between 73 grams and 178 grams is 978.

A data set's mean provides the average  and the standard deviation provides information on the range (dispersion) of values around the mean. Squaring is used to determine standard deviation but not mean.

The mean changes when the same value is added to each data point, but the standard deviation remains unchanged.

The standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

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Which one blue, light blue , yellow or red

Answers

Step-by-step explanation:

I just answered this. how often did you post this question ?

the answer is light blue.

Solve.

7 2/5=2/3x−4 1/2

Enter your answer as a mixed number in simplest form in the box.

x =

Answers

Answer:

Step-by-step

pp

Answer:

7 2/5=2/3x-4 1/2

37/5=2/3x-9/2 /×30

30×37/5=30×2/3x+30×(-9/2)

222=20x-135

-20x=-135-222

-20x=-357

20x=357

x=357/20

x=17 17/20

4. Madeleine can type 3 pages in one hour.
How many hours will it take her to type
a 123-page report?

Answers

123/3 =41 so 41 hours
It will take 41 hours

suppose that 8% of the patients tested in a clinic are infected with hiv. furthermore, suppose that when a blood test for hiv is given, 94% of the patients infected with hiv test positive and that 7% of the patients not infected with hiv test positive. what is the probability that

Answers

By using Probability, it can be calculated that

a) Probability that the person test positive for HIV is infected with HIV = 0.54

b) Probability that the person test positive for HIV is not infected with HIV = 0.46

c) Probability that the person test negative for HIV is infected with HIV = 0.0056

d) Probability that the person test negative for HIV is not infected with HIV (P(not HIV|-ve)) = 0.9944

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Probability that the person is infected with HIV (P(HIV)) = 0.08

Probability that the person is not infected with HIV (P(not HIV)) = 0.92

Probability that the person infected with HIV test positive (P(+ve|HIV)) = 0.94

Probability that the person infected with HIV test negative (P(-ve|HIV)) = 0.06

Probability that the person not infected with HIV test positive (P(+ve|not HIV)) = 0.07

Probability that the person not  infected with HIV test negative (P(-ve|not HIV)) = 0.93

By using Baye's Theorem of probability,

a) Probability that the person test positive for HIV is infected with HIV (P(HIV|+ve))  =

[tex]\frac{0.94 \times 0.08}{0.94 \times 0.08 + 0.92 \times 0.07}[/tex] = 0.54

b) Probability that the person test positive for HIV is not infected with HIV   (P(no HIV|+ve)) = 1 -  0.54 = 0.46

c) Probability that the person test negative for HIV is infected with HIV (P(HIV|-ve) =

[tex]\frac{0.06 \times 0.08}{0.06 \times 0.08 + 0.93 \times 0.92}[/tex] = 0.0056

d) Probability that the person test negative for HIV is not infected with HIV (P(not HIV|-ve))  = 1 - 0.0056 = 0.9944

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Complete Question

Suppose that 8% of the patients tested in a clinic are infected with hiv. furthermore, suppose that when a blood test for hiv is given, 94% of the patients infected with hiv test positive and that 7% of the patients not infected with hiv test positive. what is the probability that

a) The person test positive for HIV is infected with HIV

b) The person test positive for HIV is not infected with HIV

c) The person test negative for HIV is infected with HIV

d) The person test negative for HIV is not infected with HIV

x^2 - xy (if x = 8 and y = -3)

Answers

Answer: 88

Step-by-step explanation:

x^2 - xy

8^2-(8(-3))

64-(-24)

64+24

88

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He
sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for
these graphs?
Onone
Oone
Otwo
O infinitely many

Answers

The maximum number of intersections for the graphs is two.

What is meant by Quadratic expression?

A quadratic equation is any equation in algebra that may be rearranged in standard form as:

When x denotes an unknown value while a, b, and c denote known numbers In general, one assumes that a = 0; equations with a = 0 are considered degenerate since the equation becomes linear or even simpler. The numbers a, b, and c are the equation's coefficients, which can be separated by referring to them as the quadratic coefficient, linear coefficient, and constant or free term, respectively.

The task material indicates that the two graphs involved are linear and quadratic graphs.

A quadratic graph produces a parabola, while a linear graph produces a straight line. As a result, the best instance of intersection is when the straight line crosses over the parabola, resulting in two points of intersection.

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The Excel file Automobile Options provides data on options ordered together for a particular model of automobile. By examining the correlation matrix, suggest some associations.

Answers

You must count the instances of each rule and the instances of each item in each rule separately using the data in the Excel file in order to determine the support, confidence, and lift of a rule.

