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 -

brainly.com/question/17421223

#SPJ2


Related Questions

A car dealership sold 228 cars in 4 months. At what rate did the dealership sell cars in cars per month?
A.
58 cars per month
B.
56 cars per month
C.
59 cars per month
D.
57 cars per month

Answers

Answer:

D. 57

Step-by-step explanation:

228 divided by 4 is 57.

I need help asap! This is a math pearson.

Answers

Answer:

2.4x105

Step-by-step explanation:

D

Answer: BHope this helps hope you get a good score on test/assignment/quiz/homework also can I get the brain thing pls-Tay did this

Find the measures of HQE and AQG

Answers

Answer:

HQE= 42

AQG= 21

Step-by-step explanation:

90+3y+27=180

117+3y=180

3y=63

y=21

5470
Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minutes.
Machine B makes 16 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.

Answers

Answer:  1144

Step-by-step explanation:

Given: Machine A makes 7 parts every 10 minutes.

i.e. it makes [tex]\dfrac{7}{10}[/tex] parts in 1 minute.

Machine B makes 16 parts every 15 minutes.

i.e. it makes [tex]\dfrac{16}{15}[/tex] parts in 1 minute.

On Monday,

machine A makes parts for 12 hours(720 minutes).    [1 hour = 60  minutes, 12 hours = 12 x 6 = 720 minutes]

i.e. Total parts made = [tex]\dfrac{7}{10}\times720[/tex]

i.e. Total parts made = 504

machine B makes parts for 10 hours(=60x 10=600 minutes)

i.e. Total parts made = [tex]\dfrac{16}{15}\times600[/tex]

i.e. Total parts made = 640

Total parts made by both machines = 504+640 =1144

Hence, the total number of parts made by the two machines on Monday=1144.

Joe and Brody order some food for their families. Joe orders 2 chicken dinners and 3 sides for $34.50. Brody
orders 3 chicken dinners and 2 sides for $43.00. All the dinners cost the same, and all the sides cost the same.
What is the cost of 1 side?

A $2.75
B. $3.00
C. $3.25
D. $3.50

Answers

Answer: D

Step-by-step explanation:

If Joe orders 2 chicken dinners and 3 sides for $34.50, then you have to multiply 3.50 by 3 to get the ammount that the dinners cost.

3.50x3 = 10.50

Next, you have to subtract 10.50 from 34.50 to get the cost of just the 2 dinners.

34.50 - 10.50 = 24.00

Now, divide 24 by 2 to get the cost for 1 dinner.

24/2 = 12

Since Brody ordered 2 sides, you have to subtract 3.50x2 = 7 from 43 to get the total of his dinners.

43 - 7 = 36.

Now we can check our answer. Since 1 dinner costs $12, we can multiply 12 by 3 to get 36, which is the exact same number as the one we just figured out. So, each side costs 3.50.

(You can also multiply 12 by 3.50 to get 43, which was the total cost of Brody's order.)

find the value of x 12.5, 12, 15

Answers

Answer:

Find the value of x for the given expression: 10x = 50 · Find the value of x for 15 + x = 30 · Find the value of x for the given equation 12 + 2x + 18 = 10.

Step-by-step explanation:

Question: c > 2.5; c = 3

Answers

Answer:

(1+x)

n

=

n

C

0

+

n

C

1

x+

n

C

2

x

2

+

n

C

3

x

3

+.....

n(1+x)

n−1

=

n

C

1

+2

n

C

2

x+3

n

C

3

x

2

+....

Put x=5

n(1+5)

n−1

=C

1

+2.5C

2

+3.5

2

C

3

+....

=n6

n−1

.

What is the slope of this line?
Y=-2x+6

Slope=?

Answers

Answer:

-2

Step-by-step explanation:

Multiply this please. (4x-5)^2

Answers

Answer:

400

Step-by-step explanation:

i need help i will mark u brainlest

Answers

the answer is C,
step-by-step: i had the same test lolll

Answer:

3rd one

Step-by-step explanation:

-8x - 8 x = 5 + 5 what does x equal?​

Answers

The answer is that
Thank me by clicking on the ❤️. Thanks!

