Find the next three terms in the sequence below.
[tex]\frac{21}{2} , \frac{19}{3}, \frac{17}{4} , 3, . . .[/tex]

Answers

Answer 1

Answer: 13/6

Step-by-step explanation:

Based upon the previous sequence.

1.there is a constant decrease of two in the numerator

2. There is a constant increase of one in the denominator

to find the fourth number in the sequence I used One of the numbers from the previous to determine the answer.

17/4 — —> then I followed the pattern and determine what fraction 3 was       .   .                 before it was converted into a whole number.

which would be 15/5 —> Now considering equations that are written like this also mean division, because in this case division is possible the answer would be 3, which would make the whole number 3 instead of 15/3. considering it was an improper fraction.

____________________________________________________________

Now If 15/5 wasn’t converted into 3, The answer to the  sequence would be 13/6. If you follow the pattern like I said before there is a certain amount of increase and decrease so 13/6 will be your answer. The only reason is not a whole number because 13 can’t be divided by six to get a whole number.

Answer 2
13/6 because the nex

Related Questions

Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte . She wants to keep her bill at $75.10 per month . Write and solve an equation which can be used to determine the number of gigabytes of data Aubrey can use while staying within her budget .

Answers

Answer:

57.50+4x=75.10

x=4.4

So she can use up to 4.4 gigabytes of data

You are building a door frame. The two sides are parallel and the top and bottom are also parallel. Which additional statement(s) give enough information to conclude that the door frame forms a rectangle?

Answers

Answer:

you would take away the bottom

Step-by-step explanation:

An rectangle has 18 cm As the base and 17 cm as the height what is the area

Answers

Answer:

306

Step-by-step explanation:

I think you just multiply 18 x 17=306

Write a story that could represent this math problem.

Answers

I don’t see the problem

In your own words what is the definition of reflection (in geometry)

Answers

Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

Triangle similarity-
Solve for x!!!
Please help!

Answers

Answer: im thinking it is 5 but i could be totally wrong. im not the smartest lol

Step-by-step explanation:

which value of x makes the equation 1.25(4 x-10)=7.5 true?
A. 3.5
B. -1
C. -0.5
D. 4​

Answers

Answer:

4

Step-by-step explanation:

1.25(4x-10)=7.5

First step is to divide the 1.25 on both sides

4x-10 = 6

next step is to get x by itself by adding 10 to both sides

4x = 16

continue getting x by itself by dividing both sides by 4

x = 4.

Yolanda bought 4 pounds of potatoes how many ounces of potatoes did yolanda buy?

Answers

Answer:

D. 64 oz.

Step-by-step explanation:

There are 16 ounces in a pound. So multiply 4 x 16 to get 64 ounces.

Hope it helps!

Answer:

64

Step-by-step explanation:

well. there’s 16 oz in a pound. so if there’s 4 pounds then take 16 x 4 which is 64

she bought 64 oz of potatoes

The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?

Answers

21 miles because 6x3+3
21 miles because 6x3+3 I took the other persons answer lol

plzzz help me yall due soon

Answers

Answer:

the answer is d ur welcome.

For this question the answer is d

One year, the population of a city was 252,000. Several years later it was 201,600. Find the percent decrease.

Answers

Answer:

0010110010100100001010010010101010010101010010010

001010010010100010010101000001010000101001010010

Respuesta en número binarios

Use the distributive property to write (−1)( + 3) as an equivalent expression.

Answers

Answer:

-3

Step-by-step explanation:

- times + is equal to -

Solve the system using substitution.
Y-2x=3
3x – 2y=5
A.(-1/2,2)
B. (2,7)
C. (-8,-13)
D. (-11,-19)

Answers

D (-11,-19)

I solved using elimination sorry
P.S. Answer is still correct

Which relationship describe angles 1 and 2

Vertical angles
Adjacent angles
Supplementary angles
Complementary angles

Answers

They are supplementary angles. They are located on a straight line, and when added together they will add up to 180 degrees.

14 is whatpercent of 25

Answers

Answer: the answer is 56

Hope this Help

Step-by-step explanation:

100%= 25

X%= 14

100%=25(1)

X% = 14(2)

100%/x% = 25/14

X%/ 100% = 14/25

X=56%

Ok last question its very "hard" mods don't delete

what is 3x+12= 42

Answers

Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

Subtract 12 from both sides

3x = 42 - 12

Subtract 12 from 42 to get 30

3x = 30

Divide both sides by 3

x = 30/3

Divide 30 by 3 to get 10

x = 10

PLEASEEEE HELPPPPPP!!!