Open the Excel file and look for the information on the options ordered for the specific model of car. This information will probably be presented as a table or a group of columns, where each row represents a distinct order and each column a different choice.

You must count the instances of the rule's components occurring together in the data in order to calculate the support for a rule. You would need to track how frequently the fastest engine choice and the traction control option are selected together, for instance, if the rule is "If the quickest engine, then traction control." This can be accomplished by counting the number of cells in a range that satisfy a specific condition using Excel's COUNTIF function.

The confidence in a rule is calculated by dividing the total number of times the items in the premise (the "if" component of the rule) occur by the total number of times the items in the rule. The number of times the fastest engine and traction control options are selected together must be divided by the total number of times the fastest engine option is ordered, for instance, if the rule is "If the fastest engine, then traction control."

You must divide the rule's confidence by the support of the item in the rule's conclusion to determine the lift of a rule (the "then" part of the rule). You would need to divide the rule's confidence by the support for the traction control option, for instance, if the rule is "If the quickest engine, then traction control."

To calculate the support, confidence, and lift for each of the rules, you can use the Excel formulas indicated above together with any other Excel functions or tools you are familiar with.

It is crucial to keep in mind that the precise formulas and processes you will need to follow will depend on the exact data and rules you are working with, so you might need to modify the following instructions to suit your personal needs.

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evaluate the summation for the indicated value of the variable. 1(1!) 2(2!) 3(3!) 4(4!) m(m!); m

Answers

The summation for the indicated value of the variable is 23.

What is factorial?

The product of all positive integers less than or equal to n in mathematics is known as the factorial of a non-negative integer, indicated by the symbol n!. Additionally, the factorial of n is equal to the sum of n and the subsequent smaller factorial: For instance, According to the convention for an empty product, the value of 0! is 1.

Here, we have

Given

1(1!) +2(2!) +3(3!) + 4(4!)+......... m(m!)

By applying summation,

For m = 3, it will become,

= 1(1!) +2(2!) +3(3!)

Now we open factorization and we get

= 1(1) +2(2×1) +3(3×2×1)

= 1 + 4 + 18

= 23

Hence, the summation for the indicated value of the variable is 23.

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What is 504.08 rounded to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

So let’s look at the hundredths place. You round .08 to the tenth. So that would be 504.1 then you round the tenths place (the one) to the nearest whole number. But you can’t do that so the answer will be 504. No decimal needed. Or you could’ve just looked at the original number, 504.08 and understood that since there is no number in the tenths place then the answer would be 504.

Answer: 504

Step-by-step explanation:

8-a/2=3(4-5a)????????????????????

Answers

Answer:

a = [tex]\frac{8}{29}[/tex]

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

what is the simple interest on 30000 naira for 4 years at 8% rate​

Answers

Answer:

Step-by-step explanation:

- Hint: In this question we asked to find the Simple interest. Here, we will calculate simple interest for 4 years at 8% per annum by using the formula of simple interest (SI) =PRN100 .

Complete step-by-step solution -

To find the simple interest first we will know about simple interest.

Simple interest is based on principal amount for a fixed period of time. The amount which we deposit or take loan from the bank is known as principal amount. The period of time for which the money is lent is known as time on interest.

Now, we will calculate here simple interest,

SI =PRN100

Where P (principal amount) = Rs. 3000

R (Rate of interest) = 8%

N (number of period) = 4 years

So, finding simple interest by putting all the value, we get

=3000×8×4100

=30×8×4

=960 Rs.

Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit.in your answer.
7 yd
9 yd
L
13 yd
15 yd
4 yd

Answers

Answer: 8 yards

Step-by-step explanation:

15-7=8

a high school senior uses the internet to get in- formation on february temperatures in the town where he’ll be going to college. he finds a web site with some sta- tistics, but they are given in degrees celsius. the conver- sion formula is °f

Answers

It reaches a high of 51.8 degrees Fahrenheit. There is a 59.4 degree F range. 12.6 degrees Fahrenheit is the standard deviation. The average temperature is 33.8°F. The median temperature is 35.6 °F. IQR is 60.8 degrees Fahrenheit.

What is statistics?

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem. The study of gathering, analyzing, interpreting, presenting, and organizing data in a particular way is the focus of the mathematic branch known as statistics. The process of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics.

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our tendency to believe we can predict the outcome of random events is the ____________.

Answers

A person's tendency to believe he/she can predict the outcome of random events is known as the Hindsight bias

What are outcomes and events in math?

