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
Cloud [144]
2 years ago
7

If f(x)f(x) is an exponential function where f(-1)=5f(−1)=5 and f(7)=32f(7)=32, then find the value of f(4)f(4), to the nearest

hundredth
Mathematics
1 answer:
Whitepunk [10]2 years ago
5 0

Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.

<h3>What is an exponential function?</h3>

It is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, we have that f(-1)=5, hence:

5 = ab^{-1}

\frac{a}{b} = 5

a = 5b

We also have that f(7)=32, hence:

32 = ab^7

Since a = 5b:

5b^8 = 32

b = \sqrt[8]{\frac{32}{5}}

b = 1.2612.

a = 5b = 5 x 1.2612 = 6.306.

Hence the function is given by:

y = 6.306(1.2612)^x

Then, when x = 4, we have that:

y = 6.306(1.2612)^4 = 15.95

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

You might be interested in
A local magazine sells space for ads. It charges advertisers according to the fraction of a page purchased. Advertisers purchase
Novay_Z [31]

Answer:

3/16 of page 20

Step-by-step explanation:

1/8 = 2/16

2/16 + 1/16 = 3/16

6 0
2 years ago
In a horse race with 5 horses, you make a bet by predicting the ranking of all 5 horses. Suppose you place your bet at random. W
lapo4ka [179]

Answer:

P( top two horses are predicted incorrectly in incorrect order)

= \frac{1}{2}

Step-by-step explanation:

In the horse race the outcome can be predicted in 5! = 120 ways.

Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the  top horse can be predicted incorrectly in 4 ways.

Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5

so the second horse can be predicted to be in place from 1 to (k - 1)

So, the top two horses can be predicted  incorrectly in incorrect order

in \sum_{k =2}^{5}(k - 1) = 10 ways  

and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.

Hence ,

P( top two horses are predicted incorrectly in incorrect order)

= \frac{6 \times 10}{120}

=\frac{1}{2}

 

8 0
2 years ago
Complete each statement in the steps to solve x2 – 4x + 3 = 0 using the process of completing the square.
My name is Ann [436]
(x - 3)(x - 1)

x = 3 
or 
x = 1
8 0
3 years ago
What would be the answer to 4j + j - 4 &lt; -9
Tresset [83]

<em>HOPE</em><em> </em><em>THIS</em><em> </em><em>WILL</em><em> </em><em>HELP</em><em> </em><em>U</em><em>.</em><em>.</em><em>.</em>

6 0
3 years ago
Read 2 more answers
25 and 65 thousands as a decimal
slava [35]
The answer would be 25.65
6 0
3 years ago
Read 2 more answers
Other questions:
  • A bag contains hair ribbons for a spirit rally.The bag contains 3 black ribbons and 12 green ribbons.Lila selects a ribbon at ra
    14·2 answers
  • 20 POINTS AND BRAINIEST ANSWER! PLEASE HELP!!!
    7·1 answer
  • What is the length of side BC of the triangle?<br><br><br><br> Enter your answer in the box.
    6·2 answers
  • Evaluate the function below given f(2) f(x)=3x-10
    6·1 answer
  • How is -6.1 wrote in fraction form​
    6·2 answers
  • How much more popcorn does the bigger box hold than the smaller box??
    12·2 answers
  • Can somebody help me?​
    10·1 answer
  • Can someone help me find the adjacent angle pair and tell me if I did the vertical angle pairs right
    7·1 answer
  • 1/2 w + 2 ; w = 1/9 what is the answer because i have been on this problem for an hour
    14·2 answers
  • Please help ! <br><br> -9v-6+7v=6 <br> what is v?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!