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:
<h2><u><em>
TRUE</em></u></h2>
Step-by-step explanation:
Will it collect 80 half-liter bottles in a 50-liter barrel
True False
80 half-liter = 40 liters
50 - 40 = 10 liters
the answer is TRUE
15 because 4 + 11 equals 15
Answer:
I’m afraid I, nor anyone else, can answer this, as this has no question content. Because of that, it is violating Brainly’s Community Guidelines, and will sadly be reported. If you decided to edit this, or create another question with an actual question, I’d be happy to answer.
Set it up as a proportion problem. $2.10 is to x pounds as $3.50 is to 1 pound
=$2.10/x pounds= $3.50/1 pound
Cross multiply
=($2.10 * 1)=($3.50 * x)
=2.10=3.50x
Divide both sides by 3.50
0.6= x
x= 0.6=6/10= 3/5
He can purchase 0.6 (or 3/5 in fraction terms) pounds for $2.10.
Hope this helps! :)
