Find the equation of the exponential function represented by the table below:
x y
0 5
1 15
2 45
3 135

y=

Answers

Answer 1

Answer:

y=5·3x

Step-by-step explanation:

x=0, y=5:

5=a·b↑0 a=5

x=1, y=15:

15=5·b↑1

b=15/5=3

Answer 2

The equation of the exponential function is y = 5(3)ˣ

What is an exponential function?

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

x: 0, 1, 2, 3

y: 5, 15, 45, 135

We have to find the exponential equation:

The exponential function in the form:

y = a × b ˣ

y value of x as 0 is 5.

This is the a value in the equation.

The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.

Therefore, the equation will become:

y = 5 × 3 ˣ

Hence the equation of the exponential function is y = 5(3)ˣ

Learn more about exponential function here:

brainly.com/question/26489523

#SPJ2


Related Questions

The first recorded Olympic game began in 776 called the Asian Olympics games were held every four hours until being abolished by the Roman emperor Theodosius in 393 determine the length of time between the start of the ancient Olympics and the modern Olympics which began in 1896

Answers

Answer:

1503 years

Step-by-step explanation:

Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.

write 90 cm as percentage of a metre??​

Answers

Answer: 90%

Step-by-step explanation:

90 cm is 0.9 m

and 0.9 m is 90% of 1 m

90% is your answer sorry if wrong

A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?

A r-3/5
B r x 3/5
C r+3/5
D ÷3/5

PLEASE HELP ITS STUDY ISLAND

Answers

Answer:

c r/ 3/5

Step-by-step explanation:

i think

can someone heelp me plz

Answers

Answer:

1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.

Step-by-step explanation:

For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.

Need help please
Will give Brainliest

Answers

Answer:

Step-by-step explanation:

1) Inequality Form: a < 2.9 Interval Notation: ( 2.9 )

2) graph

same as 3, 4, 5

6) Inequality Form: 2 < y < 5 Interval Notation: ( 2 , 5 )

7)

a) 110+92=202+x=c

b) 110+92=202

202+98=300


The graphs show information about the different journeys of 4 people.

a)
Which graph shows a person running then walking?
b)
Which graph shows a person who forgot something
and had to return home?

Answers

Answer:

A) b

B) c

Step-by-step explanation:

A) a large distance is covered in a short period of time but then the speed decreases

B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again

If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)

Answers

[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]

19 /5 as a mixed number

Answers

Answer:

[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]

Step-by-step explanation:

5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.

PLEASE HELP! Economics

Answers

Answer:

C is the answer.

Step-by-step explanation:

the US capital account was in surplus and Japanese current account

Please help me find my gpa I don’t know how

I have a C, A, B the rest are f

Answers

Answer:

Your GPA would be 1.5 If you have 6 periods.

Step-by-step explanation:

A = 4 GPA Points

B = 3 GPA points

C = 2 GPA Points

D = 1 GPA Points

F = 0 GPA Points

With that knowledge you calculate 2 (C) + 4 (A) + 3 (B) + 0 (F) + 0 (F)  + 0 (F) assuming you have 6 periods which adds up to 9. You divide  by the number of periods (6) totaling to 1.5 GPA Points.

If right you get brainiest!
A little mermaid can swim 12 miles downstream in the same amount
of time she can swim 8 miles upstream. What is the little mermaid's
speed in still water if the speed of the current is 4 mph?

Answers

Answer:

20 mph

Step-by-step explanation:

time = distance / speed

speed up stream = s - 4

speed down stream = s + 4

time up = time down

8 / (s - 4) = 12 / (s + 4)

cross multiply

8s + 32 = 12s - 48

subtract 8v from both sides

32 = 4s - 48

add 48 to both sides

80 = 4s

Divide both sides by 4

20 = s

20mph

Help me with this answer please​

Answers

Answer:

£6.25

Step-by-step explanation:

2.25 x 15 = 33.75

40 - 33.75 = 6.25

Answer:

£6.25

Step-by-step explanation:

Hii,

So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75

To get change, you need to take away the amount you are giving by how much the bill is.

£40 - £33.75 = £6.25

I hope this helped :P

What is the equation in slope-intercept form of the line that passes through the points (-4, 6) and (-2,5) ?
y=20 - 8
y=-30+4
y=-22 +4
y = -x + 8

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-4)}}}\implies \cfrac{-1}{-2+4}\implies \cfrac{-1}{2}\implies -\cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-\cfrac{1}{2}}[x-\stackrel{x_1}{(-4)}] \\\\\\ y-6=-\cfrac{1}{2}(x+4)\implies y-6=-\cfrac{1}{2}x-2\implies \underset{\textit{slope-intercept form}}{y=-\cfrac{1}{2}x+4}[/tex]

The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?

