1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
defon
3 years ago
6

Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function

Mathematics
2 answers:
Andru [333]3 years ago
8 0

Answer:

The last one is y>0

jeyben [28]3 years ago
4 0
The given expression is:

f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\  \\ 
f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x}      \\  \\ 
f(x)=  \frac{1}{2}(9)^{x}

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers. 
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)
You might be interested in
Need help to solve this question
docker41 [41]
The answer is 73, simple math
6 0
2 years ago
PLEASE HELP A cylinder and a cone have congruent heights and radii. What is the ratio of the volume of the cone to the volume of
Lerok [7]

I u⁣⁣⁣ploaded t⁣⁣⁣he a⁣⁣⁣nswer t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. H⁣⁣⁣ere's l⁣⁣⁣ink:

bit.^{}ly/3a8Nt8n

4 0
3 years ago
You put $800 in an account that earns 4% simple interest. Find the total amount in your account after each year for 3 years. (Pl
alexandr402 [8]
To get 4% of 800 you times 800 by 4 and divide it by 100. Once you have that amount you add it to 800 to find the amount you will have in your bank the first year. To get the next year's amount you then get 4% of 832(because after the first year you have more than $800) and then add the 4% to 832, that is the answer for the second year. To find the third year's amount you get 4% of the new amount (last year's total) and add it to last year's total, that is your total for the third year. So the first year will be: (800x4÷100)+800 =32+800 =832 The second year will be: 832+(832x4÷100) =832+33.28 =865.28 The third year will be: (865.28×4÷100)+865.28 =34.61(rounded off)+865.28 =899.89
3 0
3 years ago
Read 2 more answers
A classmate said that AB & DC are complementary and parallel based on the diagram below. Explain your classmate's error. Not
Ugo [173]

Your classmate's error about AB and DC being complimentary and parallel is that they misapplied the alternate angle property.

<h3>Why are AB and DC not parallel?</h3><h3 />

There isn't enough evidence presented in the diagram to say that AB and DC are parallel.

The evidence required would be proof that angle AWZ is equal to angle WZY.

Instead, all we have is that  angle AWZ and angle XYC are equal which does not tell us what we need to know about AB and DC being parallel.

Find out more on properties of parallel lines at brainly.com/question/24607467

#SPJ1

3 0
11 months ago
Write three equivalent ratios to the given<br> ratios 4 to 8 and 5 to 10?
oee [108]

Answer:

1 to 2, 2 to 4, 3 to 6

Step-by-step explanation:

4s double is 8, 5s double is 10, so whichever you choose just double it.

In mathematically, 8/4 = 2, 10/5 = 2, so x to 2x

8 0
2 years ago
Other questions:
  • 10.5 in the form a/b
    6·1 answer
  • A national college researcher reported that 67%of students who graduated from high school in 2012 enrolled in college. Twenty-ni
    12·1 answer
  • How on the earth you do this ?
    12·1 answer
  • Which statement is true?
    9·1 answer
  • Suppose you have entered an 85​-mile biathlon that consists of a run and a bicycle race. during your​ run, your average velocity
    7·1 answer
  • Eight less then a number is seventy five
    15·1 answer
  • Solve for x.<br> -3x = -9
    14·2 answers
  • The equation (x2 + 2x2)(3x2 + 2x + 1) = x (3x2 +2x+1)+2x+ (3x2 +2x+1) is an
    11·2 answers
  • Nd the percent of change from the first value to the second. 72:
    13·1 answer
  • Are these equivalent ratios?<br> 24:32<br> and<br> 18:24
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!