Construct the exponential function that contains the points (0,3) and (2,75).

Answers

Answer 1

Answer: 3(5)^x

Step-by-step explanation:

that was the correct answer

Answer 2

The required exponential function is given as y = 3[5]ˣ.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Let
y = abˣ
Substitute the pairs and form two equations,
3 = a   - - - - - - - (1)
75 = ab²   - - - - - (2)

Dividing equation 2 by 1
25 = b²
b = 5
Now,
y = 3{5}ˣ

Thus, the required exponential function is given as y = 3[5]ˣ.

learn more about exponential function here:

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Related Questions

A piece of iron has a volume of 15cm^3 and a mass 27g.calculate the density of iron in kg/m^3​

Answers

Answer:

density = mass/volume  or mass = density * volume, so 7.86 * 15 = 117.9 grams

Step-by-step explanation:

4 Jarome needs to have at least $150 to open his own checking account. He has already saved $30 and plans to earn more money by mowing six lawns this week. Use a piece of paper to write and solve an inequality to determine the minimum amount of money Jarome needs to charge for each lawn he mows this week so he can open his own checking account at the end of the week. Jarome needs to charge at least $___ for each lawn he mows this week.​

Answers

Answer:

how much does he get from each house

Step-by-step explanation:

Consider the series ​

[infinity]
∑ (-1)^n (x+1)^n/ (n+1)!
n=0

a. Find the​ series' radius and interval of convergence. ​
b. For what values of x does the series converge​ absolutely?
c. For what values of x does the series converge​ coditionally?

Answers

(a) If

[tex]f(x)=\displaystyle \sum_{n=0}^\infty (-1)^n \frac{(x+1)^n}{(n+1)!}[/tex]

then by the ratio test, the series converges for all x, since

[tex]\displaystyle \lim_{n\to\infty} \left| \frac{ (-1)^{n+1} \frac{(x+1)^{n+1}}{(n+2)!} }{ (-1)^n \frac{(x+1)^n}{(n+1)!} } \right|=\lim_{n\to\infty}\frac{|x+1|}{n+2}=0[/tex]

so the series radius of convergence is and the interval of convergence is (-∞, ∞).

(b) The series converges everywhere absolutely, because the ratio test for

[tex]\displaystyle \sum_{n=0}^\infty \frac{|x+1|^n}{(n+1)!}[/tex]

also shows the radius of convergence is ∞.

(c) The series converges absolutely, so conditional convergence is moot.

Describe a situation where it would be beneficial to round decimals to the nearest dollar explain why you would use rounding in that situation

Answers

Answer:

3units/ 5 feet = 60 units/ 100 feet3 units/ 5 feet = 18 units/ 30 feetthe dimensions of the scale drawing are 60 units by 18 units

Step-by-step explanation:

You can buy a box of 150 Sharpie pens for $165 or a dozen for $13.50. Which one is the better deal?

Answers

Answer: do the a dozen for $13.50
Step-by-step explanation: It will help save money
The box of 150 is a better deal.

Aaron is growing two tomato plants. At the last measurement, the first plant was 6.53 inches tall and the second was 2.7 inches tall.

How much taller was the larger plant?
3.83 inches

Answers

Answer:

3.83

Step-by-step explanation:

Louis and Max are contestants in a jellybean-eating contest. Louis eats 18 jellybeans
in 30 seconds. Max eats 24 jellybeans in 40 seconds.

Answers

Answer: They ate at the same pace.

Step-by-step explanation: assuming you want to know who ate more faster you can do 18 / 30 and 24 / 4 to find out who ate more in 10 seconds each.

18 / 3 = 6 and 24 / 4 = 6. So they ate at the same speed / pace.

Hope this helps! Brainliest and / or a rating out of 5 stars would be appreciated :)

3 n - 5 p + 2 n = 10 p for n

Answers

Answer:

n = 3p

Step-by-step explanation:

3n + 2n - 5p = 10p

5n - 5p = 10p

5n = 15p

n = 3p

Answer:

1n = 5p

Step-by-step explanation:

W 3 Aisha has $100 saved from her job. She wants to buy as many charms for her bracelet, at $4 each and earrings at $5 per set, as she can without spending all of her money. The inequality represents her spending, where x is the number of charms and y is the number of sets of earrings. 4x + 5y < 100​

Answers

Simplifying 4x + 5y < 100 Solving 4x + 5 < 100. Solving for variable 'x' move all terms containing x to the left, all other terms to the right.

Hope i helped (❁´◡`❁)

Brainliest?

