Answer:
Evaluate
(
Step-by-step explanation:
x/(x−4)(x−5)+1/(x−5)
Express
x−4
x
(x−5) as a single fraction.
x−4
x(x−5)
+
x−5
1
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x−4 and x−5 is (x−5)(x−4). Multiply
x−4
x(x−5)
times
x−5
x−5
. Multiply
x−5
1
times
x−4
x−4
.
(x−5)(x−4)
x(x−5)(x−5)
+
(x−5)(x−4)
x−4
Since
(x−5)(x−4)
x(x−5)(x−5)
and
(x−5)(x−4)
x−4
have the same denominator, add them by adding their numerators.
(x−5)(x−4)
x(x−5)(x−5)+x−4
Do the multiplications in x(x−5)(x−5)+x−4.
(x−5)(x−4)
x
3
−5x
2
−5x
2
+25x+x−4
Combine like terms in x
3
−5x
2
−5x
2
+25x+x−4.
(x−5)(x−4)
26x−4−10x
2
+x
3
Expand (x−5)(x−4).
x 2−9
x+20
26x−4−10x
2 +x 3
Answer:
Step-by-step explanation:
We want to simplify
Expand the parenthesis to get:
The LCD is 36
We express each term with denominator of 36
Simplify
Here is the mistake is on 9x1/100 because after decimal 9 is there means
9 has to be multiplied by 1/10 to get the 0.9
Here if we expand the 103.903 then from left to right
1 = 1x100 +
0 = 0x10 +
3 = 3x1 +
9 = 9x1/10+
0 = 0x1/100+
3 = 3x1/1000 = 103.903
Answer: The missing number is 55
The denominators are 20 and 100. We multiply by 5 to jump from the smaller denominator to the larger.
Do the same for the numerators
11*5 = 55
Or you can solve the proportion below for x
11/20 = x/100
11*100 = 20*x
1100 = 20x
20x = 1100
x = 1100/20
x = 55