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
RoseWind [281]
3 years ago
14

Which of the following exponential functions goes thru points (1,6) and (2,12)

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer:

Noting that e^b = 6/a

Step-by-step explanation:

Use the general expo function y = ae^(bx).

Subbing 6 for y and 1 for x, we get  6 = ae^(b), or   e^b = 6/a.

Subbing 12 for y and 2 for x, we get   12 = ae^(2b), or 12/a = (e^b)²

Now let's find the value of the coefficient a.  Noting that e^b = 6/a, rewrite

12/a = (e^b)² as 12/a = (6/a)².

Dividing both sides by 6/a, we get 2 = 6/a, or a = 3.

Again Noting that e^b = 6/a, e^b = 6/3, or e^b = 2.

Taking the natural log of both sides, we get b = ln 2.

Then our y = ae^(bx) becomes:

                y = 3e^(ln 2·x), or   y = 3·2^x

Note:  next time, please share the answer choices.  Thank you.

You might be interested in
Pretty sure its 8 but i just wanna be sure...
Agata [3.3K]

Answer:

Yup i'm pretty sure its 8 :D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You push your younger sister on a swing one time and then allow your sister to
Ber [7]

Answer:

My sister will swing the total distance = 40 feet

Step-by-step explanation:

On the first swing my sister travels a distance of 8 feet.

In every successive swing she travels 80% of the distance of the previous distance.

So the sequence formed by the distance traveled in every swing will be a geometric sequence.

First term of the sequence 'a' = 8 feet

common ratio 'r' = 0.80

Since this sequence is an infinite geometric sequence,

Sum of this sequence = \frac{a}{(1-r)}  [Since r < 1]

                                     = \frac{8}{1-0.8}

                                     = \frac{8}{0.2}

                                     = 40 feet

Therefore, my sister will cover the total distance = 40 feet

7 0
3 years ago
I hope you can see but can somebody please help me with this?
marysya [2.9K]

Answer:

c find the value

Step-by-step explanation:

plz workout

3 0
3 years ago
(11n - 3n) - n<br><br> Help plz desperate
Arlecino [84]

Answer: 7n

Step-by-step explanation:

Because....

First Remove the parentheses (a) = a

= 11n - 3n - n

Then add similar elements: 11n - 3n - n = 7n

= 7n

* Hopefully this helps:) Mark me the brainliest:)!!

~ 234483279c20~

8 0
3 years ago
Read 2 more answers
Roger spend 3/4 of his allowance at the mall. Of the money spent at the mall, 5/6 was spent on new shoes. What part of his allow
Hitman42 [59]

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.^{}ly/3a8Nt8n

8 0
3 years ago
Other questions:
  • A new truck that sells for $25,000 depreciates (decreases in value) 11% each year. What will be the value of the truck in 2 year
    7·2 answers
  • Find the solution when x=2 and y=6<br> x(7+ y) - 5
    14·1 answer
  • Savannah loves predicting the weather. It has been record hot temperatures all week. she is predicting that the weather temperat
    11·1 answer
  • Simplify square root. BRAINLIEST! Help asap! (For the 2nd one, i accidentally clicked 9 so just act like there is no yellow)
    14·1 answer
  • What is the area of the figure?
    11·2 answers
  • Someone pls help this is a timed quiz
    11·1 answer
  • The ratio of red pens to black pens is 2:9, the ratio of black pens to blue pens is 5:4. Show less than 50% of the pens are blac
    7·1 answer
  • Answer ASAP with explanation and will give brainlist
    7·1 answer
  • It costs 30 dollars per month for a cell phone plus 10 dollars for every GB of data.Which expression can be used to represent th
    14·1 answer
  • Sec6A - tan6A = 1+3tan2A.sec2A
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!