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Inessa05 [86]
4 years ago
10

What is the asymptote for the function g(x) = 400(.75)^x

Mathematics
1 answer:
SSSSS [86.1K]4 years ago
7 0

Answer:

y = 0

Step-by-step explanation:

This function is a "decaying exponential," which is evident because the common ratio, 0.75, is between 0 and 1.

As x increases, the graph approaches y = 0 from above, but never touches y = 0 (the x-axis).  Thus, y = 0 is the horizontal asymptote.  No vertical asymptote here.

You might be interested in
you are given numbers, {30 + n, n/3, square root n+16}. Find the smallest value of n so that all of the numbers in the set are n
Juli2301 [7.4K]
<h3>Answer:   n = 9</h3>

========================================================

Explanation:

Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get

  • 30+n = 30+0 = 30
  • n/3 = 0/3 = 0
  • sqrt(n+16) = sqrt(0+16) = 4

The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.

So we can't use n = 0.

Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.

If n = 9, then,

  • 30+n = 30+9 = 39
  • n/3 = 9/3 = 3
  • sqrt(n+16) = sqrt(9+16) = 5

We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.

7 0
3 years ago
Mark has 312 books in his bookcases. He has 11 times as many fiction books as nonfiction books. How many fiction books does Mark
tankabanditka [31]
With the information given we can wirte down 2 different equations where:
x = How many Fictoon books there are
A nd y = How many non-fiction books there are :
#1) x + y = 312
( The total of the books is 312 )

#2) x = 11y
(He has 11 times as many firction books as he has non-ficton books)

Now what we need to do is to isolate one the variables ( x or y ) , get its value and apply to one the equations to get the other variable's value:
We can do that by the property of substitution:

If x = 11y
then x + y = (11y) + y = 12y

If x + y = 312
and x + y = 12y
then 12y = 312

Now with the equation 12y = 312 , we can isolate y by dividing both sides of the equation by 12 :
12/12y = 312/12
y = 26
What that means : Mark has 26 non-fictional books.

Now that we have the value of y , we can find the value of x by plugging y to one of the equations :

x + y = 312
or
x = 7y
( I will do both , but you dont need to )

x + y = 312
Plugin 26 for y :
x + 26 = 312

Shift 26 to the other side of the equation by subtracting both sides of the equation by 26:
x + 26 - 26 = 312 - 26
26 - 26 cancel out , so we end up with :
x = 286

Second Equation :
x = 11y
Plugin 26 for y:
x = 11 × 26

x = 286

Awnser : Mark has 286 fictoon books and 26 non-fiction !

I hope you understood my brief explanation. And please consider marking this awnser as Branliest. Thank you ! :)
5 0
4 years ago
What is the solution to this equation 2 x plus 10 = 28
TiliK225 [7]

Answer:

x=9

Step-by-step explanation:

2x+10=28

2x=18

x=9

8 0
3 years ago
Read 2 more answers
ANSWER ASAP FOR BRAINLIESTT
Alika [10]
It was really fun 4639
4 0
3 years ago
A chemical reaction took 7380 seconds. How many did the reaction take? If necessary, round your answer to the nearest hundredth
Radda [10]
<em>It took about 2.05 hours!
its already round to the nearest hundredths of an hour
 </em>
6 0
3 years ago
Read 2 more answers
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