Write the first 4 terms of the sequence defined by the rule f(n) = 3n + 1.
Assume that the domain of the function is the set of whole numbers
greater than 0.

Answers

Answer 1

Answer:

Step-by-step explanation:

First of all, your question is very clear. Excluding 0 is a needed restriction.

f(1) = 3*1 + 1 = 3 + 1 = 4

f(2) =3*2 + 1 = 6 + 1 = 7

f(3) = 3*3 + 1 = 9 + 1 = 10

f(4) = 4*3 + 1 = 12 + 1 = 13

4,7,10,13

Notice that you are just adding 3 to the previous term.


Related Questions

Dominic works on the weekends and on vacations from school mowing lawns in his neighborhood. For every lawn he mows, he charges $12. Complete the table. Then determine ordered pairs, and create a labeled graph. 1. How many lawns will Dominic need to mow in order to make $240? _________(blank 1) 2. How much money will he make if he mows 9 lawns? _________(blank 2) Question 1 options: Blank # 1 Blank # 2

Answers

Answer:

[tex]20\ lawns = \$240[/tex]

[tex]9 \ lawns = \$108[/tex]

See Attachment for Graph

Step-by-step explanation:

Given

[tex]1\ lawn = \$12[/tex]

Solving (a): Number of lawns in $240

[tex]1\ lawn = \$12[/tex]

Multiply both sides by 20

[tex]20 * 1\ lawn = \$12 * 20[/tex]

[tex]20\ lawns = \$240[/tex]

Solving (b): Cost of mowing 9 lawns

[tex]1\ lawn = \$12[/tex]

Multiply both sides by 9

[tex]9 * 1\ lawn = \$12 * 9[/tex]

[tex]9 \ lawns = \$108[/tex]

To create a graph, we need to generate a formula;

If

[tex]1\ lawn = \$12[/tex]

[tex]2\ lawn = \$24[/tex]

[tex]3\ lawns = \$36[/tex]

[tex]x\ lawns = \$12x[/tex]

So:

The graph formula is

[tex]y = 12x[/tex]

See Attachment for Graph

Find the coordinates of the midpoint of AS if A(-4, 7) and S(5,3).

Answers

Answer:

The answer is

[tex]( \frac{1}{2} \: , \: 5)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-4, 7) and S(5,3)

The midpoint is

[tex]M = ( \frac{ - 4 + 5}{2} , \: \frac{7 + 3}{2} ) \\ = ( \frac{1}{2} , \: \frac{10}{2} )[/tex]

We have the final answer as

[tex]( \frac{1}{2} \: , \: 5)[/tex]

Hope this helps you

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0.5 \: , \: 5)}}}}}[/tex]

Step-by-step explanation:

Let A ( -4 , 7 ) be ( x₁ , y₁ ) and S ( 5 , 3 ) be ( x₂ , y₂ )

Finding the midpoint

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2})}} [/tex]

[tex] \longrightarrow{ \sf{( \frac{ - 4 + 5}{2} \: , \: \frac{7 + 3}{2}) }}[/tex]

[tex] \longrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{10}{2} }})[/tex]

[tex] \longrightarrow{ \sf{( 0.5 \: , \: 5}})[/tex]

Hope I helped!

Best regards! :D

2.) You can run 1/5 of a mile in 5 minutes. What is your rate per hour?​

Answers

This is a ratio
1/5:5 = x:60. Multiply 1/5 x 8 and you get 1 and 3/5 mile an hour

X (-9, 2) and Y(5, -4)
Given the points, find XY. Round to the nearest tenth.

Answers

Answer:

XY: 15.23

Step-by-step explanation:

Smartness

The distance between the endpoints of line segment XY will be 15.2 units.

What is the distance between two points?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The endpoints of line segment XY are given below.

X(-9, 2) and Y(5, -4)

The distance between the endpoints of line segment XY will be given as,

D² = (x - h)² + (y - k)²

D² = (5 + 9)² + (-4 - 2)²

D² = (14)² + (-6)²

D² = 196 + 36

D² = 232

D = √232

D = 15.2 units

The distance between the endpoints of line section XY will be 15.2 units.

