Answer:
4.5, -27, 162,-972, 5832
Step-by-step explanation:
The given recursive definition is,

This will form a geometric sequence with first term 4.5 and common ratio r=-6.
When n=2, we have:

When n=3, we get:

When n=4, we get:

When n=5, we get:

Therefore the first five terms are:
4.5, -27, 162,-972, 5832
|a| = -a if a < 0
The absolute value and the opposite of rational number is equal when a number is negative.
Examples:
|-7| = - (-7) = 7
|-0.5| = - (-0.5) = 0.5
Answer:
cost to make paper signs = $1
cost to make laminated signs = $2
Step-by-step explanation:
Let
x = cost to make paper signs
y = cost to make laminated signs
8x + 2y = 12 (1)
10x + 10y = 30 (2)
Multiply (1) by 5
40x + 10y = 60 (3)
10x + 10y = 30 (2)
Subtract (2) from (3) to solve for x
40x - 10x = 60 - 30
30x = 30
x = 30/30
x = $1
Substitute x = 1 into (1)
8x + 2y = 12
8(1) + 2y = 12
8 + 2y = 12
2y = 12 - 8
2y = 4
y = 4/2
y = $2
cost to make paper signs = $1
cost to make laminated signs = $2
Answer: The answer is A.|7 + -2 + 5 + - 8|
Step-by-step explanation:
|7−2+5−8|
=|5+5−8|
=|10−8|
=|2|
=2
Answer:
50º & 40º
Step-by-step explanation:
complementary anlges add up to 90º. so, we can make an equation:
x+x-10=90
2x=100
x=50
so the angles are 50º and 40º.