Answers

Answer: 27.5% decrease in the staff

Step-by-step explanation:

Which of the following is equivalent to the expression 2/5 divided by 4 ?


A


5/2×4



B
2/5



C
2/5×1/4



D
2/5÷1/4

Answers

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

HELPPP LAST ATTEMPT!!

Answers

Answer:

B' (-1,-5)

Step-by-step explanation:

When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.

(-1,5)

since it’s being translated over the y axis the only coordinate that’s changing would be the x coordinate. when it’s translated over it would be the opposite to the original point. (positive original point would become a negative point after translated)
hope this helps!

Can someone answer this for me?

Thanks!

Answers

Hiii :))

Answer is in the attachment.

Identity used :-

1) cosec² α = 1 + cot² α

Trigonometric Ratio :-

1) cot 30° = √3

_____

Reddam is an expensive school, right?

RainbowSalt2222 ☔

Answer:

hello :-D

Step-by-step explanation:

The ratio of ronnys tern, dougs rent and ronalds rent is 4:5:8. Their total rent if $3723. What is the cost of each persons rent

Answers

Answer:

The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.

Step-by-step explanation:

Firstly, make all ratios into units:

Let Ronny = 4 units, Doug = 5 units,

Ronald = 8 units, Total = $3723

4 units + 5 units + 8 units = 17 units

17 units = $3723

1 unit = $3723 ÷ 17

1 unit = $219

Given that 1 unit is equals to $219. Let find the amounts:

Ronny = 4 × 219 = $876

Doug = 5 × 219 = $1095

Ronald = 8 × 219 = $1752

What is 10 plus 5 to the 3 power minus 1? Order of operation

Answers

3374 is the answer.


Hope this helped!! :)

Step-by-step explanation:

(10+5)³-1 = 3375-1 = 3374.

In which quadrant does the angle t lie if tan(t)>0 and cos(t)<0?

A) II
B) IV
C) Cannot be determined
D) III
E) I

Answers

Quadrant is a quarter of a coordinate plane

The location of angle t is in quadrant 3

The trigonometry equations are given as:

tan(t)>0 and cos(t)<0

The cosine of an angle is negative in the following quadrants

Quadrant 2Quadrant 3

The cosine of an angle is positive in the following quadrants

Quadrant 3

The intersection of the above points is quadrant 3

This means that the angle is in quadrant 3

Hence, the true option is (D) III

Read more about quadrants at:

https://brainly.com/question/14450464

How many equal parts are there in this image

Answers

Answer:

6

It's kind of blury, so I can't really see it.

Answer:

4

Step-by-step explanation:

Find the point on the line y=x that is closest to the point (-4,8)

Answers

Answer:

(2,2)

Step-by-step explanation:

Answer this question fast pls

Answers

Answer:

Lemons ( 27 ) = Cups ( 9 )

Cups ( 50) = Lemons (30)

What is the missing length?

Answers

The missing length is 51.5, I hope this helps :)

Answer:

Length=12mi

Step-by-step explanation:

Area=123.6mi^3

Width=10.3mi

Length=u

Formula: Area=LxW

Area÷W=u

123.6÷10.3=12

Length=12mi

Hope this helps :)

Which set of side lengths will form a triangle
A: 16ft, 4ft, 21ft
B: 30ft, 30ft, 60ft
C: 12ft, 12ft, 20ft
D: 3ft, 5ft, 10ft
PLS HELP

Answers

Answer:

the set of side lengths will be d

Write a function in any form that would match the graph shown below

Answers

Answers:

Vertex form:  y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6

Pick whichever form you prefer.

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

Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

y = a(x-h)^2 + k

0 = a(-1-1)^2+8

0 = a(-2)^2+8

0 = 4a+8

4a+8 = 0

4a = -8

a = -8/4

a = -2

The vertex form of this parabola is   y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

y = -2(x^2-2x+1)+8

y = -2x^2+4x-2+8

y = -2x^2+4x+6 .... equation in standard form

Find the argument of the complex number 2 = 4+ 3i to the nearest whole degree.​

Answers

Using it's formula, it is found that the argument of the complex number z = 4+ 3i is of 37º.

The standard format of a complex number is:

[tex]z = a + bi[/tex]

In which:

a is the real part.b is the imaginary part.

