What's ƒ(g(x)) if ƒ(x) = 3x + 7 and g(x) =6x – 5?

Answers

Answer 1

Answer:

ƒ(g(x)) = 18x - 8

Step-by-step explanation:

We're looking for the composition of f and g, in which function g is the input to function f.  Literally replace "x: in f(x) with g(x) = 6x - 5:

ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,

ƒ(g(x)) = 18x - 15 + 7, or 18x - 8


Related Questions

Use a model to solve six multiplied by seven eighths. Leave your answer as an improper fraction.

A. forty two forty eighths

B. thirteen eighths

C. thirteen fourteenths

D. forty two eighths

Answers

Let's see

seven eighths means 7/8

So

6(7/8)42/821/4

Forty two eighths

FIRST CORRECT ANSWER WILL GET BRAINLIEST

Answers

Answer:

They are parallel.

Step-by-step explanation:

They have the same slope, 7, and different y-intercepts, 4, -1/4, so they are parallel.

Which of the following terms is defined as a set of all points in a plane that are a given distance from a point?

O Circle
O Line segment
O Parallel line
O Ray

Answers

Answer:

circle

Step-by-step explanation:

any point on the circumference of a circle is equidistant from the centre.

The answer is circle

A cup holds 2\9 litre of water. How many cups of water can be filled with 3litre bottle

Answers

Answer:

the answer might be 13.5

Sandy rakes and bags the leaves on her front lawn in 30 mins. Randy does the same job in 20 mins. How many fewer minutes will it take to complete the same job if sandy and randy work together than if sandy works alone?

Answers

The number of minutes it take to complete the same job if sandy and randy work together than if sandy works alone is 18mins.

How to calculate time?

According to this question, Sandy rakes and bags the leaves on her front lawn in 30 mins while Randy does the same job in 20 mins.

To calculate the time it will take both of them to work together, we use the following expression;

1/30 + 1/20 = 1/x

x = 12mins

Therefore, it will take 30 - 12 = 18 mins, to complete the same job if sandy and randy work together than if sandy works alone.

Learn more about time at: https://brainly.com/question/28050940

#SPJ1

Aaron has a loan of 1250£ He pays simple intrest 0.5% per month for eight months Calculate the total amount of interest Aaron pays​

Answers

Answer: 50 Pounds

Explanation: First we need to find out how much 0.5% of 1250 is. 0.5% of 1250 is 6.25£. Since that’s per month, and Aaron pays interest for 8 months, we multiply by 8. So 6.25 times 8 is 50.

Instructions: Given the coordinate points of the preimage, use the transformation given
to provide the points of the image.

Answers

The rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)

How to determine the coordinates

Note that rotation about in clockwise 90 degrees direction when M(h , k) rotated about the origin, the new rotation coordinates would be in the form M' (k , -h)

Coordinates of the preimage were given as;

H ( -3, -2)

I ( 1, 1 )

J ( 0, -4)

The coordinates after a 90 degrees rotation about the origin, would be

For H ( -3, -2)

h = - (-3) = 3

k = -2

H' = ( -2, 3)

For I ( 1, 1)

h = - (1) = -1

k = 1

I' = ( 1, -1)

For J ( 0, -4)

h = - (0) = 0

k = -4

J' = ( -4, 0 )

Thus, the rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)

Learn more about transformation here:

https://brainly.com/question/4289712

#SPJ1

Q.3. The slope of line is ¾ and the y - intercept is equal to 4 . Write the equation of the line and draw the graph of the line.

help me now!!

Answers

The equation of line with the given slope and y-intercept is y = (3/4)x + 4.

What is the equation of the line?

Given that;

Slope = 3/4y-intercept b = 4Equation of the line y = ?

We use the formula for equation of line to determine the equation.

y = mx + b

Where m is the slope and b is the y-intercept.

We plug in our values

y = mx + b

y = (3/4)x + 4

Therefore, the equation of line with the given slope and y-intercept is y = (3/4)x + 4.

Learn more about equation of line here: https://brainly.com/question/2564656

#SPJ1

A researcher randomly assigns participants to complete a crossword puzzle with or without music. The time it takes to complete the crossword puzzle is compared between groups. The experimental group in this example is:

Answers

Answer:

The music group

Step-by-step explanation:

The experiment group is the group where something is being modified, so the music group is the one having their environment modified.

1. Find the Principal when S.l. = 100 Rate = 5% per annum Time = 2 years.​

Answers

The principal is 1000

SI = PRT/100

Simple interest = 100

Rate = 5%

Time = 2 years.

