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
polet [3.4K]
3 years ago
8

Give a possible formula for the function below. Let A = (-1, 32) and B = (1, 8). (Note: Use the general exponential function.)

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0
The question ask to find and compute the possible formula for the function below where as A = (-1,32) and B= (1,8).  In my own calculation and further computation about the problem and also following the rule of general exponential function, the formula would be y = a*(b^x). I hope this would help 
Svetach [21]3 years ago
3 0

Step-by-step explanation:

Let the equation is y = ab^x  ............ (1)

Putting the values of point A in equation (1) as follows.

                  y = ab^x

                  32 = ab^(-1) ........... (2)

Putting the values of point B in equation (1) as follows.

                  y = ab^x

                  8 = ab^(1) ................ (3)

Now, divide the equation (2) by equation (3) as follows.

            \frac{32}{8} = \frac{ab^(-1)}{ab^(1)}

Cancelling out with common factors, the equation will be written as follows.

             4 = \frac{b^{-1}}{b^1}

             4 = \frac{1}{b^1 \times b^{1}}

             4 = \frac{1}{b^2}

or,          b^{2} = \frac{1}{4}

Taking square root on both the side, we get

               b = ± \frac{1}{2}

Case 1. Place the value of b = +\frac{1}{2} in equation (3) as follows.

            8 = ab^1

            8 = a(\frac{1}{2})^{1}

            8 \times 2 = a

                      a = 16

Case 2. Place the value of b = -\frac{1}{2} in equation (3) as follows.

             8 = ab^1

                  8 = a \times (\frac{-1}{2})^{1}

            - 8 \times 2 = a

                      a = - 16

You might be interested in
Which expression is equal to
AfilCa [17]

Answer:

4 to the -4 power

Step-by-step explanation:

multiply the 4's and add the exponents. then divide by 4 and divide by that exponent

3 0
3 years ago
The first day of the food drive missed easily for cans of beans 7 boxes of noodles and for cans of soup. Find the ratio of cans
DochEvi [55]
There is only the number 7 in this question I can’t really help with one number
8 0
3 years ago
What is the answer plz?
Studentka2010 [4]

Answer:

read the explanation

Step-by-step explanation:

the first one is positive 24 and the second one is -2

8 0
3 years ago
Read 2 more answers
Identify the length of line BA. <br><br><br> A) 12.6<br> B) 5.6<br> C) 22.4<br> D) 8.8
Zielflug [23.3K]

Answer:

B). 5.6

Step-by-step explanation:

3.2/x = 4/7

Then, cross-multiply

4x = (3.2) 7

4x = 22.4

x = 5.6

3 0
3 years ago
Two classes are planning to go on a field trip together. One clas with 18 students is being joined by 6 boys and 11 girls from a
Serjik [45]

Answer: The boys made up 6b of the original class.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the value of the rational expression below when x is equal to 4? x-12/x-8
    15·1 answer
  • Ms. Graves gave her class 124 minutes to read. Carrie read 5 and a 1/2 pages in that time. At what rate, in pages per ¼ of a day
    7·1 answer
  • What is two-thirds of a number and eight please help me with this problem please please help me
    5·1 answer
  • Need answer to this, step by step if possible. if not, just send the equation<br><br> POINTS
    11·1 answer
  • Which equation is nonlinear?
    15·2 answers
  • 4 elevado a la 2 por 4 elevado a la 5
    15·1 answer
  • Micah is buying gravel for a rock garden that will be edged by a circular metal border. She will use 110 feet of metal edging fo
    14·1 answer
  • Please help its my last question
    5·1 answer
  • Sarah was helping her mom plant flowers and together they planted 48 seeds. If they put 6 seeds in each flower bed, how many flo
    13·2 answers
  • ( a+b )^2 = ...........................
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!