The argument is given by:

[tex]\theta = \tan^{-1}\left(\frac{b}{a}\right)[/tex]

In this problem, the number is:

[tex]z = 4 + 3i[/tex]

Hence, [tex]a = 4, b = 3[/tex], and:

[tex]\theta = \tan^{-1}\left(\frac{3}{4}\right) = 37[/tex]

For more on the argument of a complex number, you can take a look at https://brainly.com/question/4569130

Hi. can you help me?

Answers

Answer:

Sure

Step-by-step explanation:

First you need to ____

Next you need to ____

Last, put nothing

That's what you did, so I helped you out.

Is dis good

i- I think you forgot to put the picture.

The ratio of the number of cupcakes to the number of pastries in a box is 7:2. Which table shows the possible amounts of cupcakes and pastries in a box, given the ratio? (2 points)

Question 1 options:

1)

Cupcakes Pastries
7 2
21 6
42 8
84 10

2)

Cupcakes Pastries
7 2
21 6
28 12
35 24

3)

Cupcakes Pastries
7 2
21 17
42 38
84 80

4)

Cupcakes Pastries
7 2
14 4
28 8
56 16

Answers

Answer:

I wish I could help but I don't know

Answer:

D is correct

Step-by-step explanation:

Interest and fees
the total cost of a credit purchase.
A. maintain
O B. decrease
C. do not affect
D. increase

Answers

Answer:

D. increase

Step-by-step explanation

Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.

Answer:

B

Step-by-step explanation:

Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!

Other Questions
elect all the correct answers.A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.Which statements about this study are true?This study uses blinding.This study uses blocking.This study uses a control group.This study uses a repeated measures design.This study uses random sampling. Chose the correct sentence with the Complex Object.A) Jane suggested that I should buy a car.B) Did you hear what I said?C) What do you advise me doing?D) Glasses make him look older.E) I'd like to go to Iceland. HURRY for a BRAINLIST Which of the following is a way to increase pressure on a gas? who is most likely to be diagnosed with a phobic disorder? Why are professional associations interested in keeping professional standards high?A few dishonest professionals can hurt the entire profession.B. They can charge more for higher standards.C. Professional associations get paid based on customer reviews.D. Professional associations are forced by law to keep standards high. A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station. goodmorning!!!!! have a happy friday! remember you are worth it! keep going and dont give up! The Importance of Being Earnestby Oscar Wilde (excerpt)ALGERNON: The truth is rarely pure and never simple. Modern life would be very tedious if it were either, and modern literature a completeimpossibility!JACK: That wouldn't be at all a bad thing.ALGERNON: Literary criticism is not your forte, my dear fellow. Don't try it. You should leave that to people who haven't been at a University. They doit so well in the daily papers. What you really are is a Bunburyist. I was quite right in saying you were a Bunburyist. You are one of the most advancedBunburyists I know.JACK: What on earth do you mean?ALGERNON: You have invented a very useful younger brother called Ernest, in order that you may be able to come up to town as often as you like. Ihave invented an invaluable permanent invalid called Bunbury, in order that I may be able to go down into the country whenever I choose. Bunburyis perfectly invaluable. If it wasn't for Bunbury's extraordinary bad health, for instance, I wouldn't be able to dine with you at Willis's to-night, forhave been really engaged to Aunt Augusta for more than a week.Select the correct answer.Based on the context of the passage, what is a Bunburyist?OA.someone who creates an imaginary personOB. a guardian who neglects his responsibilitiesOC.a person whose health changes with their locationODa friend with whom you can share secrets A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph. how do you tell between a linear and non-linear function? a water skier has a mass of 80 kg and accelerates at 2 m/s2. What is the net force(F) acting on him? solve the equation.[tex]\sqrt{x(x+2)} = 0[/tex] The structure of Disodium edta a. What is the probability that this couple spends 45 dollars or more?b. Suppose that the restaurant is currently running a promotion with a 10% discount if the total amount spent by a table is 45 dollars or more. What is expected total amount the couple actually has to pay? A large instrument ensemble typical of classical music , which combines instrument from strings , winds and percussion Gil describes his son as calm and cautious. He describes his daughter as cheerful and energetic. Gil's descriptions refer to his children's ________. The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 7 fl oz per minute. How fast was the pipe leaking in gallons per hour? PLLLLLLLLLLLLZZZZZZZZZZZ Place the following events in sequence: a) osman i assumes power; b) the fall of constantinople; c) the rise of mustafa kemal ataturk d) world war i. Neptunes rings were most likely formed by: Collisions between moonsStatic between moonsExcess debrisNone of these is correct