The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)​

Answers

Answer 1

Answer:

g(4) = 5, fg(2) = 7/-3, gˉ¹(7)​ = 2

Step-by-step explanation:

i.) g(4)= 2(4) -3

g(4) = 8 -3

g(4) = 5

ii.) fg(2)

g(2) = 2(2)-3

g(2)= 4-3

g(2) = 1

fg(2) = 2(1)+5/1-4

fg(2) = 7/-3

iii.) g(x) = 2x -3

g(y) = 2y -3

x = 2y -3

x-3 = 2y

y= (x-3)/2

gˉ¹(7)​ = ((7)-3)/2

gˉ¹(7)​ = 4/2

gˉ¹(7)​ = 2


Related Questions

What is the least number of congruency statements needed to be stated in a triangle congruency proof to prove triangles are congruent?


really not sure what the answer is

Answers

Answer:

3

Step-by-step explanation:

The answer should be 3? Geometry.

8. Find the quotient: 575 ÷ 2.5=________.

9. What is 319 divided by 14.5?________

10. What is the quotient when you divide 641.97 by 21?_________​

Answers

Answer:

8. 230

9. 22

10. 30.57

8. 230

9. 22

10. 30.57

Hope this helps!

The diagram shows a triangle.
4s+9°
3s+1°
6s+1°
What is the value of s?
the number that s is has to equal to 180 once worked out

Answers

Answer:

s=13

Step-by-step explanation:

[tex]As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13[/tex]

Find one root of the following equation x2 + 8x - 9 = 0​

Answers

Answer: was just for a challenge

Step-by-step explanation:

no

Step-by-step explanation:

[tex]x {}^{2} + 8x - 9 = 0 \\ {x}^{2} - x + 9x - 9 = 0 \\ x(x - 1) + 9(x - 1) = 0 \\ (x + 9)(x - 1) = 0 \\ x = 1 \: and \: \: \: \: - 9[/tex]


9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.

Step-by-step explanation:

x is a t-shirt

y is a hat

9x + y = 93.00

4x + y = 43.00

(9x + y) - (4x + y) = 93.00 - 43.00

9x + y - 4x - y = 50.00

5x = 50.00

x = 50.00/5

x = 10.00 [a t-shirt costs 10.00]

4x + y = 43.00

4×10.00 + y = 43.00

40.00 + y = 43.00

y = 43.00 - 40.00

y = 3.00 [a hat costs 3.00]

Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)

Answers

The answer is c I believe

please help. i would rly appreciate it. :/

Answers

No, they’re not parallel they’re perpendicular if you were to graph them this is what you’d get

7x + 14.7x^2 + 22
Standard form

Answers

Answer:

$7x+14.7x^2+22$

Step-by-step explanation:

Steps

$7x+14.7x^2+22$

which number in scientific notation represents 9,832,000?

Answers

9.832*10^6 is the scientific notation

which series has a sum of 20?​

Answers

Answer:

the first option has a sum of 20

Step-by-step explanation:

Answer:

the first one has a sum of 20

Step-by-step explanation:

Kurt says that if he starts with the number n, multiplies it by the next whole number and then adds 3 he will get 45. N(n+1)+3=45 what number makes kurts equation true?

Answers

Answer:

6

Step-by-step explanation:

we start with:

n(n + 1) + 3 = 45

n² + 1n = 42

n² + 1n - 42 = 0

n can be either 6 or -7

(n - 6)(n + 7)

since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:

n = 7 ⇒ n(n + 1) + 3 = 45

7(7 + 1) + 3 = 59 WRONG

n = 6 ⇒ n(n + 1) + 3 = 45

6(6 + 1) + 3 = 45 ✓ CORRECT

Answer:

6

Step-by-step explanation:

Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one

Answers

I believe the answers are: red/green

Hope this helps, and happy holidays:)

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

What is decreasing function?

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

Learn more about decreasing function here:

https://brainly.com/question/13391696

#SPJ2

Hey I need help in math (I’m not good at it lol)

Answers

Answer: It's B.

Step-by-step explanation:

Hope it Helps let me know if u want me to explain how i got the answer.

Consider the line segment below.

А

M

B

(7x + 8) cm

(9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of a?

Part B - What is the length of AM?

AM

cm.

Part C - What is the length of BM?

BM

cm.

Part D - Is point M the midpoint of AB? Justify your answer.

Answers

Answer:

Part A

x = 8

Part B

AM = 64 cm

Part C

BM = 64 cm

Part D

AB = AM + BM

Step-by-step explanation:

Consider the line segment below.

АM = (7x + 8) cm

BM = (9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of x?

AB = AM + BM

128 = (7x + 8) + (9x - 8)

128 = 7x + 9x + 8 - 8

128 = 16x

x = 128/16

x = 8

Part B - What is the length of AM?

