Determine whether the set of data shown below displays exponential behavior. Write yes or no.
Explain why or why not.

х 21 18 15 12
у 30 23 16 9


pls someone help quick
NO LINKS!!!!

Answers

Answer 1

Answer:

It does not display exponential behavior, so no.

Step-by-step explanation:

x values are consistently decreasing by 3

y values are consistently decreasing by 7

Answer 2

Yes, the set of data shown in the table displays exponential behavior.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The exponential function is given as f(x) = [tex]a^x[/tex]

From the table,

f(x) = [tex]a^x[/tex]

30 = c[tex]a^{21}[/tex] _____(1)

23 = c[tex]a^{18}[/tex] ______(2)

Now,

From (1) and (2)

30/[tex]a^{21}[/tex] = 23/[tex]a^{18}[/tex]

[tex]a^{18 - 21}[/tex] = 23/30

[tex]a^{-3}[/tex] = 23/30

1/[tex]a^3[/tex] = 23/30

a³ = 30/23

a = ∛(30/23)

a = 1.09

Now,

30 = c[tex]a^{21}[/tex]

30 = c x [tex]1.09^{21}[/tex]

c = 30 / 6.11

c = 4.91

Now,

The function from the table is f(x) = 4.91 x [tex]1.09^x[/tex]

Thus,

The set of data is an exponential function.

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Related Questions

Expand 2(x-1)
Expand 3(2x+3)
Expand 7(x+5)
Expand 5(2x-y)

Answers

Those are the answers
2x-2
6x+9
7x+35
10x-5y

yo i need help wit 17 and 18 i’ll give u a brainliest you please

Answers

Answer:

17. See below

18. 750

Step-by-step explanation:

17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.

18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

[tex]y=0.5x+125[/tex]

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:

[tex]500=0.5x+125[/tex]

[tex]500-125=0.5x[/tex]

[tex]375=0.5x[/tex]

[tex]\frac{375}{0.5} =x[/tex]

[tex]375*2=x[/tex]

[tex]750=x[/tex]

Thus, 750 lollipops must be sold.

Please Help Me. I don't understand this question.

Answers

Answer:

i would help but i forgot the formula smh

Answer:

264 sq ft.

Step-by-step explanation:

Find the SURFACE area. Find the areas for all the shapes surfaces, not the volume.

please help need it due now!!!

Answers

Answer:

1) 0.9, 0.99, 0.09, 0.0009

2) 4(2x²+9x)

3) 110

4) $9.50 per pizza

5) 23

Problem #2 Next year, Jay plans to take 24 credit hours of courses. Each
credit hour costs $1,650. Room will cost $9,000 and board will cost
$4,200. How much will Jay pay for tuition, room, and board next year?

Answers

Answer: 52,800 (sorry if it's wrong)

Step-by-step explanation:

1,650x24= 39,600

9,000+4,200= 13,200

39,600 + 13,200 = 52,800

Plz help no links or downloads.

Answers

Answer:

DEF is acute (smaller than 90°...small = “cute” is what I tell my kids)

Triangle is equilateral

equi = equal

Lateral = sides

PLS HELP! What is the area of the trapezoid?

Answers

Answer:

900

Step-by-step explanation:

First, we set up our equation: To find the area of a trapaziod, the equation is Base 1+ Base 2 times Height

So, the equation would be: A=26+46x19

A=72x19

72 times 19= 900

Hope this helps and have a nice day!

HELP The minute hand of a clock is 5 inches long. to the the nearest tenth of an inch, how far does the tip of the minute hand travel as the tie progress from 12:00 to 12:35?
Round answer to nearest whole number.
It travels ____ inches

Answers

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing [tex]\frac{210}{1} *\frac{\pi }{180}[/tex], and we ge that θ is [tex]\frac{7\pi }{6}[/tex] so ([tex]\frac{7\pi }{6}[/tex])(5)= 18.326 inches

How many small cubes are needed to make the large figure shown below

Answers

Answer:

18 cubes

hope it helps and your day will be full of happiness

Answer:

18

Step-by-step explanation:

add 9 both side and 6 four sides equals 42

substract 4 times of 42=

18

A circular plate has circumferrence 30.8 inches. What is the area of this plate ? Use 3.14 for π.

