f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

Answers

Answer 1

Answer:

[tex]\longrightarrow 5n+1\longleftarrow[/tex]

Step-by-step explanation:

[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]

Answer 2

Answer:

[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]

Step-by-step explanation:

We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).

[tex]f(n)+g(n)[/tex]

We know that:

[tex]f(n)=2n+1\\g(n)=3n[/tex]

Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)

[tex](2n+1)+(3n)[/tex]

Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.

[tex](2n+3n)+(1)[/tex]

[tex](5n)+1[/tex]

[tex]5n+1[/tex]

f(n)+g(n) is equal to 5n+1


Related Questions

−15 ÷ 5 =


A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.

Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.

Answers

Answer:

-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3

Answer:

The answer is A,C,D

Step-by-step explanation:

Just had the question :D

Which of the following lines is parallel to x = 4? (2 points)
A.3y = 9
B.y = 4
C.X = 2
D.x=y

Answers

Answer:

x = 2

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis

A line parallel to it must also be a vertical line with equation

x = c ( c is a constant )

The only equation of this form is

x = 2 ← parallel to x = 4

Pls halp due today thank you!

Answers

Answer:

k

Step-by-step explanation:

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

Riley is training to run in a 5-kilometer road race. She would like to

reduce her race time by 15 seconds each month that she trains.

The race is in 3 months. What is the total change in time that Riley

hopes to achieve?

1. What integer represents the change in race time Riley wants to

achieve each month?

2. What integer represents the number of months she will train?

3. Write a multiplication expression that can be used to find the total

change in time.

4. Complete the number line to find the product.

-15

--50-45-40-35-30-25-20-15 -10 -5

0

5. What is the total change in race time that Riley hopes to achieve?

Explain what this change represents in the situation.

Answers

Answer:

1. -15

2. 3

3. -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image.

5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.

Step-by-step explanation:

Given that it is a 5 kilometre race.

Time to be reduced each month = 15 seconds

Total number of months left in the race = 3

1. Riley wants to achieve each month a decrease of 15 seconds.

Integer representing the change = -15

2. Change in time i.e. 3 months is represented by integer 3.

3. There are a total of 3 months and there is a decrease of 15 every month.

so, multiplication expression is: -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image for the number line representation of the answer.

The arrow is from 0 to -45.

5. Total change in time is -45.

This change represents that achieving the goal will reduced the time by 45 seconds.

My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?


1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x

2. Identify the independent and dependent quantity.

3. The domain and range are represented as discrete or continuous?

4.What is a reasonable domain and range for this scenario?


Thanks for the help!

Answers

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

4. What is the slope of the line y = 3? (1 point)

Answers

Answer: Undefined or 0

Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined

Answer: 0

Explanation Since it's a straight line you can't determine the slope.

Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18

Answers

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

34% x 79% pls help ill give brainliest

Answers

Answer:

0.2686

Step-by-step explanation:

It's basically just 34 times 79 lol

Answer:

0.2686

Step-by-step explanation:

please help, i need it done soon

Answers

Answer:

Point C i think is: (33/8, 0)

Step-by-step explanation:

I hope this helps -w-

How do you make comparisons between an equation and a graph?

Answers

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years

Answers

Answer:

2,391 paid altogether. The interest Rate was another 391 dollars.

Step-by-step explanation:

an angles measure is 9 degrees more than 2 times the measure of its supplement. Find the measure of the angle

Answers

Answer:

The angle would be 123°.

Please help please help

Answers

Answer: 78x^6y^4

Solving Steps:

30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!!!

Answers

Answer:3/12 is greater

Step-by-step explanation:

Since 3/12 and 2/9 have different denominators, you need to find the Least Common Multiple (LCM) of the denominators and then multiply the top and bottom of each fraction by the number of times the denominator goes into the LCM.

According to my calculations, the LCM of the two denominators is 36. Therefore, since 12 goes into 36 a total of 3 times, you would multiply the top and bottom of the first fraction by 3. And since 9 goes into 36 a total of 4 times, you would multiply the top and bottom of the second fraction by 4.

Step #2: Now that the denominators are the same, you can simply compare the numerators to determine which fraction is greater. Since 9 is greater than 8, 9/36 is greater than 8/36. Therefore the 1st entry (3/12) is greater than the 2nd entry (2/9).

