The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?

Answers

Answer 1

Answer:

f(x) = 8 - 1.5x

Step-by-step explanation:

Here, we want to write a function that can be used to describe the x th term of the sequence

Mathematically, this can be calculated by looking at the numbers in the sequence

The difference between each successive term

is -1.5 ( 6.5-8, 3.5 -5)

So the formula for then x th term will be;

f(x) = 8 - 1.5x

where x refers to the number of the term , for example the 4th term

Answer 2

Answer:

-1.5x+9.5

Step-by-step explanation:

-1.5(1)+9.5=8

-1.5(2)+9.5=6.5

-1.5(3)+9.5=5

and so on....


Related Questions

Jackson is riding his bike in a 150 mile race. If he wants to keep the same pace for the first five hours then go as fast as he can the last 20 miles. How many miles should he travel in the first hour of his race?

Possible answers:
A. 18 miles
B. 22 miles
C. 24 miles
D. 26 miles

Answers

I think A or B I’m so sorry if this is wrong

Answer:

Step-by-step explanation:

It is b

Holly stops to drink 5 ounces of water every two miles she
runs. The further that Holly runs, the more she drinks water.
Complete the table by writing two equivalent ratios

Answers

Answer:

the amount of water she drinks is x, the mileage is y:

   x          y          

2 miles     5 oz

4 miles     10 oz

6 miles     15 oz

the ratios would be 4/10 and 6/15

Step-by-step explanation:

for every 2 miles Holly runs, she drinks 5 oz of water, right? the ratio is 5:2, so if you were to come up with other numbers that match the ratio, they have to be divisible by the parts of the ratio. so if she runs 2 miles, she drinks 5 oz. if she runs 4 miles, then she drinks 10 oz.

think of a ratio like a fraction (in this case it would be 2/5). if you were to make equivalent ratios, then the two fractions would have to be equal, right? well, when you simplify all of the numbers listed in the table above after making them into fractions, they would all go back to 2/5, so the numbers i came up with above are equivalent ratios, meaning they have the same value when simplified.

hopefully that helps and isn't too confusing! if you need other help, let me know! :)  

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Answers

Answer:

So he can buy 15 + he will have on his card left 0.65$

Step-by-step explanation:

20 / 1.29 = 15 song's

20 - 19.39 = 0.65

So he can buy 15 + he will have on his card left 0.65$

the person above me is correct.

Factor completely: f(x) - 2x^2 - 3x - 2

Answers

Answer:

(2x+1) (x-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the slope of (12,22) (-20,19)

Answers

Answer:

3/32

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

please help i am desperate.

Answers

Answer:

3y +9 = perimeter

Step-by-step explanation:

Answer:

4y+9

Step-by-step explanation:

To find the perimeter , you have to add up all the 4 sides

so y + y+2 + y+4 + y+3 = 4y+ 9

hope it helps

I just need help with the graphing the rest of them are all drop downs lol​

Answers

Begin by putting a point on -2 on the y axis. Next, repeat going up 3 and 1 to the right.

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)
PLEASE ANSWER ASAP!!!!

Answers

Answer:

Step-by-step explanation:

you suck

What is the slope of a line passing through the points (-1, 3) and (4, -7)

A. -2
B. -4/3
C. 3/4
D. 2

Answers

Answer:

A

Step-by-step explanation:

-7-(3)/4-(-1)=-10/5 which is -2

Use the slope formula y2-y1/x2-x1 to solve

Diane earns $14,500 a year. She pays 11% of her gross income for federal, state, and local taxes. She is taxed at the FICA rate of 7.65%. She has 3.5% of her income withheld for personal deductions. She is paid biweekly. What is her net pay for each pay period? Round to nearest cent.

Answers

Answer:

$434.16346

Step-by-step explanation:

Given that :

Gross earning= $14500

Federal, state and local taxes = 11%

0.11 * $14500 = $1595

FICA tax rate = 7.65%

0.0765 * 14500 = $1109.25

Personal deduction :

3.5% * 14500

0.035 * 14500 = $507.50

Total deduction :

$(1595 + 1109.25 + 507.50)

= $3211.75

Net earning : $(14500 - 3211.75) = 11288.25

Since she is paid bi weekly:

Number of biweeks in a year = 52 /2 = 26

Number of payments per annum = 26

Hence,

Net pay per period :

11288.25 / 26

= $434.16346

=

Ava has to attend at least 45 physics classes every semester to earn attendance points. If she can attend 3 classes every week, write an inequality that determines the minimum number of weeks Ava should attend physics classes. PLEASE ANSWER!

Answers

Answer:

45= 3x

Step-by-step explanation:

45 classes= 3 classes × x weeks

How could i improve my math skills? i'm so freaking bad at math i've been in a f for over a month and don't remember anything i've learned over the years. i'm in 10th grade and feel like imma fail or have to dropout of school to be a failure at life. >:(
how can i get better b4 i get kicked outta my homeschool and put into brick and mortar and get the 'rona.

