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
den301095 [7]
3 years ago
11

Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.

Mathematics
1 answer:
hjlf3 years ago
5 0

Answer:

x ∈ (-∞ , -2) ∪ (1, 3)

Step-by-step explanation:

The expression is already factored. Note that for the polynomial that appears in the numerator (x-3)(x + 2) there are 2 roots:

x = 3\\x = -2

For the polynomial that appears in the denominator there is 1 root:

x = 1

Note that x = 1 does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.

With these three roots we do the study of signs to find out when f(x)

Observe the attached image

Note that:

(x-3) when x

(x + 2) when x

(x-1) when x

Finally, we have the solution:

x ∈ (-∞ , -2) ∪ (1, 3)

You might be interested in
one serving of oatmeal provides 16% of fiber you need daily. you must get the remaining 21 grams of fiber from other resources.
stira [4]
1 - 0.16 = 0.84
21/0.84 = 25
25 grams of fiber should be consumed daily.
3 0
3 years ago
** 30 POINTS ** <br><br> Anyone got an idea for 7 and 8?
Harrizon [31]
7. i would guess 95-100 people were surveyed. the way you estimate this is by adding the number of students in each category. ex. about 3 in the first bar, about 9 in the next
8. no, you could not list the exact height because the data given only shows the number of students in between 75-80, not their actual height.
5 0
2 years ago
B +2.01 =5.5 what dose b equal
Rom4ik [11]

Answer:

3.49

Step-by-step explanation:

B = 5.5-2.01 = 3.49

have a great day!

6 0
3 years ago
Read 2 more answers
Whatvis the standard form of two hundred ten million sixty four thousand fifty?
Flauer [41]
210,064,050 is your answer
4 0
3 years ago
Y= (x-1)^2 + 2 <br><br> change this equation into standard form
BaLLatris [955]

Answer:

x² - 2x + 3

Step-by-step explanation:

y = (x - 1)² + 2

= (x - 1)² + 2 [a - b]² = <em><u>a²- 2ab + b²</u></em>

= x²- 2x + 1 + 2

= x² - 2x + 3

Thus, the standard form of the equation is x² - 2x + 3

8 0
2 years ago
Other questions:
  • PLEASE HELP!! I do not understand this. And can you explain it for me when I use it again?
    5·1 answer
  • Helppppp pleaseeee!!!
    5·2 answers
  • I have a question for yall, im doing a sample work in geometry and its like this
    8·1 answer
  • Find the area of the parallelogram with vertices: P(0,0,0), Q(-4,3,-1), R(-4,2,-2), S(-8,5,-3).
    9·1 answer
  • The highest mountains in the world are the Himalayas, at the border between the Indian and Eurasian plates. The Himalayas formed
    11·1 answer
  • Write an expression for the sequence of operations. <br> Subtract 4 from x, double, and add 8.
    14·1 answer
  • Nicholas used a \$10$10dollar sign, 10 bills to pay for a granola bar that only costs p dollars.
    5·1 answer
  • Please help n show work
    13·1 answer
  • HELP!
    14·2 answers
  • Please help asap!!!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!