PLS ANSWER FAST

solve for the unknown...
3^x = 9^x+5

Answers

I think it’s -1 x
3 minus the nine equals -6x and -6x divides by 5 equals -1

what is the square root of mc squared? I REALLLY NEED HELP!!!!!​

Answers

Answer:

c = √(E/m) or (E/m)½

According to my college physics professor, E=mc2 is an over-simplification of the mathematical formula. The way E=mc2 has been taught in the grammar schools drove him crazy.

i'm just kidding i didn't really look it up on the internet

yep i already know i'm wrong

Which of the following sets of ordered pairs (x,y) is NOT a function of x?

A.
{(0,1),(1,0),(1,1)}


B.
{(0,0),(1,1),(2,2)}


C.
{(0,0),(1,1),(2,1)}


D.
{(0,1),(1,1),(2,1)}

Answers

Answer:

The answer is A.

Step-by-step explanation:

hope this helps

PLEASE HELP! WILL GIVE BRAINLIEST!
Write a function and its parents function then describe the transformation.

f(x)=2x-3; vertical shrink by a factor of 1/3.
;)

Answers

Answer:

Graph the function and its parent function. Then describe the transformation. 7.9(x) = x + 4. 8. f(x) = x - 6. 4. 8 x. -4. 48 x ... Write a function g whose graph represents the indicated transformation of the graph of f. ... 96)= 14x+31+2 -2 = 14x+3| ... 33. f(x) = x; translation 3 units down followed by a vertical shrink by a factor of.

Step-by-step explanation:

Hope this helps!

PLS HELP IF YOU WANT
Chelsea takes the bus to school, but she walks home. The bus travels to the school at an average speed of 45 miles per hour. While going home from school, Chelsea walks at a speed of 2.5 miles per hour.
In total, she takes 1 hour to travel to school and back. If t is the time it takes to go to school by bus, the equation that will help find the time it takes Chelsea to get to school on the bus is ANSWER1
. The equation will have ANSWER2
PLS ANSWER ANSWER 1 AND 2

Answers

Answer:45 * t = 2.5 * (1-t)...the equation will have one solution.

Step-by-step explanation:

For this case, the first thing you should know is:

d: v * t

Where,

d: distance

v: speed

t: time

To go to school by bus we have:

d = 45 * t

To return from school we have:

d = 2.5 * (1-t)

how the distance is the same:45 * t = 2.5 * (1-t)

2 Question help
5
A robot can complete 7 tasks in hour. Each task takes the same amount of time.
6
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
a. It takes the robot hour(s) to complete one task.

Answers

Step-by-step explanation:

60 divided by 7 = approx. 8-9 min for each task.

7 tasks per hour

Answer:

a. 8.58 (8.57142857143)

Step-by-step explanation:

what is negative 3 and one fourth minus 3 and one fourth

Answers

Answer:

-6 1/2

Step-by-step explanation:

Answer:

-6.5

Step-by-step explanation:

pls give me brainiest

The area of a square is 100 square centimeters. what is the perimeter

Answers

Answer:

Step-by-step explanation:

area of a square = S x S

side = ⱱarea

side = ⱱ100

side = 10cm

perimeter = 4s

= 4 x 10

=40cm

What is the value of m in the equation {m-ăn = 16, when n=8?

Answers

48.6 because if you do the math, the sum adds up

What is the slope of the line that passes through the points (7,-4) and (7,0)?
Write your answer in simplest form.

Answers

Answer

The x value is the same between these two values, which gives an undefined slope, I think

Step-by-step explanation:

Answer:

Yes the answer is undefined

Step-by-step explanation:

Look it up

Select all that apply
A class has 7 boys and 10 girls. Select all associated ratios for this class.
10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7

Answers

10:7, 7:10 This should be right

0=p-27h/17+h solve for p

Answers

Answer: The answer is p=10h/17.

Step-by-step explanation: You'll need to solve for p by simplifying the both sides of the equation, and then isolating the variable.

Forty five percent of middle schools have a horse as a mascot. If there are 420 middle schools how many have a horse as a mascot ?

Answers

189
Because you have to turn it into a percentage in order to know how many per 1 percent. So multiply 420 by 100 and get 4.2 then you multiply it by 45 and you get 189 so 179 schools have a horse mascot

round 7, 525 to the nearest hundreds​

Answers

Answer:

7,525 = 7,500

Step-by-step explanation:

Answer:

7,500

Step-by-step explanation:

Find the slope of the line through the given points.
(6, 1) and (7,-2)

Answers

Answer:

slope  -3

y-intercept  19

Step-by-step explanation:

....................... Plz​

Answers

Answer:

2/5 (x-1)=15 (x=7)

7 (1+3m)=49 (m=2)

Answer:

1. x=77/2

2. m=2

Step-by-step explanation:

Elise sent 6 postcards during her vacation. Deandre sent fewer postcards than Elise. Plot the points on the provided number line that could represent the number of postcards Deandre sent during his vacation.

