[tex]f(x) = 4x + 3[/tex]
[tex]g(x) = 5x - 4[/tex]
[tex]fg(x) = 20x + p[/tex]


Find the value of
[tex]p[/tex]


Answers

Answer 1

Let's see

[tex]\\ \rm\rightarrowtail (fog)(x)=f(g(x))[/tex]

[tex]\\ \rm\rightarrowtail f(5x-4)=20x+p[/tex]

[tex]\\ \rm\rightarrowtail 4(5x-4)+3=20x+p[/tex]

[tex]\\ \rm\rightarrowtail 20x-16+3=20x+p[/tex]

[tex]\\ \rm\rightarrowtail -13=p[/tex]

Answer 2

Answer:

[tex]\sf p = -13[/tex]

Step-by-step explanation:

Given functions:

[tex]\sf f(x)=4x+3[/tex]

[tex]\sf g(x)=5x-4[/tex]

[tex]\sf fg(x)=20x+p[/tex]

[tex]\sf fg(x)=f[g(x)][/tex]

This means g(x) is substituted for x in f(x).

[tex]\sf \implies f[g(x)]=4[g(x)]+3[/tex]

                 [tex]\sf =4(5x-4)+3[/tex]

                  [tex]\sf= 20x-16+3[/tex]

                  [tex]\sf =20x-13[/tex]

[tex]\sf f[g(x)]=f[g(x)][/tex]

[tex]\sf \implies 20x+p=20x-13[/tex]

[tex]\sf \implies p=-13[/tex]


Related Questions

Solve for k.

Give an exact answer.

2.5(4k+2)=12k2.5(4k+2)=12k

Answers

Answer:

The answer would be k=5/2

Step-by-step explanation:

2.5 (4k+2)12k <- distribute the 2.5 into the parentheses  

10k+5=12k <- take the parentheses out of the equation

10k-12k= -5 <- Move the like terms to one side and change the sign

-2k= -5 <- Collect the like terms & divide by -2 on both sides of the equation

k=5/2 <- Answer at the end

HELP ME WITH THIS . IF correct will get an brainliest
HURRRY

Answers

X = 1

Explanation :

when you multiply negative 2 by negative six you get twelve. when you multiply positive one by negative six you get negative six.

Answer: X = 1

Step-by-step explanation:

give other brainliest

Please answer 26. Thank you.

Answers

A=2(wl+hl+hw)

Plug in the variables in the formula.

Randall makes chilli for a cold winter night. To make 7 servings, he uses 12 1/4 cups of diced tomatoes. How many cups of diced tomatoes are needed to make one serving of chili? Answer in decimal form.

Answers

Answer:

1.25 cups of diced tomatoes

Step-by-step explanation:

1.  12 1/4 ÷ 7

2. = 49/4 x 1/7

3.  =49/28

4. =7/4

5. =1 1/4 or 1.25

I hope this was helpful

Can someone answere this please

Answers

Answer:

90

Step-by-step explanation:

Number of boxes can be filled

= (60 x 50 x 30) ÷ (10x10x10)

= 90

Answer:

90

Step-by-step explanation:

P = L×W×H

=60×50×30

P= 90,000

P= L×W×H

=10×10×10

P=1,000

90,000 ÷ 1,000 = 90

So, 90 pieces of terry in one cartoon

I think it's help

Find the LCM for the group of expressions.
Y2+2y-24;y2-16;and 2y

Answers

Answer:

its here..........,,,

Help
7. Add or subtract the following polynomials:
a. 5x2 + 3y3 - 4x2 =
b. y3 + 2y3 - 8 + 2 =
c. 9-3x - 4x + 2x - 12 =
d. -6t + 4+2 -16 + 7+ - 4+2 =

Answers

Answer:

a. [tex]x^{2} + 3y^{3}[/tex]

b. [tex]3y^{3} -6[/tex]

c. [tex]5x -3[/tex]

d. -6t - 5

Step-by-step explanation:

When a number has the same variable as another, you can add or subtract them

So for the first one, you can do

[tex]5x^{2} -4x^{2} = 1x^{2} = x^{2}[/tex]

(But don't forget the [tex]3y^{3}[/tex]!)

So it is:

[tex]x^{2} + 3y^{3}[/tex]

Continue this process for the rest of them

3. Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as
rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM
measures 25 ft. What is the area of Felipe's bedroom floor? Show all work and round your answer to
the nearest tenth.