SI = PRT/100

100 = (P × 5 × 2)/100

10000 = 10P

P = 10000/10

P = 1000

Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation 9x = 27.
Which of the following systems could have led to this equation?
O
9x + 2y = 21
-9x - 2y = 21
10x - y = 15
x+y = - 12
7x - 2y = 15
x + y = 6
4x + 3y = 24
-5x - 3y = 3

Answers

The system of equation that could have led to the equation 9x = 27 is

7x - 2y = 15

x + y = 6

The correct option is the third option

7x - 2y = 15

x + y = 6

Solving systems of equations

From the question, we are to determine the system that could have led to 9x = 27


1.

9x + 2y = 21

-9x - 2y = 21

Subtracting, we get

9x + 2y = 21

-9x - 2y = 21

-------------------

18x + 4y = 0

2.

10x - y = 15

x + y = - 12

Subtracting, we get

10x - y = 15

x + y = - 12

---------------------

9x -2y = 27

3.

7x - 2y = 15

x + y = 6

Here, multiply the second equation by 2

2 × [x + y = 6]

2x + 2y = 12

Now, add to the first equation

7x - 2y = 15

2x + 2y = 12

------------------

9x = 27

4.

4x + 3y = 24

-5x - 3y = 3

Subtracting, we get

4x + 3y = 24

-5x - 3y = 3

---------------------

9x + 6y = 21

Hence, the system of equation that could have led to the equation 9x = 27 is

7x - 2y = 15

x + y = 6

The correct option is the third option

7x - 2y = 15

x + y = 6

Learn more on Systems of equations here: https://brainly.com/question/12691830

#SPJ1

when x=-1 what is the value of y?

Answers

Answer: y=3

Step-by-step explanation:

The x-axis is on the horizontal line, and the y-axis is on the vertical line. On the horizontal line at -1, just go up until you find where y is located.

By doing this, you can find that y=3.

Answer:

Step-by-step explanation:

All we have to do is find the point on the line where x = -1. If we know this, we can see how high the point is (i.e., find it's y-value). Then, we would know the value of y.

If we draw a vertical line from where x equals -1, we see that it crosses the line at point (-1, 3). This means that we can draw a line from the point to the number -1 on the x-axis and another line from the point to the number 3 on the y-axis.

Hence, the y-value when x=-1 would be 3.

There are 5 different families of triplets at a triplets convention. Each triplet shook hands with all the other triplets, except his or her siblings. How many handshakes took place?

Answers

There is a total of 90 handshakes.

How many handshakes took place?

There are 5 sets of triplets.

If we select one of the sets, each of the triplets will have one handshake with the other 12 people. So we have 36 handshakes at this point.

Now we only care for the other 4 sets.

We select one set again, each triple on that set will have one handshake with the other 9 people, so for the 3 triplets, we have a total of 27 new handshakes.

For the remaining 3 sets we do the same, this time we add 18 handshakes.

Finally, there are 2 sets of triplets, this time we add 9 new handshakes.

To get the total number of handshakes we need to add them all:

36 + 27 + 18 + 9 = 90

There is a total of 90 handshakes.

If you want to learn more about additions:

https://brainly.com/question/25421984

#SPJ1

Using a table, find the range of the function for the given domain:
f(x) = 2x² -7 with domain: x = {-4, -2, 0, 3}
OA.y=(-5, 1, 11, 25}
OB. y = {4, 2, 0, -3)
OC. y =(-11,-9, -7,-4}
OD.y = (25, 1, -7, 11)

Answers

 The range of the function f(x) = 2x² -7 with domain: x = {-4, -2, 0, 3} is y = (25, 1, -7, 11). Option D is the correct answer.

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we substitute an x value, this set of values is what the function outputs. The y values are those.

In light of the query

x VS F(x) = 2x² -7

-4     F(4) = [tex]2(-4)^2 -7[/tex] = 25

-2     F(-2) = [tex]2(-2)^2 -7[/tex] = 1

0      F(0) = [tex]2(0)^2 -7[/tex] = -7

3      F(3) = [tex]2(3)^2 - 7[/tex] = 11

∴ Option D, y = (25, 1, -7, 11)

Learn more about Domain and Range here :  

https://brainly.com/question/1632425

#SPJ1

Someone pls pls PLS, help, its urgent!!! ASAP!!
“Complete the proof (geometry)”

Answers

1) [tex]\overline{AB} \perp \overline{BD}[/tex], [tex]\overline{AB} \cong \overline{DB}[/tex], [tex]\overline{AC} \cong \overline{DE}[/tex] (given)

2) [tex]\angle ACB[/tex] is a right angle (perpendicular lines form right angles)

3) [tex]\triangle ABC[/tex] and [tex]\triangle BED[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\therefore \triangle ACB \cong \triangle DEB[/tex] (HL)

5) [tex]\therefore \angle ACB \cong \angle DEB[/tex] (CPCTC)

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
Help
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.