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Michael
is planting a garden. The probability that the seed will produce a plant is 9/10. The probability that a seed will produce a plant is

Answers

Answer:

I believe the answer should be 90%

Six friends each use a $2.00 off coupon to buy themselves a movie ticket. They spend a total of 42. What is the price of one movie ticket without the coupon

Answers

Answer:

5

Step-by-step explanation:

you would do 42 divided by 7 which is 6 then subtract 2 from 7 and you would get 5

Put these numbers in order from least to greatest.
-22/40, 8, 18/24

Answers

Answer:

-22/40, 18/24, 8

Step-by-step explanation:

Which expression is equivalent to -7 + 5a?
A. -2a
B. -12a
C. 5a-7
D. -5a +7

Answers

Answer:

5a-7

Step-by-step explanation:

-7+5a

We can rearrange the order

5a-7

Answer:

C. 5a-7

Step-by-step explanation:

5a−7 = -7+5a

The area of the postcard is 24 square inches. What is the width b of the message (in inches)?

Answers

Hshsjxjsjajjskdjqjsjfkwja

Please Help! I'll give Brainliest to whoever gets the answer
Andy brings a bag of treats to school to celebrate his birthday. In the bag, he has 22 chocolates, 10 lifesavers, 6 crackers, and 2 sticks of bubble gum. He plans to walk around the room and randomly hand out the treats. YOU are the first person he will give a treat. Find the following probabilities, and write your answers as fractions in simplest form AND decimals AND percentages.

P(shrimp cocktail) = -------------------------------------------------------------
P(lifesaver) = -------------------------------------------------------------
P(stick of gum) = -------------------------------------------------------------
P(chocolate or lifesaver) = -------------------------------------------------------------
P(not crackers) = -------------------------------------------------------------
P(any treat) = -------------------------------------------------------------

Answers

Answer:

shrimp cocktail: 0.00 or 0%

lifesaver: 0.25 or 25%

gum: 0.05 or 5%

chocolates or lifesaver: 0.80 or 80%

Not Cracker: 0.85 or 85%

Any treat: 1.00 or 100%

Step-by-step explanation:

First Add all of them together

22+10+6+2=40

now divide

22/40 0.55

10/40=0.25

6/40=0.15

2/40=0.05

add/subtract

0.25+0.55=80%

1-0.15=0.85

Hope this helps! Plz award Brainliest : )

1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1

Answers

Answer:

1

Step-by-step explanation:

Anything multiplied 1 is that number

Answer:

1

Step-by-step explanation:

Brainlist. Neeed this ASAP. please its on Simplify Expression and i put the picture below

Answers

Answer:

G

Step-by-step explanation:

the perimeter is the sum of all sides so we have

[tex]P=a^{2} -ab+a-2a+a^2+ab\\\\P=(a^2-2a^2+a^2)+(-ab+2b)+a\\\\P=(0a^2)+(ab)+a\\\\P=ab+a[/tex]

Answer:

G

Step-by-step explanation:

hope this helps!!!!!!!!!m:)

PLS HELP I DONT UNDERSTAND :( WILL MARK BRAINLIEST!!

Answers

Answer:

where is the question though?¯\_(⊙_ʖ⊙)_/¯

The Schmidts brought a house 10 years ago and took out a mortgage. They are considering selling and want to know how much they still owe. They know their monthly payment and interest rate. Which of the following methods and correctly allow them to find the amount still owed?

Answers

Answer: a. They can find the present value of the remaining 20 years worth of payments.

Step-by-step explanation:

The present value of the payments for the servicing of the loan is the amount of the loan that is still owed because the payments include both the interest and the principal repayments.

The Schmidts can therefore find out the amount they still owe by checking the present value of the remaining 20 years worth of payments.