1/3 × 3/5 × 2 1/4 = ​

Answers

Answer: 0.45

Step-by-step explanation:

0.4499 or 0.5 which is 1/2

Help me please ASAP. I really need this

Answers

Answer:

Step-by-step explanation:

I don't think this can be done without the diagram. You do not know what HD is opposite. I will take a guess that it is opposite TU which makes TU = 220 because both H and D are midpoints and that makes TU twice as large as HD.

If this is incorrect, post the diagram.

i need help on this i have an important test due rn ​

Answers

That is called supplementary angles, so they add up to 180 degrees
So it would be 57 + x + 23 = 180
Add 57 and 23, which is 80, subtract that from 180, and you would get
x = 100

The function g is defined by g(x)= 3x2 - 3.
Find g(3z).

Answers

=3(3z)2-3
=3(9z2)-3
=27z^2-3
=3(9z^2-1)
=3(3z+1)(3z-1)

What equation is being graphed?

A. y+5= -3/2(x-4)
B. y-5= -2/3(x+4)
C. y-5= -3/2(x+4)
D. y-4= -3/2(x+5)

Answers

Answer:

D. y-4= -3/2(x+5)

Step-by-step explanation:

Firstly, taking two valid ordered pairs from the graph:

(-2,4) and (2,-2)

Using Delta y over Delta x, we are able to obtain m as -3/2

Next,

The following is the point-slope formula:  

y-y₁=m(x-x₁)

Based on the graph, (4,-5) can be spotted as a definite ordered pair

Therefore, y-4= -3/2(x+5)  fits the graph best and has the appropriate m value.

WILL GIVE BRAINIEST!!!!!!!!

Answers

The answer is A. Hope this helps!

Answer:

y = -5/2x +4

Step-by-step explanation:

First, make the equation into standard form.

5x + 2y = -10

2y = -5x - 10

y = -2.5x - 5

In order for two lines to be parallel, they must have the same slope. (In y = mx + b, "m" is the slope)

The slope in y = -2.5x - 5 is -2.5, so we need to find an equation with a slope of -2.5 (or -5/2)

In y = -2/5x - 8, the slope is -2/5

In y = 2/5x + 7, the slope is 2/5

In y = 5/2x - 6, the slope is 5/2

In y = -5/2x +4, the slope is -5/2.  

Thus, y = -5/2x +4 is the right answer

elsa is designing a commercial jet. she drew a model of her design using the scale shown below. According to her design what will be the length and width in feet of the actual jet

Answers

Answer:

55

Step-by-step explanation:

A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is
57feet and the statue subtends an angle of 7.1° to where you are standing. Find the height of the
statue
A. 13.3 feet
B. 6.4 feet
C. 34.2 feet
D. 8.5 feet

Answers

Answer: D.

Step-by-step explanation:

Hope it helps if so mark me brainliest.

Melanie’s fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?

PLEASE HELP WORTH 15 POINTS

Answers

Half a cup? Correct me if I’m wrong plz

Answer:

hey man its half a cup

Step-by-step explanation:

1) A city has a population of 21,517 based on a census taken in 1998. If the
population is expected to grow by 11% annually, what will the population
be in the year 2030? *
A None of these
B 606,900
C 492,573
D 517

Answers

Answer:

B, 606,900

Step-by-step explanation:

First you'll need to calculate the percentage growth after 32(2030 - 1998) years. to do this you'll need to find 1.11^32 or 28.205, 1.11 being the percentage growth per year and 32 being the number of years passed. then 21,517*28.205 = 606,899.8 which can be rounded to 606,900.

ANSWER CORRECTLY YOU WILL GET BRAINLY IF YOU ANSWER IN 5 min
Option 2 - Coaster City
Option 1 - Adventureland
$20.00 plus $9.00 per person
$40.00 plus $5.00 per person
Part A: Four members of Monica's family will be going on the trip. Which park is the better option if the family is
on a budget?
Part B: Three of Monica's friends have been invited to join the family of four on their trip. Which park will be the
best option for the group?
Part C. For how many people would the cost be the same for each park?
Write an equation that represents the situation then solve. (Explain/Justify your thinking.)

