Answer:
missing element is 6
Step-by-step explanation:
Given
f(x) = x³ - 2 ( substitute x = 2 )
f(2) = 2³ - 2 = 8 - 2 = 6 ← missing element
ordered pair is (2, 6 )
<u>Answer: </u>
Sum of the roots of the polynomial 
<u>Solution:</u>
The general form of cubic polynomial is
---- (1)
If we have any cubic polynomial
having roots 
Sum of roots
=
---(2)
From question given that,
--- (3)
On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12
Hence the sum of roots using eqn 2 is given as,
=
= -2
Hence the sum of the roots of the polynomial 
Answer:
The distance between Harry’s home and his office? is 15 miles.
Step-by-step explanation:
The speed, distance time formula is:

Given:
Speed (<em>s</em>) = 30 miles/hour
Then the relation between distance and time is:

If Speed was 60 miles/hour the time taken is
hours.
Then the relation between distance and time is:

Use the value of <em>d</em> = 30t in (ii)
<em />
<em />
Determine the distance as follows:

Thus, the distance between Harry’s home and his office? is 15 miles.
Answer: a) 1,600
b) 35,000
c) 120,000
<u>Step-by-step explanation:</u>
First, round each number to one significant digit (the first digit).
Then multiply them.
a) 17 --> rounds to 20
82 --> rounds to 80
20 x 80 = 2 x 8 with two zeros
= 1 6 0 0
b) 54 --> rounds to 50
671 --> rounds to 700
50 x 700 = 5 x 7 with three zeros
= 3 5 0 0 0
c) 207 --> rounds to 200
643 --> rounds to 600
200 x 600 = 2 x 6 with four zeros
= 1 2 0 0 0 0