Answers

Answer:

75.39 in^2

Step-by-step explanation:

circumference=2πr

30.8=2(3.14)r

30.8=6.28r

4.9=r

Now that we know the radius, we can plug it in for the area equation

area=πr^2

area=(3.14)(4.9)^2

area=(3.14)(24.01)

area=75.39 in^2

can someone help quick

Answers

Step-by-step explanation:

22+2x+8= x+20

2x+30=x+20

x+30=20

x=-10

answer is -10

Please help if you can.

Answers

Answer:

I’m not sure :/

Step-by-step explanation:

HELPPPP!!! ASAPPPPP!!!

Answers

What are the rest of the options?

a parent function f(x)=4x-5 is transformed to f(x)+3. which statement about the graph of f(x)+3 is true?

a) the graph shifts 3 units up from the parent graph, the x-intercept increases by 3.
b) the graph shifts 3 units up from the parent graph, the y-intercept increases by 3.
c) the graph shifts 3 units down from the parent graph, the x-intercept increases by 3.
d) the graph shifts 3 units down from the parent graph, the y-intercept increases by 3.

Answers

Answer:

B

Step-by-step explanation:

f(x) is just another way of saying y, so this function is really y=4x-5. So if you do y+3 then the y intercept will increase by 3 shifting the graph up 3 units.

At the toy store you could get 7 board games for $40.25. Online the price for 4 board games is $23.04. Which place has the highest price for a board game?

Answers

the seven board games are a better deal. online is more expensive

“Peaches at the Farmer’s Market cost $2.70 per pound.”

is that proportional or non-proportional?

Answers

proportional as the slope is constant

Rewrite as a simplified fraction.
0.8_= ?

Answers

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

The answer would be: 8/9

:)

PLEASEEEEE HELPPPPP MEEEEEE ASAAPPPPPPP!!!!!!!!!!!!!!!

Answers

Answer:

The sale for the line plot should be from 0 to 1 with tick marks at every 1/10

Step-by-step explanation:

Hope it helps :)

HELP PLZ

Tori went scuba diving to a depth of 20 feet below sea level. After she got out of the ocean, she sat on a hill 7 feet above sea level to rest.

Which inequality compares Tori's locations?

O A -7 > 20
OB. -7 < 20
C. -20 > 7
D. -20 < 7

Answers

Answer:

D.

Step-by-step explanation:

Lol please help
_________________________________________________________________
Write and solve an equation to find the missing dimension of the prism.

Volume = 1620 cm3

Answers

Answer:

[tex]V=bh_{2}[/tex]

PLEASE HELP ASAP 40 PTS
6.
What are the values of x and y?

Answers

Answer:

The value of x = 36°, while the value of y = 72°.

Step-by-step explanation:

All of these angles add up to 360°.

Opposite angles are always equivalent, so the angle opposing x would be 36°, which means x = 36°.

360 - 2(36) = 288

288/4= 72

To check:

(72 * 4) + 2(36) = 360

Identify the distance between points (−3,−6,7) and (−9,5,−4), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.

Answers

Step-by-step explanation:

LET THE Point 1 A and point 2 is B

(AB) ^2=(-9-(-3))^2+ (5-(-6))^2+(-4-7)^2=278

AB=16.67 length unit

Midpoint

X=-9-3/2 =-6

Y=5-6/2=-0.5

Z=-4+7/2=-1.5

The distance between points (−3,−6,7) and (−9,5,−4) is 16.6 units, and midpoints are (-6, -0.5, -1.5).

What is the distance between two points?

Distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) is determined by the following as D² = (x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²

The midpoint of the line joining  (x₁, y₁, z₁) and (x₂, y₂, z₂)  is given by :

{(x₂+x₁)/2 , (y₂+y₁)/2 , (z₂+z₁)/2}

To determine the distance between points (−3,−6,7) and (−9,5,−4)

Let mid points X, Y, and Z

The given points :  (−3,−6,7) and (−9,5,−4)

Distance between points  (−3,−6,7) and (−9,5,−4) :

D² = (x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²

D² =(-9-(-3))²+ (5-(-6))²+(-4-7)² = 278

D = √278

D = 16.6 units

The midpoint of the line joining (−3,−6,7) and (−9,5,−4) :

X = (-9-3)/2 = -6

Y =(5-6)/2 = -0.5

Z =(-4+7)/2 = -1.5

Hence, the distance between points (−3,−6,7) and (−9,5,−4) is 16.6 units, and midpoints are (-6, -0.5, -1.5).

