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]
3 years ago
6

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

Mathematics
2 answers:
shutvik [7]3 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]3 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
Can you please explain how to answer this in a simple way and add a answer?
WINSTONCH [101]

Answer:

75 dogs

Step-by-step explanation:

you divide 30/1 by 2/5. to do that you cross multiply. So 30x5 and 2x1. And get 150/2. Then you simplify.

Hope this helps!(:

8 0
2 years ago
Find the inverse of g(x)=1/x-1+2
IRISSAK [1]

Answer:

Find the inverse of g(x)=1/x-1+2 :

g^{-1} (x)=\frac{1}{x-1}

5 0
2 years ago
If y=-12 when x=9, find y when x=-4<br> please answer quickly
pychu [463]

Answer: x=3

Step-by-step explanation:

to make y=-4 from -12 you have to divide by 3. so divide the 9 by 3 to get 3 which is your answer

7 0
3 years ago
Find what x is 17+7x=x+5
marusya05 [52]

Step-by-step explanation:

17+7x=x+5

6x=-12

x=-2

Hope it helps you

4 0
3 years ago
Read 2 more answers
Elementary Algebra Skill
mr_godi [17]

The answer is a = \frac{4}{-3}

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2\frac{2}{3} will be \frac{8}{3}

<em>2. Now the equation is,</em>

\frac{3}{2} a - \frac{4}{3} a = \frac{10}{3} + \frac{8}{3} a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by \frac{3}{3} and multiply the second fraction by \frac{2}{2}

\frac{3*3}{2*3} a - \frac{4*3}{3*3} a = \frac{10+8a}{3}

<em>4. Solve by making a the subject</em>

\frac{9a-8a}{6} = \frac{10+8a}{3}

\frac{a}{6} = \frac{10+8a}{3}

\frac{3a}{6} =10+8a

\frac{a}{2} = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = \frac{20}{-15}

a = \frac{4}{-3}

Therefore, the answer is a = \frac{4}{-3}

Keyword: Equations

Learn more about equations at

  • brainly.com/question/10666510
  • brainly.com/question/4460262
  • brainly.com/question/8955867

#LearnwithBrainly

4 0
3 years ago
Other questions:
  • Jeremy has a weekend job as a soccer referee. One weekend, he earns $140 by working 4 games. Another weekend, he earns $210 by w
    13·1 answer
  • A fourth of the quantity 8 less than 12 times a number y is greater than 22.
    13·1 answer
  • Let Xn be the random variable that equals the number of tails minus the number of heads when n fair coins are flipped. What is t
    9·1 answer
  • What is CPCT in maths?​
    13·1 answer
  • What is the sum to this equation ?pl
    6·2 answers
  • The length of a rectangle is three inches shorter than four times the width. If the perimeter of the rectangle is 96 inches, det
    9·1 answer
  • If a student receives 86 text messages during this class, how many text messages did he or she receive per minute?
    7·1 answer
  • Please help?!?!?!
    5·1 answer
  • If f(x) = 1/x^2 -1, then f(1/a+1)=
    11·1 answer
  • In the month of May 2019, Norfolk International Airport
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!