Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(x)).

Using (x) = 2x + 7 And G(x) = X 3, Find (g(x)).

Answers

Answer 1

Answer:

We get [tex]\mathbf{f(g(x))=2x+1}[/tex]

Option A is correct answer.

Step-by-step explanation:

We are given:

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

We need to find f(g(x))

f(g(x)) can be found by putting x in f(x) equal to g(x)

Now, finding f(g(x))

[tex]f(x)=2x+7\\Put\:x=x-3\\f(g(x))=2(x-3)+7\\f(g(x))=2x-6+7\\f(g(x))=2x+1[/tex]

So, we get [tex]\mathbf{f(g(x))=2x+1}[/tex]

Option A is correct answer.


Related Questions

Please help! ill give brainliest to anyone with correct answer ASAP!!!

Answers

Answer:

5.25x + 55 is greater than or equal to 399

Step-by-step explanation:

55 is a fixed amount of money that Amelia already has so that will be added to the part of the eqaution: 5.25x.

Her total should be greater than or equal to $399

I NEED HELP PLEASE !!!!

Answers

Answer:

C.

Step-by-step explanation:

If all points on the circle are the same distance from point S, it means that point S is the centre of the circle.

Consequently, the circle would be named after point S, being the centre of the circle.

Therefore, the correct name of the circle would be circle S (OS).

C is the answer.

The model below represents the equation 3x + 2 = 11.
>
D
What is the second step in finding the value of x?
A subtract 2 candies from each side of the model
3 add 2 candies to each side of the model
. subtract 11 candies from each side of the model
divide the candies equally among the 3 cans

Answers

Answer:

side

Step-by-step explanation:

3.5s + 5.1s simplified

Answers

Answer:

\[v(t)=\underset{\text{Δ}t\to 0}{\text{lim}}\frac{x(t+\text{Δ}t)-x(t)}{\text{Δ}t}=\frac{dx(t)}{dt}.\]

Step-by-step explanation:

8.6s hope this help you

Simplify 3/100 + 33/100 Correct to
1 decimal place​

Answers

Answer:

9/25 = 0.36

Step-by-step explanation:

CLICK THAT CROWN AND THANK YOU BUTTON

Answer:

9/25 = 0.36

Step-by-step explanation:

Special Right Triangles
Need help don’t understand this.

Answers

Answer:

d

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.

Thus the 2 base angles are congruent with measure 45°

Hence y = 45

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

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{2}[/tex]

Beth pays a total of $20 to rent skates and go ice skating for 2 hours.
If the cost for the skate rental is $6, what is the cost for each hour of ice skating?
Part A
Write and solve an equation to find the cost for skating for 2 hours before the skate-rental cost. Use s for the unknown number.
Hint
=S
S=
7
8
9
5
6
No

Answers

Answer:

for 2 hours of skating it will be 12$

Step-by-step explanation:

6+6=12 . (:

HELP 5TH GRADE QUESTION!!!

Question 2 (1 point)
What is the decimal number 34.576 written in expanded form?
a
3x10 + 1x1 + 5 x
+ 4x
1.000
*(+)+7x(100)
xo
b
3x10 + 3 x 1+ 6 x
+ 7x
+ 5x
1,000
с
1
3x10 + 7x1 + 5 x
+ 4x
1
+ 6x
1,000
100
d
3x10 + 4x1+5 x
+ 7x
(100)
+ 6 x
1.000)
1
1,000

Answers

Answer:

Step-by-step explanation:

30 points plz help
Use the draggable points to graph the equation
1
y=
2x+3

Answers

Answer:

Yeah its 7 because when you add 3+2=5, and x is 2, its 7

Do these 3side lengths from a right triangle 13,80and 81

Answers

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 81

81² = 6561

13² + 80² = 169 + 6400 = 6569

Since 6561 ≠ 6569 then they do not form a right triangle

Using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.

What is reverse Pythagoras theorem?

