q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 1
AURORKA [14]
According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
<h3>What is the behavior of a functions close to one its vertical asymptotes?</h3>
Herein we know that the <em>rational</em> function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are <em>vertical</em> asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see <em>evitable</em> and <em>non-evitable</em> discontinuities:
q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)
q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]
q(x) = (x - 3) / (x - 5)
There are one <em>evitable</em> discontinuity and one <em>non-evitable</em> discontinuity. According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
To learn more on rational functions: brainly.com/question/27914791
#SPJ1
Answer: C. 4 friends will borrow 4 books each, 1 friend will borrow 3 books
Step-by-step explanation:
Friend 1 has 4 books
Friend 2 has 4 books
Friend 3 has 4 books
Friend 4 has 4 books
So far, that’s a total of 16 books.
Now add the 3 books of the 5th friend to that:
16 + 3 = 19
This is the way in which a group of friends can most evenly divide the 19 books.
pls mark brainliest if this helped. :)
Your answer is going to be 23/22
Answer:
k =3
Step-by-step explanation:
-3k-2k+12 = 2k-9
-5k+12 = 2k -9
Add 5k to each side
-5k+5k+12 = 2k+5k-9
12 = 7k-9
Add 9 to each side
12 +9 = 7k-9+9
21 = 7k
Divide each side by 7
21/7 = 7k/7
3 =k
Total = 24 times (1/8) mile
= 24 * (1/8) = 3
Total = 3 miles.
