The nth term of an arithmetic sequence is given by an
an= 4 + 5(n-1). If you were to graph ordered pairs where x is the term number and y is the term, what linear equation would describe the line that passes through the points?

Answers

Answer 1

Answer:

            y = 5x - 1

Step-by-step explanation:

aₙ = y    n = x

aₙ =  4 + 5(n-1)

y  = 4 + 5(x - 1)

y = 4 + 5x - 5

y = 5x - 1


Related Questions

Find the missing number.
3 + 8 + 4 + 9 = (12 + ____) + 9

Answers

Answer:

3!

Step-by-step explanation:

Add 3+8+4+9, you get 24. 12+9=21. 24-21 is 3! So answer is 3!

Solve x-(-9) = -14.
0-5
0 23
0-23
O 5

Answers

Step-by-step explanation:

x - (-9) = -14

x = -14 +(-9)

x = - 23

if you wanna check,

-23 - (-9) = -14

-14 = -14

Me ayudan por favor??
¿Qué tres números consecutivos suman 156?

Answers

Answer:51+52+53Step-by-step explanation:

De tal forma que los números son: 51-52-53. Comprobando estos tres números consecutivos enteros: 51+52+53=156.

espero que esto te ayude :)

Answer 51+52+53


Explanation

Natalie and her sister opened savings accounts at the same time. Natalie deposited $100 and will deposit $10 each month. Her sister deposited $25 and will deposit $25 each month. When will Natalie have less money in her account than her sister?

Answers

Answer:

5

Step-by-step explanation:

Natalie

100 + 10x

Her sister

25 + 25x

Where

x = number of months

Equate Natalie and her sisters equation

100 + 10x < 25 + 25x

100 - 25 < 25x - 10x

75 < 15x

Divide both sides by 15

x < 75 / 15

x < 5

What will the 15th term in the sequence be? 2.2, 4.4, 6.6, 8.8,

Answers

Answer:

30.30

Step-by-step explanation:

Just count up by 2 each time.

Sofia wants to rent an apartment. She visits Apartment A which charges $100 for a one-time deposit and $400 per month for rent. She also visits Apartment B which charges $500 for a deposit, but only charges $350 per month in rent. Write and solve an inequality that shows how many months it would take for the total paid to be less for Apartment B.

Answers

Credit To: "lublana" On Brainly For This Answer

Answer:

Given that one time charge of appartment "a" = $100

Given that monthly rent of appartment "a" = $400

say the number of months = x

then total cost of the rent for apartment "a" = 100+400x

Given that one time charge of appartment "b" = $500

Given that monthly rent of appartment "b" = $350

then total cost of the rent for apartment "b" = 500+350x

Now we have to make an inequality so that number of months it would take for the total paid to be less for apartment b.

that means 100+400x is less than 500+350x

Hence required inequality is 100+400x<500+350x.

Now we have to solve this inequality.

400x-350x<500-100

50x<400

divide both side by 50

x<8

hence final answer is number of months should be less than 8.

Write a verbal statement that represents the expression 4+k​

Answers

Answer:

it would be 4k

Step-by-step explanation:

just add 4 and the k which gives you 4k

The sum of 4 and k
......

Can you find the mistake?

Answers

Answer:

14b +64

Step-by-step explanation:

as listed above

Solve for r:
3x + 2 = 11
11
O A
B. 3
Oc.
3
OD.
13
3
O E 6

Answers

Do you mean solve for x? Which is 3

Answer:

B

Step-by-step explanation:

3x + 2 - 2 = 11 -2

3x = 9

3x divided by 3 = 9 divided by 3

x=3

Determine if segments JK and LM are parallel, perpendicular, or neither.

J(-10, -7) K(-4, 1) L(-1, 1) M(-6, -2)

Answers

Answer:

perpendicular

Step-by-step explanation:

the lines meet together

What is the difference between Glasgow and Copenhagen. (Glasgow= -7.8 Copenhagen=-3.8)

Answers

Answer:

Step-by-step explanation:

The difference of the two values is 4 as calculated by subtraction.

An arithmetic operation called subtraction is the process of deleting or removing items from a collection. The negative symbol (-) denotes subtraction.

