Complete the table to investigate dialations of exponential functions.

Complete The Table To Investigate Dialations Of Exponential Functions.

Answers

Answer 1

Answer:

a = 1, b = 3, c = 1, d = 2, e = 6, and f = 8

Step-by-step explanation:

The given exponential functions are;

2ˣ, 3·2ˣ, and  [tex]2^{3 \cdot x}[/tex]

Let f(x) = 2ˣ, h(x) = 3·2ˣ, and g(x) = [tex]2^{3 \cdot x}[/tex]

From the table for investigating the dilations of exponential function, we have;

a = f(0) = 2⁰ = 1

b = h(0) = 3·2⁰ = 3 × 1 = 3

c = g(0) = [tex]2^{3 \times 0}[/tex] = 2⁰ = 1

d = f(1) = 2¹ = 2

e = h(1) = 3·2¹ = 3 × 2 = 6

f = g(1) = [tex]2^{3 \times 1}[/tex] = 2³ = 8.


Related Questions

Need help asapppppp!!!!

Answers

Answer:

..

Step-by-step explanation:

You can easly calculate this.. then compare..

Example :

1/5 = 0.2

1/4 = 0.25

Then 1/4 > 1/5

please help!
Is (2, 10) a solution of y > 4x + 1?


Yes, (2, 10) is a solution of y > 4x + 1.

No, (2, 10) is not a solution of y > 4x + 1.

Answers

Answer:

yes is the answer took the test yesterday

Step-by-step explanation:

Jane and Chris sell candles to earn money. Jane spent $20 to create her candles and sells candles for $3 each. Chris spent $40 to create his candles and sells candles for $5 each. How many candles will Jane and Chris have to sell in order to earn the same profit?​

Answers

Answer:

10 candles

Step-by-step explanation:

Jane's caldles:

Cost = $20, Price = $3 per candle

Chris's candles:

Cost = $40, Price = $5 per candle

Profit, if equal per x candles is:

3x - 20 = 5x - 405x - 3x = 40 - 202x = 20x = 10

Each will have profit of $10 if 10 candles sell

factorize 2x² - 5x+ 2x - 5​

Answers

Answer:

(x+1)(2x-5)

Step-by-step explanation:

Answer:

(x+1)(2x-5)

Step-by-step explanation:

Need help kinda stuck on this one!

Answers

it goes zero positive negative. that is from left to right

help please will give brainiest

Answers

Answer:

the first one

Step-by-step explanation:

HELP!!! GEOMETRY 15 POINTS

Answers

Yes, the depth of China is 29.45 feet.

Write an equation in slope-intercept form of the line that is parallel to y = 5x + 12. ​

Answers

Answer:

good luck bro these types of questions  are so annoying im doing one now and is the question from mathswatch

Step-by-step explanation:

The slope is going to be 5 and the y intercept is going to be (0,12)

Distribute and Simplify: (p + 3)5

Answers

Answer:

5p+5

Explanation:

5(p+3)

(5*p)+(5*3)

5p+5

Hay you over there
don't be sad
I will be there for you
I will never be mad
Don't ever say you are ugly
Because you are beautiful
I love it when you're giggly
and when you're joyful
You are perfect in every way
You are cute, funny, and smart
I miss you saying hay
without you I'm falling apart
Don't listen to the judgers
listen to your heart
You are perfect
you are you
and who you are meant to be
if you don't believe me
look into my eyes and you will see

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

I passed it on. now its your turn :)​

Answers

never going to left you go

never going to left you down

Triangle A B C is shown with its exterior angles. Line B A extends through point D. Line A B extends through point E. Line A C extends through point F. Which angle's measure is equal to the sum of the measures of ∠BAC and ∠BCA?

Answers

Answer:

∠CBE

Step-by-step explanation:

Find the diagram attached

Using the exterior property of a triangle which states that the sum of interior angles of a triangle is equal to the exterior angle.

Given the following from the diagram

Interior angles are ∠BAC and ∠BCA

Exterior angle = <CBE = a+b

Using the law above,

∠BAC + ∠BCA = ∠CBE

Hence the angle's measure that is equal to the sum of the measures of ∠BAC and ∠BCA is ∠CBE

Answer:

angleCBE

Step-by-step explanation:

answer correctly for brainliest +10 points!

Answers

The top right corner is the table that represents a linear function because when x goes up by 1 y continuously goes down by 2 and stays consistent

In preparation for an Easter egg hunt,4 blue eggs are filled for every 7 green eggs. How many green eggs will be filled if 100 blue eggs were filled?

Answers

Answer:

175 green eggs

Step-by-step explanation:

The ratio of blue eggs to green eggs that are filled is 4/7

You can make a proportion:

4/7 = 100/x

x is the number of green eggs filled (x is the answer to the problem.

