Consider the first five terms of the following sequence.
2, 6, 18, 54, 162, ...
If the sequence defines a function, what is a reasonable domain and range of the function?
O A. Domain: all real numbers; Range: all real numbers
B. Domain: {1, 2, 3, 4, 5, ...}; Range: {2, 6, 18, 54, 162, ...}
C. Domain: {1, 2, 3, 4, 5, ...}; Range: all real numbers
O D. Domain: all real numbers; Range: {2, 6, 18, 54, 162, ...}

Answers

Answer 1

Answer:

B. Domain: {1, 2, 3, 4, 5, ...}; Range: {2, 6, 18, 54, 162, ...}

Step-by-step explanation:

2, 6, 18, 54, 162

This is a geometric sequence because it is increasing by multiplication. The common ration of the sequence is *3.

Our sequence values will serve as the y-values, or the range, and our x-values will be the term number.

Domain, or x-values: {1, 2, 3, 4, 5, ...}

Range, or y-values: {2, 6, 18, 54, 162, ...}

It is not A or D because we can't have negative term values. "All real numbers" implies all positive and negative integers.

The range also cannot be all real numbers for the same reason.


Related Questions

Pleaseeee helpppp it’s due in 6 minutes helpp!! Explain

Answers

Answer:

I might be wrong but since ur in a rush: 173

Step-by-step explanation:

Answer:

287.25 miles in 5.75 hours

Step-by-step explanation:

so he was first driving at 48mph because 168/3.5=48

5 miles per hour faster than that is 53mph

53*2.25=119.25

then we add 119.25 and 168

What are the coordinates of B’ if Triangle ABC is reflected over the x-axis?

Answers

Answer:

the coordinates of b if it is reflected over the x-axis (-2,5)

HELP ME NOW
04 Fill in the blank Drag and Drop
Raven has driven 90 miles, which represents 30% of the total distance she diving
What is the total distance Raven is driving, and how many miles does she have left to drive
Drag a number into each box to complete the sentences
Raven is driving a total distance of
miles. She has
miles left to die
11 27
11 30
11 63
1 90
11 117
11 210
11 300
11990

Answers

Answer:

its blurry

Step-by-step explanation:

100Pts fast plz
A triangular pen is modeled by △ABC. The vertices of △ABC are A(0, 8), B(12, 3), and C(7, –9). What is the area of the pen?

Answers

Answer:

The area of the triangle is 84.511 square units.

Step-by-step explanation:

First step, we need to calculate lengths of line segments AB, BC and AC by Pythagorean Theorem:

AB:

[tex]AB = \sqrt{(12-0)^{2}+(3-8)^{2}}[/tex]

[tex]AB = 13[/tex]

BC:

[tex]BC = \sqrt{(7-12)^{2}+(-9-3)^{2}}[/tex]

[tex]BC = 13[/tex]

AC:

[tex]AC = \sqrt{(7-0)^{2}+(-9-8)^{2}}[/tex]

[tex]AC \approx 18.385[/tex]

Now, we can determine the area of the triangle ([tex]A[/tex]) by Heron's formula:

[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)

[tex]s = \frac{AB+BC+AC}{2}[/tex] (2)

Where [tex]s[/tex] is the semiperimeter of the triangle.

If we know that [tex]AB = 13[/tex], [tex]BC = 13[/tex] and [tex]AC \approx 18.385[/tex], then the area of the triangle is:

[tex]s = 22.193[/tex]

[tex]A = 84.511[/tex]

The area of the triangle is 84.511 square units.

Last season, two running backs on the Steelers
football team rushed for a combined total of
1550 yards. One running back ran for 450 yards
more than the other. How many yards did they
each run?

Answers

Answer:

Step-by-step explanation:

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. this is the equation that was used

         x + y = 1550

         y  = 4x

I need help to do this dont know how to do!