Reverse Pythagoras theorem states that "the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right triangle".

What is right triangle?

A triangle in which "one angle is 90° and the other two sides are perpendicular to each other is called right triangle."

According to the question,

Three sides lengths of triangle 13, 80 and 81. In order to find this triangle is right triangle or not.

Let a = 13, b=80, and c = 81

Reverse Pythagoras theorem  c² = a² + b²

(81)² = (13)² + (80)²

6561 = 169 + 6400

6561 ≠ 6569

Hence, using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.

Learn more about reverse Pythagoras theorem here

https://brainly.com/question/343682

#SPJ2

please help will give brainly
Graph the system of linear inequalities.
y > x + 2
y ≥ x − 2

Answers

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

[tex]y \geqslant 1x + 2[/tex]

cancel out the +2 by using the opposite sign and add a 1 in front of the x

Who's taking geometry and can help me?

Answers

i seen your comment on the other persons thing, it should be 60° :) correct me if i’m wrong!

Write the slipe-intercept form of the equation of each line given the slope and y-intercept.

Please helppp!!!! i will give brainliest!!

Answers

Answer:

1. -1/2

2. 3/-2

3. 1/2/2

4. 7/2

Step-by-step explanation:

Hope it helped

The set of ordered pairs below represents a function.
(5,8) , (-8,1) , (15,-4), (-1,16), (17,7)
Mariela claims that she can add any point to the set and it will still represent a function.
Which of the following points can be used to show that Mariela's claim is incorrect?
Select all that apply.
(1,1)
(-8,6)
(17,-3)
(-5,8)
(-1,-16)

Answers

(1,1)

(-1,-16)

(-5,8)

(-8,6)

(17,-3)

CAN SOMEONE PLEASE HELP ME???

Answers

Answer: all real numbers

Step-by-step explanation: the domain is always all real numbers

what is 35% of 60
whoever gets right will get brainliest

Answers

Answer:

21

Step-by-step explanation:

To do this, convert 35% to a decimal, so 35% = 0.35. Then, you just have to multiply 0.35*60 = 21

The answer to this is 21

I need helppppp........

Answers

Answer:

41*

Step-by-step explanation:


Tyler's brother earns a commission. He makes 2.5% of the amount he
sells. Last week, he sold $900 worth of shoes. How much was his
commission?

Answers

Answer:$22.50

Step-by-step explanation:

2.5/100=0.025

900*0.025=22.50

so he made $22.50

which expression is equivalent to (3a+7) (2a-5)?

Answers

If you want me to simplify this is the answer.... 6a^2-a-35

Rose went on a shopping trip to Richmond. She purchased a calculator originally priced at $100 but discounted 80%. If sales tax in Richmond is 15%, what was the total cost? $

Answers

Answer:

The total cost is [tex]\$23[/tex].

Step-by-step explanation:

Given: Original price of calculator is [tex]\$100[/tex], discount is [tex]80\%[/tex] and the sales tax is [tex]15\%[/tex].

To find: The total cost

Solution:

We have,

Original price of calculator[tex]=\$100[/tex]

Discount [tex]=80\%[/tex]

Sales tax [tex]=15\%[/tex]

Now, first we need to find the cost after applying the discount.

So, discount [tex]=\frac{80}{100}\times100=\$80[/tex]

Therefore, the cost after applying the discount

[tex]=\$100-\$80=\$20[/tex]

Now, we have to find the sales tax. Therefore,

Sales tax [tex]=\frac{15}{100}\times20=\$3[/tex]

So, the total cost is [tex]\$20+\$3=\$23[/tex].

Hence, the total cost is [tex]\$23[/tex].

Answer:

$23

Step-by-step explanation:

Hope this helps

write a similarly statement comparing the two triangles​

Answers

Answer:

C. ΔBDC+~+ΔEDA

Step-by-step explanation:

Two triangles are said to be similar if their sides and angles are relation in a definite proportion. So that, comparing the triangles (ΔBDC and ΔEDA) in the given diagram;

<B ~ <E

<C ~ <A

D is a common angle to both triangles (right angle).

