f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)

Answers

Answer 1

Answer:

(f*g)(x) = 3x³+12x²-7x-28

Step-by-step explanation:

What (f*g)(x) means is that we multiply f(x) by g(x):

f(x) = x+4

g(x) = 3x²-7

(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28


Related Questions

a business has recently made some upgrades to their shop that cost them $1,200. Normally, this business has a running cost of $50 per hour, and they have an income of $80 per hour. How many hours will it take for this business to recover the costs from the upgrades, and how much income will they have brought in by then

Answers

Answer:

9.23 hours to recover the money spent.

Step-by-step explanation:

50+80=130  

130x 9=1170

130x9.23=1200

When the mortgage is completely paid off your house, it will be 5 times as old as it is now. If you have 28 years left on the mortgage, how old is the house now?

Answers

Well this will depend on if you have a 30 year mortgage and if there is 28 years left you paid 2 years only. 0.214

solve pls brainliest

Answers

Answer:

For the first question, it's the third line, the second one after zero.

For the second question, it's the 7th line in total, the 6th one after zero.

Step-by-step explanation:

What is the solution t
x-8 > -3

Answers

Answer:

x>5

Step-by-step explanation:

If you plug in 5,  5-8>-3 that is -3>-3 so you know that x has to be greater than 5.

6. Han followed these instructions to make the image. a. Given line), mark 2 points on the line b. Construct congruent circles a and b centered at the points on ). c. Construct line e through the intersection points of a and b. d. Construct circle e centered at 1 intersection point of a and ó. Mark the 2 intersection points of d'and. e. Construct aangruent carcles Anand i centered at the points on g. Construcline through the intersection points of Anand Write a statement about each pair of lines in this construction. (3 statements) pls help​

Answers

Three statements are as follows -

1. It is a straight line drawn with a straightedge and cuts across the lines.

2. Both drawn with the same compass width.

3. Corresponding parts of congruent triangles are congruent.

This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.

This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.

Hence the three statements of the image are -

It is a straight line drawn with a straightedge and cuts across the lines. Both drawn with the same compass width.

Corresponding parts of congruent triangles are congruent.

To learn more about construction of image

visit - https://brainly.com/question/9213097

#SPJ1

Brisa is 2 years older than Aja. Damaris is 1 year younger than half of Brisa's age. The sum of all their ages is 27.

Answers

brisa is 12.5 aja is 10.5 and damaris is 4

3 3/4 × 2 10/11 Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

10 10/11

Step-by-step explanation:

Answer:

10 10/11

Step-by-step explanation:

3 3/4 × 2 10/11

15/4 * 32/11

480/44

120/11

10 10/11

Which of the following satisfies 3x+1=4(mod9)

Answers

Answer:

X=1

Step-by-step explanation:

3x+1=4

3x=4-1

3x=3

x=1

Anyone can solve theses questions for me?

Answers

Answer:

4. Ty    5. Store A

Step-by-step explanation:

4. 750/3 is 250,  800/4 is 200, and 950/5 is 190 so i think it would be Ty

         Andre           Rick                        Ty

5. for Store A- 4 pairs of jeans is $120 so if you divide that which is 120/4 it gives you 30 so it would mean your paying $30 for each pair of jeans

for Store B- 2 pairs of jeans  will cost you $100 so if you add 50+50 it gives you a hundred so it means your paying $50 for each pair of jeans

for Store C- 3 pairs of jeans is $99 so if you divide 99/3 its 33 which means you would be paying $33 dollars for each pair of jeans

so out of all of then Store A gives you the best deal.

Find the inverse function.
f(x) = x + 1

f-1(x) = (x + [? ])[ ]

Answers

Answer:

the inverse function is f^-1(x) = (x-1)^3

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4 hour job, for instance, is $32.

Let y represent Carolina's fee (in dollars) for a single job that took x hours for her to complete.

Complete the equation for the relationship between the fee and number of hours.

y=______

Answers

Answer:

y=6x+8

Step-by-step explanation

correct on khan ;)

What is the domain of y=log 4(x+3)

Answers

Answer:

domain is the set of numbers you can use for x

Step-by-step explanation:

log_4(x+3)=y means

I mean it translates to

4^y=x+3

remember that x^m≥0 for all real values of x and m

it actually can equal 0 only when x=0 or when x is very small

so

therefor since 4^y>0, x+3>0 as well

solving we get

x>-3

all real numbers greater than -3

2nd option

which of the following expressions to 36x + 24y? choose all that apply.