Subtraction can mean eliminating or lowering physical and abstract quantities utilizing a variety of things, such as fractions, matrices, vectors, irrational numbers,  decimals, functions, and  however negative integers. it is typically linked with natural numbers in mathematics.There are several significant patterns in subtraction. It is anticommutative, which means that altering the sequence alters the answer's sign. Additionally, it is not associative, which means that when subtracting more than two numbers, the method used matters. 0 is the additive identity, hence subtracting it has no effect on a number. In relation to related operations like addition and multiplication, subtraction also abides by predictable principles.

The given values for Glasgow and Copenhagen are given as -7.8 and -3.8 .

Therefore difference = -3.8 - (-7.8) = -3.8 +7.8 = 4

To learn more about subtraction visit:

https://brainly.com/question/2346316

#SPJ1

Which vehicle has the better gas mileage? Explain your reasoning.

Answers

Answer:

Tesla because it has no gas

the sum of 1/11 and 5/11

Answers

Answer:

6/11

Step-by-step explanation:

1/11+5/11

Answer:

the sum of 1/11 and 5/11 is 6/11

Step-by-step explanation:

the sum would mean addition so

1/11 + 5/11

when adding fractions you don't add the denominator

so then you'd only add 1 + 5 which gets you 6

so 6/11

Complete the long division problem on your own sheet of paper. Then, fill in the digits.

47 dived by 9598 do the whole problem

Answers

Answer:

204 Remainder 10 / 204 10/47

Step-by-step explanation:

Answer:

  0 2 0 4

4 7 9 5 9 8

 − 0      

   9 5    

 − 9 4    

     1 9  

   −   0  

     1 9 8

   − 1 8 8

       1 0

Step-by-step explanation:

the answer is 10

Any help on this maths question will be truly appreciated ​

Answers

Step-by-step explanation:

Hey there!

1. 》 (√5)^2*(√3)^2

Cancel sqrt and square.

[tex]5 \times 3[/tex]

= 15

2.

[tex] = { (\sqrt[ 3]{9} )}^{3} \times ( { \sqrt{30}) }^{2} [/tex]

Cancel sqrt and square and also cubeoot and cube.

[tex]9 \times 30[/tex]

= 270

Hope it helps....

What value of x satisfies the equation below?
x +x=12
3 6

A. x=12
B. x=6
C. x=24
D. x=72​

Answers

I believe the answer would be B, but I don't understand what the 3 and 6 are for due to there being no context.

What is the answer to 5x + 2 = 3x

Answers

Answer:

x = -1

Explanation:

5x + 2 = 3x

5x - 3x = -2

2x = -2

x = [tex]\dfrac{-2}{2}[/tex]

x = -1

Hope this helps! ☺

Answer:

-1

Step-by-step explanation:

5x+2=3x

2=-2x

x=-1

3)A recipe calls for 1 3/4 cups of rice.
a) How many rice needed to make half the rice???
b) How much rice is needed to make two and one half times the recipe???

Answers

Answer:

A) 7/8 cups  B) 4 3/8 cups

Step-by-step explanation:

1 3/4 = 7/4

7/4 cut in half is 7/8

7/4 doubled is 7/2

7/2 = 28/8

28/8 + 7/8 = 35/8

35/8 = 4 3/8

Answer:

a) 7/8 cupsb) 4 3/8 cups

Step-by-step explanation:

Given

Full recipe = 1 3/4 cups of rice

1 recipe ⇒ 7/4 cups

a) half of the recipe

1/2 recipe  ⇒ 1/2*7/4 = 7/8 cups of rice

b) 2 and one half time the recipe

2 1/2 recipe = 5/2 ⇒ 5/2 * 7/4 = 35/8 = 4 3/8 cups of rice

A cedar board is 2 inches long and 8 feet long. You will need to cut down the length of the board into 1 1/3 inches long. How many pieces can u cut from an 8 inch long board

Answers

Answer:

You will be able to cut at least 6 pieces

Step-by-step explanation:

-4 5/1 as a simplified fraction?

Answers

The answer is 1/1 or 1

10 pls 10 I dnt no wat to do

Answers

10 plus 10 is 20 lol

How do you write –51. 6 as a mixed nuber

Answers

Answer:

-51 6/10 or -51 60/100

Step-by-step explanation:

The mini muffin company bakes 1,872 muffins. The large mini muffin boxes hold a dozen muffins. How many large boxes are needed to package the muffins? I need help plzzzzzzzz

Answers

Answer:

156

Step-by-step explanation:

you can actually use a calculator for this.

