f(n) = 4n +3
g(n) = 3n²+2
Find f(n) - g(n)
help lol

Answers

Answer 1

Answer:

[tex](4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = - 3 {n }^{2} + 4n + 1 \\ ( - 3 {n}^{2} - 3n) - (1n + 1) \\ - 3n(n + 1) - 1(n + 1) \\ (n + 1)( - 3n - 1) \\ n = - 1 \\ n= \frac{1}{ - 3} [/tex]

Answer 2

Answer:

[tex]f(n) - g(n) = (4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = \boxed{4n - 3 {n}^{2} + 1}[/tex]

(4n²-3n+1) is the right answer.

Related Questions

Rewrite in simplest terms: -4k - 9(-8k + 6)​

Answers

Answer:

68k -54

Step-by-step explanation:

We will have to distribute the 9 first

-4k - 9(-8k + 6)​

-4k + 72k - 54     (now we can combine the like terms)

68k -54               (since we can't simplify anything else it's done)

Find the Mean,
3, 9, 13, 8, 10, 2
Mean


can someone help me?

Answers

Answer:

7.5

Step-by-step explanation:

3 + 9 + 13 + 8 + 10 + 2 = 45

There are 6 numbers so we divide 45 by 6

45/6 = 7.5

Help!! Thank u and please

Answers

Answer:

150

Step-by-step explanation:

z^2. (x-y)

(5)^2. (9-3)

25. 6

150

5^2 * (9-3) = 25 - (6) = 19

MULTIPLE QUESTIONS FOR 100 POINTS IF CORRECT YOU WILL GET BRAINLIEST!!! PLEASE HELP

1. Do Charlotte's calculations make sense? Why or why not? Make sure to address each step in your answer and use complete sentences to explain your reasoning.

2. Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.

Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.

She is required to purchase a piece of carpet that includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.

Length:
feet; Width:
feet.

3. Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.

Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.

She is required to purchase a piece of carpet that includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
Recall that the area of a rectangle is found by multiplying the length and width of the rectangle. What is the area of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.

_____ square feet

Answers

Yes, they do make sense because the amount of square feet is equal to the amount of money needed to make the purchase in the mathematical abbreviations.

I hope this helped!

Answer:

Yes, they do make sense because the amount of square feet is equal to the amount of money needed to make the purchase in the mathematical abbreviations.

Step-by-step explanation:

A fireman's water hose shoots 320 kg of water each second against the door of a building. The velocity of the water is 20 m/s and the water strikes the door horizontally and doesnt bounce back. What average force is exerted by the stream of water?

Answers

Answer:

[tex]6400\ \text{N}[/tex]

Step-by-step explanation:

[tex]\dfrac{m}{t}[/tex] = Mass flow rate of water = 320 kg/s

[tex]m[/tex] = Mass of water on the door

[tex]t[/tex] = Time

[tex]v[/tex] = Velocity of water on the door = 20 m/s

Force is given by

[tex]F=\dfrac{m}{t}v\\\Rightarrow F=320\times 20\\\Rightarrow F=6400\ \text{N}[/tex]

The average force is exerted by the stream of water is [tex]6400\ \text{N}[/tex].

kyler wanted to pay no more than$ 0.62 per litter of orange juice. if he purchased 12 litters for $7.58. Did he pay under $0.62?


Can someone please answer this quickly i'll give 16 pts
its based on unit rates

Answers

Answer:

No he payed $0.63 per liter.

Step-by-step explanation:

Okay to solve this you would divide the price payed by the number of liters purchased. So 7.58/12. When we divide this, we get 0.631666667. Rounded this is 0.63. So no he did not pay 0.62.

PLEASE HELP ME
Solve for X and Z

Answers

9514 1404 393

Answer:

x = 1z = 11

Step-by-step explanation:

If we assume that the segment marked (2x+1) is a midsegment, then it is half the length of the parallel base:

  2(2x+1) = 8x-2

  4x +2 = 8x -2 . . . . eliminate parentheses

  4 = 4x . . . . . . . . . . add 2-4x to both sides

  1 = x . . . . . . . divide by 4

__

The above assumption makes the two segments marked with z-expressions be the same length:

  3z = z +22

  2z = 22 . . . . . .  subtract z

  z = 11 . . . . . . . . . divide by 2

The values of X and Z are 1 and 11, respectively.

Gabriel works at a snack bar that sells drinks for $3, hot dogs for $5, and t-shirts for $15. In the last hour, Gabriel sold $60 wroth of each of items. How many of each item did Gabriel sell?

Answers

Hhhhggggghhyyyyhhhhbbhhhhhhhhhhh

PLEASE HELP I WILL MARK BRAINLY

Answers

Answer:

The answer is C

Step-by-step explanation:

We apply the given formula: y= 2x + 1.

0 x 2 = 0 + 1 = 1, so A is incorrect.

1 x 2 = 2 + 1 = 3, C is the only one with 3 as the second number, so C is correct

PLEASE HELP ASAP IT'S DUE TODAY Use the graph of the function below to answer the questions that follow.

Answers

Answer:

So for..

a. from: 2   to: 4

b. from: 0   to: 2      ( I believe this one, may be incorrect- sorry if so)

c. from: 6   to: 10      ( I believe also for this one, sorry if incorrect)

d. from: 5   to: 6       ( I beleive- that is what it looks like- sorry if incorrect)

e.  They are staying at a constant rate, not changing, at rest...