6x (6+4y)
6(6x + 4y)
12(36x + 24y)
12(3x + 2y)
4y(9x + 6)
4(9x + 6y)

Answers

6(6x + 4y)

12(3x + 2y)

4(9x + 6y)

Answer quickly! [tex]x^{2} = 6[/tex]

Answers

[tex]x = \pm \sqrt{6}[/tex]

is it true that if one of the factors is 0, the product is 1?​

Answers

Answer:

The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0. (This is not really new.) If ab = 0, then either a = 0 or b = 0, or both a and b are 0.

hope it helped

Answer:

0

Step-by-step explanation:

If 60 of 200 people in a restaurant have ordered salads, then what % of customers have ordered salad?

Answers

Answer:

30%

Step-by-step explanation:

Is this the correct sum, be honest pls.

Answers

Answer:

the answer is B. the sum will be close to ½

½= 14/28

1/4 + 2/7

= (7+8)/28

= 15/28

so, the answer is B

Step-by-step explanation:

hope it helps you

brainliest plz

One student solved the inequality -4 > x/-7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.

Answers

Answer:  solutions are the same, just written differently,    inequality sign is reversed when multiplying. Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently.

Step-by-step explanation:  Happy to Help. Brainliest Please

Four balls of wool will make 8 knitted caps. How many balls of wool Malcome needs if he wants to make 6 caps?

Answers

Answer:

3 balls of wool

Step-by-step explanation:

8/4=2

6/2=3

Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (6 + 9) = (2 × 6) + 9
B. 2 × (6 + 9) = (2 × 6) + (2 × 9)
C. 2 × (6 + 9) = (2 + 6) × (2 + 9)

Answers

The answer is B It basically just expressing the 2×(6+9)

The expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.

What is distributive property?

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example we can write a(c+b)  in the form of (ac+bc).

We have an expression:

= 2 × (6 + 9)

After applying the distributive property:

= (2 × 6) + (2 × 9)

= (12) + (18)

= 30

Thus, the expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.

Learn more about the distributive property here:

brainly.com/question/5637942

#SPJ2

Ratio from boys to girls is 2:3. There are 300 fatal kids in the school. How many boys are in the school?

Answers

Answer:

180

Step-by-step explanation:

2:3 = 300

2x +3x = 300

5x = 300

x = 300/5

x= 60

2X60= 120 (girls)

3X60= 180 (boys)

if u want to to check whether the ans is correct then try adding your outcomes 120+180 that is = 300 . so the correct ans is 180.

Dùng kí hiệu toán học để viết mệnh đề sau:
Định nghĩa : tam giác ABC gọi là tam giác cân nếu có hai góc bằng nhau

Answers

Answer:

g vs lhnkdeugyvsvjxbd shall

Write the equation that shows the relationship in the table

Answers

Answer:

y= 20x

Step-by-step explanation:

[tex]40/2=100/5=200/10=20[/tex]  linear function.

I hope this help you

The ratio of dogs to cats at the animal shelter is 4:5. if there are 20 cats, how many dogs are there?

Answers

Answer:

Ratio of cats to dogs is 4:5

Step-by-step explanation:

There are 20 dogs.

4:5=x:20

(5)(4)=20

(4)(4)=16

Answer: 16 cats

You can find the number of cats by using proportion

C increased by 8 can I get help

Answers

Answer:

the answer based on the information provided is c + 8

Step-by-step explanation:

8 added to C is c + 8, since they are unlike terms

FIND THE MESURES OF THE ANGLES. FIND TWO. ANSWER CHOICES:

A: 131

B: 180

C: 90

D: 49

Answers

Answer:

d . 49

Step-by-step explanation:

180-131 ( supplementary angle)

= 49°

Answer:

=D 49

.......................

For every five candy bars David sells, he earns $1. How many candy bars he sell to earn $15 please help​

Answers

Answer:

75

Step-by-step explanation:

5 candy bars =1 dollar what about 15 dollars

Answer:

75 candy bars

Step-by-step explanation:

because 15 x 5 = 75. we got 15 because that's the total amount of money he got and we got 5 because every 5 candy bars.

