A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided. Input numbers: 1, 2, 3, 4, n. Output numbers: 3, 1, -1, -3, _. Can someone please quickly explain this to me?

Answers

Answer 1

Answer:

  5 -2n

Step-by-step explanation:

There are several ways you can find the linear function for this table of values.

find the slope and intercept and write the slope-intercept equationfind the slope and use a point to write the point-slope equation; solve for yrecognize the x-values are sequential starting with 1, so the y-values are an arithmetic sequence; write the formula for the n-th term of an arithmetic sequence

Using the last approach, we see that the first term is 3, and the common difference is 1-3 = -2. Then the n-th term is ...

  an = a1 +d(n-1) . . . . . . general term of arithmetic sequence with first term a1 and common difference d

  an = 3 -2(n-1) . . . . sequence with a1=3, d=-2

The output when the input is n is ...

  3 -2(n -1)

This can be simplified to ...

  5 -2n . . . . output for input of n


Related Questions

when 8 is added to 1/3 of a number, the result is 23 find the number

Answers

Answer:

The number would be 5!

Step-by-step explanation:

23-8=15

15/3=5

Have a wonderful day!! :)

Answer:

8+x/3=23

Step-by-step explanation:

x/3=15

x=15x3=45

The volume of a cube is 7,077.888 cubic meters. What is the length of each side of the cube?

Answers

Answer:

19.2

Step-by-step explanation:

Take note:

a = edge

v = volume

Equations for a Cube

[tex]v=a^{3}[/tex]

[tex]a=v^{\frac{1}{3} }[/tex]

We are given V. Plug 7,077.888 into the second equation.

[tex]a=7077.888^{\frac{1}{3} }[/tex]

[tex]a=19.2[/tex]

Please help me ASAP!!!!!

Answers

The second, fourth and fifth

Answer:

Since

x=−5 is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step-by-step explanation:

Express the following equation in the form of ax^2+bx+c=0.
(4a+3)^2 = (a+5)(a-2)

Answers

Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

(4a + 3)² = (a + 5)(a - 2)

16a² + 24a + 9 = a² + 3a - 10

15a² + 21a + 19 = 0

If the slope of a line is 7/10, how much vertical change will be present for a
horizontal change of 63 ft?

Answers

If the slope of the line is 7 /10, the vertical change that will be present for a horizontal change of 63 ft is 44.1 ft

What is a slope?

The slope of a line is the measure of its steepness. Therefore,

slope = change in y(vertical) / change in x(horizontal)

slope = y₂ - y₁ / x₂ - x₁

slope = 7 / 10

Therefore,

7  / 10 = y / 63

cross multiply

441 = 10y

divide both sides by 10

y = 441 / 10

y = 44.1 ft

learn more on slope here: https://brainly.com/question/18555739

Convert 2.19 liters to milliliters.

Enter your answer in the box.

Answers

Hey there!

1 litres = 1000 milliliters

To find the value we multiply litres × 1000

=> 2.19 × 1000

=> 2190

Therefore, 2.19 to milliliters is 2190 millilitres

Which best describes the graph of the cubic function f(x) = x3 x2 x 1?.

Answers

Graph of a function is plotting of its input and corresponding output. The graph of the considered cubic function is attached below.

How do we make graph of a function?

Suppose the considered function whose graph is to be made is [tex]f(x)[/tex]

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values [tex]f(x)[/tex]

are plotted on the vertical axis.

They are together plotted on the point

[tex](x,y) = (x, f(x))[/tex]

This is why we usually write the functions as:

[tex]y = f(x)[/tex]

For the considered function [tex]f(x) = x^3 +x^2 +x + 1[/tex] is attached below.

Learn more about graphing functions here:

https://brainly.com/question/10166124

(;-;) I NEED HELP W THIS PLSSS HELP WILL MARK BRAINLIEST

Answers

Answer:
With respect to angle A, a is opposite, b is adjacent, c is the hypotenuse

With respect to angle B, b is opposite, a adjacent, and c is the hypotenuse.

Step-by-step explaination:

To find the opposite side of an angle of a right triangle - look at the side that is directly across from that angle.  For example, angle A shows that the side directly across from it is side a.


To find the adjacent side of an angle of a right triangle - look at the side that is right next to it and connected to the 90 degree angle.  For example, angle B shows that the side that is next to it and connected to the 90 degree angle is side b.