As the payments are usually constant they can be treated as an annuity so using the monthly payment as the annuity, the interest rate as the discount rate and the 20 years ( 240 months) as the period, they should be able to find the present value of the loan.

answer fast I will reward 50 points [] are the exponents Use the given information to complete parts I and II. In your final answer, include all calculations. Planet Earth has an approximate diameter of 1.2742 · 10 [10] millimeters. The sun has a diameter of 1.391 · 10 [6] kilometers. Part I: Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Earth's diameters? Part II: Approximate how many times greater the sun's diameter is than planet Earth's.

Answers

Answer:

see below

Step-by-step explanation:

given;

Planet Earth has an approximate diameter of 1.2742 x 10¹⁰ millimeters.

The sun has a diameter of 1.391 x 10⁶ kilometers.

find:

Part I:

Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Earth's diameters?

Part II:

Approximate how many times greater the sun's diameter is than planet Earth's.

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

part I:

the best measurement to represent the lengths of the sun and Earth's diameters is kilometers.

= planet dia. = 1.2742 x 10¹⁰ mm x            1 km            =  12,742 km  

                                                          1,000,000 mm

= sun dia. = 1.391 x 10⁶ km = 1,391 x 10³ km = 1,391,000 km

part II:

the approximate scale dia ratio of earth to sun is = sun dia. over earth's dia.

=  1,391,000 km

    12,742 km

= 109.17 times

therefore,

109.17 times greater the sun's diameter is than planet Earth's.

Evaluate 32 + (8 − 2) ⋅ 4 − 6 over 3 . (1 point

Answers

Answer:

The answer would be 54 because you would follow the order of PEMDAS

you would do parentheses first which is 8-2 which is 6 then multiplication

so 6x4 = 24 then addition which is 32+24 which equals 56, then you would do 56-6/3 which would equal 54

Hope this helped

Answer::::::: It is 31

In 2016 49% of all degrees granted were bachelors degrees if 1,920,718 students earned bachelors degrees how many total degrees were granted that year

Answers

Answer:

3919832.65306

Step-by-step explanation:

This problem is focused on percentages.

Now given that 49% of a number is  1,920,718

we can say let the number be x

so 49% of x=  1,920,718

now expressing this problem mathematically we have

(49/100)*x=  1,920,718

0.49x= 1,920,718

divide both sides by 0.49 we have

x=  1,920,718/0.49

x= 3919832.65306

Therefore the total that were granted degree that year was 3919832.65306

(x2 + 3x – 4) + (2x3 - 2x + 5)​

Answers

Answer:

step-by-step.

x2+3x−4+2x3−2x+5

=x2+3x+−4+2x3+−2x+5

Combine Like Terms:

=x2+3x+−4+2x3+−2x+5

=(2x3)+(x2)+(3x+−2x)+(−4+5)

=2x3+x2+x+1

Answer:

=2x3+x2+x+1

Answer:

below

Step-by-step explanation:

[tex]( x^{2} + 3x - 4) + ( 2x^{3} -2x = 5) \\x^{2} + 3x - 4 + 2x^{3} - 2x + 5 \\x^{2} + (3x-2x) + 2x^{3} + ( 5 - 4) \\ x^{2} + x + 2x^{3} + 1 \\ 2x^{3} + x^{2} + x + 1[/tex]

For the directed line segment whose endpoints are B(0, 0) and C(12, 24), find the point whose coordinates are 3/4 from B to C.

Answers

Answer:

  (9, 18)

Step-by-step explanation:

If point P is 3/4 of the distance from B to C, it means that ...

  BP/BC = 3/4

  (P - B) = 3/4(C - B) . . . . . . multiply by BC = (C-B)

  P = B + 3/4C -3/4B . . . . . add B

  P = (1/4)B +(3/4)C = (B +3C)/4

  P = ((0, 0) +3(12, 24))/4 = (36, 72)/4 = (9, 18)

The desired point is (9, 18).

__

As we showed, since B = (0, 0), the point is 3/4 of the coordinates of C.

Which system of inequalities is represented by the graph?
A. y≥1
y−x>0
B. y≤1
y−x 0
2. Which system of inequalities is represented by the graph?