АM = (7x + 8) cm

AM = 7(8) + 8 cm

AM = 56 + 8 cm

AM = 64 cm.

Part C - What is the length of BM?

BM = (9x – 8) cm

BM = 9 × 8 - 8 cm

BM = 72 - 8 cm

BM = 64 cm.

Part D - Is point M the midpoint of AB? Justify your answer.

A.............. M............... B

Hence: From the Above illustration,

M is the Midpoint because it divided AB into 2 equal parts

= AM and BM

Hence:

AB = AM + BM

is this correct? ILL MARK YOU BRAINIEST

Answers

Answer:

yes

Step-by-step explanation:

This is correct.

Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.

[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]

[tex]3.0*10^{-5}[/tex]

So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.

Q is equidistant from the sides of ZTSR. Find mZRST. The
diagram is not to scale.
PLEASE HELP ME THIS IS FOR GEOMETRY I CANT FIGURE THIS OUT

Answers

9514 1404 393

Answer:

  40°

Step-by-step explanation:

Triangles QRS and QTS are congruent (HL), so the marked angles are also congruent:

  3x +2 = 4x -4

  6 = x

Then the total angle measure of angle RST is ...

  (3x +2) +(4x -4) = 7x -2 = 7(6) -2 = 40 . . . degrees

m∠RST = 40°

Given that a=10, b=40, and A=30 degrees, how many triangles can possibly be formed?

Answers

Answer:

None

Step-by-step explanation:

The minimum requirement is 180.

a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line ​

Answers

Answer:

y-intercept = -13

Step-by-step explanation:

So you have to put it in slope-intercept form to solve.

slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.

Y= 13 I think the answer .

Which equation can you use to solve the following problem?
A group of 168 students is on a field trip. They are doing a ropes course at a local camp.
If 8 students can start the ropes course together at one time, how many groups will the students form to go through the course?

Answers

Answer is 21. 168/8, 168 students divided by 8 groups would be 21.

Answer:

21

Step-by-step explanation:

168 divided by 8

Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey's error when simplifying? Expression Simplified Expression 2 x squared minus 4 x minus 9 minus x squared + 2 x + 3 x squared minus 6 x minus 6 Mickey should have added –4 and 2 when combining the coefficients of the x terms. Mickey should have added 2 and 1 when combining the x squared terms. Mickey should have added 9 and 3 when combining the constant terms. Mickey should have added –4 and –1 when combining the x terms. Mark this and return

Answers

Full question attached:

Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?

Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3

Simplified expression: x^2 - 6x - 6

ANSWER CHOICES:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Mickey should have added 2 and 1 when combining the x^2 terms.

Mickey should have added 9 and 3 when combining the constant terms.

Mickey should have added –4 and –1 when combining the x terms.

Answer

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Explanation:

To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved

Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify

We first group and find like terms and then add and cancel out

2x²-x²- 4x+2x - 9+ 3

=x²-2x-6

Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients

Therefore the correct option is

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Answer:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Step-by-step explanation:

Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63​

Answers

Answer:

Espero y esto te ayude :) si me falto algo lo siento.

Step-by-step explanation:

Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:

100% 90%

-------------------- → ---------------------------

Precio Original Precio con Descuento?

SARAPES

- Ana: descuento (14), precio rebajado 126

Precio rebajado = 140.90 / 100 = 126

Descuento: 140 - 126 = 14

- Javier: descuento (8), precio rebajado 72

Precio rebajado = 80.90 / 100 = 72

Descuento: 80 - 72 = 8

ARETES

- Luis: descuento (5), precio rebajado 72

Precio rebajado = 50.90 / 100 = 45

Descuento: 50 - 45 = 5

- Ana: Precio original (60) , descuento (6), precio rebajado 54

Precio original: X.0,10 = 6

X = 60

Precio rebajado: 60 - 6 = 54

- Javier: Precio original (40) , descuento (4), precio rebajado 36

Precio original: X.0,10 = 4

X = 40

Precio rebajado: 40 - 4 = 36

Help me please
Make x the subject of the formula
X – 7r = bc

Answers

Answer:

x = bc + 7r

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define equation

x - 7r = bc

Step 2: Solve for x

Add 7r to both sides:                    x = bc + 7r

Will give brainliest if correct.

Answers

The sencond one is D.

The first one is probable A hope i'm right on this on.

Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?

Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000


$200.00
$260.00
$2,000.00
$2,600.00

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

 D.) $2,600.00

Step-by-step explanation:

Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7

Answers

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D

A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?

Answers

Answer:

1.8

Step-by-step explanation:

brain liest for who ever does all (NOTE: this is not a test!! ) thanks :D

Answers

I can't see what you posted it's blocked off but I could probably answer it if I knew what the questions were

Constant of proportionality characteristics what are some?

Answers

Answer: The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

What is the formula of area of a quadrant?​

Answers

Answer:

that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):



if the bank charges 5.3% interest each year?