The hypotenuse will always be the longest side opposite the 90 degree angle.

A large container holds 7 gallons of water. It begins leaking at a
constant rate. After 8 minutes, the container has 5 gallons of
water left.

At what rate is the water leaking and After how many minutes will the container be empty?

Answers

Answer:

The container will take 25 minutes to go from full to empty.

Step-by-step explanation:

In 15 minutes, the container has lost 3 gallons of water (

5

2

=

3

).

Since the leak is at a constant rate, we can determine that every five minutes the container loses one gallon.

So for the container to lose the full 5 gallons will take 25 minutes (

5

×

5

=

25

42 + (-31) + (-12) =

Answers

Answer:

-1

Step-by-step explanation:

I used a calculator :)

The answer is -1

Because if you do all the math you will find that the answer is -1.

The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of having any number of siblings, X, for a randomly selected student. Which number of siblings is least likely?.

Answers

The number 4 siblings are least likely to be selected

What is the number of a sibling to be selected?

Probability is the likelihood of an event occurring or not. Probability value ranges from  impossibility(0) to certainty(1).

The lower the value, the less likely the event is bound to occur.

From the probability distribution table, the probability of having 4 siblings at the game is 0.

This is the lowest out of all the given values in the probability distribution table. Therefore, it is the least likely event.

Thus the number 4 siblings are least likely to be selected

To know more about probability follow

https://brainly.com/question/24756209

4n^2+16n+15 factor completely

Answers

Answer:

(2n+3)(2n+5)

Step-by-step explanation:

Simplify -|-5 + 2|.
7
3
-7
-3

Answers

Answer:

-3

Step-by-step explanation:

-|-5+2|

= -|-3|

= - 3

Hope it helps

Answer:

-3

Step-by-step explanation:

-|-5+2|

-|-3| absolute value of -3 is 3

-3

can someone please simply this and show the work ?

Answers

Answer:

it's one of this two. if it's exactly how you have written it , it's the first picture.

Answer:

12[tex]\sqrt{5}[/tex]x^5

Step-by-step explanation:

Apply exponent rule

Add the numbers

Multiply the numbers

Factor integer

:)Hope you enjoy this:)

Solve the two-step equation and identify the steps.

1.4x + 6.1 = –7.9

1. The first step is to
on both sides.
2. The second step is to
on both sides.


The solution is x =
.

Answers

Answer:

x = -10

Step-by-step explanation:

1.4x = -7.9 -6.1

1.4x = -14

x = -14÷1.4

x= -10

Answer:

x = -10

Step-by-step explanation:

Four people each deliver food to people’s homes. Curtis charges a flat flee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles. How much does Curtis charge to deliver the food?
Please show your work

Answers

The equation used is 2.5+0.2x=y
So, if x=6, then its 2.5+0.2(6)=2.5+1.2=3.70, therefore the final answer is $3.70

Answer:

$3.70

Step-by-step explanation:

0.2 x 6 = 1.2

1.2 + 2.5 = 3.7

A farmer had 3,000 acres of land. He planted 30% of it with wheat, 45% of it with corn, and the rest with oats.
Find how many acres he planted with each kind of grain

Answers

Answer:

900 acres of wheat

1350 acres of corn

750 acres of oats

Step-by-step explanation:

3000 = 100%

÷ 10 both sides

300 = 10%

× 3

900 = 30%

300 = 10%

× 4

1200 = 40%

300 ÷ 2 = 150 (5%)

1200 + 150 = 1350

1350 + 900 = 2250

3000 - 2250 = 750

Give the coordinates of each vertex (D, E and F) and explain how you found the coordinates using the transformation rules.

Answers

Step-by-step explanation:

We have that the vertices of triangle ABC are:

A(4, 2)

B(7, 9)

C(7, 2)

First, we are reflecting over the y axis, which makes (x,y) map onto (-x, y). This gives us:

A'(-4, 2)

B'(-7, 9)

C'(-7, 2)

Then, we translate 5 units down, meaning we subtract 5 from each of the y coordinates. This gives us a final answer of:

D(-4, -3)

E(-7, 4)

F(-7, -3)

The price of a new car was £12500It is reduced to 11625Work out the percentage reduction

Answers

Answer:

The percentage reduction is 7%

can some one help me please

Answers

Answer:

Step-by-step explanation:

i think it is reflection in the line y=-1

Solve for x + 5 = 30

Answers

Answer:

25

Step-by-step explanation:

Anita needs to build a house for a school project. The base of the house is a rectangle where the length of a rectangle is 8 more than the width. Its area is 240 ft sq

Answers

L = lengh

W = width

french reasoning ( hello from France ) !

