Find fg(x)
[tex]f(x) = {x}^{2} + 2[/tex]
[tex]g(x) = {x}^{2} + 6x + 11[/tex]

Answers

Answer 1

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123


Related Questions

What is the next term in the sequece; 0.3, 0.5, 0.7, 0.9

Answers

Answer:

The next term would be .11

Step-by-step explanation:

Find a coordinates of the midpoint of the line segment with the given endpoints (7,4), (9,-1)

Answers

Answer:

Coordinates of midpoint are (8,1.5).

Step-by-step explanation:

Given coordinates of end points are;

(7,4) and (9,-1)

we can find the coordinates of mid-point,

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Here,

x1 = 7 and y1 = 4

x2 = 9 and y2 = -1

Putting these values in formula

Coordinates of mid point = [tex](\frac{7+9}{2},\frac{4+(-1)}{2})\\[/tex]

Midpoint = [tex](\frac{16}{2},\frac{4-1}{2})[/tex]

Midpoint = [tex](\frac{16}{2},\frac{3}{2})[/tex]

Midpoint = 8 , 1.5

Hence,

Coordinates of midpoint are (8,1.5).

aden spent $10 on a mug and then sold it, making 20% profit. how much did he sell the mug for?

Answers

He sold it for $12 since 20% of 10 is 2

Answer:

12$

Step-by-step explanation:

10% of 10 is 1$ 20% of 10 is 2$ so the answer is 12$

helpppppppppppppppppppppppppppp

Answers

Answer: i know p4 but what does the first q say?

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

I dont really understand it HELP :/

Answers

Answer:

help

/hɛlp/

Learn to pronounce

verb

1.

make it easier or possible for (someone) to do something by offering one's services or resources.

"they helped her with domestic chores"

Similar:

assist

aid

help out

lend a hand to

lend a helping hand to

give assistance to

come to the aid of

succour

aid and abet

be of service to

be of use to

be useful to

do someone a favour

do someone a service

do someone a good turn

bail/bale someone out

come to someone's rescue

give someone a leg up

cooperate with

do one's bit for

rally round

pitch in

chip in

save someone's bacon

save someone's skin

muck in with

get stuck in with

Opposite:

hinder

2.

serve someone with (food or drink).

"may I help you to some more meat?"

noun

the action of helping someone to do something.

"I asked for help from my neighbours"

Similar:

assistance

aid

a helping hand

support

succour

advice

guidance

solution

benefit

use

advantage

service

comfort

avail

cooperation

collaboration

backing

encouragement

a shot in the arm

Opposite:

hindrance

exclamation

used as an appeal for urgent assistance.

"Help! I'm drowning!"

Definitions from Oxford Languages

Feedback

Translations and more definitions

People also ask

What is a fancy word for help?

Step-by-step explanation:

-98 = 7t
What does t equal

Answers

Answer:

t = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-98 = 7t

Step 2: Solve for t

Divide 7 on both sides:                    -14 = tRewrite:                                             t = -14

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t:                     -98 = 7(-14)Multiply:                               -98 = -98

Here we see that -98 is equal to -98.

∴ t = -14 is the solution to the equation.

t = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-98 = 7t

Step 2: Solve for t

Divide 7 on both sides: -14 = t

Rewrite: t = -14

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t: -98 = 7(-14)

Multiply: -98 = -98

Here we see that -98 is equal to -98.

∴ t = -14 is the solution to the equation.

WILL GIVE BRAINLIEST
A magazine has 110 pages. There are 23 full-page ads and 14 half-page ads. The rest of the magazine consists of articles. Write an equation that can be used to find the number of pages of articles in the magazine.

Answers

Answer:

80 pages

Step-by-step explanation:

x = number of pages of articles

x = 110 - (23 + 14/2)

x = 110 - (23 + 7)

x = 110 - 30

x = 80

kevin has ​$24 to buy a gift for his cousin. He found a gift for ​$22. With 5​% sales tax added​ on, will kevin have enough money to buy the​ gift? If​ so, how much will he​ pay?

Answers

Answer:5% of $22 is $1.10.

22+1.10=23.10

23.10 is less than 24

Step-by-step explanation:

Yes he will have to pay $23.10

help please asap will mark crown

Answers

Answer:

d

Step-by-step explanation:

Answer:

a) 4√ 10

Step-by-step explanation:

We know that, diagonal of a rectangle = √ ( length ^2+width ^2)

So, diagonal= √ (12^2+4^2)

=√ 160

=4√ 10

Find the slope of the line through
the points (-2, 1) and (0,4).
Asap taking a test!!!