If you cross-multiply then it will be 700 = 4x

divide by 4 on both sides and x would equal 175.

please help me with number 8. part A and B. it’s a test

Answers

Answer:

Dude divide the amount of money small loaves cost by $97 and then do the same but with the amount of money the loaves cost

Question 1 (2 points)
Find the slope and y-intercept for the graph below.
m
b

Answers

Answer:

The slope is:

[tex] \frac{5}{2} [/tex]

The y-intercept is:

-3

A man walks for x hours at a speed of
(x + 1) km/h and cycles for (x - 1) hours at
a speed of (2x + 5) km/h. If the total distance
travelled is 90 km, x

Answers

Given:

A man walks for x hours at a speed of  (x + 1) km/h and cycles for (x - 1) hours at  a speed of (2x + 5) km/h.

Total distance  travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]Speed\times Time=Distance[/tex]

A man walks for x hours at a speed of  (x + 1) km/h, so walking distance is

[tex]D_1=(x+1)(x)[/tex] km

The man cycles for (x - 1) hours at  a speed of (2x + 5) km/h, so the cycling distance is

[tex]D_2=(2x+5)(x-1)[/tex] km

Now,

Total distance = 90 km

[tex]D_1+D_2=90[/tex]

[tex](x+1)x+(2x+5)(x-1)=90[/tex]

[tex]x^2+x+2x^2-2x+5x-5-90=0[/tex]

[tex]3x^2+4x-95=0[/tex]

[tex]3x^2+19x-15x-95=0[/tex]

[tex]x(3x+19)-5(3x+19)=0[/tex]

[tex](3x+19)(x-5)=0[/tex]

[tex]3x+19=0\text{ and }x-5=0[/tex]

[tex]x=\dfrac{-19}{3}\text{ and }x=5[/tex]

Time cannot be negative. So, the only possible value of x is 5.

Can you solve this math minigame first?
Don't use a calculator.
Whoever gets the most right wins and gets brainliest
Goodluck
----------------
1 x 4
4 x 4
2 x 5
10 x 10
9 x 9
8 x 8
6 x 6
6 x 5
7 x 8
100 x 100 <= solve for THREE points

Answers

4
16
10
100
81
64
30
56
10,000

Please help ASAP I'm willing to give Brainiest
49. You have been asked to place a warehouse so that it is an equal distance from the three roads indicated on the following map. Find this location and show your work.


a. What constructions would you need to perform to accomplish the task?

b. What is the point called where you will place the warehouse?

Answers

Not sure about part a, but the answer to b is the central configuration

Step-by-step explanation:

A train is travelling with a velocity of 15m/s.
It then accelerates at 0.5 m/s2 for 6 seconds.
Use the formula v=u+ at to calculate the velocity of the train after the 6 seconds.

Answers

Given that,

Initial speed, u = 15 m/s

Acceleration, a = 0.5 m/s²

Time, t = 6 s

To find,

Velocity after 6 seconds.

Solution,

Let v is the velocity of the train.

Using equation : v = u +at

Put all the values,

v = 15 +0.5(6)

= 15 + 3

= 18 m/s

So, its final velocity is 18 m/s.

BRAINLIEST AND 50 POINTS!!!!! Choose the best answer
∠FOA 40 140 90 130 50
∠COA 40 140 90 130 50
∠DOA 40 140 90 130 50

Answers

Answer:

2nd one COA 40 140 90 130 50

Step-by-step explanation:

IF IM WRONG TELL ME AND I HELP YOU OUT AGAIN

Answer:

A=180 B=150 C=130 D=90 E= 60 F=40

Step-by-step explanation:

A=180 B=150 C=130 D=90 E= 60 F=40

If school starts at 8:30 a.m. and ends at 3:20 p.m., how long is the school day?

6 hours and 10 minutes
11 hours and 50 minutes
5 hours and 10 minutes
6 hours and 50 minutes

Answers

Answer:

50 min 5 hours

Step-by-step explanation:

Answer: 6 hours and 50mins

Step-by-step explanation:

What’s the answer please help

Answers

Answer:

{121,144,169} X intersecting Y means common number between x and y set

PLZZ HELP ME
Oscar lends his brother $125.00 and charges him 5% interest. How much will Oscar's brother pay back for the loan in total?

A.
$118.75

B.
$130.00

C.
$131.25

D.
$187.50

Answers

Answer:

125/100 X 105 = 131.25

loan total = $131.25

50 points please help

Answers

Answer:

What are in the boxes?

Step-by-step explanation:

Can you show the text in the choose box please?

heyheyhey ( I HATE ONLINE SCHOOL STUFF)

Answers

Answer:

Same!

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

The total cost for a chair, a desk, and a lamp is $562. The desk costs four times as much as the lamp and the chair costs $23 less than the desk. Find the cost of each item.