Answers

Answer:

Step-by-step explanation:

Even I need help with that

This afternoon Ariana left, rode the bus 3/4 of a mile, and then walked 1/2 of a mile to get home. How much farther did Ariana ride than walk

Answers

3/4 - 1/2
make the denominators the same
3/4 - 2/4 = 1/4 of a mile
The answer above is the right answer

Six friends together with their respective partners all meet up for a meal. To  commemorate the occasion, they arrange for a photograph to be taken of all 12 of them  standing in a line.How many different arrangements are these if each friend is standing next to his or her partner?​

Answers

Answer:

1440 different arrangements are possible.

Step-by-step explanation:

Number of arrangements of n elements:

The number of arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

6 couples, in which each can be positioned in 2 ways(him/her or her/him). So

[tex]T = 2A_{6} = 2*6! = 1440[/tex]

1440 different arrangements are possible.

Helpppp!!
What is the value of x and y?

Answers

Answer:

x=8 and y =40

Step-by-step explanation:

this is the answer

HelllpFind an equation of a line that contains the points (-3,-1) and (2,-2). Write the equation in slope-intercept form.

Answers

Answer:

y = -1/5x -8/5

Step-by-step explanation:

(-3,-1) and (2,-2)

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

m = ( -2 + 1)/(2 + 3)

m = (-1)/(5)

m = -1/5

y - y1 = m(x - x1)

y + 1 = -1/5(x + 3)

y + 1 = -1/5x -3/5

y = -1/5x -8/5

If a price increases by 16%, what number can we multiply the old price by to get the new price?

Answers

Answer:

Multiply by 1.16

Step-by-step explanation:

Answer:

Multiply it by 0.16

half the sum of 8 and r​

Answers

Ummm I need the full question to help...

From which types of data display can the number of observations in a data set be determined?
A. Dot plot
2. Box plot
3. Histogram

Answers

dot plot because it has the points

Element X is a radioactive isotope such that its mass decreases by 67% every year. If
an experiment starts out with 740 grams of Element X, write a function to represent
the mass of the sample after t years, where the daily rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per day, to the nearest
hundredth of a percent.

Answers

Answer:

Step-by-step explanation:

X is mass which I s decrease. If you have 740 grams of element x and you add the function.per the rate day you will have a hundredth percent.

Answer:

f(t)=740(0.9970)^365t

0.30% decrease per day

(14z - 10) and (177 + 4)". Find the measures of the angles.

Answers

Answer:

Step-by-step explanation:

A regular polygon is a polygon that is both equiangular and equilateral. All sides are equal length placed around a common center so that all angles between sides are also equal. When the number of sides, n, is equal to 3 it is an equilateral triangle and when n = 4 is is a square.

What is the value of x? Please help asap

Answers

Answer:

x=27

Step-by-step explanation:

It’s a ratio:

9.9/11=x/30

cross multiply

11x=297

x=27

(2x-1)^2
PLEASE HELP

Answers

Answer:

4x^2 - 4x + 1

Step-by-step explanation:

Work out the value of 6c + 7
when c = 8

Answers

Answer:

6c+7 (c=8)

Step-by-step explanation:

6×8+7

48+7

do the addition answer will come

The value of the expression  6c + 7 at c =8 will be 55.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of the expression will be given as:-

E = 6c+7

Put (c=8) in the above expression

E =6×8+7

E = 48+7

E = 55

Therefore the value of the expression  6c + 7 at c =8 will be 55.

To know more about Expression follow

https://brainly.com/question/723406

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Please help me with this I need to know

Answers

Answer:Just multiply Step-by-step explanation:do 12x10x20=2,400

Which which book did Khaptad swami written?

Answers

Step-by-step explanation:

The Science of Thought is the book

The science of thought by khaptad nana

Mr Kinney biology class completed a lab to determine blood type. The results are reported in the frequency table. What is the relative frequency of a student having o type blood? 0.1 0.2 0.3 0.4

Answers

Answer:

o . ooo 2 and dr 45009.7 ok byy

Simplify the fraction 84/96.

