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
soldier1979 [14.2K]
3 years ago
6

Several ordered pairs from a continuous exponential function are shown in the table.

Mathematics
2 answers:
Klio2033 [76]3 years ago
6 0

Answer:

The Answer is C!

The domain is the set of real numbers, and the range is y > 0.

Step-by-step explanation:

Sunny_sXe [5.5K]3 years ago
4 0

Answer:

The domain is {x : x ∈ R} , the range is {y : y > 0}

Step-by-step explanation:

* Lets explain how to solve the problem

- The general form of the continuous exponential function is

  y=a(e)^{kx} where a is the initial value and k is the growth factor

- We have some ordered pairs from the continuous exponential

  function

- The ordered pairs are:

  (0 , 4) , (1 , 5) , (2 , 6.25) , (3 , 7.8125)

- Lets substitute the values of x and y in the equation to find a , e^{k}

∵ y=a(e)^{kx}

∵ x = 0 and y = 4 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ 4=a(e)^{k(0)}

∴ 4=a(e)^{0}

- The value of e^{0} = 1

∴ a = 4

- Substitute the value of a in the equation

∴ y=4(e)^{kx}

∵ x = 1 and y = 5 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ 5=4(e)^{k(1)}

∴ 5=4(e)^{k}

- Divide both sides by 4

∴ e^{k} = 1.25

- Substitute the value of e^{k} in the equation

∴ y=4(1.25)^{x}

- The domain of the function is all the values of x which make the

  function defines

- The range is the values of y corresponding to x

∵ There is no value of x makes the function undefined

∴ <u><em>The domain is all real numbers</em></u>

∵ y never takes a negative value

∴ <u><em>The range is all the real positive numbers</em></u>

* <em>The domain is {x : x ∈ R} , the range is {y : y > 0}</em>

You might be interested in
What is the equation in slope intercept form of s like that passes through the points (3,2) and (-5,-8)
noname [10]

The slope of the line =  (2- -8) / (3 - - 5) = 10 / 8

= 5/4

y -  y1 = m(x - x1)  where m = slope and (x1, y1) is a point on the line so here we have:-

y - 2 = 5/4(x - 3)

y = 5/4x  - 15/4 + 2

y = 5/4 x - 7/4  is the answer

7 0
3 years ago
Read 2 more answers
What is the surface area of this rectangular prism? Rectangular prism with length labeled 11 feet, height labeled 2 feet, and wi
mart [117]
Answer =200ft
L = 11ft
w = 6
h = 2

3 0
3 years ago
Suppose the population of a city is 10,460 in 2006. The population increases at a rate of 5% annually. Approximately how many ye
professor190 [17]
B is the correct answer your welcome
6 0
3 years ago
Negate the conditional statement.<br><br> c⇒(a∧∼b)
gulaghasi [49]

The negate of this conditional statement as : a∨(∼b).

<h3>What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?</h3>
  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
  • For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have the the following conditional statement -

c ⇒ (a∧∼b)

We can write the negate of this conditional statement as -

a∨(∼b)

Therefore, the negate of this conditional statement as : a∨(∼b).

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

7 0
1 year ago
Mr and mrs. Dorsey and their three children are fling to Springfield. The cost of each ticket is $179. Estimate how much the tic
Soloha48 [4]
<span>First figure out how many people there are all together. So mrs and mr is 2 there three children so 2+3=5 so next round 179 to 200 and multiply 200x5. To do that you can use the mental math way witch would be to take the whole number out of 200 and make it 2. Then take the 5 in 200x5 and multiply 2x5. Then add the 2 zeros there were. And your estamated answer would be 1,000.
2+3=5
179=200
200x5
2x5=10
1,000
To figure out your real answer you will have to take 179 and multiply it by 5 so it will look like this:
 34
179
x
   5
895
Soto conculde the answer would be:

Estamated: $1,000

Exact: $895

Hope this helps!</span>
7 0
3 years ago
Other questions:
  • Pedro sells wooden children's furniture at a crafts market.He charges $65 for a chair.The materials for a chair cost $45 and the
    10·1 answer
  • Seven runners are competing in a race in how many different orders can the runners cross the finish line
    14·2 answers
  • Please help, On a map 1 inch equals 14.4 miles. If two cities are 1.5 inches on the map, how far are they actually apart ?
    9·2 answers
  • Given: m || n and p is a transversal
    15·2 answers
  • PLEASE ASAP There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many pos
    8·1 answer
  • What is the slope of the line through ( -2.1) and (2, -5)
    9·1 answer
  • Find the value of x
    14·1 answer
  • Pl help it’s For a grade I will give you Brainly
    8·1 answer
  • Pzzzzz help As fast as possible
    14·1 answer
  • Find the midpoint of line segment with the given endpoints
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!