Please helpp

Answers

Answer:

312.3 feet

Step-by-step explanation:

ML = 18 and KM = 25 so we can put together that JM = 17.35

17.35 x 18 = 312.3 ft

Hope this helps K12 students :)

Examine the following piecewise function.


A graph formed of straight line segments between the following points: (negative 8, 3), (negative 2, 8), (2, 8), (3, 0), and (7, negative 7).


© 2018 StrongMind. Created using GeoGebra.



Which statements are true?


Select all that apply.
1.The function is increasing over the interval 2≤x≤3

2.The function is increasing over the interval 2≤x≤3.

3.The function is increasing over the interval −8≤x≤−2.

4.The function is increasing over the interval −8≤x≤−2.

Answers

By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:

"The function is increasing over the interval −8≤x≤−2."

Which statements are true?

We know that our function is made of straight lines that connect:

Point (-8, 3) with (-2, 8)   {This is an increasing line}Point (-2, 8) with (2, 8)   {This is a horizontal line}Point (3, 0), and (7, -7)   {This is a decreasing line}

(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).

Then the statement that is true is:

3) "The function is increasing over the interval −8≤x≤−2."

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123

Use complete sentences to describe the use of an indirect proof.

Answers

Answer:

In an indirect proof, instead of showing that the conclusion to be proved is true, you show that all of the alternatives are false.

The indirect proof serves as a powerful tool in mathematical reasoning, allowing mathematicians to establish the truth of statements by strategically exploiting logical inconsistencies within assumed false premises.

An indirect proof is a method in math where you assume the opposite of what you want to prove, then show that this assumption leads to a contradiction or inconsistency.

This means that the opposite assumption must be false, making the original statement true.

It's a way to prove something by showing that its opposite can't be true.

Hence, Indirect proof assumes opposite, leads to contradiction, proving original statement true. Used when direct proof is challenging or problem suits contradiction.

To learn more on Indirect proof click here:

https://brainly.com/question/30340042

#SPJ3

The measure of an angle is 63.9. What is the measure of its supplementary angle?

Answers

Answer:

116.1

Step-by-step explanation:

supplementary-180

complimentary-90

180-63.9= 116.1

Please help
brainliest for correct answer

Answers

x + y = 6

y = 6 - x

substitute the x values to find the value of y

x ║ -2 ║ -1 ║ 0 ║ 1 ║ 2 ║ 3

========================

y ║ 8  ║ 7  ║ 6 ║ 5 ║ 4 ║ 3

Graph:

Question 11 . 2 p Brent is considering buying a new circular track for his model train. He estimates that the model's circumference is about 3 times the measure of the circle's diameter. With this information, Brent could derive the value of OT O length O width area Previous Next > No new data to save. Last checked at 9:51am Submit​

Answers

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

What is a circle?

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

Find out more on circle at: https://brainly.com/question/24375372

Does anyone know this? I'm stuck on it.

Answers

Answer:

For the first triangle:

Sides xz and xy are of equal length

Angles z and y are of equal measure

For the second triangle:

Sides pr and qr are of equal length

Angles p and q are of equal measure

Step-by-step explanation:

Those tiny line segments intersecting the sides indicate that those sides are equal.

Hope that helps!

In this lab, you observed how pollutants affected the ________


of water. You also modeled and observed how pollution affected freshwater sources, including surface water and the water in the _________

Answers

Answer: PH, ground

Step-by-step explanation: edge2022

In this lab, you observed how pollutants affected the" PH "of water. You also modeled and observed how pollution affected freshwater sources, including surface water and the water in the" ground "

What is water pollution?

Water pollution can be defined as the abnormal accumulation of strange elements in the water with harmful consequences to natural ecosystems.

Water pollution involves all the possible ways in which any water body can be contaminated with harmful elements.

The source of water pollution is human activities, producing the biggest damage to natural ecosystems.

Contaminating elements might be either gasses, solid material, or liquid material Such as Chemical elements, microbiota, heavy metals, and sediments affect all forms of life.

You can learn more about water pollution at

brainly.com/question/19920929

#SPJ2

helppppppppppp!

do not send links.

Answers

Answer:

0.8-0.6=0.2 or 1/5, one fifth.