Also,

BC ~ EA

DC ~ DA

BD ~ ED

Thus, the statement that compares the two triangles is:

ΔBDC+~+ΔEDA (similarity property)

what is the difference between an isosceles triangle and an equilateral?​

Answers

A triangle that has 2 sides congruent is called an isosceles triangle.

A triangle that has all 3 sides congruent is called an equilateral triangle.

I have attached a picture below which will help you.

Please help!!!!! will give brainliest!!! thank you so so so much, I really appreciate it

Answers

Answer:

C

Step-by-step explanation:

Firstly, we will identify the angle that has the given cosine value

From what we can see, the arc cos of this value is 45 degrees

but, as we can see, the value is negative

On the quadrants, the value of cosine is negative on the 2nd and 3rd quadrant

2nd quadrant ranges from 90 - 180

That is pi/2 to pi

3rd ranges from 180 to 270

That is pi to 3pi/2

Kindly recall, we are considering angles from -360 to 360

So what this mean is that we will consider angles that are negative of what we have as positive angles on the first and fourth quadrant on which cosine is positive

Thus, we have the following;

5pi/4 is same as 225 degrees

This is on the 3rd quadrant, and cosine is negative there

7pi/4 is same as 315 and this is on the fourth quadrant

This is expected to be negative because normally, cosine is positive on that axis and what we have should be negative

3pi/4 is same as 135

This is on the second quadrant and normally, cosine is negative here so we do not need to negate the angle measure

pi/4 is on the first quadrant and cosine is positive here;

Since the value we have here is positive, we have to negate the angle measure

So the correct angles are;

negative pi/4

positive 3pi/4

positive 5pi/4

negative 7pi/4

Help!!!!!! Find x and y so the quadrilateral is a parallelogram.

Answers

Answer:

Conclusion:

The value of x = 7The value of y = 4

Step-by-step explanation:

Given

The parallelogram PQRS

We know that the diagonals of a parallelogram bisect each other.

Therefore,

RT = TP

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

The value of x = 7The value of y = 4

I just learned this kind of confused :(

Answers

Answer:

9.4247

Step-by-step explanation:

c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.

HEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLP

1 Evaluate the following algebraic expression: 12 + y4 - 6 When Y=3

Answers

Answer:

your answer would be 6

Step-by-step explanation:

(3)4-6

12-6

6

Answer:

I think it would be 18

Step-by-step explanation:

3 x 4 =12

12 + 12= 24

24 -6=18

Helpp pls????????????

Answers

Answer:

It just means that it is not equal to each other so the equation is false.

Step-by-step explanation:

The equal sign with a line through it means that they aren't the same. -12 is a different number from 12 so they can't end up being the same in the end of the equation.

Hope this helps!

Each side length of the triangle is doubled. What is the area of the new figure?

Answers

Answer:

I think it's 3,600

Step-by-step explanation:

multiplication

Solve the following proportion: 8/r = 18/12

Answers

Answer:

r=16/3 if u want me to explain i can

Step-by-step explanation:

Simplify  18/12 to 3/2

8/2=3/2

Multiply both sides by r.

18=3/2r

Simplify 3/2r to 3r/2

8=3/2r

Multiply both sides by 2.

8×2=3r

Simplify  8 x 2 to 16

16=3r

Divide both sides by 3

so the answer is r=16/3

There are 48 jelly beans in a jar. The ratio of jelly beans
that are purple to the jelly beans that are not purple is
1:3. How many jelly beans are purple?

