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
Which measure is equivalent to 48 quarts?
Mice21 [21]
D is correct because the 48 quart * 4cup/1quart*8ounce/1Cup=1536 fl .oz

6 0
3 years ago
Read 2 more answers
An isosceles triangle has an angle that measures 48°. Which other angles could be in that isosceles triangle? Choose all that ap
WITCHER [35]
48°, 84°, 66°
i think lol
7 0
3 years ago
Six hundred pictures were taken at a photo shoot. Twelve percent of the pictures are black and white. Which equasion can be used
amm1812
C looks correct to me.
8 0
2 years ago
Read 2 more answers
Suppose r(x) and t(x) are two functions with the same domain, and let h(x)=r(x)+t(x).
Sphinxa [80]

Answer:

If the maximum of function r(x) and t(x) occur at the same point c in domain P = max(r(x)+t(x)) = M+N

In general P  ≤  M+N

Step-by-step explanation:

If the maximum of function r(x) and t(x) occur at the same point c in domain then M=r(c) and N=t(c) So in this case P = max(r(x)+t(x)) = M+N

In general P  ≤  M+N

by definition of maximum  

r(x)≤M,t(x)≤N   for all x in domain

=>  r(x)+t(x)≤M+N   for all x in domain

=> max(r(x)+t(x)) <= M+N

=> P  ≤  M+N

Thus we get in general the relationship is P  ≤  M+N

4 0
2 years ago
Q2. In a camp food was enough for 400 people for 23 days. If 60 more people joined the camp, find the number of days the food wi
victus00 [196]

Answer:

Q2)

We have food for 400 people, and it will last for 23 days.

Then we have an inverse relation, where the number of days decreases as the number of people increases, this means that we have a relationship like:

23 days = K/400 people.

Then we get:

(23 days)*(400 people) = K = 9200 days*people.

Now if we increase the number of people by 60, we get.

people = 460

Then the number of days that this will last is:

D = (9200 days*people)/460 people = 20 days.

The food will last for 20 days.

Q3) We have a proportional relationship (y = k*x) such that y = 40 when x = 200, then we get:

40 = k*200

With this, we can find the value of k

40/200 = k = 0.2

Then the proportional relationship is:

y = 0.2*x

a) We need to replace x by 15.

y = 0.2*15 = 3

y = 3

b) We need to replace y by 8.

8 = 0.2*x

8/0.2 = x = 40

x = 40

Q3) y is inversely proportional to x (y = k/x), and y = 8 when x = 30.

Then we get:

8 = k/30

Then the value of k is:

8*30 = k = 240

then the relationship is:

y = 240/x

a) we need to replace x by 4

y = 240/4 = 60

y = 60

b) we need to replace y by 360

360 = 240/x

360*x = 240

x = 240/360 = 0.666...

x = 0.666...

8 0
3 years ago
Other questions:
  • There are 45 boys and 60 girls in Year 6. What is the ratio of boys to girls? Write the ratio in the simplest form
    11·2 answers
  • What is the range of the relation of centimeters as a function of inches? {5.08, 10.16, 17.78, 25.4, 33.02} all positive integer
    6·1 answer
  • Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons o
    6·1 answer
  • For 2 consecutive integers, the result of adding the
    15·1 answer
  • WILL MARK BRAINIEST, PLEASE HELP ME!
    9·1 answer
  • I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT
    6·1 answer
  • The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P).
    14·1 answer
  • Sin(2x-pi/2)=sin pi/3
    12·1 answer
  • Foiuhgfdknsmlaeszxcyfvugbihnoj
    10·1 answer
  • 7. Eddicycle Cycle Shop sells the Ultra Extreme X mountain bike for $179.98. Kammie Cycles sells the same
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!