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
loris [4]
2 years ago
6

What is the equation of the exponential graph shown? Please help :'(

Mathematics
2 answers:
shutvik [7]2 years ago
7 0
Exponential functions fit the template
y = a*b^x
where 'a' and b are fixed values

The value of 'a' is the y intercept. In this case, it is 100 since (0,100) is on the curve. This is the part where the graph crosses the y axis. So a = 100.

The value of b takes a bit of work to find. We'll plug a = 100, x = 1 and y = 50 into the equation shown above. Why x = 1 and y = 50 you might ask? Well the point (1,50) appears to be on the graph as well.

So plugging those three items into the equation leads to
y = a*b^x
50 = 100*b^1
50 = 100*b
50/100 = 100*b/100 ... divide both sides by 100
1/2 = b
b = 1/2 
b = 0.5

So the equation is y = 100*(1/2)^x which can be written as y = 100*(0.5)^x

The value of b = 1/2 = 0.5 indicates that we multiply each previous result by 1/2 = 0.5 to get the next result. This is another way of saying "divide each result by 2 to get the next"

Eg: 
100 ---> 50 ---> 25 etc
ladessa [460]2 years ago
3 0

Answer: f(x) = 100/(2ˣ) cause your points are (0, 100), (1, 50), (2, 25), and (3, 12.5) so it's decaying by half everytime the x-value gets bigger. The graph starts at 100 and decays by 1/2 everytime making the equation f(x) = 100/(2ˣ).

You might be interested in
This is really confusing can someone help?
Dmitriy789 [7]

Answer:

D.780.8

Step-by-step explanation:

multiply 244 and 3.2 and you get D. hope this helps.

4 0
3 years ago
Read 2 more answers
A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample
djyliett [7]

Answer: (0.10\ ,\ 0.18)

Step-by-step explanation:

According to the empirical rule, the 95% confidence interval for the true population proportion is given by :-

(p'-2\sigma_{p'}\ ,\ p'+2\sigma_{p'})

Given : . The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.

Then, the 95% confidence interval for the true proportion of adults who prefer e-books will be :-

(0.14-2(0.02)\ ,\ 0.14+2(0.02))\\\\=(0.14-0.04\ ,\ 0.14+0.04)\\\\=(0.10\ ,\ 0.18)

Hence, the 95% confidence interval for the true proportion of adults who prefer e-books= (0.10\ ,\ 0.18)

8 0
2 years ago
I need help with ratios.
ra1l [238]
Me toooo! if anyone in these comments could answer my question, that'd be awesome!
6 0
3 years ago
Read 2 more answers
Find the length of EF
Lisa [10]

Answer:

9

Step-by-step explanation:

1. First, we need to set up an equation to find the value of x and then the length of EF.

2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of: 3x - 28 + 3x - 30 + x = 33

3. (Solving for x)

Step 1: Simplify both sides of the equation.

  • 3x - 28 + 3x - 30 + x = 33
  • (3x+3x+x) + (-28-30)=33
  • 7x - 58 = 33

Step 2: Add 58 to both sides.

  • 7x - 58 + 58 = 33 + 58
  • 7x = 91

Step 3: Divide both sides by 7.

  • \frac{7x}{7} = \frac{91}{7}
  • x = 13

4. Now that we know x is equal to 13, we can plug that value in for the expression 3x - 30.

  • 3(13)-30
  • 39 - 30
  • 9

Therefore, the length of EF is 9.

7 0
3 years ago
In the diagram below DE is parallel to XY. What is the value of y?
kirza4 [7]

this would be 94 hope it helps

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do I do this problem
    10·1 answer
  • A family drove to their grandmother's house after the average 200 miles per day
    5·1 answer
  • F(x)=x+7 I need to find the inverse
    12·1 answer
  • Which ordered pair is a solution of the equation? 2x+4y=6x−y
    15·2 answers
  • How to reduce improper fraction 37/30
    8·2 answers
  • Need help simplifying please.
    11·1 answer
  • ( -8) +5+4+(-2) pls aa
    15·1 answer
  • Consider the quadratic expression given below.
    6·1 answer
  • Solve using the elimination method -4x-2y=-18​
    12·1 answer
  • Find X FIND Y<br> PlEase Help me
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!