Answers

Answer:

18

Step-by-step explanation:

What is the correct factorisation of?
X^2+6x+8​

Answers

Answer:

Step-by-step explanation:

Given that: x  

2

+6x+8

                 =x  

2

+4x+2x+8,        (split middle term)

                 =(x  

2

+4x)+(2x+8),    (group pair of terms)  

                 =x(x+4)+2(x+4),         (factor each binomials)

                 =(x+4)(x+2),              (factor out common factor (x+4)

Hence factors of x  

2

+6x+8 are (x+4)(x+2)

x² + 6x + 8

= x² + 4x + 2x + 8

= x(x+4) + 2(x+4)

= (x+4)(x+2)

Given the set of ordered pairs: {(1,3), (2,7), (x,5), (6,4)}.
What is a value for x that would NOT make the set a function? Explain why.

Answers

Answer:

2

Step-by-step explanation:

2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.

Note:

The x-coordinate could also be 1 or 6 because they have been used as domains as well.

Hope it helps!

Which of the following is a polynomial?

Answers

Answer:

A. 3x^2+6x is a polynomial

170 in ratio of 9:8 sorry I’m not to good at math

Answers

Answer:

if 170 is subbed for 9, then the answer is 151.111111111(continued) and if its in the 8, then the answer is 191.25

Step-by-step explanation:

hope this helps


Find the slope of the line segment.

Answers

Answer:

Option 3

Step-by-step explanation:

-2/3 since the line is a total of 3 the 2 is negative which would make it the answer meaning that is the only negative option.

Move values to the lines to complete the sentence about triangle p’ q’ r’

Answers

Do u have an attachment?? :)

SOMEONE PLEASE HELP ME WITH THIS QUESTION!

Answers

Answer:

i dont know but i have a pic for u

Step-by-step explanation:

At most 3 because 21% of 10 people is 2.1 people so the most would be 3 according to that statistic.

A bag contains pennies, nickels, dimes and quarters. There are 50 coins in all. Of the coins 16% are pennies and 42% are dimes. There are 5 more nickels then pennies. How much does the bag contain

Answers

Answer: 21 Nickels

21 dimes

8 pennies

Step-by-step explanation:

Find the composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3.

Answers

Answer:

Step-by-step explanation:

(f∘g)(x) = f(g(x))

 = f(x²-3)

 = 2(x²-3) + 1

 = 2x² - 5

(f∘g)(-2) = 2(-2)² - 5

  = 2·4 - 5

  = 8 - 5

  = 3

The composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 –  3 will be 3

What is composition of a function ?

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.

The notation used for composition is: (f o g)(x) = f(g(x))

(fog)(x) = f(g(x))

this implies , (fog)(-2) = f(g(2))

given :

f(x) = 2x + 1

g(x) = x2 – 3

(fog)(x) = f(g(x)) = f(x^2 - 3)

                        =  2 (x^2 -3) +1

                        = 2x^2 - 5                                    equation 1

fog(-2) =  f(g(2))

substituting the value of x = 2 in equation 2

           = 2 * (2)^2 -5

           = 3

learn more about composition of a function :

https://brainly.com/question/20379727?referrer=searchResults

#SPJ2

plz help this is what might get m to a 100 so plz help me

Answers

Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4

can someone help I will give the brainliest Plz help u will get 50 points

Answers

Answer:

B.) 6

2.) 70

3.) 56

Step-by-step explanation:

B.) 2(6) - 6

= 12 - 6

=6

2.) 7(2(3)+4)

=7(6+4)

=42+28

=70

3.) 10(3) + 4(3) + 14

= 30 + 12 + 14

= 42+14

=56

Have a wonderful day

:)

True or false A graph that shows distance per unit of time shows speed. _________

Answers

True

hope this helped

Which graph represents the function y = 2 x - 2?
3
414

2
2
2
2
x
4-2
2
4
-4-2
-4
-2
-2
-2
4

Answers

The graph which represents the function; y = 2 x - 2 is the second graph from the left.

Graph of Functions

By considering the slope-intercept form of the equation of a straight line;

y = mx + c

By observation, the graph of the function has y-intercept, -2 and has slope, m = 2

The graph most comparable to the information above is the third graph and hence is the graph of the function.

Read more on graph of a function;

https://brainly.com/question/926962

Answer:

3rd one or c

Step-by-step explanation:

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