Answer:
9/10.
Step-by-step explanation:
3 3/4 ÷ (1 2/3 + 2 1/2)
= 3 3/4 / ( 5/3 + 5/2)
= 3 3/4 / ( 10/6 + 15/6)
= 3 3/4 / 25/6
= 15/ 4 / 25/6
= 15/4 * 6/25
= 90/100
= 9/10.
If - 1 is a zero then

is a factor.
Dividing with this factor using the long division approach, we get the quadratic factor to be,

(see attachment).
We can rewrite the polynomial as

We can further factor as

That is
Work:
First department: (They have 9 possibilities for delegate and 8 for alternate)
9 * 8 = 72
Second department: (They have 7 possibilities for delegate and 6 for alternate)
7 * 6 = 42
Third department: (They have 10 possibilities for delegate and 9 for alternate)
10 * 9 = 90
Total possibilities:
72 * 42 * 90 = 272,160 possibilities
I hope this helps!
Answer: see below
<u>Step-by-step explanation:</u>
1) 10, 2, 1.2, 1.12, 1.112, 1.1112

t₁ = 10
t₂ = 10/10 + 1 = 2
t₃ = 2/10 + 1 = 1.2
t₄ = 1.2/10 + 1 = 1.12
t₅ = 1.12/10 + 1 = 1.112
t₆ = 1.112/10 + 1 = 1.1112
2) 10, 2, -2, -4, -5, -5.5, ...

t₁ = 10
t₂ = 10/2 - 3 = 2
t₃ = 2/2 - 3 = -2
t₄ = -2/2 - 3 = -4
t₅ = -4/2 - 3 = -5
t₆ = -5/2 - 3 = -5.5