Answers

Ok I’m giving a educated guess here so $562 divided by 3 is 187.3 then you do 187.3-23 which would be 164.3 so if I’m correct it would be 164.3 for both the chair and the lamp and 187.3 for the desk also just a heads up the .3 would be .333333.... :) I will delete if I’m wrong

6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9

Answers

Answer:

6

Step-by-step explanation:

If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.

So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9

36 is divisable by 9, so Δ has to be 6.

The value of the number which will make it divisible by 9 will be 6.

Based on the information given, we've to find a number that will give a value without a remainder.

Therefore, if we use 6, the number will be 678564. Then, we can divide by 9 and it'll be.

= 678564/9

= 75396

Therefore, the number is 6.

Learn more about division on:

https://brainly.com/question/4320580

Help pls and thank you :)

Answers

The answer is d.....


16 Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)
Draw a sketch of the normal distribution and label the mean and 1, 2, and 3 standard devitons above and
below the mean with computed values.
Assume that the weight of 1-year-old girls in the USA is normally distributed with Mean = 9.5 kg, Standard
Deviation = 1.1 kg.
(a) 68% of the data is between which 2 values? 8.4 oro kg -- 10.0 kg
(b) 95% of the data is between which 2 values? 7.3 kg - 11. oo kg
(c) What percentage of the data is less than 8.4 kg?
(d) What percentage of the data is between 7.3 kg and 11.7 kg?
(w) What percentage of the data is more than 12.8 kg?

Answers

Answer:

a)8.4kg to 10.6kg

b)7.3 kg to 11.7kg

c)16%

d) 95%

e) 0.15%

Step-by-step explanation:

The empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question,

Mean(μ) = 9.5 kg,

Standard Deviation (σ) = 1.1 kg.

a) 68% of the data is between which 2 values?

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

μ - σ

= 9.5kg - 1.1kg

= 8.4kg

μ + σ

= 9.5kg + 1.1kg

= 10.6kg

Therefore, 68% of the data is between 8.4kg to 10.6kg

(b) 95% of the data is between which 2 values?

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ - 2σ

9.5kg - 2(1.1)kg

9.5kg - 2.2 kg

= 7.3kg

μ + 2σ

9.5kg + 2(1.1)kg

9.5kg + 2.2 kg

= 11.7kg

Therefore, 95% of the data is between 7.3 kg to 11.7kg

(c) What percentage of the data is less than 8.4 kg?

We need to find how many standard deviations from the mean 8.4kg is, in order to know the percentage it falls under

μ - xσ = 8.4kg

= 9.5kg - 1.1x = 8.4kg

9.5 - 8.4 = 1.1x

1.1 = 1.1x

x = 1.1/1.1

x = 1

Hence, the percentage it falls under according to Empirical rule = 68%

The percentage of the data that is less than 8.4 kg is calculated as:

100 - 68/2 = 32/2 = 16%

(d) What percentage of the data is between 7.3 kg and 11.7 kg?

We have to find the Standard deviation that they fall under

For 7.3 kg

μ - xσ = 7.3kg

= 9.5kg - 1.1x = 7.3kg

9.5 - 7.3 = 1.1x

2.2 = 1.1x

x = 2.2/1.1

x = 2

μ + xσ = 11.7kg

= 9.5kg + 1.1x = 11.7kg

11.7 - 9.5 = 1.1x

2.2 = 1.1x

x = 2.2/1.1

x = 2

Therefore, based on the calculation above and the empirical formula rule, the percentage of the data is between 7.3 kg and 11.7 kg is 95%

(e) What percentage of the data is more than 12.8 kg?

μ + xσ = 12.8kg

9.5kg + 1.1x = 12.8kg

= 12.8- 9.5 = 1.1x

3.3 = 1.1x

3.3 = 1.1x

x = 3.3/1.1

x = 3

Hence, the percentage it falls under according to Empirical rule = 99.7%

The percentage of the data that is more than 12.8kg is calculated as:

100 - 99.7/2 = 0.3/2 = 0.15%

A town's population is 43,650. About 125 people move out of the town each month. Each month, 200 people on average move into town. A nearby town has a population of 45,675. It has no one moving in and an average of 150 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question. Which equation mode +​

Answers

Answer:

After 7 months population will be same.

(43425 + 75x) = (45000 - 150x)

Step-by-step explanation:

Population of a town = 43425.

Number of people moving out of the town = 125 per month

Number of people moving in = 200 per month

On an average number of people increasing every month = 200 - 125

                                                                                                = 75

Population of the nearby town = 45000

Number of people moving in = 0 per month

Number of people moving out = 150 per month

Let after x months number of population will be same.

So the equation will be (43425 + 75x) = (45000 - 150x)

1). By solving this equation we can get the number months when the population of both the towns will be same.

43425 + 75x = 45000 - 150x

43425 + 75x + 150x = 45000

75x + 150x = 45000 - 43425

225x = 1575

x = 1575/225

x = 7 months

Other Questions
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