Consider the standard form of an exponential function:
y = a (b)^x
1. How does changing the base number (inside the parentheses) change your graph? (10 points)

2. How does changing the number outside the parentheses change your graph? (10 points)

3. Create three new exponential equations to represent Alison, Cindy, and Javier. (30 points)
Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.

I have number one please help with 2 and 3.

Answers

Answer 1

Answer:

2. If we plug in X = 0 into our problem ( Y = A(B)^X ) I would get Y = A which drastically changes the initial value, the Y-intercept, and the point on the graph. The point changes to (0,a) which becomes the new Y-intercept.

3. Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

Step-by-step explanation:

Answer 2

The answer to part [2] and [3] are given above.

What is a mathematical function? What is an exponential function? Differentiate between equation and expression?  exponential function : An exponential equation is given by -

        y = A(B)ˣ

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the standard form of an exponential function -

y = a (b)^x

[2] - Changing the number outside the parenthesis will determine the amplitude scaling of the graph of (A)ˣ. For -

a > 1   (Magnitude will increase)

a < 1   (Magnitude will decrease)

a = 0  (Magnitude will become zero)

[3] - For Alison, we can write the expression as -

y{A} = 5000(1000)ˣ

For Cindy and Javier, we can write -

y{C} = (2)ˣ

y{J} = (3)ˣ

where -

[x] represents the number of posts.

Therefore, the answer to part [2] and [3] are given above.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Related Questions

into the pair of a fraction as a pair of fractions with a common denominator ​

Answers

Answer:

3/10, 2/5

Step-by-step explanation:

-9(-5k + 3m) + 9m -5(-5m + 9k)​

Answers

7m -36k
Here’s the answers
-9(-5k+3m) + 9m - 5(-5m+9k)

multiple -9 by -5k+3m

45k-27m + 9m -5(-5m+9k)

multiply -5 on -5m+9k

45k-27m + 9m +25m -45k

45k -45k -27m + 9m + 25m
0k. +7m

= 7m

An experiment was performed on a 2kg block. Forces 5, 10, and 15 Newton's respectively were applied to the block for 5 seconds. Describe the difference in acceleration between the three trials?

Answers

Answer:

B) The final acceleration will triple between the first and third trial.

Identify the multiplication problem that matches the model

Answers

Answer:

I think its 2 x 5/8

Step-by-step explanation:

tell me if its right!

D is the correct answer

A car travels 100 miles in 4 hours. What is its average speed?

Answers

Answer:

25 miles per hour

Step-by-step explanation:

100 / 4 = 25

Average speed =distance covered over time taken
A.s= 100 /4
A.s=25miles/hour

Graph y=1.4xy=1.4xy, equals, 1, point, 4, x. plz help its not too late plz

Answers

Replace x with any number and solve for Y.

Do this at least twice to get 2 points.

Place these points on the graph and draw a line through them.

See attached graph.

Let x = 2

y = 1.4(2)

y = 2.8

First point = (2,2.8)

Let x = 5

y = 1.4(5)

y = 7

Second point = (5,7)

The y-intercept is zero, that means the line is passing through origin.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation is given below.

y = 1.4x

In the above equation, y-intercept is not there, which means the line is passing through origin.

More about the equation of line link is given below.

https://brainly.com/question/21511618

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Suppose there is a 1.6°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 58.3°F​, what will be the temperature when the plane reaches an altitude of 2,000 ft​?

Answers

Answer: 55.1°F

Step-by-step explanation:

We are informed that there is a 1.6°F drop in temperature for every thousand feet that an airplane climbs into the sky, if the plane reaches an altitude of 2,000ft, the drop in temperature will be:

= 1.6° × 2

= 3.2°F

If the temperature on the ground is 58.3°F​, then the temperature when the plane reaches an altitude of 2,000 ft will be:

= 58.3°F - 3.2°F

= 55.1°F

On Monday, Franco borrowed $15 from his friend. Tuesday, Franco borrowed $12 more from his friend. Franco plans to pay his friend back $18 on Wednesday.What will Franco’s balance be on Wednesday?(Anwser with number only please)

Answers

9

Step-by-step explanation:

I believe its 9 because he borrowed $15 on Monday and then he did $12 more on Tuesday and thats already $27 that he owes his friend but then Franco pays his friend back $18 and he will just owe him $9 left

please help it due in a lil bit


please and thank u

Answers

Answer:

D. 13.9

Step-by-step explanation:

Find the missing side

[tex]sin(60)= \frac{x}{16}[/tex]

x = 16 × [tex]sin(60)[/tex]

x = 13.9

It is sin because its opposite over hypotenuse

ab+c=d solve for b.

Answers

Answer:

give branliest pls

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Find the geometric mean of 8 and 13.

Answers

Find the factors from the roots, then multiply the factors together.
y
=
x
2

21
x
+
104

hmark 1 - Item 205023
Erin received the following scores on her last four spelling tests.
23, 82%, 0.8,
17
20
Which of these is Erin's highest score?