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OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME I ALREADY DID THE TOP AND THE F. BTW SO NO NEED JUST PLS HELP IN THE OTHER QUESTIONS IN BOTTOM :(.. /C. D. AND E. PLS HELP :( /

Answers

Answer:

C. In 1/2, two times numerator (2*1=2) is equal to denominator (2)

D. In 2/5, two times numerator (2*2=4) is smaller then denominator (2)

C. In 3/4, two times numerator (2*3=6) is greater than denominator (4)

I'm not sure I fully understand your answers to B and F though.

Outcome A B C D Probability 0.5 0.3 ? ? What is the probability of the outcome (not A)? a. 0.3 c. 0.8 b. 0.5 d. 0.15

Answers

Answer:

0.5

Step-by-step explanation:

the sum of the probabilities of the outcome should equal 1

Probability the outcome is not A = sum of probabilities of the outcome - probability the outcome is A

1 - 0.5 = 0.5

Answer:

B

Step-by-step explanation:

Which set of lengths could not form a triangle?
O {5, 7, 10}
O {2,4,5)
O {8, 12, 5)
O {15, 7, 6)

Answers

Answer:

1.{8,12,5

Step-by-step explanation:

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The radius of a circle is 8.5 inches. The circumference of the circle is C inches. A.85/c, B.C/17, C.C.8.5, D.17/c

Answers

The question does not state what we are required to do. However, the expression for the Circumference C, is provide below using the parameters given :

Answer:

Step-by-step explanation:

Given that :

Radius, r = 8.5 inches

Circumference, C = C inches

Circumference = 2 * pi * r

C = 2 * pi * 8.5

C = 17pi


i give brenliest


The Pythagorean Theorem for a right triangle is a2 + b2 = c2, where
a and b are the legs of the triangle and c is its hypotenuse. The shorter
leg is 10 inches less than the other leg, and the hypotenuse is 10 inches
longer than that other leg. What is the length of the hypotenuse?
b) 40 inches
a) 30 inches
c) 50 inches
d) 60 inches

Answers

Answer:

C) 50

Step-by-step explanation:

One leg is 30, the other is 40, and the hypotenuse is 50

Please brainliest!

What is the expanded expression form that is equivalent to 3(x + 3y)?

Answers

What is the expanded expression form that is equivalent to 3(x+3y) ?

It is = 3x+9y

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]3(x + 3y) \\ = 3x + 9y[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Write a recursive formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 16, -8, 4, ...16,−8,4,....

Answers

Answer:

aₙ = -2aₙ₊₁

Step-by-step explanation:

According to the sequence given 16, -8, 4, ...

a1 = 16

a2 = -8

a3 = 4

From the values, we can conclude thst;

a1 = -2(-8)

Since a2 = -8, then;

a1 = -2(a2)

Similarly

a2 = -2(4)

a2 = -2a3

The subsequent sequence are;

a3 = -2a4

The nth term will ne;

aₙ = -2aₙ₊₁

Hence the required recursive function is aₙ = -2aₙ₊₁

The recursive formula for the given sequence is

[tex]a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]

Given :

The terms of the sequence are  16, -8, 4, ...

Lets find the difference between the terms

[tex]-8-16=-24\\4-(-8)=12[/tex]

There is no common difference. So this is not an arithmetic sequence

Now we check common ratio'

[tex]\frac{-8}{16} =-\frac{1}{2} \\\frac{4}{-8} =-\frac{1}{2} \\[/tex]

The common ratio is -1/2

Now we write recursive formula

[tex]a_{n}=r(a_{n-1})[/tex]

Where 'r' is the common ratio

[tex]a_{n}=r(a_{n-1})\\a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]

The recursive formula is

[tex]a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]

Learn more :  brainly.com/question/24231459

Help please! Will give brainiest if correct!
Find the slope of the line. Write your answer in simplest form.

Answers

For this one it’s 3/4. (Positive since it’s going up and you can’t simplify it anymore).

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