Answers

There would be 16 purple Jelly Beans.
Other Questions
Tutorial Service is considered as what type of product? PLEASE HELP QUICK!Complete the following Punnett square,show the genotypes produced by the previous question. Assume the agouti rabbit is female. Place your answers in their correct spots on the grid. The grid is below. Please help me. On a coordinate plane, the field is 1 unit up and 1 and one-half units to the left. The playground is 2 units to the left and 0.5 units down. The parking lot is 1 and one-half units to the right and 2 units up. The swimming pool is 1 and one-half units to the right and 1 unit up. The clubhouse is 2 and one-half units to the right and 1 unit down.The is located at (112, 2) Which of the following best describes a change in human society because ofthe Neolithic Revolution?A. Before the Neolithic Revolution, people lived in organzedsocieties; after the Neolithic Revolution people had to migratefrom place to place.O B. Before the Neolithic Revolution, people had developed manyspecialized jobs in society; after the Neolithic Revolution, peopleshared the jobs of hunting and gathering food.C. Before the Neolithic Revolution, people obtained food by huntingand gathering; after the Neolithic Revolution, people domesticatedplants and animals.OD. Before the Neolithic Revolution, people developed complex socialhierarchies; after the Neolithic Revolution, people had more socialequality. Plot the points (0, 5) and (2, 4) on the coordinate plane. Do you think it's better for a young designer to use free, open-source art programs or to pay for commercial programs? Explain your answer, but come up with at least one counterargument that forces you to defend your position when you explain why you think one option is better than the other. Find the product: eight multiplied by seven tenths Leave your answer as an improper fraction. fifteen tenths fifty six eightieths one tenth fifty six tenths Demarcus went out to dinner at a restaurant with his family. Their bill, including tax, totaled $32. If the family wants to leave their server a 20% tip, what will be the total cost of the meal? if you do art please follow If poetry comes out of the deepest places in the human soul and experience, shouldn't it be as important to learn about one another's poetry, country to country, as one another's weather or gross national products? The diction used in this sentence helps to create a tone that is Help a girl out this is 9th grade math is really appreciate it Andre is choosing an outfit from 2 pants, 2 shirts, and 2 pairs of shoes. Pants Shirts Shoes Jeans Polo Sneakers Black pants T-shirt Flip-flops How many possible combinations are there? There are possible combinations. Lots of points This is a letter written to a government representative in the U.S. Do you agreewith this writer? Please write 2 or 3 sentences in Spanish answering this question.You have learned present tense and preterite tense (simple past) and presentprogressive, (I am going). Do not use any tense that you have not learned in yourinstruction. If you do use a more advanced tense, I will not count your sentence/scorrect. I am assuming that students in Spanish I have beginning skills - presenttense, past tense, present progressive tense and basic vocabulary of 200-400 words, contributions of emperor constatine to art Please answer and show your work, thank you. Heat traveling through a pan to warm food in the pan is an example of what kind of heat transfer? A. Convection B. Radiation C. Insulation D. conduction Which statement best evaluates the effectiveness of this conclusion paragraph?Thesis: Stores across the country should switch from using plastic bags to using paper bags. Main points: 1. The energy cost of making plastic bags 2. How plastic bags contribute to litter3. The benefits of paper bagsConclusion: To summarize, plastic bags have a high energy cost and contribute to the nation's litter problem. Furthermore, paper bags have many more benefits than plastic bags. Stores, and not just customers, should make the right choice: paper, not plastic.A. This conclusion is effective because it restates the thesis statement in a new way.B. This conclusion is ineffective because it does not summarize the main points of the essay.C. This conclusion is ineffective because it fails to provide a satisfying close.D. This conclusion is effective because it adds new information not addressed in the main points. Find the value of x and y Why did the United Nations have difficulty in drafting a definition of terrorism1)Many of the member countries harbor terrorists)2)The characteristics of terrorism are hard to define3)Some military activities have been mistabeled as terrorism,4)The terrorist label has been indiscriminately applied to many groups In large hotels, who is responsible for the recruitment of reservations staff?A. the front office managerB. the general managerC. the human resources managerD. the reservations manager