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oksian1 [2.3K]
3 years ago
5

Use the above image to solve the problem

Mathematics
2 answers:
nata0808 [166]3 years ago
6 0

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

√243

Decimal Form:

2.49804953 ...

Annette [7]3 years ago
4 0

Answer:

A very good way to help solv problems like this, is an app called Photomath

Step-by-step explanation:

You simply download it

Scan your problem

And boom, It solves it for you

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An initial amount of 180 grows at a rate of 22% every month. Write an exponential equation for the amount y after x months
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2 years ago
Read 2 more answers
Write the rule for the nth term of each sequence.
stira [4]

Rule for sequence a is: a_n = 10-3n

Rule for sequence b is: a_n = -19+8n

Step-by-step explanation:

a.)7, 4, 1, -2, ...

First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence

Here,

a_1 = 7\\a_2 = 4\\a_3 = 1\\d = a_2 - a_1 = 4-7 = -3\\d = a_3 - a_2 = 1-4 = -3

The explicit rule for an arithmetic sequence is:

a_n = a_1 + (n-1)d

Putting the value of a1 and d

a_n = 7 + (n-1)(-3)\\a_n = 7 -3n+3\\a_n = 10-3n

b.)-11, -3, 5, 13, ...

First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence

Here,

a_1 = -11\\a_2 = -3\\a_3 = 5\\d = a_2 - a_1 = -3+11 = 8\\d = a_3 - a_2 = 5+3 = 8

The explicit rule for an arithmetic sequence is:

a_n = a_1 + (n-1)d

Putting the value of a1 and d

a_n =-11 + (n-1)(8)\\a_n = -11 +8n-8\\a_n = -19+8n

Hence,

Rule for sequence a is: a_n = 10-3n

Rule for sequence b is: a_n = -19+8n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

8 0
3 years ago
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