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
MA_775_DIABLO [31]
3 years ago
14

I need help with this

Mathematics
1 answer:
andre [41]3 years ago
8 0

Answer:

  f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}

Step-by-step explanation:

Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.

__

Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².

__

Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).

__

Taken altogether, these factors give us the function ...

  \boxed{f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}}

You might be interested in
39 is 5% of what number
hjlf
To find this out:
Turn the percent into a fraction and cross multiply!

5%=5/100

5 39
_ × ____
100


Multiply 39 × 100 (3,900)
Then divide by 5!
3900/5=780

39 is 5% of 780!
4 0
3 years ago
caleb wants to rent a kayak. Kayak rental cost 14.50 for a half hour.If caleb rents a kayak for one hour and forty-five minutes.
jolli1 [7]
50.75
you multiply 14.50 times 3.5
 the reason why it is 3.5 is because there are two half hours in one hour, and another half hour plus 15 minutes ( which is half of a half hour)
i hope this is clear!!
good luck!!
6 0
3 years ago
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
ryzh [129]

Answer:

2

Step-by-step explanation:

The scale factor is 2 because every aspect of figure a doubled.

6 0
3 years ago
Read 2 more answers
31.75 as a improper and mixed fraction
Aleksandr [31]
31.75 as an improper fraction is 127/4. The mixed number fraction is 31 3/4.
3 0
3 years ago
According to this diagram, what is tan 62 degrees ?
sammy [17]
Check the picture below

in case you want to know how to get who's the adjacent or opposite, notice in the picture, if you put your eye on the angle itself, what you'd be facing is the opposite side, the adjacent is the side touching the angle.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the pay earned? of 33 hours at $5.15 per hour
    12·1 answer
  • A swim race has a total distance of 25 mi . Race officials want to mark the course every 500 yd with a buoy, including one at th
    8·1 answer
  • W/18=3<br> I don't understand
    15·2 answers
  • For each table of values, select whether the table represents a linear or exponential relationship. Please help 10 points for th
    15·1 answer
  • Which two ratios form a proportion? A) 4 20 and 1 5 B) 4 20 and 2 5 C) 20 4 and 1 5 D) 20 4 and 2 5
    5·2 answers
  • Mattias bought 6.5 lb of fruit for $8.06. what was the unit price?
    8·1 answer
  • Is this equation true, false, or open<br><br> 4y+8=6y+3
    9·1 answer
  • If the circumference equals 40 pi inches, what is the radius?
    5·1 answer
  • An equation is shown.
    5·2 answers
  • 1.<br> Y = C/X<br> Solve for x<br><br> 2.<br> C/5 = (F-32)/9 <br> If C=25, solve for F
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!