Answers

Answer:

  B, D

Step-by-step explanation:

1. The shaded area is below the solid line at y=1, so the solution set is partially determined by the inequality ...

  y ≤ 1 . . . . . . values of y in the solution set are less than or equal to 1

The shaded area is below the line y=x, so is partially determined by ...

  y -x < 0

These inequalities match the second choice.

__

2. The solid boundary line has a slope, rise/run, of 1/3. The shaded area is below it. So the applicable inequality is ...

  y ≤ 1/3x +6 . . . . . . matches the fourth choice

Here are the numbers of supporters at five different ice hockey matches.

75,600
7,506
75,650
7,056
75,026

Answers

Is there a question that goes with this?

If so, I'd be happy to help :)

Which expressions are equivalent to 6 +(-x) + 2x + (-7)
+ 2x? Check all that apply.
x + x + 6 - 7 + x
2x+2+x
3- X + 2x - 4 + 2x
X-1
X+1

Answers

Answer:

a and c

Step-by-step explanation:

Answer:

A-     x + x + 6 – 7 + x

C-      3 – x + 2x – 4 + 2x

Step-by-step explanation:

EDG2021

I have 30 ones, 2 thousands, 4 hundred thousands,60 tens and 100 hundreds. What number am I?

Answers

Answer
The number is 412630

Find the mode(s) for the given sample data 62, 25, 62, 13, 25, 29, 56, 62 a. 25 b. 41.8 c. 62 d. 42.5

Answers

Answer:

C

Step-by-step explanation:

First you count out how many of the numbers there are. The one that has the most is the mode

Answer:

C) 62d trust me

Ask for further explanations

Demtermine the degree of the polynomial_57

Answers

Answer:

The degree of polynomial of 57 is 0.

The Gabrielsons ran a family relay race. The distance run by each family member (in kilometers) is listed below.4,11,6,7Find the standard deviation of the data set. Round your answer to the nearest hundredth.

Answers

Answer : the standard deviation approximately

2.55km

Answer:

The answer is 2.55

Step-by-step explanation:

Find the mean

4+11+6+7

Apply the formula

SD

​  

= 9+16+1+0/4

​=26/4

​= 6.5

=2.55

On Monday Tino, explored a cave that was 127 feet below sea level, and on Tuesday he explored a cave that was 203 above sea level. What is the difference in the sea level of the two caves?​

Answers

The difference is 76
Because one of the caves is under sea level you have to add 127 to 203 to get the difference. The difference is 330

In a 30-60-90 triangle the long leg is half the hypotenuse.
never
always
sometimes

Answers

Answer:

Never

Step-by-step explanation:

In a 30-60-90 triangles:

The length of a hypotenuse side is twice the length of the shorter leg

The length of the Longer side is [tex]\sqrt{3}[/tex]  times the shorter leg.

The length of a rectangle is 3 units greater than its width. If the width is w, what expression gives the perimeter of the rectangle in terms of its width?

Answers

Step-by-step explanation:

let width be "w"

given,length of rectangle is 3 units greater than its width

length= w+ 3

perimeter of rectangle= 2( l+ b)

= 2[( w+3)+ w]

= 2(w to the power of 2 + 3w)

= 2w to the power of 2 + 6w

is the answer

The perimeter of the rectangle is 4w+6 units

What is the perimeter of rectangle?

The perimeter of a rectangle is the sum of its four sides. Perimeter of Rectangle = 2 (Length + Width) units.

According to the question

Width of rectangle = w

Length of rectangle = w+3

Perimeter of Rectangle = 2 (Length + Width)

                                        = 2( w+3 +w)

                                        = 2(2w+3)

                                        = 4w+6 units

Hence, The perimeter of the rectangle is 4w+6 units .

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PLEASE HURRY WILL GIVE BRAINLIEST! Which phrase describes the algebraic expression Three-fourths x + 2? A. three-fourths of a number plus two B.the quotient of four-thirds and two C.the product of three-fourths and two D.the difference between three-fourths of a number and two

Answers

Answer: A

Step-by-step explanation:

3/4x+2

3/4+2

Answer:

The answer is A

Step-by-step explanation:

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