An event is the total number of results from a random experiment. Trial results are the outcome. The outcome of an event is the totality of all potential outcomes. To better understand this, let's use an example. Example: Chances of rolling a die and getting the desired number

What are the three types of outcomes?

The three types of outcomes are Organizational outcomes, Team outcomes, and Personal or Individual outcomes.

A psychological phenomenon called hindsight bias enables people to persuade themselves after an occurrence that they correctly predicted it before it occurred. People may get the conclusion that they can foresee subsequent occurrences with accuracy as a result.

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You round jumpys time to the nearest tenth of a second, that jumpys time is 19.6 seconds

Answers

Answer:

20 seconds

Step-by-step explanation:

Un árbol se vende en base a la circunferencia de su tronco. Si el tronco de un árbol tiene un radio de 4 pulgadas, ¿cuál es la circunferencia del tronco del árbol?​

Answers

Answer:

25.12  pulgadas

Step-by-step explanation:

two events are mutually exclusive if . a. the probability of their intersection is .5 b. the probability of their intersection is 1 and they have no sample points in common c. the probability of their intersection is 1 d. they have no sample points in common

Answers

Two events are mutually exclusive if the probability of their intersection is 0 and they have no sample points in common. Hence, option D is the correct answer.

The two events are called mutually exclusive when they have no sample points in common. Thus, the probability of event A and event B happening is zero. this means that their intersection set is the empty set.

let us take an example-

Let A be a set of odd numbers and B be a set of even numbers.

A = {1,3,5,7,9}

B = {0,2,4,6,8}

A ∩ B = { }

Hence, the two sets - A and B are mutually exclusive of each other.

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A ball is thrown into the air vertically with a velocity of 112 feet per second.

Answers

Answer: It will reach the ground after 15 seconds. The force is 50.5%

Step-by-step explanation:

The equation C equals seven and represents how many ice cream cones see are sold within a certain number of minutes M add a certain ice cream shop determine the constant proportionality A 17 B 7 c 1 D 1/7

Answers

The constant of proportionality for the given equation is 7.

What is constant of proportionality?

The ratio that establishes a proportional relationship between any two given values is referred to as the constant of proportionality. The constant of proportionality may also be referred to by the names constant ratio, constant rate, unit rate, constant of variation, or even rate of change.

Given:

The equation C = 7M and represents how many ice cream cones see are sold within a certain number of minutes M add a certain ice cream shop.

We have to find the constant of proportionality.

Since, if the equation is of the form y = kx,

then k is the constant of proportionality.

Here the given equation is

C = 7M

Hence, the constant of proportionality is 7.

Option (B) is the correct answer.

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The answer is 7

...........

Therefore option B is correct

Have a nice day! ( :  > )

i am more than $2$ inches taller than my sister, but triple her height is more than $51$ inches greater than double my height. what is the smallest whole number of inches that could be my sister's height?

Answers

The smallest whole number of inches that could be my sister's height will be equal to 55 inches.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

Let me be n inches tall, while my sister is m inches tall.

I'm my sister's tallest by over $2 inches.

So, the equation obtained is,

n = 2 + m             (1)

However, if we treble her height, it would be more than 51 inches taller than I am.

So, the equation will be,

3m = 51 + 2n            (2)

We need to find the value of m.

In the equation, n should be replaced with the aforementioned value (2)

3m = 51 + 2(2 + m)

3m = 51 + 4 + 2m

3m - 2m = 51 + 4

m = 55 inches

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using the histogram with the normal curve displayed, please determine each of the following values. remember that z

Answers

A Z-score is a metric that quantifies the connection between a value and the mean of a set of values.

z-scores are calculated by (observed value - mean)/standard deviation

Mean = 40

Standard Deviation = 8

Observed Value = 52

z-score = (52 - 40)/8 = 2

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What is a formula for the nth term of the given sequence?
2, 4, 8...
I need an answer by december 16, 8:00 am (PLEASE)

Answers

Answer: 2n-1

Step-by-step explanation:

when given two figures or their coordinates, how do you determine which is the preimage (the original) and which is the image (the transformed one)?

Answers

A preimage (the original) is the two-dimensional shape before any transformation. The image (the transferred one) is the figure after transformation.

A transformation is a process that manipulates a polygon or other two-dimensional object an a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system.

Following are the types of transformations:-

Dilation, Reflection, Rotation, Shear, Translation.

