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kipiarov [429]
3 years ago
11

For the expression: ( a+b/b − a/a+b )÷( a+/a − b/a+b ) Find the domain. AND Prove that for all admissible values of a, the value

of the expression ( 5/a+1 − 3/a−1 + 6/a^2-1 )× a+1/2 does not depend on a.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Step-by-step explanation:

((a+b)/b − a/(a+b)) ÷ ((a+b)/a − b/(a+b))

To find the domain, remember that any denominators can't be 0.

b ≠ 0

a + b ≠ 0

a ≠ 0

(5/(a+1) − 3/(a−1) + 6/(a²−1)) × (a+1)/2

Distribute the a+1.

(5 − 3(a+1)/(a−1) + 6/(a−1)) / 2

Factor out 1/(a−1).

(5(a−1) − 3(a+1) + 6) / (2(a−1))

Simplify.

(5a − 5 − 3a − 3 + 6) / (2a−2)

(2a−2) / (2a−2)

1

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How do i solve 5y - 10 = -25?
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8 0
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Read 2 more answers
A restaurant has 5 ​3/8 pitchers of lemonade. Jada said 5 3/8​ ÷ 1 1/8 could represent the number of total servings if there are
Aloiza [94]

It should be noted that since Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade, Latanya is correct.

<h3>How to illustrate the information?</h3>

It should be noted that Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. This is right.

On the other hand, Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. This is wrong. In this case, it should be multiplication.

Therefore, it can be seen that Latanya is correct.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. Who is correct?

7 0
1 year ago
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