1,872 muffins packaged into boxes that hold 12 muffins.

that means 1,872/12

which is 156

Answer:

it is 156

Step-by-step explanation:

Which geometric figure has the greatest perimeter?
The Square
The right triangle
The rectangle

Answers

Answer:

Triangle has the greatest perimeter

Step-by-step explanation:

Triangle:

[tex]2\sqrt{48}=2\sqrt{2*2*2*2*3}=2*2*2\sqrt{3}=8\sqrt{3}\\\\\\3\sqrt{75}=3*\sqrt{3*5*5}=3*5*\sqrt{3}=15\sqrt{3}\\\\\\6\sqrt{12}=6*\sqrt{2*2*3}=6*2*\sqrt{3}=12\sqrt{3}\\\\\\2\sqrt{108}=2*\sqrt{2*2*3*3*3}=2*2*3*\sqrt{3}=12\sqrt{3}\\\\\\3\sqrt{147}=3*\sqrt{3*7*7}=3*7\sqrt{3}=21\sqrt{3}\\\\Perimeter=3\sqrt{147}+2\sqrt{108}+6\sqrt{12}+2\sqrt{48}+3\sqrt{75}\\\\ =21\sqrt{3}+12\sqrt{3}+12\sqrt{3}+8\sqrt{3}+15\sqrt{3}\\\\=(21+12+12+8+15)\sqrt{3}\\\\=68\sqrt{3}\\[/tex]

= 68 * 1.732 = 117.78

Square:

[tex]\frac{1}{3}\sqrt{63}=\frac{1}{3}\sqrt{3*3*7}=\frac{1}{3}*3*\sqrt{7}=\sqrt{7}\\\\Perimeter=4*side=4*\sqrt{7}=4\sqrt{7} = 4* 2.6458 = 10.58[/tex]

Rectangle:

[tex]\frac{1}{4}\sqrt{100}=\frac{1}{4}\sqrt{10*10}=\frac{1}{4}*10=\frac{5}{2}\\\\\\Perimeter=\frac{1}{4}\sqrt{100}+2\sqrt{48}+4\sqrt{75}+\frac{1}{4}\sqrt{100}+2\sqrt{48}+4\sqrt{75}\\\\=\frac{5}{2}+8\sqrt{3}+20\sqrt{3}+\frac{5}{2}+8\sqrt{3}+20\sqrt{3}\\\\=\frac{5+5}{2}+(8+8+20+20)\sqrt{3} \\\\=\frac{10}{2}+56\sqrt{3}+\\\\=5+56\sqrt{3}\\\\=5+56*1.732=5+96.99=102[/tex]

During a musical, an orchestra is playing. As the music plays, the volume changes at the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:



At what number(s) measures played would the sound level be at 80 decibels?

Answers

Answer:

what

Step-by-step explanation:

...

To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.
Next, we subtract 50 from both sides of the equation.
Next, we divide both sides of the equation by 10
Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.
Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x
Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x
Therefore, x, the number of measures of music played, must be either 1 or 7.

6. Write an equation of a line that passes through the points (4,5) and (8,3).

Answers

Answer:

The answer to your question is -2/4

Step-by-step explanation:

y2-y1

x2-x1

At a music store, 8 CDs cost 32$. How much will 15 CDs cost at this store?

Answers

Answer:

$60

Step-by-step explanation:

First we have to find the default cost for a single CD.

8 ÷ 32

Divide.

8 ÷ 32 = 4

Now that we have the default cost, we have to find the price for 15 CDs.

4 x 15

Multiply.

4 x 15 = 60

32/8 = 4, therefore each CD costs $4. 4 x 15 = $60.

What 3 numbers can be multiplied together to get 180?

Answers

2×6×15=180

Step-by-step explanation:

2×6=12

12×15=180

Answer:

3×6×10=180

Step-by-step explanation:

.............. there can be more than one right answer for this

Which property explains why these two expressions are equal?

a(b + c) = a(c + b)

Answers

Answer:

The Associative Property.

Answer:

They are equal because no matter how you flip an addition equation, the result will always be the same. aka the associative property.

Step-by-step explanation:

Because variable a never moved, but b and c did, the answer remains the same.

example: x + y = y + x

If three boxes of pasta cost $5.79, find the cost of 22 boxes.

Answers

Answer:

Step-by-step explanation:

3 boxes of pasta --> $5.79

1 box of pasta --> $5.79/3=$1.93

22 boxes of pasta --> $1.93 x 22 =$42.26

The answer would be 42.46

How I got the answer divide 5.79 by 3 three multiply the answer by 22 then you get the answer
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