Mathematics High School

83 Tee (CsT Sequences and Functions
Question 29 of 25
Decide whether the data in the table represent a linear function or an
exponential function Explain how you know.
A
4
2
3
14
-23
32
OAThe data represent an exponential function because there is a
OB. The data represent a linear function because there is a common
OC. The data represent an exponential function because there is a
Common ratio of 4.
difference of 9.
Common ratio of -
5
OD. The data represent a linear function because there is a common
difference of -9.

Answers

Answer 1

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x y

1 4

2 -5

3 -14

4 -23

5 -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

Related Questions

Using the order of operations, what should be done first to evaluate 6 + 10-(-5)(3) - 5?

Answers

Answer:

(-5)

Step-by-step explanation:

Using PEMDAS you should do (-5) because Parenthisis Always Go First, since their are two parenthisis go left to right and answer those first. after that do (3) and after that simply go left to right with 6+10-(-5)(3)-5. Hope this helps.

What is this i dont know pls help me

Answers

I’m going to say it is A hope this helps

can someone help me

Answers

Answer: B) 6 minutes

============================================================

Explanation:

Let's find the slope of the table. This will tell us the rate of change.

m = slope

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

m = (25250 - 26375)/(2 - 1) .... I used the first two rows

m = -1125/1

m = -1125

The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.

Since we're told the initial altitude was 27500 ft, this means b = 27500

This means y = mx+b turns into y = -1125x+27500

x is the number of minutes and y is the altitude at time x

As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.

------------------

Now plug in y = 16250 and solve for x

y = -1125x+27500

16250 = -1125x+27500

-1125x+27500 = 16250

-1125x = 16250-27500

-1125x = -11250

x = -11250/(-1125)

x = 10

It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.

Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.

What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?

Answers

Answer:

22meter per second

Step-by-step explanation:

374/17=22

Answer:

Could I have branliest please and heart answer is below <>

Step-by-step explanation:

374meters. 17

(/). divided by (/)

17seconds 17

Equals 22 meters per second

HELP PLEASE!!!! I ONLY HAVE 3 MORE MATH RIDDLES LEFT!!!!

Answers

Answer:

Explanation:

Buddy- 6

Hermey-3

____________________________________________________________

It takes Buddy 94 years to be 100 so you would add 94 to both boys ages!

6+94=100 years old!

3+94= 97 years old!

Answer:

He is going to be 50 years old

Step-by-step explanation:

if he was 3 when his brother was 6 then it would mean that when his brother is 100 he should be 50 because that would be half. You can divide it if you want some extra proof :)

I need help asap
Less then 5 minutes

Answers

Answer:

um well he would be well rested so he would score higher than others but I'm not sure on the exact number maybe around 90-100

......ah....................

Answers

Answer:

a infinatley many

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are no solutions.

Hope this helps!

What is the slope of a line perpendicular to the line whose equation is 12x-3y=81. Fully reduce your answer.

Answers

Answer:

-1/4

Step-by-step explanation:

-3y = 81-12x

y= 4x - 27

4m = -1 x 1/4

= -1/4

help ;-; Im almost overdue and I'n only on Q.13/24

My teacher is gonna kill me, this is the third assignment that's gonna be overdue

Answers

Answer: C (-7/18)

Step-by-step explanation: you flip the denominator and numerator and keep the negative

C is the correct answer you flip the numbers around

True or False:
The geometric meaning of the word normal is perpendicular.

Answers

Answer:

A normal is an object such as a line or vector that is perpendicular to a given object. ... If normal is 90 degree to the surface, that means normal is used in 3D. Perpendicular in that case is more in 2D referring two same entities (line-line) with 90 degree angle between them.

False No it’s not perpendicular is two lines that meet at a right angle

What is the equation of a line perpendicular to -x +2=y that intersects the line at (-1,5, 3,5)?

Answers

Answer:

Step-by-step explanation:

slope equals 1 and y-int equals 5

Planes A and B are shown. If a new line, p, is drawn parallel to line l, which
statement is true?
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same plane as line l.
O Line p must be drawn in the same plane as line n

Answers

Answer: the second one

Step-by-step explanation:

I’m smart I have al a’s

The true statement is - Line p must be drawn so that it can lie in the same plane as line l.

What is plane?

"It is a two-dimensional flat surface with no edges or thickness."

What are parallel lines?

"Two lines in the same plane that are at equal distance from each other and never meet."

For given question,

Planes A and B are shown.

If a new line, p, is drawn parallel to line l, must be drawn so that it can lie in the same plane as line l.

