Answer:
Step-by-step explanation:
We are given 2 fractions.
1st fraction is Negative StartFraction 3 over 8
i.e.
2nd fraction is negative one-fourth
i.e.
We have to find the quotient when 1st fraction is divided by 2nd fraction.
<u>Definition</u> of quotient is given as:
Quotient is the result obtained when one number is divided by other number.
is converted to 
and the 2nd fraction is reversed i.e.
if the fraction is 
it becomes 
and the sign is changed to .
Solving above:
So, the quotient is 
.
Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:
Horizontal asymptote at y = 0.
<h3>What are the horizontal asymptotes of a function?</h3>
They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.
Researching this problem on the internet, the functions are given as follows:
.
The limits are given as follows:
Hence, the correct statement is:
Horizontal asymptote at y = 0.
More can be learned about horizontal asymptotes at brainly.com/question/16948935
#SPJ1
Answer:
Step-by-step explanation:
Solve this by using natural logs. Taking the natural log of both sides:
To undo the multiplication, we use addition:
The rule says we can now bring the exponent down in front of the ln:
Now we will subtract ln(7) from both sides:
(8x - 8)ln(16) = ln(3) - ln(7)
Now we will divide both sides by ln(16):
then add 8 to both sides:
which simplifies to
8x = 7.694401895 so
x = .9618002368 or, rounded,
x = .96
(Rest assured I did the math and checked the answer and it checked out perfectly!) I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)