Answers

The probability of drawing two yellow balls if they're not replaced exists 1/45.

What is probability?

The probability exists in the analysis of the possibilities of happening of an outcome, which exists accepted by the ratio between favorable cases and possible cases.

Number of yellow marbles be 2

Number of pink marbles be 3

Number of blue marbles be 5

Total number of marbles = 2+3+5 = 10

The probability of removing the first yellow ball = 2/10

Since the ball exists not replaced, that indicates there choice be 9 balls left and 1 yellow ball left.

Probability of drawing the second yellow ball = 1/9.

Probability of drawing two yellow balls if they're not replaced

= 2/10 × 1/9

= 2/90

= 1/45

The probability of drawing two yellow balls if they're not replaced exists 1/45.

To learn more about probability refer to:

https://brainly.com/question/17030782

#SPJ9

a data set has 8 numbers and 2 is the highest number what is the lowest?

Answers

The lowest number in the data set is -5.

How to illustrate the information?

Let the data sets be consecutive numbers that has a highest number of 2.

Consecutive numbers mean that the.numvers follow each other. This will be:

-5, -6, -7, -8, -9, 0, 1, 2

Based on the numbers illustrated above, the lowest number is -5.

Learn more about data on:

brainly.com/question/19243813

#SPJ1

Select all the correct answers.
Which expressions are equivalent to this exponential expression?

Answers

Answer:

The answer that you have highlighted is correct.

Step-by-step explanation:

When you are dividing, you divide the exponents

-10 - (-4)

-10 + 4

-6

Write the equation of the line that has a slope of -2 and passes through (-4, -5)

Answers

Answer: [tex]y+5=-2(x+4)[/tex]

Step-by-step explanation:

See attached image.

Find the interval in which the function is negative.
f(x)=x²-3x - 4
1. (-∞0, -1)
II. (-1, 4)
HI. (4, ∞)
Oll only
III only
OLI
LIII

Answers

Answer: II only: (-1, 4)

Step-by-step explanation:

x^2 - 3x - 4 is a parabolic function. When you factor the equation, it comes out to f(x) = (x-4)(x+1). Thus, the function as zeros at -1 and 4. Since the a value is positive, the parabola points up. Therefore, if you graph the function, it is negative between -1 and 4, so the answer is II only

Which could be the entire interval over which the function, f(x), is positive? a 2-column table with 8 rows. the first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. the second column is labeled f of x with entries negative 2, 0, 2, 2, 0, negative 8, negative 10, negative 20.

Answers

The entire interval over which the function, f(x), is positive is (-∞,1).

What is a function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The set X is referred to as the function's domain, while the set Y is referred to as the function's codomain.

According to the question,

The function has positive values corresponding to the interval from negative infinity to one.

Learn more about functions here:

https://brainly.com/question/6561461

#SPJ4

3 is subtracted from the product of 8 and a number

Answers

Answer: (8 * x) -3

Step-by-step explanation:

The term product refers to multiplication, so let the unknown number be x and multiply it by 8. Then you can subtract 3 afterwards.

*= multiplication

Use the drawing tools to form the correct answer on the provided graph.
Graph the line that represents the equation y= -2/3x + 1

Answers

The graph of the line is shown in the attached image.

Given that the equation of the line y=-2/3x+1.

The line equation is an algebraic representation of the set of points, which together form a line in an exceedingly frame of reference.

First, we'll take the intercepts of equation y=-2/3x+1 . find

Find the y-intercept

The y-intercept is that the value of y when the worth of x is adequate zero

For x=0

y=-2/3(0)+1

y=1

The y-intercept is that the point (0.1)

Find the x-intercept

The x-intercept is that the value of x when the worth of y is adequate to zero

For y=0

y=-(2/3)x+1

0=(-2/3)x+1

-1=(-2/3)x

x=3/2 or 1.5

The y-intercept is that the point (1.5,0).