Line l lie in plane A.

So, the line p must be drawn in the plane A.

Therefore, the true statement is - Line p must be drawn so that it can lie in the same plane as line l.

Learn more about parallel lines here:
https://brainly.com/question/16701300

#SPJ3

In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°

Answers

Answer:

1.34 hope this helped

Step-by-step explanation:

Answer: 0.8

Step-by-step explanation:

S/sin 23 = 1.5/sin 135

s= 1.5 sin23/sin 135 = 0.829

ROUND IT TO THE NEAREST 10th and you get 0.8

Pleass HELP I GIVE BRILLIANT ANSWER

Answers

Answer:

The Best answer will be D having to add 7 then subtracting 8, becoming -1, then dividing to become D.

Step-by-step explanation:

Solve: 7 -2x= 2(x - 4) - 1

Answers

Answer:

the answer is four

Step-by-step explanation:

you distribute the 2 to the numbers in the parenthesis

2. Express each of the following percentages as a decimal.
12%

Answers

Answer:

.12

Step-by-step explanation:

if it is out of 100% then 12% is equal to .12 from 1

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:B if two lines are cut by a traversal, then corresponding angles are congruent.

Step-by-step explanation: the corresponding angles theorem proves this.

im sure the answer is B :)

I need an answer for both of these

Answers

Answer:

1. x < -2

2. x < -9

Step-by-step explanation:

1. x + 15 < 13

Minus 15 on both sides.

x + 15 - 15 < 13 - 15

+15 - 15 makes a 0.

x < -2

2. x + 11 < 2

Minus 11 on both sides.

x + 11 - 11 < 2 - 11

+11 - 11 makes a 0.

x < -9

Answer:

1. x < -2

2. x < -9

3. x < 15

Step-by-step explanation:

Treat the < and > symbols as an equals sign to make it less confusing to solve. Then solve for x like you normally would.

1. x+ 15 = 13

subtract 15 from both sides

x=-2, or x < -2

2. x + 11 = 2

Subtract 11 from both sides.

x=-9, or x <-9

3. 19 > x + 4

19 = x + 4

Subtract 4.

15 > x, or x < 15

rewrite y=-8x+1 in standard form

Answers

Answer:

8x+y=1

Step-by-step explanation:

Hope this helps!!

A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.

Answers

Step-by-step explanation:

1) 43

2) 61

3) 79

4)97

5)115

Answer:

popoverlover20 is correct I got it right

Step-by-step explanation:

Callie pays for a cat toy with a $10 bill and receives $2.55 in change. The equation 10 - c = 2.55 gives the cost in dollars for the cat toy. Determine whether c=6.45, c=7.45 or c=8.45 is a solution of the equation, and tell what the solution means. The

Answers

Answer:

c = 7.45

Step-by-step explanation:

its easy and im smart that's why i got it

What is the difference of (14m+4) - (7m+1)

Answers

Answer:

7m+3

Step-by-step explanation:

distribute the - to 7m+1

14m+4-7m-1

now add like terms

7m +3

Answer:

The answer is 7m + 5

Step-by-step explanation:

HELPP ASAPPPP

Evaluate the expression 10m - 11
if m=4

Answers

Answer:

is the answer 45444.2453 jd

Step-by-step explanation:

Answer:

10m -11 ( plug in the given value for m)

10 (4) -11 (do multiplication first because of PEMDAS)

40 -11 (subtract)

29 (the answer)

the question is on the sheet.

Answers

D I think hop this helps

Find the distance between the 2 points shown on the number line.
Р
Q
-10
-5
0
5
10
12
13
14
15

Answers

Answer:

It's 12 please give brainliest

Step-by-step explanation:

-6 and 6 make it 12

Answer:

its B. 13

Step-by-step explanation:

I’ll mark you brainlist write in y=mx+b form

Answers

Answer:

y = -1/4x + 3

Step-by-step explanation:

ANSWER

y = -1/4x + 6

Step by step explanation

Equation used: y - y1 = m ( x - x1 )

y - 3 = -1/4 ( x - 12 )

y - 3 = -1/4x + 3 ( distribute )

y - 3 = -1/4x + 3
+ 3. + 3

y = -1/4x + 6

Which of the equations are true identities? \begin{aligned} \text{A. }&(y+6)(y-7)+42=y^2-y \\\\ \text{B. }&(x+3)(x-8)=x^2-5x \end{aligned} A. B. (y+6)(y−7)+42=y 2 −y (x+3)(x−8)=x 2 −5x

Answers

Answer:

Only A, the first equation is true.