Answers

Answer:

the balance of the loan be after one year is $7897.5.

Step-by-step explanation:

Other Questions
student measures the weight of a bag of bananas with a spring balance.Describe what is inside a spring balance and explain how it works. write the correct representation of an element x which contains 12 electrons and 16 neutrons Please help! (50 points) PS Sorry, my last question only gave 5 points. My apologies.In a farm, soy beans were the only crop that was planted on several hectares of land. A farmer noticed fungus was growing all over the soy bean fields. Predict what might happen to the soy beans and the fungus.Thanks! Name the second largest river in India ? why is it called Vridha Ganga which era in western European history is characterized by the following - no strong government existed, so feudalism arose -a period of transition between ancient and modern times - conflicts over religious beliefs A. roman empireB. the middle ages C. hundred years warD. the enlightenmentPLZZ HELPPPPPPPPPPPPP simplify I know I spelled it wrong According to the text, what is one of the reasons accurate self-knowledge is a hallmark of mental health:_________ Paul went shopping and bought two new shirts what's the subject and verb? help me pls How do the examples in this passage best support Chavezs purpose?They show the types of difficult labor that farm workers do so that people will stand up for them.They show the hardships that farm workers experience so that people will act to protect them.They show the harmful role that pesticides play in communities so that people will try to improve them.They show how the dangers of pesticides are spread so that people will work to get rid of them. Can Some one assist me in writing an ap world history dbq Solve for x helppp(10 points) Summer, an excerptby Amy LowellSome men there are who find in nature allTheir inspiration, hers the sympathyWhich spurs them on to any great endeavor,To them the fields and woods are closest friends,And they hold dear communion with the hills;The voice of waters soothes them with its fall,And the great winds bring healing in their sound.To them a city is a prison houseWhere pent up human forces labour and strive,Where beauty dwells not, driven forth by man;But where in winter they must live untilSummer gives back the spaces of the hills.To me it is not so. I love the earthAnd all the gifts of her so lavish hand:Sunshine and flowers, rivers and rushing winds,Thick branches swaying in a winter storm,And moonlight playing in a boat's wide wake;But more than these, and much, ah, how much more,I love the very human heart of man.Above me spreads the hot, blue mid-day sky,Far down the hillside lies the sleeping lakeLazily reflecting back the sun,And scarcely ruffled by the little breezeWhich wanders idly through the nodding ferns.The blue crest of the distant mountain, topsThe green crest of the hill on which I sit;And it is summer, glorious, deep-toned summer,The very crown of nature's changing yearWhen all her surging life is at its full.To me alone it is a time of pause,A void and silent space between two worlds,When inspiration lags, and feeling sleeps,Gathering strength for efforts yet to come.Which of the following best describes the speaker in "Summer"? (5 points)Appreciative of both humans and natureIn love with everything and everyoneProud of human accomplishments but disrespectful of natureReconciled to the importance of nature but attached to cities Help ASAP please! Which action led to end of the Old Regime and began the move todemocratic government?Select one:election of representatives to the Legislative Assemblyadoption of the Declaration of the Rights of Mandisbanding of the Revolutionary Tribunalcreation of the Directory Which modern democratic principle was influenced by the Roman legal code that held all citizens even the most powerful responsible for their actions Need help with 4.7 lesson practice edhesive After separating from Mexico, Texas passed laws that made it harder for slave owners to _____________ slaves. a. emancipate b. own c. abuse d. sell Examine the graph of deaths of soldiers by country in World War I. A bar graph of deaths of soldiers by country in World War One. The x-axis is labeled country with countries Russia, British Empire, France, United States, Japan, Romania, Serbia, Belgium, Greece, Portugal, Montenegro, Germany, Austria-Hungary, Turkey, and Bulgaria. The y-axis is labeled Deaths by Country from 1 to 10,000,000. Russia, British Empire, France, Germany, and Austria-Hungary have 1,000,000 deaths or more. All countries except Japan are over 10,000 deaths. Which conclusion can be drawn from the data? The nations involved in World War I suffered major losses of life. The Triple Alliance countries suffered relatively fewer casualties in the war. The Triple Entente countries suffered relatively fewer casualties in the war. The US lost more soldiers than most European nations involved in the war. PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!compare and contrast the strength of the forces between two objects with a mass of 1 kg each, a charge of 1 C, and at a distance of 1 m from each other. What conclusion can be drawn about Dr. Jekyll?a. Dr. Jekyll is competitive with people he finds threatening.b. Dr. Jekyll is an open and honest person who accepts himself.c. Dr. Jekyll is determined to appear a perfect gentleman.d. Dr. Jekyll is jealous of others successes and wants to become like themANSWER IS: c. Dr. Jekyll is determined to appear a perfect gentleman. Help find the missing lengths round to nearest tenth