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4 years ago

Simplify 3z + 4z +4 -2 -5z when Z=8

Mathematics

2 answers:

Elis [28]4 years ago

5 0

Answer:

Step-by-step explanation:

When z=8

Substitute 8 wherever u see z

3(8)+4(8)+4-2-5(8)

24+32+4-2-40

Ber [7]4 years ago

3 0

Answer:

Step-by-step explanation:

3z + 4z +4 -2 -5z

Combine like terms

3z + 4z -5z +4-2

2z+2

Let z=8

2*8 +2

16+2

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Can you figure out the solution? Options: a) 8 b) 6 c) 2 d) 5

Nataly [62]

Answer:

Step-by-step explanation:

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3 years ago

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4. A geometric sequence is defined recursively by a(1) = 40 and a(n)= a(n-1)

Anarel [89]

The complete question is:

A geometric sequence is defined recursively by

$a_{(1)}=40\text{ and }a_n=(-1/2)a_{(n-1)}$

(a) Write out the first four terms of this sequence.

(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.

Answer:

The 9th term is larger than 1/10.

Explanation:

You are given the first term, $a_(1)=40$ , and the recursive formula

$a_{(n)}=(-1/2)a_{(n-1}$

Thus, you can find the sequence of terms by multiplying each term by the constant ratio, (-1/2).

(a) First four terms of the sequence

$a_{(1)}=40\\ \\ a_{(2)}=40\times (-1/2)=-20\\ \\ a_{(3)}=-20\times (-1/2)=10\\\\ a_{(4)}=10\times (-1/2)=-5$

Those are the first four terms.

(b) 9th term

You can write the explicit formula of the sequence as:

$a_{(n)}=a_{(1)}\times r^{(n-1)}\\ \\ a_{(n)}=40(-1/2)^{(n-1)}$

Thus, for the 9th term, n = 9, and the term is:

$a_{(9)}=40\times (-1/2)^{(9-1)}\\ \\ a_{(9)}=40\times(-1/2)^8\\ \\ a_{(9)}=40\times(1/256)=0.1526$

Since 1/10 = 0.1, and 0.1 < 0.1526, the 9th term is larger than 1/10.

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3 years ago

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ale4655 [162]

Answer:

Difference is $3

Step-by-step explanation:

The Jones Family bought 3 adult tickets and 7 student tickets, so they spent 27+42=$69 spent.

The Smith Family bought 4 adult tickets and 5 student tickets, so they spent 36+30=$66 spent.

The difference between them is 69-66=$3.

So, the difference between how much the two families spent is $3.

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3 years ago

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GREYUIT [131]

5 * 23 is equal to 115. =)

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3 years ago

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Lera25 [3.4K]

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