Answers

Answer:

7/8

Step-by-step explanation:

U have to use the highest common factor and the lowest common denominator

Answer:

[tex] \frac{7}{8} = 0.875 [/tex]

Step-by-step explanation:

devide the numerator and denumerator by nine

an expression to represent ( w increased by 5 )

Answers

Answer:

W + 5

Step-by-step explanation:

Given a number, W

An increase in W by a constant 5 ; can be expressed as ;

W plus the constant value increase

Hence,

Increase in W by 5 equals ;

W + 5

PLEASE HELP ILL GIVE BRAINLIEST AND 20 POINTS!!!!!

The 8th grade is holding a fundraiser to raise money for an end of the y ear party. They are selling T-shirts and Caps to raise money. They make $15 profit from each T-shirt and $5 profit from each hat. Their goal is to raise $900.

Part A: Write and equation that represent this situation.

Part B: Find 3 combinations of shirts and caps that will achieve their goal of raising $900.

A CORRECT ANSWER WILL HAVE 4 PARTS!​

Answers

For each t-shirt sold, which I'll call t, 8th grade makes $15.

For each hat sold, which I'll call h, 8th grades makes $5.

They want to raise $900

A: The equation to represent this situation is 15t+5h=900 because if 8th grade adds up all the profits from both hats and t-shirts, the goal is to make $900, so the total profit from shirts and hats should equal 900 dollars.

B: I'm just going to choose random numbers. Let's say nobody wanted to buy a hat from the 8th graders (h=0). You'd end up with

15t+5(0)=900

15t=900

t=60 - If they sold 0 hats they would have sold 60 shirts to raise $900

Now let's say it was the other way around - nobody wanted to buy t-shirts

15(0)=5h=900

5h=900

h=180 - If they sold 0 t-shirts they'd have to sell 180 hats to raise $900

Finally let's say they sold 30 t-shirts

15(30)+5h=900

450+5h=900

5h=450

h=90 - They'd have to sell 30 t-shirts and 90 hats to raise $900

Mr Mazibuko monthly salary before tax is R12 700 what will be his salary after paying 11% tax​

Answers

Answer:

R11 303

Step :

Find 11% of R12 700

R12 700 × 11/100

=R1 397

then substract the 11% from R12 700

R12 700 - R1 397

=R11 303

Margie needs 7 ticket to the same soccer game.
Describe the best way to figure out Margies EXACT cost, if we know that 3 tickets cost $53.00.

Answers

do 3 divided by 53 to find the cost of one ticket and then multiply the that number with 7

Answer:

$123.66

Step-by-step explanation:

53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66

Solve problem below

g(x) = (x ^ 2 + 4x + 3)/(x ^ 2 - 81)

Answers

Answer:

x=9, -9

Step-by-step explanation:

Use difference of squares to the denominator.

so

[tex]\frac{x^2+4x+3}{(x+9)(x-9)}[/tex]

If you plug 9 or -9 for x, the denominator becomes 0, meaning that the value would be undefined. Thus, if would not be in the domain of g.

So, x=9, -9

A single die is rolled once. Find the probability of rolling a number less than 7.

Answers

Answer:

1/6

Step-by-step explanation:

The die is rolled once, so it is 1 out of the total number on the die ie 6, as a die has only faces or sides so its obvious out of these 6 faces only one will show.

What is the sum of the measures of the interior angles of a 20-sided figure?

Enter your answer in the box.

__°

Answers

The sum of the measures of the interior angles of a 20-sided figure is 3240.

What are Interior angles ?

An interior angle of a polygon is an angle that is created between two of the polygon's adjacent sides. The interior angle of a polygon is also known as the angle measured at the interior of a polygon.

the number of sides of given polygon is 20.

we know that, sum of the measures of the interior angles can be found by using formula : (n-2) × 180

where n= no. of sides of given polygon

So, sum of the measures of the interior angles of 20 sided figure :

     = (n-2) × 180

     = (20-2) × 180

     = 18 × 180

     = 3240 .

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Given a function described as equation y =3x+4 ,what is y when x is 1,2,3

Answers

Answer:

When x  =1, y = 3(1) + 4 = 7

When x = 2, y = 3(2) + 4 = 10

When x = 3, y = 3(3) + 4 = 13

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