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
Novosadov [1.4K]
4 years ago
12

Identify the holes, vertical asymptotes and horizontal asymptotes of f(x)=x²+7x+12/-x²-3x+4

Mathematics
1 answer:
faust18 [17]4 years ago
8 0
<h3>Answer:</h3>
  • hole: x = -4
  • vertical asymptote: x = 1
  • horizontal asymptote: y = -1
<h3>Step-by-step explanation:</h3>

The function factors as ...

... f(x) = -(x+3)(x+4)/((x-1)(x+4)) = -(x+3)/(x-1) . . . . x ≠ -4

and the quotient is ...

... f(x) = -(1 +4/(x-1))

... f(x) = -1 -4/(x-1) . . . . . x ≠ -4

This has a hole at x = -4 (where the denominator factor cancels the numerator factor), a vertical asymptote at x=1 (where the denominator is zero), and a horizontal asymptote at y = -1 (the value of the function for large values of x).

You might be interested in
Need Help help me plz ;(
omeli [17]
So in order to solve you must first combine like terms.
-2y + 2y + 3 = 3
0 + 3 = 3
Subtract 3.
0 = 0
The answer is infinate solution because both numbers are the same.
I hope this helps love! :)
7 0
3 years ago
Solve 3/2 x 10/3. Simplify if possible.
marshall27 [118]
<span>3/2 x 10/3
=> 3*10/2*3  ( multiply numerators and denominators .....)
=> 30 / 6
=> 5 /1 = 5 

Hope it helps !!!</span>
7 0
3 years ago
What's the answer ???????
Tatiana [17]
A²+b²=c²
64+b²=196
b²=132
b=11.48912529
8 0
4 years ago
Help me please !!!
Nat2105 [25]

Answer:

For 3x^2+4x+4=0

Discriminant= = -32

The solutions are

(-b+√x)/2a= (-2+2√-2)/3

(-b-√x)/2a= (-2-2√-2)/3

For 3x^2+2x+4=0

Discriminant= -44

The solutions

(-b+√x)/2a= (-1+√-11)/3

(-b-√x)/2a= (-1-√-11)/3

For 9x^2-6x+2=0

Discriminant= -36

The solutions

(-b+√x)/2a= (1+√-1)/3

(-b-√x)/2a= (1-√-1)/3

Step-by-step explanation:

Formula for the discriminant = b²-4ac

let the discriminant be = x for the equations

The solution of the equations

= (-b+√x)/2a and = (-b-√x)/2a

For 3x^2+4x+4=0

Discriminant= 4²-4(3)(4)

Discriminant= 16-48

Discriminant= = -32

The solutions

(-b+√x)/2a =( -4+√-32)/6

(-b+√x)/2a= (-4 +4√-2)/6

(-b+√x)/2a= (-2+2√-2)/3

(-b-√x)/2a =( -4-√-32)/6

(-b-√x)/2a= (-4 -4√-2)/6

(-b-√x)/2a= (-2-2√-2)/3

For 3x^2+2x+4=0

Discriminant= 2²-4(3)(4)

Discriminant= 4-48

Discriminant= -44

The solutions

(-b+√x)/2a =( -2+√-44)/6

(-b+√x)/2a= (-2 +2√-11)/6

(-b+√x)/2a= (-1+√-11)/3

(-b-√x)/2a =( -2-√-44)/6

(-b-√x)/2a= (-2 -2√-11)/6

(-b-√x)/2a= (-1-√-11)/3

For 9x^2-6x+2=0

Discriminant= (-6)²-4(9)(2)

Discriminant= 36 -72

Discriminant= -36

The solutions

(-b+√x)/2a =( 6+√-36)/18

(-b+√x)/2a= (6 +6√-1)/18

(-b+√x)/2a= (1+√-1)/3

(-b-√x)/2a =( 6-√-36)/18

(-b-√x)/2a= (6 -6√-1)/18

(-b-√x)/2a= (1-√-1)/3

6 0
4 years ago
Help please I don’t understand this question!!!
icang [17]
To find the mean add up all the numbers and divide. The mean absolute deviation is the difference.
3 0
3 years ago
Other questions:
  • Delaney put a $720 item on layaway by making a down payment of 12% of the purchase price. How much does she have left to pay aft
    15·2 answers
  • What is the length of the actual dining room?
    7·1 answer
  • Alexa has, 2 nickels, 1 quarter, and 3 pennies. How much money does she have?
    10·2 answers
  • Jared is putting a new deck off the kitchen. The deck will be 94.45 inches deep. He will use 16 boards that are each 5.7 inches
    8·1 answer
  • BRAINLIEST please help?
    6·1 answer
  • two trains depart Charlotte at the same time. one train heads North at 60 mph. there other train heads South at 40 mph. after 4
    7·1 answer
  • I NEED ANSWER TO ALL PARTS ASAP! PLEASE!
    15·1 answer
  • Find the result when 7x + 12 is subtracted from 11x – 10.<br> -<br> We have to use distributing
    13·2 answers
  • Find the value of the expression below if I = 10.<br> z? – 2 (x + 5) =
    5·1 answer
  • A train leaves at 11:32 and arrives at 13:24. It travelled at an average speed of 85 km/h.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!