Step-by-step explanation:

hope this helps

Hello people ~
factorise: : x^2 – 21x + 108​

Answers

[tex]\\ \rm\rightarrowtail x^2-21x+108[/tex]

Use midterm splitation

[tex]\\ \rm\rightarrowtail x^2-12x-9x+108[/tex]

[tex]\\ \rm\rightarrowtail x(x-12)-9(x-12)[/tex]

[tex]\\ \rm\rightarrowtail (x-9)(x-12)[/tex]

Done!

Please somebody help me

Answers

Answer:

I believe the answer is 0.35

Step-by-step explanation:

We know the total is 0.7 miles. We can assume he went back and forth only once. So divide by 2 and you get 0.35 miles

What's the slope and y-intercept of the equation 3x + 4y = 8? A) m = –3∕4; b = 2 B) m = –4; b = 3 C) m = 3∕4; b = –2 D) m = –3; b = –4

Answers

Answer:

A) m = –3∕4; b = 2

Step-by-step explanation:

The slope-intercept form is

y = mx + b, where m- slope, b- y-intercept

Convert the given equation into slope-intercept form

3x + 4y = 84y = - 3x + 8y = - 3/4x + 2

The slope is:

m = - 3/4

The y-intercept is:

b = 2

Correct choice is A

First isolate y

3x+4y=84y=-3x+8y=-3/4x+8/4y=-3/4x+2

Compare to slope intercept form y=mx+b

Slope=m=-3/4y intercept=b=2

On a circle of radius 10 feet, what angle would subtend an arc of length 6 feet?

Answers

Answer:

34.38 (rounding to the nearest hundredth)

Step-by-step explanation:

I have my work linked below, but I used to arc length formula and plugged in all known numbers. Then solved for x which will be the angle you are looking for. Hope this helps!

On a circle of radius 10 feet,  34.37° angle would subtend an arc of length 6 feet.

How to find the length of an arc?

The length of an arc formula is represented as follows

The length of arc = Ф / 360 × 2πr

where

Ф = angle, r = radius

It is given that circle of a radius of 10 feet,

The length of arc = 6 ft

Therefore,

6 = Ф / 360 × 2 × 3.14159 × 10

6 = 62.8318Ф / 360

360 x 6 =  62.8318Ф

Ф = 360 x 6 / 62.8318

Ф = 34.3784

Ф ≈ 34.37°

Learn more about the length of the arc ;

https://brainly.com/question/2899332

#SPJ4

Order their calculations from greatest to least

Leon-------Mika-------Jason------Ashley

√17 - 2-----1 + π/2 -----12/5---------2.5

Answers

Answer:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

Step-by-step explanation:

Putting a mix of rational and irrational numbers into numerical order can be done by using approximations to them of sufficient precision to be able to tell them apart.

Here, we can make the following approximations:

  √17 -2 ≈ 2.12

  1 +π/2 ≈ 2.57

Of course, the decimal value of 12/5 is 2.40, so the numbers will be arranged in order if Mika moves to the right end:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

__

Your calculator can help with this.

Please help me. I need the answer.

Answers

Answer:

Hello there! The answer is 3 seconds.

You ask 179 of your classmates how they feel about the school year being made longer. Complete the​ two-way frequency table to show the results of the survey. Use pencil and paper. Combine the very unhappy and unhappy categories into one category called dislike and combine the happy and very happy categories into one category called like. Complete a new​ two-way frequency table.

Answers

Answer:

The answer are in the file

solve pls brainliest

Answers

Answer:72

Step-by-step explanation:6 x 12=72

What is
|Ay|
in the system of linear equations below?

-8x+y=-6
3x-2y=-1

Answers

Considering the given system of equations, it is found that:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the system is:

-8x+y=-6

3x-2y=-1

In matrix form, it is given by:

[tex]\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right][/tex]

To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

C. (-8 -6 3 -1)

Step-by-step explanation:

EDG

Which of the following is involved in an informal argument for the formula for the circumference of a circle? (1 point)
Perimeter
Chord
Area
Circumference

Answers

The circumference of a circle is the same as the perimeter of the circle.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The circumference of a circle is the same as the perimeter of the circle. It is given by:

Circumference = 2π × radius = π * diameter

Find out more on circle at: https://brainly.com/question/24375372

Petra and jonhah are going on holiday to Poole
Petra buys 3 new shirts for her holiday
each shirt cost 9pound
how much does Petra pays in total





another one
Petra and Jonah has this information
home to the train station. 12 minutes
train to Poole 47 minutes
jonah says it will take less that 60 minutes in total to go from home to Poole.​

Answers

Answer:

question one

one shirt cost=9pound

3 shirts=3*9=27pound

What is the value of sin-1(1)? negative startfraction pi over 2 endfraction 0 startfraction pi over 2 endfraction π

Answers

The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

What is the value of sin (π/2)?