To plot the line on a graph, draw the intercepts and connect the dots as shown within the figure.

Therefore, the graph for the line y=-(2/3)x+1 is attached below.

Learn more about graph of line from here brainly.com/question/13438608

#SPJ1

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true?

Answers

Based on the calculations, the true statements are:

A. The angular velocity is 10π rad/sec.

E. The angular velocity is 600π rad/min.

How to calculate the angular velocity?

Mathematically, angular velocity can be calculated by using this formula:

ω = θ/t

Where:

ω is the angular velocity.θ is the angle.t is the time.

Note: 1/2 revolution = 0.5 × 2π = π radians.

Substituting the given parameters into the formula, we have;

ω = θ/t

ω = π/0.1

ω = 10π rad/s.

Next, we would convert the time in seconds to minutes:

ω = 10π × 60

ω = 600π rad/min.

Read more on angular velocity here: https://brainly.com/question/6860269

#SPJ1

Complete Question:

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true? Check all that apply.

A. The angular velocity is 10π rad/sec.

B. The angular velocity is 10π rad/min.

C. The angular velocity is 60π rad/min.

D. The angular velocity is 600π rad/sec.

E. The angular velocity is 600π rad/min.

Answer:

A,

Step-by-step explanation:

Edge202

What is the recursive formula for the geometric sequence with this explicit
formula?

Answers

The recursive formula for the geometric sequence is given as follows:

D.

[tex]a_1 = 9[/tex].[tex]a_n = a_{n-1} \times \left(-\frac{1}{3}\right)[/tex]

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

With a recursive formula, it is given by:

[tex]a_n = a_{n-1} \times q[/tex]

For this problem, the first term and the common ratio are:

[tex]a_1 = 9, q = -\frac{1}{3}[/tex]

Then the recursive formula is:

D.

[tex]a_1 = 9[/tex].[tex]a_n = a_{n-1} \times \left(-\frac{1}{3}\right)[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

#SPJ1

What is the -value in the solution to this system of linear equations?y

4 + 5 = −12xy

-2 + 3 = −16xy

Answers

The xy-value in the solution to the given system of linear equation shows that x = 2 and y = -4.

What is a system of linear equations?

Whenever two or more linear equations operate simultaneously, we create a System of Linear Equations. These equations must contain one or more similar variables in order to operate together.

When solving a system of linear equations, our objective is to simplify two equations having two variables to a single equation having one variable. Because each equation in the system includes two variables, substituting an expression for a variable is one technique to minimize the number of variables in an equation.

From the given information:

4x + 5y = -12  --- (1)

-2x + 3y = -16 ----- (2)

From equation (1)

4x+5y+(−5y) = −12 + (−5y)       (Add -5y to both sides)

4x = −5y − 12

Divide both sides by 4

[tex]\mathbf{\dfrac{4x}{4}= \dfrac{-5y-12}{4}}[/tex]

[tex]\mathbf{x= \dfrac{-5}{4}y-3}[/tex]

Replacing the value of x in [tex]\mathbf{ \dfrac{-5}{4}y-3}[/tex] into equation (2); we have:

[tex]=\mathbf{-2(\dfrac{-5}{4}y-3)+3y=-16}[/tex]

[tex]\mathbf{\dfrac{11}{2}y+6 =-16}[/tex]

Simplifying both sides of the equation, we have:

[tex]\mathbf{\dfrac{11}{2}y+6-6 =-16-6}[/tex]

[tex]\mathbf{\dfrac{11}{2}y=-22}[/tex]

Cross multiply

11y = -44

y = -4

Replace the value of y = -4 into [tex]\mathbf{x= \dfrac{-5}{4}y-3}[/tex]

[tex]\mathbf{x= \dfrac{-5}{4}(-4)-3}[/tex]

x = 2

Learn more about systems of linear equations here:

https://brainly.com/question/14323743

#SPJ1

My fruit basket contain apples and oranges.The ratio apples to oranges is 3:8.When I remove one apple the ratio changes to 1:3 .How many apples are in the basket

Answers

The number of apples in the basket are; 24 apples

How to simplify simultaneous equations?

Let there be X number of apples and Y number of oranges.