Answers

Answer:

A)

Adventureland.

B)

Coaster City

C)

5 People

Step-by-step explanation:

The cost of Adventureland for p people is:

[tex]A=20+9p[/tex]

And the cost of Coaster City for p people is:

[tex]C=40+5p[/tex]

Part A)

If four people is going on the trip, p = 4. So, the cost for Adventureland is:

[tex]20 + 9(4) = \$ 56[/tex]

And the cost for Coaster City is:

[tex]40+5(4)=\$60[/tex]

Since $56 < $60, Adventureland will be a better option.

Part B)

If three extra people were invited, the total amount of people p is now 7. So, the cost to Adventureland is:

[tex]20 + 9(7) = \$ 83[/tex]

And the cost to Coaster City is:

[tex]40+5(7)=\$ 75[/tex]

Since $75 < $83, Coaster City is the better option in this case.

Part C)

So, we can set the two cost equations equal to each other:

[tex]20+9p=40+5p[/tex]

Solve for p. Subtracting 20 from both sides yields:

[tex]9p=20+5p[/tex]

And subtracting 5p from both sides yields:

[tex]4p=20[/tex]

And dividing both sides by 4:  

[tex]p=5[/tex]

So, if 5 people went on a trip, the cost of going to either Adventureland or Coaster City will be the same.

PLEASE HELP ASAP:


1) What is the measure of ⦣4?

2) How many degrees are in a triangle?

3) What is the measure of ⦣8?

4) What is the measure of ⦣5?

5) If the measure of ⦣9 = 9x + 27, what is the value of x?

6) What is the measure of ⦣1?

7) Supplementary angles will add up to...

8) What is the measure of ⦣3?

9) What is the measure of ⦣6?

10) What is the measure of ⦣2?

11) If you add together the degrees from ⦣1 and ⦣2, they will equal..

Answers

Answer:

1. <4=115 degrees

2. 180 degrees

4. 5 degrees

6. 110 degrees

7. 180 degrees

8.65 degrees

Step-by-step explanation:

The graph of the line goes through the points (7.38, 2) and (11.07,3).

Answers

Answer:

BGHUYVGF

Step-by-step explanation:

TRUGT

A student must have an average​ (the mean) on five tests that is greater than or equal to​ 80% but less than​ 90% to receive a final grade of B.​ Devon's grades on the first four tests were ​77%, ​63%, ​90%, and ​78%. What range of grades on the fifth test would give him a B in the​ course? (Assume that​ 100% is the highest grade​ possible.)

Answers

Answer:

92%-100% for B

Step-by-step explanation:

Answer: 92%-100% for B

Step-by-step explanation:


Please answer both

Answers

Answer:

9) 5/10

10) 4/5

Step-by-step explanation:

A terminating decimal is a decimal that stops eventually

2/3 = 0.6666666...

5/6 = 0.833333...

5/10 = 0.5

6/9 = 0.6666666...

5/10 has a result of a terminating decimal

8/9 = 0.888888...

1/7 = 0.142857...

4/5 = 0.8

4/11 = 0.36363636....

help me with this problem please!!!! :)​

Answers

Answer:

this should do it

Cantos segundos tiene el año

Answers

31,556,952 son los segundos que ahi en un año
1 año = 365 días
365 x 24 horas = 8760
8760 horas x 60 minutos = 525.600 minutos
525.600 minutos x 60 segundos = 31.536.000 segundos

Karen purchased a DVD player on sale. The original selling price was ​$175.90. The sale price was ​$141.37. What is the first step in finding the percent​ markdown? Find the percent markdown.

Answers

Answer:

subtraction

Step-by-step explanation:

Answer:

Subtract 175.90-141.37

Step-by-step explanation:

A real Karen would have asked for the manager.

Offering Brainleast if you explain your answer

Answers

Answer:

1

Step-by-step explanation:

(2x - 5)

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