Hope this helps!

solve the system of equations. 2x + 7y =3
x = -4y
x =
y =​

Answers

Answer:

x = 3/2−7y/2

Step-by-step explanation:

hope this is correct

A pair of shorts regularly cost $35 are on sale for 20% off what is the price of the shorts?

Answers

The shorts are now $28

what is 5square times 34 times 10square.

Answers

85000 on the graphing calculator

Answer:

85,000

Step-by-step explanation:

(5 square) *34* (10 square)

Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answers

Answer:

whichever one corresponds with the answers you have will be right.

Write the correct order of letters to the finish line Example ABCGH​

Answers

ABCDEFGHIJKLMNOPQRSTUVWXYZ?

Mrs. Wilson tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 2 points each and word problems are worth 5 points. How many of each type of question are there

Answers

Answer:

30 mcq and 8 word problems

plz mark as brainliest

A company is desinging a square prism. Its height is 3 yarss longer than a side of its base. The volume of the prism must be 20 cubic yards. Write a representative function for the volune of the solid..

Answers

Answer:

[tex]a^{2} (a+3) = 20\\OR\\a^3 +3a^2 -20 = 0[/tex]

Step-by-step explanation:

Given that:

There is a square prism which has height equal to 3 yards longer than that of the base of the prism.

Let the base of prism = [tex]a[/tex] units

As per question statement:

Height, [tex]h = (a+3)[/tex] units

Volume of the prism = 20 cubic yards

Now, we have to find a representative function that will represent the volume of the solid.

First of all, let us have a look at the formula for volume of a prism.

[tex]V = B\times h[/tex]

Where, [tex]B[/tex] is the area of base and

[tex]h[/tex] is the height of prism.

And the base is a square, whose area will be represented as:

[tex]B = Side \times Side[/tex]

Now, putting the values in the formula for Volume:

[tex]V = a^2(a+3) = 20\\OR\\a^3+3a - 20 =0[/tex]

Triangle Deff is shown below. 110°, e, d, f, 135°​

Answers

Answer:

Step-by-step explanation:

a° + 110° = 180° [Linear pair of angles]

a = 180° - 110°

a = 70°

b° + 135° = 180° [Linear pair of angles]

b = 180° - 135°

b = 45°

a + b + c = 180° [Triangle sum theorem]

45° + 70° + c = 180°

c = 180° - 115°

c = 65°

Therefore, a triangle similar to DEF will have an angle that measures 45 degrees, an angle that measures 70 degrees and an angle that measures 65 degrees.

A pizza company sells a small pizza for $6. Then it charges $2 per topping. What equation corresponds to this scenario? (20 points)

Answers

Answer:

A

Step-by-step explanation:

What is the slope of the line that passes through the points (2, -3) and (5, 1)?

Answers

Answer:

The slope is 4/3 :)

Step-by-step explanation:

Determine the center and radius of the following circle equation: x^2+y^2-8x+6y-75=0 x 2 +y 2 −8x+6y−75=0 Center: \big(( , \big)) Radius:

Answers

Answer:

Compare x^2 +y^2-8x-6y=75 with the general circle equation x^2+y^2 -2ax-2by+c=0

-2a =-8 And -2b=-6

a=4 b=3

c=-75

To find the radius use the equation

r^2=a^2+b^2-c

r^2=4^2+ 3^2-(-75)

r^2=25+75=100

r=10(radius is always positive)

Hence the center is (4,3) and radius 10

Step-by-step explanation:

A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?

Answers

Answer:

what subjet is this

Step-by-step explanation:

-10 = -0.2k

k = ?

solve for k

Answers

k=50
-10/-0.2 =50
so 50=k

Answer:

-10 = -0.2k

we multiply both sides by 5

-50 = -k

k = 50

Step-by-step explanation:

I NEED HELP


I don’t know what to do!!

Answers

1.C
2.A
3.d
4.B


Hope this helps!
Brainliest?
Is okay if no !

Express the interval shown on the number line in inequality notation.

Answers

Answer: x < -3 or x > 5

Step-by-step explanation: Interval notation shows the values of x. X is less than -3, or greater than 5.

what is 5+5 plssssssssssssss!!!!! i need it now!!!!!!!!!!!! plsssssssssssssssssss

Answers

Answer:

Hmmmmmmmmm I think it’s 10....?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

f(x) = 3x² + 4x – 6
g(x) = 6x3 – 5x2 – 2
Find (f – g)(a).

Answers

Step-by-step explanation:

(-6x^3+8x^2+4x-4)

option D is correct answer

Answer:A

Step-by-step explanation:

Need help please!!!!

Answers

Answer:

15/x-2

Step-by-step explanation:

Cant attach the photo but you use a division table

combine like terms -21a + 16a

A. -5a

B. 5a

Answers

Answer:

-5a

Step-by-step explanation:

-5a

Answer: b

Step-by-step explanation:

Matt read 65 pages in 50 minutes. He reads at a constant rate.

How many pages can Matt read per minute?

Answers

Answer:

78

Step-by-step explanation:

Can you give me brainliest please

Answer:

Give somuchcringe321 brainliest

Step-by-step explanation:

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