How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?

Answers

67 miles i believe should be right

convert 8/3 to a mixed number​

Answers

Answer:  2 & 2/3

============================================

Work Shown:

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

The whole part is 2. The fractional part is 2/3.

-----------

Another way you could do the problem is to use long division as shown in the diagram below.

The result of the long division is

8/3 = 2 remainder 2

The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.

So that's another way to get 2 & 2/3

Solve for h(x)=x(x+3)(x-2)

Answers

Answer:

Your answer is:

If you are solving to find x then your answer would have been: x = 0 , -3 , 2

If you are solving to find the x and y intercepts your answer is: ↓

x-intercept(s):  (0,0) (-3,0) (2,0)

y-intercept(s): (0,0)

If you are solving to find roots your answer is: x = 0 , -3 , 2

If you want the graph look below ↓

Step-by-step explanation:

Hope this helped : )

MY 1st QUESTION, WILL GIVE BRAINILIST!

Scott's retirement party will cost $8 if he invites 4 guests. What is the maximum number of guests there can be if Scott can afford to spend a total of $14 on his retirement party? Solve using unit rates.

Answers

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

Answer:

7

Step-by-step explanation:

Well if it's $8 for 4 people then you have to divide to get the rate:

$8/4 = [tex]\frac{2}{person}[/tex]

now you can divide the disired amount to get the number of people:

$14/ [tex]\frac{2}{person}[/tex] = 7 people

The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?

please help me it’s due in 30 minutes!!

Answers

Answer

yes triangle ABC is equal to triangle ADE

Step-by-step explanation:

x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal

We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE CB.

Given, (x + 4) + x + (x - 4) = 138.

3x = 138.

x = 46.

Now, BC = ED = (46 - 4) = 42 cm.

Assuming DA to be y.

∴ 46 + 42 + y = 138.

y = 50

And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ2

through: (-4,5), slope=-7/4

Answers

Answer:

[tex]y=-\frac{7}{4}x-2[/tex]

Step-by-step explanation:

There is enough information to create an equation in point - slope form.

[tex]y-y_1=m(x-x_1)[/tex]

We have a slope of -7/4 and the point of (-4,5).

[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-\frac{7}{4}(x+4)}[/tex]

Convert to slope intercept:

[tex]y-5=-\frac{7}{4}(x+4)\\\\ y-5=-\frac{7}{4}x-7\\\\y-5+5=-\frac{7}{4}x-7+5\\\\\boxed{y=-\frac{7}{4}x-2}[/tex]

Hope this helps.

Solve for x. 0 = 2x² + 3x + 5

Answers

Answer: No real solutions.

Step-by-step explanation:

The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? D and E are similar but not congruent. E and F are similar and congruent. D and E are similar and congruent. F and D are similar but not congruent.

Answers

Answer:

A: D and E are similar but not congruent.

Step-by-step explanation:

hope this help

I really don’t understand this question and I don’t know what to do

Answers

I would assume it is 0% for the minimum as there is a chance that rangers didn’t see anything and 65% for the highest as that is all the people that saw giraffe. I am really unsure though.

My second answer is minimum is 55.25% and the maximum is 65%. But once again I ain’t sure and logically I would go for my first answer

Solve for x

X-5=-9

(10 points)

Answers

x-5 = -9

add 5 to both sides

x = -4

Answer:

x = - 4

Step-by-step explanation:

x - 5 = -9

=> x = -9 + 5

=> x = - 4

What is the equation of the line that passes through the point (-1, -5) and has a
slope of -3?

Answers

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

(-9) - (-37) =

A -29

B -40

C 28

Answers

Answer:c: 28

Step-by-step explanation:

C is 28 for the answer

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Answers

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?

Answers

Answer:40 miles

Step-by-step explanation:

5*4=20

20*2=40

Answer:

40 miles

Step by Step Explanation:

Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)

12. Which of the following numbers is largest?
(a) 1.099
(b) 1.11
©). 1.106
(d) 0.99
(e) 1.009
Please show the work

Answers

I think the answer is B

Solve.
3(x-4) = -3
How do i slove this

Answers

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

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