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
timama [110]
3 years ago
13

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).

Mathematics
1 answer:
Phoenix [80]3 years ago
8 0

Answer:

y=20(2)^x

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

y=ab^x

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

20=a(b)^0

Simplify:

20=a(1)\Rightarrow a=20

So, our exponential function is now:

y=20(b)^x

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

1280=20(b)^6

Solve for <em>b</em>. Divide both sides by 20:

64=b^6

Therefore:

b=\sqrt[6]{64}=2

Hence, our function is:

y=20(2)^x

You might be interested in
Suppose a certain series of gymnastic moves takes 35 seconds to complete. If a gymnast does that series seven times in a row, ho
Sophie [7]

Answer:

  4 minutes 5 seconds

Step-by-step explanation:

Without additional information, we have to assume that one sequence can begin immediately after another, and that each takes the same amount of time. The total time for 7 sequences is 7 times the time for one sequence.

  7 × 35 seconds = 245 seconds = 4 minutes 5 seconds

__

There are 60 seconds in a minute.

5 0
3 years ago
Please tell me how can i find x without calculator ?
gtnhenbr [62]
I hope this helps you

3 0
3 years ago
Classify the following triangle. Check all that apply.
Arlecino [84]
Scalene,Acute i think it is haha
5 0
3 years ago
Read 2 more answers
Pls show work I need the work. Thx
Ainat [17]
Sorry i can’t quite see the image can you do another one
5 0
2 years ago
Copland competes in 27 swimming events this season. He wins either first place or second place in each event. Copland has 3 more
marysya [2.9K]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • im too lazy to answer my sister questions (its easy but I got something else to do) do all multiplication all way to 12
    14·2 answers
  • 0.105<br> B. 0.501<br> C. 0.015<br> D. <br> Which of the following is the least?
    13·2 answers
  • Write an equation for a direct variation that includes the point 4 16​
    12·1 answer
  • What is the solution to the equation to 0.5x+3.5=6
    10·1 answer
  • Let f(x)=x^2-2x-4
    14·1 answer
  • An electronics store sold 4% of computers that were on sale if only 12 computers were sold how many computers were not sold
    11·1 answer
  • 4 – (2x + 5) = (–4x – 2)
    7·2 answers
  • Will has 49 stickers to put on his 6 folders. If he puts an equal number of stickers
    15·1 answer
  • The picture is up there thank you:))
    13·1 answer
  • Flying against the wind, an airplane travels 3920 kilometers in 8 hours. Flying with the wind, the same plane travels 5580 kilom
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!