The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.

Suppose the value of this function is x. Thus,

[tex]x=\sin^{-1}(1)[/tex]

Solve it further,

[tex]\sin(x)=(1)[/tex]              ......1

The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

[tex]\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1[/tex]

Put this value in the equation 1,

[tex]\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)[/tex]

Thus, the range will be,

[tex]\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)[/tex]

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

Learn more about the sine values here;

https://brainly.com/question/10711389

Answer: C

Step-by-step explanation:

edge

The length of the hypotenuse in a 45°-45-90 triangle is 7sqrt10 units. One of the legs is 7sqrt5 units. What is the length of the other
leg?
O 7sqrt5units
O 14sqrt5units
O 35 units
0 70 units

Answers

Answer:

7[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the legs of a 45°- 45°- 90° triangle are congruent , then

one leg = 7[tex]\sqrt{5}[/tex]

the other leg = 7[tex]\sqrt{5}[/tex]

What is 1 3/8 written as a decimal

Answers

Answer:

1.625

Step-by-step explanation:

Other Questions
The Width of a rectangle is a third as long as the length. If the perimeter is 24 inches, what is the area of the rectangle? How and what to email teacher saying youre still sick and have a cough for a month now (keep it simple) Write the term to term rule, position-to-term (nth term) and 20thterm of the sequence 3, -1 ,-5, -9, -13 ,.... Which term describes a chemical reaction in which water is gained?A. ReductionB. HydrolysisC. DehydrationD. HydrationI am confused because I thought the answer was dehydration synthesis, but that isn't on here. Please answer as soon as possible. :) if you add 3 mL of water to 1 ml of nadh mix and get an observance of 0.2 what is the concentration of the original nadh solution The diagram shows the general structure of a lipid, which consists of two main parts. A carbon atom is double-bonded to an oxygen atom and single bonded to a hydroxyl group. Which part is circled? alcohol group fatty acid carboxyl group unsaturated lipid Calculate the % by mass concentration for each of the following solutions. Match the answers.1.25g NaCl in 100.0g of solution = [a]%ce2.50g K2Cr2O7 in 96.0g of solution = [b]%nts10.0g CaCl2 in 250.0g of solution = [c]%ns20.0g Kl in 100.Ogof solution = [d]% I need help with this math problem! Going shopping at the mall. Made me hungry.FragmentComplete Sentence good afternoon, please help me with this question and if u get it correct ill give u the brainlest How do you know what units to use for Tamara to feed her cats Which excerpt from "the life you save may be your own" contains an example of a simile? after a few minutes there was a guffawing peal of thunder from behind and fantastic raindrops, like tin-can tops, crashed over the rear of mr. Shiftlets car. "fifteen, sixteen," the old woman said. The girl was nearly thirty but because of her innocence it was impossible to guess. "i was raised thataway and there aint a thing i can do about it. My old mother taught me how to do. " "that wouldnt hardly pay for more than the gas and the hotel," he said. "it wouldnt feed her. ". molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the numbers 9 through 0 38 38 21 50 6471 66 42 47 9080 82 29 98 27 87 89 89 93 03let the numbers from --- to ----- represent a successful free throw.let the numbers from ---- to ----- represent a missed free throw.based on the simulated results, the probability that molly makes both free throws is----- or ------% Pls help meWhat is the probability of a person randomly selecting a cheesecake, putting it back, and then selecting a cookie? Express your answer as a fraction, decimal, and percent.3 are cookies 3 are cheesecake4 are apple pie can some parts of war be dignified why or why not You are given some ferrous iodide, fei2 , and are asked to extract the iron through electrolysis. what can be said about the merits of molten versus aqueous fei2 ? An experiment involves flipping a coin three times.The following tree diagram shows the possible outcomes for the experiment.What is the probability of getting exactly 2 tails?Enter your answer as a reduced fraction, like this: 3/14 Which problem can occur in nations where people maintain their traditional ethnic cultures?Traditional beliefs discourage people from implementing Western technology.Ethnic identification causes conflict among groups within a country.People avoid modern education in order to maintain traditions.Traditional cultural practices keep countries from changing. you can record your programs on _____ E-mail is an temporary message medium. please select the best answer from the choices provided t f