Thus by the given ratio we can say that;

x/y = 3/8   -----(1)

(x — 1)/y = 1/3

3x — 3 = y   ----(2)

Substitute 3x - 3 for y in eq 1 to get;

x/(3x - 3) = 3/8

8x = 9x - 9

9x - 8x = 9

x = 9

Thus;

y = 3(9) - 3

y = 24 apples

Read more about Simultaneous Equations at; https://brainly.com/question/148035

#SPJ1

Solve the linear equation
x/2 + 2y/3 = -1 and x - y/3 = 3​

Answers

x/2+2y/3=-1

Multiply by 6

3x+4y=-6-»eq(1)

And

x-y/3=3

Multiply by 3

3x-y=9-»eq(2)

eq(1)-eq(2)

5y=-15y=-3

Then

3x+4(-3)=-63x-12=-63x=6x=2

From Equation 1

[tex] \dfrac{x}{2} + \dfrac{2y}{3} = - 1 [/tex]

[tex] \dfrac{3x + 4y}{6} = - 1[/tex]

[tex]3x + 4y = - 6 [/tex]

From Equation 2

[tex]x - \dfrac{y}{3} = 3 [/tex]

[tex] \dfrac{3x - y}{3} = 3[/tex]

[tex]3x - y = 9[/tex]

By eliminating ;;

For that multiply equation 2 by 4

12x - 4y = 36 _(3)

By taking equation (1) and (3)

3x + 4y = -6

12x - 4y = 36

__________

15x = 30

x = 30/15

x = 2

Putting the value of x in 2

[tex]3(2) - y = 9[/tex]

[tex]6 - y = 9[/tex]

[tex]6 - 9 = y[/tex]

[tex]-3 = y[/tex]

So The value of x = 2 and y = -3

Mr. Omwoyo, the principal of Maili Mbili Secondary would wish to cover the floor of the new administration block using square tiles. The floor is a rectangle of sides 12.8m by 8.4m. Find the area of the largest tiles in cm² which can be used to fit exactly without cutting. ​

Answers

Answer:

hi play truth and dare to with me in g met

A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship that travels away from Earth at a speed of 0.60c for 10 years (as measured by Courtney). At the end of the trip, Courtney is 20 years old. How old is Andrea

Answers

The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

How can Andrea's new age be calculated?

The time dilation using the Lorentz transformation formula is presented as follows;

[tex]t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } } [/tex]

From the question, we have;

The spaceship's speed, v = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

[tex]\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8[/tex]

The time that elapses as measured by Andrea = 8 years

Andrea's age, A, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

Learn more about the Lorentz transformation formula here:

https://brainly.com/question/15544452

#SPJ1

Other Questions
what is the centimeters per hour. PICTURE. I REALLY NEED HELP Solve the system of equations.10y+9x=910y+5x=5 Due in a few minutes-please help me solve these geometry problems!!! T_____________(almorzar) en casa todos los das. * Please help quick will give brainliest! f(x)= 2x+3/x-1, x 1, dan f^-1 adalah invers dari ftentukan :A. infers fungsi FB. Nilai dari f^-1 (-3) find the height of a parallelogram with a base 24 inches and the area of 432 square inches Help me 20 points please help me can someone help right away!! please!! Penelope was reading a book at a rateof 1.2 pages per minute. At that rate,how many pages can Penelope read in5 minutes?I NEED THIS LIKE NOWW IT FOR A TESTTT Do you agree / disagree - Light is always the same, even when it is emitted by different light sources (like the sun and a light bulb). Cora paid 16/100 of a dollar to buy a postcard from Grand Canyon National park in Arizona. What is 65/100 written as adecimal in terms of dollars? Which group of Native Arkansas founded the Village of Kappa? Okay it might be simple but can yall help and give me a real answer plz UwUI'll make you brilintest UwU A plane flew 1,236 miles in 4 hours.what was the planes average speed (rate) in miles per hour? Gwen read the first 15 pages of a book in a bookstore and decided to buy it. Since she bought it, she has been reading 30 pages per day. For which of these functions does y represent the total number of pages Gwen has read if x represents the number of days since she bought the book?A. x = 15y + 30b. x = 30y + 15c. y = 15x +30d. y = 30x +15 Natalia compr cierta cantidad de chocolates que cuestan $8 cada uno al pagar con un billete de $50.00 al siglo $18 de cambio Cul es la ecuacin que permite obtener la cantidad de chocolates que compr Natalia? One fifth of the sum of 3 and a number Which amendment would deal with a criminal suspect returning to the country and state where he/she is suspected of committing a criminal act?PLEASE HELP I'LL GIVE YOU BRAINLISIT IF YOU ANSWER FIRST please help me asap!!!