Find the formula for an exponential function that passes through the two points given.
(0,7) and (4,567)

Answers

Answer 1

Answer:

[tex]y = 7(3^x)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,7)[/tex]

[tex](x_2,y_2) = (4,567)[/tex]

Required

Determine the formula

An exponential function is of the form:

[tex]y = ab^x[/tex]

For point [tex](x_1,y_1) = (0,7)[/tex]

[tex]7 = ab^0[/tex]

[tex]7 = a*1[/tex]

[tex]7 = a[/tex]

[tex]a = 7[/tex]

For point [tex](x_2,y_2) = (4,567)[/tex]

[tex]567 = ab^4[/tex]

Substitute 7 for a

[tex]567 = 7*b^4[/tex]

Divide both sides by 7

[tex]81 = b^4[/tex]

Take 4th root of both sides

[tex]\sqrt[4]{81} =\sqrt[4]{b^4}[/tex]

[tex]\sqrt[4]{81} =b[/tex]

[tex]b = \sqrt[4]{81}[/tex]

[tex]b = 3[/tex]

Substitute 7 for a and 3 for b in [tex]y = ab^x[/tex]

[tex]y = 7 * 3^x[/tex]

[tex]y = 7(3^x)[/tex]


Related Questions

5 - -10 also I need a example thank u everyone for your help

Answers

15

Step-by-step explanation:

A negative number being subtracted makes it positive

5 - -10

5+10 =15

I just need the 4th not the 3rd please help I will give you BRAINLIEST!!!!​

Answers

Answer:

See attached

Step-by-step explanation:

The answer is in the picture below

help pls ill give extra points​

Answers

Answer:

I can’t see the pic

Step-by-step explanation:

True or false , help please lol

Answers

False

I think its false

A mechanic charges $55 an hour for an oil change and spends $45 a day on supplies. Which expression represents the amount the mechanic earns in one day?

Answers

Answer:

55x-45=y

Step-by-step explanation:

in terms of algeabra 55 dollars per hour x amount of hours 45 spent so subtract 45; y is the amount per day. The variables can be swapped

|-4| ___ -7

a. <
b. >
c. =​

Answers

Answer:

b

Step-by-step explanation:

Please help me answer 5 and 6 I will mark you brainlst :)

Answers

Answer:

5. x=50 y= 150 z=30

6. x=3

Step-by-step explanation:

You are running a fuel economy study. One of your cars you find is blue. It can travel 33 1/2 miles on 1 1/4 gallons of gasoline

Answers

If the when is well i don’t

Which graph represents the function y = sine (one-half x) after a shift of 3 units down?

Answers

The graph shows the  function y=sin(1/2x) after a shift of 3 units down .

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We have to find the graph which represents the function y = sine (1/2x) after a shift of 3 units down

The sine function starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.

According to the question

y=sin(1/2x) after a shift of 3 units down

y+3=sinx/2

Now.

x         y

0        -3

π         -2

-π        -4

Graph will be plotted on these points

Hence, the graph shows the  function y=sin(1/2x) after a shift of 3 units down .

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer:

Graph A

Step-by-step explanation:

Edeg 2023

1. George joins a gym. He pays $25 to sign up and then $15 per month.

How much will George have to pay if he uses the gym for 5 months? Show your work.​

Answers

Answer:

100 dollars

Step-by-step explanation:

First you multiply how much it is each month by how many months.