The base of the house is a rectangle where the length of a rectangle is 8 more than the width.

=> L = W + 8

and

Its area is 240 ft sq

W x L = 240

L = W + 8

W x L = 240

=> W x (W+8) = 240

W² + 8W - 240 = 0

Δ = 8² - 4*1*(-240) = 32²

W' = (-8 + 32) / 2 = 12 ft

W'' = (-8 - 32) / 2 = impossible

at the end

W the width = 12 ft

and then the lengh = 12 + 8 = 20

area = 12 x 20 = 240 ft²

Can someone help me please

Answers

Answer:

[tex]it \: has \: a \: circular \: symmetry[/tex]

a2 - b2 - 2a + 1 plss give me answer fast

Answers

Answer:

( a − 1 + b )( a − 1 − b )

.

Answer:

(a−1+b)(a-1−b)

Step-by-step explanation:

I need help..
5x-3+3x+7 if x=3

Answers

Answer:

28

Step-by-step explanation:

Replace x with 3, and multiply the number next to it.

5(3)= 15

3(3)=9

so, 15-3+9+7=28

Answer:

28

Step-by-step explanation:

To solve this, replace every x with (3). If x is next to a number, that means you multiply that number and the value of x. This gives us the equation 5(3)-3+3(3)+7. When a set of parentheses are next to a number, you multiply. 5 times three is 15, and 3 times 3 is 9. This gives us 15-3+9+7. 15 - 3 is 12. 12 + 9 is 21. 21 + 7 is 28. 28 is your answer.

A truck driver averages 45 miles per hour while delivering freight and 60 miles per hour on the return
trip. The total drive time is 7 hours. How long does each trip take?

pls send help a girl is struggling

Answers

Answer:

Delivery Trip: 3 hours

Return Trip: 4 hours

Step-by-step explanation:

d/60 + d/45 = 7

45d/2700 + 60d/2700 = 7

105d/2700 = 7

105d = 18900

d = 180

180/60 = 3

180/45 = 4

Answer:

delivering 180/45 = 4 hours and return trip 180/60 = 3 hours

Step-by-step explanation:

d = unknown number to calculate each trip

[tex]\frac{d}{45}[/tex] + [tex]\frac{d}{60}[/tex] = 7

find common denominator (45 * 60 = 2700)

([tex]\frac{60}{60}[/tex])*([tex]\frac{d}{45}[/tex]) +( [tex]\frac{45}{45}[/tex])*([tex]\frac{d}{60}[/tex]) =7

[tex]\frac{60d}{2700}[/tex] + [tex]\frac{45d}{2700}[/tex] =7

[tex]\frac{60d + 45d}{2700}[/tex] =7

[tex]\frac{105d}{2700}[/tex] = 7

105d = 7 * 2700

105d = 18,900

d = 18900/105

d = 180

delivering 180/45 = 4 hours

return trip 180/60 = 3 hours

What is the volume of a sphere with a radius of 2.5 units?

Answers

Answer: A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a geometrical object that is a three-dimensional analog to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the center of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians.

Step-by-step explanation: The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… The volume of Sphere. Enter the volume contained within a sphere. The radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.

Question 2 of 10
In the diagram below, BD is parallel to XY. What is the value of x?
*
A. 120
B. 60
ОООО
D. 40

Answers

D . 30 I think it’s that because half of 60 is 30 so yea it’s 30 .

Answer:

Step-by-step explanation:

It’s 60 baka

Sled dogs have thick fur to keep them warm. But they can overheat while running if it’s too warm outside. The maximum temperature the dogs can run in is 71º higher than their minimum of -71ºF. What is the maximum temperature that they can run in?

Answers

Answer:

-71 + 71 =0 so 0°

Step-by-step explanation:

I hate the fact that it needs to be 20 letters

2. Mr. Rivera revealed that 70% of the students got an A on the vocabulary quiz in ELA this.
week. If there are 100 students in Mr. Riverds class, create a model that represente bo
many students got an A.

Answers

Answer:

143 to the nearest Whole #

Step-by-step explanation:

100/0.70=142.59

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