Answers

Answer:

im pretty sure it's 8 I'll make sure to do the math right again but I'm pretty sure it's 8

plot the points on 5 , 4 , 3, and 2

find the distance between (-8,7) and (13,-1)​

Answers

Answer:

22.4722

Step-by-step explanation:

To answer this question we need to use the distance formula. The distance formula is as follows:

[tex]d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}[/tex]

Now, let's identify what each variable is:

x2 = 13

x1 = -8

y2 = -1

y1 = 7

Next, let's put these into the equation:

[tex]d = \sqrt{(13 - (-8))^2 + (-1 -7)^2}[/tex]

Time to solve the equation:

[tex]d = \sqrt{(21)^2+(-8)^2} \\d = \sqrt{441 + 64} \\d = \sqrt{505} \\d = 22.4722[/tex]

Therefore, the distance between the points of (-8,7) and (13,1) is 22.4722.

I hope this helps!!

- Kay :)

please dont answer with random things i actually need the answer
Which of these inequalities are equivalent to r > -11?
Check all that apply.
-r -33
-3r 33
Random answers get reported

Answers

Answer:

A,C, and D

just did the assignent

Answer:

ACD

Step-by-step explanation:

why we develop corporations​

Answers

Answer:

Answer -The main reason for forming a corporation is to limit the liability of the owners.

Step-by-step explanation:

Round 6.487 and 2.049 to the hundredths place. What is the sum of the rounded numbers? *

Answers

Answer:

8.54

Step-by-step explanation:

If thousandth's place is ≥ 5 , then add 1 to the hundredth place.

6.487 = 6.49

2.049 = 2.05

6.487 + 2.049 = 6.49 + 2.05  = 8.54

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What is the slope of line ? answer of 5 1/2 - 3 5/8 Jack's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave? Explain how the city of Rome compared to other cities of their day. Click this link to view O*NETs Tasks section for Heating and Air Conditioning Mechanics and Installers. Note that common tasks are listed toward the top, and less common tasks are listed toward the bottom. According to O*NET, what are some common tasks Heating and Air Conditioning Mechanics and Installers perform? Check all that apply.joining pipes or tubing to equipment and to fuel, water, or refrigerant sourcepumping oil from a well into a pipeline for transmissionoverseeing the activities of workers in a hydroelectric power planttesting pipe, or tubing joints or connections for leaksreassembling and testing equipmenttesting electrical circuits or components Im dumb so can u pls help me A car travels at a constant speed up a ramp making an angle of 28 degrees with the horizontal component of velocity is 40 kmh^-1, find the vertical and horizontal component of velocity. PLEASE HELP!!! ILL MARK U BRAINLIEST !!! What is the decimal value of the hex number ABE? A persuasive letter should begin with _____.facts and examplescounterargumentsexpert opinionsa clear statement of position The governments in two countries, Statland and Statopia, are proposing to change their national currencies to the Statto. The proportion of support for such a change within the population in Statland and Statopia are modelled by random variables X and Y respectively. It is thought that the joint density function for the two variables is of the formf(x,y)=(2/5)*(2x+3y) for 0f(x,y)=0 elsewherePart b) the probability that changing to the Statto has the support of more than half the population in each country. 15/30Part c) the marginal density of the support for the Statto in Statland evaluated at the point X=1/2. is 1Part d) the marginal density of the support for the Statto in Statland evaluated at the point Y=1/2. is 1Part e) Find the conditional density of the support for the Statto in Statland given the support of a third of the population in Statopia. Evaluate this density at the point X=1/2 Reaction time is an important part of speed training. The mind body connection helps with allowing us to send signals to our muscles at a much faster rate. This is known as:Group of answer choicesMuscular speedNerve conduction velocityNerve accelerationBrain power what notes are these? (piano) Didnt the murder of Caesar put an end to Romes power struggles? A. Yes B. No C. Maybe 4) The main conflict in the passage occurs between. A) Austin and himself. B) Austin and the coach.C) Austin and his friend D) Coach Tanner and Austin's doctor!. explain the importance of religious tolerance in brief 5. Which of the following lists the integers in order from least to greatest? 20, -6, 2, 1, -13-13, -6, 2, 1, 201, 2, -6, -13, 20-13, -6, 1, 2, 20 State two uses of fats to living organisms What function is common to all types of connective tissue? find the sum of the first 50 terms -6, -2, 2, 6,