Write an equation involving absolute value for each graph 38. -4.2 and 3.8

40. -3.4 and 3.4

Answers

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A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and eachsuccessive bounce is 69% of the previous bounce's height. Write a recursive formula
to represent the height of the nth bounce of the ball.

Answers

The value 2.75 goes in the first box, since it's the first term.

The expression $0.69*a_(n-1)$ goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"

What's A(-2,-4),B(2,4)

Answers

AB = $\sqrt{( 2 + 2 ) ^(2) + (4 + 4)^(2) } = √(16 + 256) = √(272) = 16.49$

5. Is the sequence arithmetic? If so, identify the common difference. 14, 21, 42, 77, ...

yes; 7
yes; –7
yes; 14
no
6. What is the 12th term of the sequence 10, 6, 2, …?
–16
–24
–34
–38
7. Find the missing term of the arithmetic sequence 22, ___ , 34, ...
46
16
28
40

Answers

5.
aritmetic is same increase per term
14 to 21 is 7
21 to 42 is 21
7≠21
no

6.
decreases by 4 each time
an=a1+d(n-1)
an=10-4(n-1)
n=12 for 12th term
a12=10-4(12-1)
a12=10-4(11)
a12=10-44
a12=-34

it is -34

7.
missing term is y
22+n=y
y+n=34
22+n+n=34
22+2n=34
minus 22 from both sides
2n=12
divide both sides by 2
n=6
22+n=y
22+6=y
28=y

28 is answer

5. no
6. -34
7. 28

Answer:

5. The correct option is 4. No, the given sequence is not arithmetic.

6.The option 3 is correct and the 12th term of the sequence is -34.

7. The option 3 is correct and the missing term of the arithmetic sequence is 28.

Step-by-step explanation:

The given sequence is

$14,21,42,77$