Preimage is the set of all elements of the domain that are mapped into a given subset of the co-domain.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

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It's been almost 24 hours since I have gotten an answer, I really need help please answer correcly its not about the points3

At a restaurant all the freezers are set to a temperature that is below 3F let x be the temperature of a freezer which inequality represents temperatures below 3F.

Answers

Answer:

The answer is the third one. It means less than 3 degrees. So X is less than 3 degrees meaning the degrees of the freezer is below 3 degrees.

Step-by-step explanation:

Pls help I don’t understand

Answers

Answer:

why u remove my answer

Step-by-step explanation:

Stock in Boomer Branding, Inc. started the week at $26.50 per share. During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25) Show the changes on the number line by identifying the original starting point and where each arrow representing the change would end.

Drag each value to correct place on the number line.

Answers

The number line is shown in figure.

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Stock in Boomer Branding, Inc. started the week at $26.50 per share.

During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)

Now,

Since, During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)

Hence, All the number is shown in figure on that place.

Thus, The number line is shown in figure.

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Each tuition dollar that a student invests in postsecondary education is returned by _____ dollars in additional lifetime earnings Cashmere Soap Corporation had the following items listed in its trial balance at 12/31/2021:Currency and coins$590Balance in checking account2,500Customer checks waiting to be deposited1,400Treasury bills, purchased on 11/1/2021,mature on 4/30/20222,800Marketable equity securities9,900Commercial paper, purchased on 11/1/2021,mature on 1/30/20226,000What amount will Cashmere Soap include in its year-end balance sheet as cash and cash equivalents?A. 13,290B. 7,290C. 10,490D. 23,190 Find the center and radius of the circle. the capital gains (losses) netting process for taxpayers without 25 or 28 percent capital gains requires them to (1) net short-term gains and losses, (2) net long-term gains and losses, and (3) net the outcome of steps (1) and (2) if they are of similar sign. Prokaryotes stain as gram-positive or gram-negative because of differences in the cell ___. Leon has already had 4 science quizzes this semester. Going forward, he expects to have 1 quiz per week. Write an equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x. two gamblers are playing a coin toss game. gambler a has (n 1) fair coins; b has n fair coins. what is the probability that a will have more heads than b if both flip all their coins what biome is characterized by alternating rainy and dry seasons and large herds of grazing animals that migrate in response to the seasons? which of the following customers or activities could be used for break-even analysis for a company providing educational services? elizabeth wants to get a mortgage for her new vacation home. she pays $125,000 for the condo and has an 8% interest rate for a 10-year term. under the terms of the mortgage, elizabeth pays interest only until the final payment when the principal is paid off. what type of loan is this? Provide one specific piece of evidence that demonstrates how Europeans funded exploration andtrade New World in the period from 1450 CE to 1750 CE. after reading the email, you notice that the acronym whm appears in multiple places. you look it up online, and the most common result is web host manager. that doesnt seem right to you, as it doesnt fit the context of a feminist bookstore. how do you proceed? Directions are in picturethis is how I started:hola amiga,en el verano yo planeo viajar a la playa. A preparar por la viaje yo will traer calida ropa. La playa es normalmente calida en verano. Por mi viaje yo nessisita la flada, las sandalias y sueter if it es frio. Yo soy con mi familia.I know it's bad just finish it please. must be a full page What are the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to ACACA, C is 5:65:65, colon, 6? An x- y- coordinate plane where the x and y tick marks scale by one. A line segment has endpoint A at one, negative six and endpoint C at negative four, two. Correct the lack of parallelism in this sentence: On her vacation she spent time in Barcelona, Madrid, and visiting Seville.Select an answer: On her vacation, she spent time in Barcelona, Madrid, and Seville. On her vacation she spent time visiting Barcelona, Madrid, and also spent time in Seville. The original sentence is parallel. On her vacation, she spent time in Barcelona, visited Madrid, and also went to Seville. competitive firms that earn a loss in the short run should question 6 options: a) shut down if p < avc. b) raise their price. c) lower their output. d) all of the above are correct. was your actual number of people who were infected after two or four contacts different than what was expected? if yes, why do you think some people were not infected? An online furniture store sells chairs for $50 each and tables for $250 each. Every day, the store can ship no more than 36 pieces of furniture and must sell at least $3400 worth of chairs and tables. If 23 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer. the client sustained a tibia fracture and a cast was applied. the client is reporting increasing pain when flexing toes. which symptoms does the nurse assess as associated with compartment syndrome? select all that apply. Is the type of the exception object always the same as the type declared in the catch clause that catches it? if not, why not?.