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2 years ago

Write using algebra.

Mathematics

2 answers:

WITCHER [35]2 years ago

5 0

Answer: They hold 2c + d liters.

Step-by-step explanation:

Water = bucket + jar
Bucket = c
Jar = c + d <-- if the jar holds d liters more than the capacity of the bucket, c, then its volume is (c + d).

Water = c + (c + d)
Water = 2c + d

Oxana [17]2 years ago

4 0

Answer:

d + c liters

Step-by-step explanation:

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2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Musya8 [376]

Answer:

The common difference d is d = -3

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: $a_n=a_1+(n-1)d$

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

$a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3$

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: $a_n=a_{n-1}+d$

We have found common difference d = -3

So, the recursive formula will be:

$a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3$

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

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Answer:

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Step-by-step explanation:

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