Answers

Flash cards to study

Nicole deposits $300 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years

Answers

Answer:

the answer is 45%

y-step explanation:

if not sorry :(

Evaluate the expression 8n for n = 1 5/12

Answers

Answer

8n=34/3

Step-by-step explanation:

1 5/12=17/12

17/12*8/1=136/12=34/3

“Explain or show why 4:3 and 3:4 are not equivalent ratios.” Pls this is due today at 12:00 p.m

Answers

they are not equivalent because when you are doing ratios they are not interchangeable

Will give brainliest if you are right.

Answers

Answer:

X intercept is (2,0)

Y intercept is (0,-4)

Gib brainliest hahaha

(but hope i helped :)

Brainlest to whoever can tell me what pi stands for

Answers

Hi!

Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.

Hope this Helps!

Yours Truly,

~~~PicklePoppers~~~

answer this for me please gotta hurry!! 4x10^-2

Answers

Answer:

1/25 or 0.04 in decimal form

Step-by-step explanation:

i just used a calculator-

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.​

Answers

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.

1. -1 + 2

2. 1 + (-2)

3. -1 - 2
-
4. 1 - (-2)

Answers

Answer:

1. 1

2. - 1

3. - 3

4. 3

Is the answer.
1.) 1
2.) -1
3.) -3
4.) 3

True or False? The blue radius is perpendicular to the green chord.

Answers

The statement that the blue radius is perpendicular to the green cord is false

From the complete question,

The blue radius does not bisect the green chord

This means that the blue radius and the green chord do not meet at 90 degrees

Since both lines do not meet at 90 degrees, then they are not perpendicular

Hence, the statement that the blue radius is perpendicular to the green cord is false

Read more about radius and chords at:

https://brainly.com/question/1869643

Given the function h(x)=x^2-5x-1, determine the average rate of change of the function over the interval −2≤x≤5.

Answers

Answer: -2

Step-by-step explanation:

1. Triangle ABC is congruent to triangle EDF. So, Kiran knows that there is a sequence of rigid motions that takes ABC to EDF.
Please answer as soon as possible thank you!

Select all true statements after the transformations:
a. Angle A coincides with angle F.
b. Angle B coincides with angle D.
c. Segment AC coincides with segment EF.
d. Segment BC coincides with segment ED.​
e. Segment AB coincides with segment ED.

Answers

Answer: B.

C.

E.

Step-by-step explanation:

The true statements after the transformation, given that triangles ABC and EDF are congruent are: statements B, C, and E.

Recall what congruent triangles share in common:

If two triangles are congruent, all three sides of one triangle will be congruent to all corresponding three sides in the other triangle.If two triangles are congruent, all three angles of one triangle will be congruent to all corresponding three angles in the other triangle.

Thus, if triangle ABC is congruent to triangle EDF, then Kiran will know that after the transformation:

<A will coincides with angle E<B will coincides with angle D<C will coincides with F

Segment AC will coincides with EF, AB to ED, as well as BC to DF.

Therefore, the true statements after the transformation, given that triangles ABC and EDF are congruent are: statements B, C, and E.

Learn more here:

https://brainly.com/question/14181298

A hypothetical population consists of eight individuals ages 14, 15, 17, 18, 19, 21, 28, and 30 years What is the probability that a person in this population is a teenager? What is the probability of selecting a participant older than 30? What is the probability of selecting a participant who is at least 20 years old?

Answers

Answer:

1)0

2)3/8

Step-by-step explanation:

2)total number of participants who are at least 20 years old = 3

Total number of participants= 8

can someone help me?

Answers

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

La ciudadde osaka japon se encuentra a (9x10 elevado a 6 )+ (6x10 elevado a 5)+ (8x10 elevado a 3+ (8x10 elevado a 2)+ 7x10 de milan italia
a) expresa los datos en kilometros
b)¿ que distancia habra recorrido un avion q salio de milan a osaka y se encuentra aun tercio de su destino???

Answers

Answer:

A

Step-by-step explanation:

The correct answer is A

BEST ANSWER WILL BE MARKED BRAINIEST
Are same side interior angles complementary or supplementary?
Are same side exterior angles complementary or supplementary

Answers

Answer:

Side interior angles are most definitely supplementary

Step-by-step explanation: I'm pretty sure that other guy just guessed

Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.




Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
The length of the suit case is 24 inches while the height is 18 inches
Give me the answer in i will give you brainliest

Answers

Step-by-step explanation:

Given that,

The length of a baseball is 29 inches

Logan thinks he can bring the baseball bat home in his suitcase.

The length of the suit case is 24 inches while the height is 18 inches. We can find the diagonal (x) of the suitcase using Pythagorean Theorem as follows :

[tex]x^2=24^2+18^2\\\\x=\sqrt{900} \\\\x=30\ \text{inches}[/tex]

The diagonal of the suitcase is 30 inches. It means that he can put the baseball bat in the suitacse easily.

You have $40 to spend on coffee and tea. Graph the equation 8x+4y=40 , where x is the number of bags of coffee and y is the number of boxes of tea. Then find the maximum number of bags of coffee you can buy.

Answers

It do be 5 gimme Brainlyest

find the slope: 2x-6y=8​

Answers

Answer:

m = 1/3

Step-by-step explanation:

Answer:

Slope is 1/3 and y=mx+b form: y=1/3x-4/3

Step-by-step explanation:

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