Answers

Answer:

82% is her highest score

Step-by-step explanation:

82 is greater than 23, 80, 17 and 20

Plz help I will give brainliest JUST PLZ HELP

Answers

A= 90 degrees
B= 130 degrees
(not sure of the rest)

I need help solving

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Step-by-step explanation:

Divide a percentage by 100% to convert it.

=> (1/20%) / 100% = 0.0005 or 1/2000.

Raul put 20 gallons of gas in his car. How much did Raul spend on gas?

Answers

Well if the average price of gas in the u.s. is around $2.00 so I think it would around $40.00.


What is the minimum value for the function shown in the graph?

______

Answers

Answer:

The minimum value is -6

Step-by-step explanation:

The maximum value is always a "hill" looking shape, while a minimum value is always a "U" shape

Spiral Review Gretchen is delivering boxes of cookies to her neighbors. Her wagon itself weighs 12 pounds when empty and will hold up to 9 boxes.
If each box of cookies weighs 1 pound, what is the range of the total weight of her wagon while she is delivering cookies?
Enter the correct answers in the boxes.

Answers

Answer:

0-108

Step-by-step explanation:

I have the same assignment and got it while working on it

you have to say from either 0 or 12 pounds to 108 as you have to multiply 12 x 9.

The range of the total weight of her wagon while she is delivering cookies is  12 pounds to 21 pounds.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Spiral Review Gretchen is delivering boxes of cookies to her neighbors. Her wagon itself weighs 12 pounds when empty and will hold up to 9 boxes.

Each box of cookies weighs 1 pound.

Weight of 9 boxes = 9 pounds.

So, the range,

= 12 pounds to 12 + 9 pounds

= 12 pounds to 21 pounds.

Therefore, the range is 12 pounds to 21 pounds.

To learn more about the addition;

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Solve for x
-2x + 4 = 6x - 12

Answers

Answer:

x=2

Step-by-step explanation:

-2x+4=6x-12  Add 2x to both sides.

+2x    +2x

4=8x-12         Add 12 to both sides.

+12  +12

16=8x            Divide by 8 on both sides.

/8 /8

2=x

Hope this helps you out and have a great day (~^▽^)~

Answer:

x=2

Step-by-step explanation:

-2x + 4 = 6x - 12

First add 2x to each side: 4=6x−12+2x

Now simplify 6x-12+2x: 4=8x-12

add 12 to both sides: 4+12=8x

Simplify 4+12: 16=8x

Divide both sides by 8: 16/8

you end up with x=2

Hope this helps :)

1/6 + 3/4 = how many units

Answers

Answer:

[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

hope this helps sorry if incorrect have a good rest of your day

Answer:

22/24, but simplified is 11/12

Step-by-step explanation:

whats 100*100??? please help

Answers

Answer: 100*100=10,000

thanks for the points :))

Guys help ASAP! Is 2 a solution of 4x+12=4 complete the statement

Answers

the answer is “is not” hope this helps

Answer:

false ; is not

Step-by-step explanation:

please help, I WILL MARK YOU *BRAINLIEST*
QUESTION: Four more than the quotient of 300 and a number *

A. 4 + (300 - n)
B. (300/n) + 4
C. 4 + 300n
D. (300n +4) + n

Answers

If you want more like this^^^^^^^

Answer:

A

9 yards times 3 over 1 times 2 over 1 =54 over 1

Answers

Answer:

yeah

Step-by-step explanation:

thanks, 5 star, brainliest pls

Please help this is due today

Answers

Answer:

A (13 units)

and E (the one you chose)

Step-by-step explanation:

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Answers

Answer:

I do not know

Step-by-step explanation:

I dont know

the answer choices are
a. 32m
b. 225 m
c. 5 m
d. 15 m

Answers

Answer:

d. 15 m

Step-by-step explanation:

hypotenuse (h) = 25 m

base (b) = 20 m

perpendicular (p) = ?

By using Pythagoras theorem we get

p = √h² - b²

= √ 25² - 20²

= √ 225

= √ 15²

= 15 m

Hope it will help :)

Answer:

15

Step-by-step explanation:

according to pythagoras:

25^2 = 20^2 + 15^2

Solve for t. If the answer is a decimal, round to the nearest tenth.

Asking again please no answered it :(
More points this time tho

Answers

Step-by-step explanation:

By Pythagoras' Theorem,

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=> t² = 169 - 144 = 25

=> t = 5 (as t is non-negative).

Peanuts worth $2.25 a pound were mixed with cashews worth $3.25 a pound to produce a mixture worth $2.65 a pound. How many pounds of each are needed to produce 35pounds of mixture?

Answers

Answer:

14lbs cashews

21lbs peanuts

Step-by-step explanation:

Factor the following completely: 5.02
13.2
6

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Answer:

Factoring cannot be done on fractional numbers. Please restate the question.

Please help!! Tysm!!!!!!!!!!!!!!!!!

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Answer:

first one

Step-by-step explanation:

because half of the figure

Answer:

The first one

Step-by-step explanation:

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