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
Gala2k [10]
2 years ago
14

Which statement is true about the discontinuities of the function f(x)?

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

  (a)  There are asymptotes at x=3/2 and x=-1/3

Step-by-step explanation:

The denominator zeros can be found by factoring:

  f(x) = (x +1)/((2x -3)(3x +1))

Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.

The asymptotes are at the values of x where the denominator is zero:

  2x -3 = 0   ⇒   x = 3/2

  3x +1 = 0   ⇒   x = -1/3

You might be interested in
Please help me ASAP
lutik1710 [3]

9514 1404 393

Answer:

  30°

Step-by-step explanation:

Consecutive interior angles are supplementary when the lines are parallel:

  2x +4x = 180°

  x = 180°/6

  x = 30°

_____

<em>Comment on units</em>

A lot of times the angles are assumed to be measured in degrees. Using that assumption, x=30 (degrees). When no units are specified, the angle measure defaults to radians. In radians, x = π/6. (We rarely see problems of this nature where the angles are expected to be measured in radians. More often, we see poorly edited questions where angles need to be assumed to be measured in degrees.)

8 0
3 years ago
Write the series using summation notation. Then find the sum of the series.
ivolga24 [154]

Hello, please consider the following.

\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78

For the second we will need to put on the same denominator.

\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...

Thank you.

3 0
3 years ago
The sum of three consecutive counting numbers is 15 more than the greatest
Alex777 [14]

Answer:

9

Step-by-step explanation:

x+x+1+x+2 = 15+x+2

3x+3=x+17

3x=x+14

2x=14

x=7

7+8+9=24

9+15 = 24

7 0
3 years ago
SOLOVE THIS QUESTION PLSS
pantera1 [17]

Answer:

positive its 18 feet

Step-by-step explanation:

5 0
2 years ago
I’ve been at these questions all day. Please help
Phantasy [73]

Answer:

தமிழ்நாட்டில் உள்ள நெல் வகைகளை குறிப்பிட்டு எழுதுக

7 0
2 years ago
Read 2 more answers
Other questions:
  • PLZ HELP.
    13·1 answer
  • 2. Perform the calculations 11540+5972 in BCD arithmetic.
    13·1 answer
  • What is 52% of 25?
    15·2 answers
  • What is the range of this set of data? 111, 97, 63, 84, 100, 119, 72
    11·2 answers
  • What is the value of 3x^2+5x+25 when x=3
    12·1 answer
  • Help me !!! Please someone
    5·1 answer
  • Simplify the expression <br>(2x-6) - (4x+4)​
    5·1 answer
  • Find the equation of the linear function represented by the table below in slope
    5·1 answer
  • Find the sum of the first 10 terms 0.5,0.9,1.3,1.7,..
    7·1 answer
  • Find the value of x. Round the length to the nearest tenth.<br><br> ANSWER: A)7.2 ft
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!