Answers

Answer:

m= 3/2

Step-by-step explanation:

i cant solve this please help

simplify by combining like terms
4z - 5/6 z

Answers

5z I think


Steps I did-

4+6=10
10z-5=5

In the figure below, h || j. Find the values of y and x.
4x9
yo
y =
720
x =

Answers

Answer:

y= 108 x= 27

Step-by-step explanation:

Hope It Helps!

Identify the conclusion of the statement.

If 2n-7 > 25, then n > 16

1- 2n-7 > 25
2- n > 16
3- 2n > 32
4- no conclusion can be made

Answers

Answer:

2) n > 16

Step-by-step explanation:

Usually, a statement is written as:

If P, then Q

Where P = hypothesis

Q  =  conclusion.

And our statement is:

if 2n - 7 > 25, then n > 16

(We can easily solve the inequality to get the thing in the right:

2n - 7 > 25

2n > 25 + 7 = 32

n > 32/2 = 16

n > 16 )

then:

P = (2n - 7)

Q = n > 16

Then the conclusion is: n > 16

The correct option is 2) n > 16

I’ll give brainliest!!! Can somebody pls explain how to do these

Answers

1. Yes
Is answer
X+y=10
Yes, it is! If x is 1, and y is 9, x+y = 1+9, then 1 and 9 is a solution. Let’s say that x= 5 and y = 5. Guess what? The us would also be correct! 5+5=10! Hope this helped you understand a little better, and it would mean a lot if you have a brainliest!

Paula wants to buy 3 shirts and 2 belts. The shirts cost $16.89 each, and the belts cost $8.97 each. Paula has $45.


Which of these amounts is the best estimate of how much more money Paula needs in order to buy the shirts and belts?


$16

$10

$24

$5

Answers

Answer:

23.61 which rounds to 24

Step-by-step explanation:

3 shirts is 16.89 x 3 which is $50.67

2 belts is 8.97 x 2 = 17.94

68.61

then she already has 45 so subtract

The expression 6a-14-a+7 simplifies to

Answers

the answer to this is 5a-7
Answer: 5a-7

Explanation: If you distribute properly you should subtract 6a-1a to get 5a then you have to add -14 and 7 together to get -7 and when you place 5a and -7 together it creates 5a-7

Based on the definition of logarithm, explain why log10 100 = 2.

Answers

The base of the log is the number and what it is equal to is the exponent. 10^2 is 100.
Does that make sense?

I need help with a question that has to do with Ratio and Proportion. I want to know how to do it, not just only the answer.

Answers

Answer:

y is = 15

please mark me as brainest

Identify the initial amount a and the decay factor b in the exponitial exponential functional y=5x 0.5

Answers

Answer:

b

Step-by-step explanation:

the initial is b

Sara has 24 muffins, which he needs to box up
into dozens. How many boxes does she need?

Answers

Answer:

2 boxes

Step-by-step explanation:

1 dozen = 12

24 divided by 12 = 2!

Answer:

S/he needs 2 boxs

Step-by-step explanation:

24/12=2

Stella deposited $6,000 at 5% simple interest. How long will it take her before she has $8,400 in her account?

Answers

Well i did 6,000 and 5% and came out to 300 so maybe 300 a month or a week I’m not really sure

need help please also watch Attack on Titan
Levi

Answers

Answer:

B.

Step-by-step explanation:

The sets represented is {50,70,70,75,75,95,95,100}

The Kid Laroi

Answer:

The answer is B

Step-by-step explanation:

Levi is mine

Please help me with this question, I need to know what X equals​

Answers

Answer: 11

Step-by-step explanation: m<2 is equal to 42. This also means that 3x+9 is equal to 42.

3x+9=42, solve for x. Subtract 9 from both sides. 3x=33, divide by three to get X isolated. X= 11

At a restaurant last night, 8 people ordered salads, 10 ordered steaks, 18 ordered chicken, and 14 ordered pasta.

From this information, how many people out of 100 would you expect to order chicken?

Answers

Answer:

36 people would order chicken.