2/3 - x = 3x-2/4 - 2(x+3)/3
please help me ASAP​

Answers

Answer:

x = [tex]\frac{19}{20}[/tex]

Step-by-step explanation:

Decimal: x = 0.95

in pic

(Hope this helps can I pls have brainlist (crown)☺️)

the greatest common factor of 12 and 26 pls explain the steps

Answers

Step-by-step explanation:

12- 2*6

26- 2*13

gcf =2

the least greatest common factor is 2

b) Hannah buys 2 1/2 pounds of dried fruit for $1.50. How much is she paying for one pound of dried fruit?

Answers

Answer:

hannah is paying 60 cents per pound or dried fruit

Step-by-step explanation:

1.5÷2.5=0.6

Other Questions
are the linear expressions equivalent? 2x-3(1.3x-2.5)=5.9x+7.5 3-2(-2.6x+2.1)=5.2x-1.1d 53. Last night, we ____ for you for ages but you never ____ up. A. waited showed B. would wait - showed C. were waiting - were showing D. waited was showing Help please and hurry CalculatorWhat are the coordinates of the midpoint of CD where C(2,6) and D(4, 10)?O (3, 2)0 (2, 3)0 (3, 8)0 (-1, 2)12OCT20tv Hi can someone plz set this up properly Using a Six-Trait Rubric Personal NarrativesA friend to me means someone you can trust, someone you can tell anything to, someone who will be by your side in good times as well as in bad. A friend is someone you can go to for advice. A friend is someone you can go to if you need help whether it's studying or you just need a good crying session they are also the person who cheers you up and gives you the advice you need to get up and say I can keep going I can do this.But unfortunately, not all friends are like the things I just mentioned they can be divided into two groups which are real and fake friends. It's quite a challenge to find real friends(lucky for me I have found one)and even harder to maintain this friendship in the long term. I had many friends at the ice rink but pretty much all of them were fake and not real friends. Normally they would come and talk with me and try to hang out during breaks if I was doing good in my lessons that day or if I got a new jump that week they would want to make plans for the weekend but something always came up.One day I got tired of this and I could obviously see who my real friends are vs my fake friends and decided that my energy was more well spent on the people who actually wanted to see me succeed and do well in life.So this left me with 2 great friends who I care for very much and I can't imagine my life without them!! As new land is formed at layer A from magma that breaks through the surface of the Earth and cools, what type of rockwould be predominantly generated?A)Sedimentary rock, as it will cover old landscapesing11olsB)Metamorphic rock, as it changes from magma to lava to rockoIgneous rock, as molten magma and lava cools to form new landD)Intrusive rock, as it breaks free from the inner mantle to the outer mantle HELPOOPPPOOPFOLFMTMR ME no link or bot right please HELP PLEASE HELP MEMEEE Which graph does not represent a function? which of the following statements most accurately describes a mitigation report? Magmatic and English Edgar Allan Poe uses an internal rhyme scheme in the poem, The Raven. In the following stanza, write the words that are used to create an internal rhyme scheme:And the silken, sad, uncertain rustling of each purple curtain Thrilled me-filled me with fantastic terrors never felt before; So that now, to still the beating of my heart, I stood repeating, "'Tis some visitor entreating entrance at my chamber door- Some late visitor entreating entrance at my chamber door;- This it is and nothing more."Blank #1Blank #2Blank #3Blank #4 whats the meaning of chemical Which of the following are dwarf planets? Check all that apply.CeresNamakaErisCharonHaumeaMakemakePluto 5. The length of a red rectangle is 12 cm more than its width, w. A bluerectangle, which is 4 cm wider and 2 cm shorter than the red one, hasperimeter 72 cm. Make a sketch of the rectangles expressing all dimensions interms of w. Then find the dimensions of the red rectangle. explain the rise & fall of prohibition write an expression to show the total volume of the two boxes i-ready Anita's parents are from India and continue to follow the traditions of that country. Her parents have matched a husband for her, and she is to be married in two weeks. One morning, however, Anita wakes up paralyzed, and has no use of her legs. A thorough medical examination can find nothing physically wrong that would account for Anita's paralysis. Anita would most likely be diagnosed with which kind of system software tells the computer how to communicate with peripherals, such as a printer or scanner?