Answer:
Evaluate
(![x^{3} -10x^{2} + 26x-4 \\ (x-5) (x-4)](https://tex.z-dn.net/?f=x%5E%7B3%7D%20-10x%5E%7B2%7D%20%2B%2026x-4%20%20%5C%5C%20%28x-5%29%20%28x-4%29)
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:
11
Step-by-step explanation:
Answer:
18 boys have tickets.
Step-by-step explanation:
There are three pools here because boys can count as two pools and girls can count as one.
Since there are three pools, divide by three. 27 / 3 = 9.
That's how many girls have tickets.
Subtract: 27 - 9 = 18.
That should be the number of boys.
9 x 2 = 18.
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