Step-by-step explanation:

Case I: (50 People in Total)

Total Number of People Ordering=8+10+18+14=50

Percentage of People ordering chicken=people ordering chicken/total number of people=18/50=0.36%

Case II: (100 People in Total)

Number of People ordering chicken=percentage of people ordering chicken x total number of people=0.36 x 100=36

Please answer this last question

Answers

Answer:

the answer would be 1/18

Mya’s roof was leaking, so she needed money fast. She borrowed $12,000 from the bank for repairs. It is a 5-year loan, and she is being charged simple annual interest at a rate of 7.5%. How much interest can Mya expect to pay over the life of this loan?

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME PRONTO!!!!!! Kanisha cut purple paper strips for her scrapbook. She cut a 7 and 1/2
-inch strip from a 14-inch strip. What is the length in inches of the strip that remains?

Answers

Answer
6 and 1/2
Work
14-7 and 1/2= 6 and 1/2

During crawfish season, Xavier sells crawfish for $62.50 per sack and charges a $20.00 delivery fee. Which equation best represents y, the total cost of x sacks of crawfish delivered to a customer?

A y = (62.50 + 20)x

B y = 62.50 + 20x

C y + 20 = 62.50x

D y = 62.50x + 20

Answers

Answer:

d

Step-by-step explanation:

The equation that best represents y, the total cost of x sacks of crawfish

delivered to a customer is y = 62.50x + 20

y = total cost of x sacks of crayfish

x = number of sacks of crayfish

Therefore,

delivery fee = $20.00

The delivery fee is just like a constant in the equation.

amount sold per sack = $62.50

The amount sold per sack is like the slope in the equation.

Therefore,

y = 62.50x + 20

learn more: https://brainly.com/question/25861960?referrer=searchResults

The cost of a new television is $948. If the value of the television decreases by 4.5% every year, which function
models the value of this television x years after it was purchased?
(x) = 948(0.955)
3 [(x) = 0.955(948)*
© (x)=0.55(948)"
(x) = 948(0.55)

Answers

Answer:

t(x) = 948(0.955)^x

Step-by-step explanation:

I had this for a warm up

Answer: (x) 948(0.955)

Eight times the sum of a number and 2 equals 3.​

Answers

Answer:

8(x+2)=3

Step-by-step explanation:

Other Questions
Heredity is the passing on of traits from parent to offspring. Heritable information is important for life to continue. What is the role of meiosis in heredity?Write your answer in the space below. The perspective from which a fictional story is told is called...APoint of ViewBAuthor's PerspectiveAuthor's PurposeDView Choice I need help! I have an idea of which pick. On what issues do Brutus 1 & Federalist 10 agree? Which of the following were intentions behind President Abraham Lincoln's Emancipation Proclamation? Select all that apply.A to encourage conservatives to leave the NorthB to publicly put the Union on the side of moralityC to weaken the economy of the Confederate statesD to facilitate Union alliances with American IndiansE to encourage African Americans to join the Union army what is an equivalent expression to 56z+28 Why did England have an unfavorable balance of trade with China? 4 Two rectangles have a scale factor of 3. If the area of the smaller rectangle is 45, what is the area of the larger rectangle? Your sister has gained admission into your formal school write a letter give her information and advice her how to behave well in school I need help plzzzzzzzz An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour. His income per job can be modeled using a linear function. The electrician works maximum of 20 hours on any job. What is the range of values for one job? anyone got an answer for this (don't mind the 160 i put. That answer is wrong) You manage employees in several cities, and while you try to visit the various offices as much as possible, your travel schedule is unpredictable. When you do see an employee performing a desirable behavior, you are quick to praise that person. What reinforcement schedule are you using, and is it likely to be effective in promoting desirable behavior Why is cellular respiration soimportant to cells?A. Without it the cells would have no energy.B. It provides the cell with oxygen.C. It removes all of the waste that builds up in a cell. 2. Which continent is called both a continent and a country? Which seaseparates this area from New Zealand? rite a story from Skal's point of view about the data Find the value of x given the figure below. At a campground, kayak rental company A charges a fixed amount of $10 plus $8 per hour for renting a one-person kayak. Company B charges a fixed amount of $6 plus $10 per hour for a one-person kayak. Answer QUICK 20 POINTS!!!!!!!The Georgia Department of Transportation maintains the statespublic transit systems.highways and bridges. airports and shipping ports.freight and passenger railroads. Which property is it?