Answer:
8 (3/4)
Step-by-step explanation:
convert everything into improper frantions
-3 1/2 = -7/2
-12 1/4 = -49/4
common denominators
-7/2 = -14/4
solve
-(14/4)-(-49/9)
two negative cancel out to make a positive
-(14/4)+(49/9)
35/4
35 divided by 4 = 8.75 = 8 3/4
First, what graph is it? It is a rational function.
What is the asymptotes? x=1
Therefore, the function is simply y=1/(x-1)
Hey!
First, let's write the problem.
Multiply
with
.
Subtract
from both sides.
Divide both sides by
.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
<u>General method</u><u>:</u>
Given numbers are 1.3 bar and 1.4 bar
- 1.3 bar = 1.333...
- 1.4 bar = 1.444...
Two rational numbers between them
= 1.3222... and 1.43333...
<u>Mean Method</u><u>:</u>
Let X = 1.333... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.333...×10
⇛10X = 13.333... → → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 13.333...
X = 1.333...
(-)
____________
9X = 12.000...
____________
⇛9X = 12
⇛X = 12/9
⇛X = 4/3
and
Let X = 1.444... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.444...×10
⇛10X = 14.444...→ → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 14.444...
X = 1.444...
(-)
____________
9X = 13.000...
____________
⇛9X = 13
⇛X = 13/9
Now we have 12/9 and 13/9
The rational number between them by mean method (a+b)/2
⇛{(12/9)+(13/9)}/2
⇛(25/9)/2
⇛25/18
and Second rational number
⇛{(12/9)+(25/18)}/2
⇛{(24+25)/18}/2
⇛(49/18)/2
⇛49/36
<u>Answer</u><u>:</u> The two rational numbers between them are 25/18 and 49/36.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?
brainly.com/question/85169?referrer