5x15=75

Then you add the money he has to pay to sign up. So,

75+25=100

Answer:

I believe the answer would be $100

Step-by-step explanation:

1. He already payed the $25 so he doesn't need to pay that anymore

2. If he's paying $15 a month you would have to multiply 15 by 5 because he went for 5 months

3. for the five months he payed $75, so after that you would have to add the additional $25 to the $75 get the answer of $100

(a + 3b)x + (a + 3b)y

Answers

Step-by-step explanation:

(a+ 3b ) ( X + y )

........

jack popped some popcorn, but 3 of the 150 kernels did not pop

Answers

That sucks for jack. But uhm what is your question. Also Jack can just put the popcorn in for a longer amount of time

Let v =LeftAngleBracket negative 10, 15 RightAngleBracket. What is the approximate direction angle of One-halfv? 34° 56° 124° 304°

Answers

Answer:

C. 124

Step-by-step explanation:

The approximate direction angle of One-half of v will be 304°. Then the correct option is D.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

The equation of vector is given below.

v = < –10, 15 >

Then the approximate direction angle of One-half of v will be

v/2 = < –5, 7.5 >

Then the angle will be

tan θ = 7.5/(–5)

tan θ = –1.5

θ = tan⁻¹(–1.5)

θ = –56°

θ = –56° + 360°

θ = 304°

Then the correct option is D.

More about the vector link is given below.

https://brainly.com/question/13188123

#SPJ5

A theater can seat 408 people. The number of rows is 7 less than the number of seats in each row. How many rows of seats are there?

Answers

7 rows thanks have an amazing day!!

Answer: 17

Step-by-step explanation:

x(x+7)=408

x(x+24)-17(x+24)=0

(x+24)(x-17)=0

x+24=0

x-17=0

x=-24

x=17

9 + 3x2 + 5 - 4 = N​

Answers

N+9+3x2+5-4. I think that the anwser

Help Please). Which graph represents the function f(x)= -3^x - 2. Brainliest Answer ​

Answers

The graph that represents the function f(x) = -3x^2 -2 is the top left graph.

I hope it helps you

A B C D

Which one is it

Answers

Answer: C i believe

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

2 + 2 = ?
I'm so confused, HELP!!!
fun fact: ΜΟΜ in Greek means LOL apparently

Answers

Answer:

4

Step-by-step explanation:

Answer:

22 dude everybody knows that cmon....

Step-by-step explanation:

If 2^2x=2^3, what is the value of x?

2/3
3/2
2
3

edit: answer is 3/2

Answers

Answer:

3/2╮(. ❛ ᴗ ❛.)╭╮(╯_╰)╭¯\_(⊙_ʖ⊙)_/¯╮(╯_╰)╭乁( •_• )ㄏ乁( •_• )ㄏ╮(╯_╰)╭┐( ˘_˘)┌乁( •_• )ㄏ乁( •_• )ㄏ

Step-by-step explanation:

a

-10x+2y=-4
Solve for the slope

Answers

Answer:

y=5x-2

Step-by-step explanation:

divide to get y by itself

-5x+y=-2

move the x to the other side by adding it to both sides

y=5x-2

I NEED HELP WITH THIS ASAP!

Answers

I think it’s the 1st one because it’s close too what it is when I work it out






Need the truth value of If you visited Dallas, then you've been to Texas.

Answers

Answer:

Yea, how would you get to Dallas with-out being in texas!? lol

Step-by-step explanation:

Answer:

I mean yeah, Dallas is in Texas if that's what you mean.

Step-by-step explanation:

if a car is 160 inches long and a truck is 7% longer, how long is the truck?

Answers

Answer:

160.07

Step-by-step explanation:

The vertex of this parabola is at (3,-2). When the x-value is 4, the y value is 3. What is the coefficient of the squared term in the parabola's equation?

Answers

Answer:

the coefficient of the squared expression is 5.

Step-by-step explanation:

the equation of a parabola in its vertex form is y=a(x-h)²+k, where (h, k) is the vertex of the parabola.

in this case, h=3, k=-2, so y=a(x-3)-2

plug (4,3) in the equation: 3=a(4-3)²-2, a=5

4×+3+(-3×)+7×-6×
I've been trying to figure ut out but I cant

Answers

kAnswer: There is a mistake into this i think

Step-by-step explanation:

Answer:

-38

Step-by-step explanation:

Andrea had 4 multi-packs of chips. After giving
5 bags of chips to 4 friends, she had 12 packs
left. The diagram below represents the
situation. How many bags of chips were
originally in each multi-pack?

