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
Hello can you please help me posted picture of question
olga2289 [7]
The area of the spinning board is divided into 10 equal sections. 

Probability in this case will be = Area of favorable outcome/Total Area

Let the total area be A.
Area of each section will be A/10

So probability of landing on 3 will be = (A/10) / A = 1/10

So the correct answer will be option C
4 0
3 years ago
The cost of a car rental is ​$30 per day plus 18c per mile. You are on a daily budget of ​$75. Write and solve an inequality to
Tanzania [10]

Answer:

2. 5 miles

Step-by-step explanation:

Given that:

Rental cost = $30

Cost per mile driven = 18 cent

Daily budget = $75

Greatest distance you can drive each day while staying within budget :

Rental cost + (cost per mile driven * distance) ≤ daily budget

$30 + 18d ≤ $75

18d ≤ 75 - 30

18d ≤ 45

d ≤ 45 / 18

d ≤ 2.5

Greatest distance you can drive each day while staying within budget is 2.5 miles.

8 0
3 years ago
Determine algebraically whether the given function is even, odd, or neither.
uranmaximum [27]
To check whether a function is odd or even, we simply substitute the argument by its negative version, namely "x" by "-x".

if the expression simplifies to resemble the original expression, that simply means the expression is even.  If it resembles the original negative expression, is odd.

\bf g(x)=-2x^3-9\\\\
-------------------------------\\\\
\stackrel{x=-x}{g(-x)}=-2(-x)^3-9\implies g(-x)=-2(-x)(-x)(-x)-9
\\\\\\
g(-x)=+2(x)(x)(x)-9\implies g(-x)=2x^3-9

 well, that doesn't look like the original - 2x³ - 9, so is not even.

and -f(x) would be 2x³ + 9, and that doesn't look like either, so is not odd.

thus is neither.
7 0
4 years ago
A rectangular prism has a length of 13 feet, a height of 2 feet, and a width of 4 feet. what is its volume, to the nearest, in c
ioda

Answer:104ft^3

Step-by-step explanation:

volume=length x width x height

Volume=13 x 4 x 2

Volume=104ft^3

5 0
3 years ago
The measure of one angle of a right triangle is 56∘ more than the measure of the smallest angle. Find the measure of the smalles
GrogVix [38]

Answer:

The sum of all angels for any triangle equals 180°

so we have a right triangle which means we have an angle equals 90° ,angle equals=56°.

step by step

180 - 56 - 90 = 34

so the angle tends to equal 34°.

7 0
3 years ago
Other questions:
  • Which expressions simplifies to a negative number? (-1) three times , (-1) two times, (-1) four times, or (-1) five times??​
    12·2 answers
  • What is the effect of adding a constant to a trigonometric function
    10·1 answer
  • Maureen budgets $1420 each month for fixed expenses. what percent of her net monthly income is that if she nets $2200 semimonthl
    11·1 answer
  • The following group of values was entered into the TVM Solver of a graphing
    5·2 answers
  • On a field trip, students ate 3/10 of a box of oranges.Altogether they ate 6 pounds of oranges. How many pounds of oranges were
    12·1 answer
  • I’ll give brainiest pls help ASAP :)
    13·1 answer
  • A rectangular prism had a volume of 198 cubic centimeters. The height of this prism was changed
    6·1 answer
  • Can someone help I don’t know
    13·2 answers
  • PLEASE HELP I DONT KNOW
    9·1 answer
  • Find the slope of the lines graphed please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!