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
Vlada [557]
2 years ago
9

(X+2)/(x-8) greater than and equal to 1

Mathematics
1 answer:
Ann [662]2 years ago
3 0

Hello from MrBillDoesMath!

Answer:

x >  8

Note: the quotient never equal 1. See Discussion below


Discussion:

When is (x + 2)/ (x - 8 ) >1?

As x + 2 = (x-8) + 8 + 2 = (x -8 ) + 10        (A)


(x + 2)/ (x - 8 ) >= 1               =>  using (A) above

( (x-8) + 10  ) /(x-8) > = 1       =>  do the division!

(x-8)/(x-8) + 10/(x-8) > = 1     => as (x-8)/(x-8) = 1

1 + 10/(x-8) >=1                     => subtract 1 from both sides

10/(x-8) >= 0                        => as 10 >= 0

x-8 >= 0                               => add 8 to both sides

x >=8


** Note the value of x = 8 is spurious as (x-8) is in the denominator of our computations and division by zero is not allowed.

Also note that (x+2)/(x-8) can never equal 1. If it could, then

(x+2)/(x-8) =1    =>     multiply both sides by x-8

x+2 = x - 8       =>      subtract x form both sides

2 =  = -8           =>     Not possible


Thank you,

MrB

You might be interested in
Write the slope-intercept form of the line with a slope of 2 and a y-intercept of -4. Include your work in your final answer. Ty
kakasveta [241]
Y=mx+b m=slope b=y intercept
y=2x-4
7 0
2 years ago
Read 2 more answers
Terri played 70 tournament chess games during the school year and won 49 of them. What is her win-to-loss ratio?
Scilla [17]

Alright so the answer would be letter B, because

win-to-loss

49 to 21 (You can determine her losses by subtracted the number of wins from her total number of games played)

Now you must simplify your answer

7 is the greatest common factor (GCF) of both 49 and 21

Now divide both 49 and 21 by 7 to get

7 to 3

7 0
3 years ago
A grocery store sells a 6-pack of bottled water for $3.79 and a 12-pack of water for $6.89.
Ivenika [448]
It will be  26.1131 per bottle hopes this helps :)
7 0
3 years ago
How do I solve 8 - 2 3/4 =
slega [8]

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:  21 /4   Decimal Form: 5.25    Mixed Number Form:  5  1 /4

Step-by-step explanation:

8 0
3 years ago
Suppose that the mean of your 50 rolls is x = 3.25. Are you suspicious about the fairness of the die? Justify your answer.
Romashka-Z-Leto [24]

Answer:

3.25x50=21

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Best ever candy will be distributing a new giant size bag of fruit slices. assuming that the ratio relationships remain unchange
    15·2 answers
  • Y = 5x – 1
    11·2 answers
  • Convex hexagon ABCDEF has exactly two distinct side lengths. Side AB measures 5 units, and side BC measures 6 units. The perimet
    10·1 answer
  • The center of a circle is at (–10, 6) and it has a radius of 4. What is the equation of the circle?
    15·2 answers
  • Radical2-8-(rad3+rad2)+(rad3-rad5)+rad5
    7·1 answer
  • A 12 inch pizza is cut into 8 equal slices. What is the length of the crust of 1 piece of pizza? Use 3.14 for pie
    10·2 answers
  • What's 2/3 of 17 as a fraction
    6·1 answer
  • Find the solutions to y = –8x for x = 2, 4, and 8.
    6·1 answer
  • if i have 4 gallons 3 quarts - 3 quarts and 1 pint what would be the leftover gallons quarts and pint?
    10·1 answer
  • Can someone help please. I’ll give brainleist.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!