Step-by-step explanation:

A. (y + 6)(y – 7) + 42 = y² + 6y –7y – 42 + 42 = y² – y. This means A is true

B. (x + 3)(X – 8) = x² + 3x – 8x – 24 = x² – 5x – 24. This means B is false.

A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls

Answers

$5,520.00 there ya go

PLEASE HELP PLEASE EMERGENCY

Answers

1, 5, 4, 2, 3 in that order

Answer:First one is first step. 2 is Last step. 3 is fourth step. 4 is second step. 5 is Third step

Step-by-step explanation:

I went down the column

No need to show work just answer on 8

Answers

Answer:

x value cannot find cause u shaded it.y=5 and z=12

Other Questions

For question 2 can someone help me Write a essay on endangered animalsA: Inquiring and analysingi. explain and justify the need for a solution to a problemii. state and prioritize the main points of research needed to develop a solution to the problemiii. describe the main features of an existing product that inspires a solution to the problemiv. present the main findings of relevant researchB: Developing ideasi. develop a list of success criteria for the solutionii. present feasible design ideas, which can be correctly interpreted by othersiii. present the chosen designC: Creating the solutioni. outline a plan, which considers the use of resources and time, sufficient for peers to be able to follow to create the solutionii. demonstrate excellent technical skills when making the solutioniii. follow the plan to create the solution, which functions as intendediv. list the changes made to the chosen design and plan when making the solutionD: Evaluatingi. outline simple, relevant testing methods, which generate data, to measure the success of the solutionii. outline the success of the solution against the design specificationiii. outline how the solution could be improvediv. outline the impact of the solution on the client/target audienceI WILL IDMEADIITLY MARK U AS BRAINLIESTTT Given vector u = 1, StartRoot 3 EndRoot and v = 1, 1, how are the vectors related?The vectors form an acute angle of approximately 75.The vectors form an acute angle of approximately 81.The vectors form an obtuse angle of approximately 99.The vectors form an obtuse angle of approximately 105. How did the greeks influence Roman writers.? A store owner offered a 25% discount off the regular price of a pair of shoes. The amount of the discount is $4. What is the regular price of the shoes?A $8B $12C $20D $16 Given the amount of work required to move a box 15 meters across the floor is 75J. What is the force that is needed?a. 5 Nb. 25 Nc. 30 Nd. 2 N Gravity is responsible for which of the following characteristics of a galaxy?The motion of all the objects within itThe size of its largest starsO The heat of itO The color of light it emits If you wanted to highlight the details of a photograph, which would be the best to use?bright colorssubtle colorsprimary colorssecondary colors Which of these games was a racing game?A. CentipedeB. Pole PositionC. XeviousD. GalaxianE. Space Invaders An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. Determine the net force acting on the object and calculate the acceleration of the object. Estimate 5,8602.1 i really need help on it. What would be the BEST closing sentence for the paragraph below? Carlos loves to play at the park. He likes to go down the slide. The swings and monkey bars are also fun. Carlos especially loves to play basketball with his friends. A.The zoo is Carlos' favorite place to be.B.The park is Carlos' favorite place to be. C.The baseball field is Carlos' favorite place to be.D.The circus is Carlos' favorite place to be. Sophia went out to eat dinner, and the meal cost $40.00. If Sophia received a 35% discount, what wastotal value of the discount?$12.60$14.00$15.20$16.80Sub Read the excerpt from "The Turtle.she knowsshe is a part of the pond she lives in,the tall trees are her children,the birds that swim above herare tied to her by an unbreakable string.Which deeper meaning do these lines express? Need help plsssQuestion is below what is the answer to this question some one please help me (7b)+(3b+2) 6. Which form of renewable energy converts sunlight into electricity?hydroelectricsolar powergeothermalbiomass7. What renewable biomass fuel source has been used for thousands of years?cornstrawsugarcanewood8. Which renewable form of energy is found in the Earth's crust?coalpetroleumgeothermalnatural gas9. What effect does the Earth's surface have on solar radiation?Half of the solar radiation is absorbed and converted to infrared (heat).Nearly all solar radiation is reflected back into space by the ground.The ground absorbs half the solar radiation and stores it as infrared radiation for centuries.10. Which greenhouse gas has the greatest effect on climate?nitrous oxidehydrofluorocarbonswater vaporcarbon dioxide If 28 strawberries make 4 smoothies how many smoothies make 70 strawberries CAN SOMEONE HELP ME PLEASE free creditsssssssssssssssssssssssssssss