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
FromTheMoon [43]
3 years ago
6

What is the solution of x^2+x-6/x-7<0

Mathematics
2 answers:
Ivenika [448]3 years ago
7 0

Answer:

the solution of the equation is: (-\infty,-3)\cup (2,7)

Step-by-step explanation:

we are given the expression as \frac{x^2+x-6}{x-7}

=\frac{(x-2)(x+3)}{(x-7)}

we will use the number line rule for inequalities(first by making the coefficients of x positive then taking the roots on the number line and depending on the sign in the equation we start taking alternate signs and depending on the inequality take the desired region)

we get (-\infty,-3)\cup (2,7).


densk [106]3 years ago
4 0

Answer:

The solution is (-\infty,-3)\cup (2,7)  

Step-by-step explanation:

Given the inequality

\frac{x^2+x-6}{x-7}

we have to find the solution of the above inequality.

\frac{(x-2)(x+3)}{x-7}

The solution is x=2, x=-3 for (x-2)(x+3)=0

The domain for the above inequality is (-\infty,7)\cup (7,\infty)

we use the number line rule for inequalities (first by making the coefficients of x positive then taking the roots on the number line and depending on the sign in the equation we start taking alternate signs and depending on the inequality take the desired region)

we get,

(-\infty,-3)\cup (2,7)  

   

You might be interested in
I don’t know the answer Someone pls help
Orlov [11]

Answer:

Ye you got it right

Step-by-step explanation:not that hard

ITS RIGHT

4 0
3 years ago
Read 2 more answers
What is the smallest integer greater than the square root of 68?
Talja [164]
This question is essentially just determining whether you understand the definition of integers and square roots. The square root of a quantity is a number that when multiplied with itself gives that quantity. The square root of 68 is expressed as:

√68 = 8.25

The square root of 68 is roughly 8.25. Now, an integer is simply a whole number, which is a number that is not a fraction. Therefore, the smallest integer that is greater than 8.25 is simply the next whole number, which is 9.

The smallest integer greater than the square root of 68 is 9.
7 0
3 years ago
Read 2 more answers
help me please if you don't answer correctly as in : jkfbijdfnjdfnvkdnf or i dont know but i hope that you find ur answer then i
Nostrana [21]
B: About 45 km to 55 km
3 0
4 years ago
Find the distance between (2,-4) and (5,-8)
Talja [164]

Using the distance formula:

Distance = √((x2-x1)^2 + (y2-y1)^2)

Distance = √((5-2)^2 + (-8 - -4)^2

Distance = √(3^2 + -4^2)

Distance = √(9 +16)

Distance = √25

Distance = 5

7 0
4 years ago
Jannette can repair a refrigerator in 60 minutes. Liza can repair a refrigerator 20 minutes faster. If they work together, how m
Rama09 [41]
24 minutes. Assuming that 2 people who will repair a refrigerator equally fast will do it twice as fast when working together:
Jannete repairs 1/60 refrigerator per minute.
Lisa repairs 1/40 refrigerator per minute.
Togheter they repair 1/60+1/40= 1/60 + 1,5/60 = 2,5/60=5/120=1/24 refrigerator per minute
thus it will take them 24 minutes
6 0
3 years ago
Read 2 more answers
Other questions:
  • 30 POINTS!!!!
    7·1 answer
  • Irrational numbers are _____ integers.<br> a. always<br> b. sometimes<br> c. never
    14·1 answer
  • What is the greatest whole # that rounds to 67400?
    5·1 answer
  • What is the answer to t^2-8t+12=0
    6·1 answer
  • The Merry go Round aboard the ship is a great way to relax. If the merry go
    7·1 answer
  • I’ll give brainliest to whoever helps me answer this question correctly.
    12·2 answers
  • 2.What solid figure is described by a water hose?
    8·2 answers
  • Show on a number line and write: the numbers that satisfy the equation |a|=5<br><br> Please Hurry!!
    15·2 answers
  • 26
    12·1 answer
  • Calculate the volume of cuboids with the following dimensions
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!