Answers

Answer:

i need the diagram

Step-by-step explanation:

You need to show the diagram

$8,200 is invested in an account earning 5% interest (APR), compounded quarterly.
Write a function showing the value of the account after t years, where the annual
growth rate can be found from a constant in the function. Round all coefficients in
the function to four decimal places. Also, determine the percentage of growth per
year (APY), to the nearest hundredth of a percent.

Answers

so comounded monthly
y = 8200(1+(0.046/12))^0.046t

how to find a slope​

Answers

Answer:

below

Step-by-step explanation:

rise÷run

or

dalta y ÷ dalta x (from table ofvalues)


In a sprint to the finish, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 10 seconds?
They would travel type your answer
meters

Answers

Answer: 190m

Step-by-step explanation: 380 divided by 2=190 if I’m wrong I’m dumb pls tell me I’m not wrong this is my first time.

need help with this....................

Answers

Answer:

Step-by-step explanation:

y-intercept: 4

type of slope: negative

slope: y= -3x+4

im kinda iffy ab the slope tho :p

Other Questions
Can somebody help me with my Abiotic vs. Biotic Knowledge Check? Please help me I will give you the brain thing and extra points. image below for graph.The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened. The equation represents the linear model for this data.y = 5x + 120What does the number 5 in the equation mean in this context?The restaurant has been open for 5 months.A.The average number of customers per night increased by 5 each month.B.There were 5 customers per night when the restaurant opened.C.For every 5 months the restaurant has been open, there are 120 more customers per night.D.There were 5 customers per month after the restaurant was open 120 months. after the revolution,what form of government did the Americans adopt? under this new government, what group of people held sole power to rule? What's my fav song by Ariana Grande? What is it called when a president is fired from their job? How does the transmission of protons relate to electric force? "Two less than the total of a number and five" Which of the following is not a primary source?A cultural artifactB. textbookC. public recordsD. correspondenceO A OD 1. Which part of the angle is the vertex? A. Point CB. Point ABC. AB Javier is considering two options for college. Option A: Complete the first two years of schooling at a community college and then transfer to a university. Option B: Complete all four years of schooling at the university. Community College Financial Analysis Costs per Year Financial Aid Package per Year Tuition & Fees Scholarships & Grants $3,000 $1,000 Room & Board $1,000 University Financial Analysis Costs per Year Financial Aid Package per Year Tuition & Fees Scholarships & Grants $10,000 $15,000 Room & Board Work-Study $11,500 $4,000 Which statement about the cost of the options is true? Option B will save him $1,000. Option B will save him $2,000. Option A will save him $14,000. Option A will save him $17,500. I NEED HELP ASAP!!!THANKS Please help ASAP Ill mark brainliest!!! Who ever answers first :) The __ Acts which did things like close Boston Harbor was considered to many to be "the last straw" can someone help me with science plz. Make a prediction: What do you think the petri dish will look like on Day 5? multiple choicethis major site of protein synthesis has ribosomes attached to it and protects proteins within its folds from being exposed to the cells internal environment. a. rough endoplasmic reticulumb. smooth endoplasmic reticulumc. golgi apparatus Find the density of an object with the mass of 14 g and volume of 2cm^3. O 28 g/cm O 7 g/cm O 1/2 g/cm 0 / 56 g/cm Central to ancient Egyptian religious beliefs was the idea ofA. karmaB. the afterlifeC. reincarnationD. nirvana Figure ABCDE was reflected across the line y = x tocreate figure A'B'C'DE! What are the coordinates of thepre-image of E'?8ElBIC'DX18AE48IntroDone Help me out really fast please help pleaseeee 5/7 - 4/3 WILL MARK BRAINLIEST + 13 POINTS