Option D:
is the domain of the function.
Solution:
Given function is
<u>To find the domain of the function:</u>
Option A: 
Substitute x = 0 in r(x).
If x = 0, then r(0) = 0
So that x ≠ 0 is false.
So, is not the domain of the function.
Option B: 
Substitute x = –1 in r(x).
If x = –1, then r(–1) = 1
So that x = ± 1 is false.
So, is not the domain of the function.
Option C: 
Substitute x = 1 in r(x).
It is indeterminate.
So, all real numbers are not the domain of the function.
Option D:
Substitute x = 1 in r(x).
It is indeterminate.
So, is the domain of the function.
Answer:
c = - 2, c = 7
Step-by-step explanation:
Given
c² - 14 = 5c ( subtract 5c from both sides )
c² - 5c - 14 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 14) which sum to give the coefficient of the c- term (- 5)
The factors are - 7 and + 2, since
- 7 × 2 = - 14 and - 7 + 2 = - 5, hence
(c - 7)(c + 2) = 0
Equate each factor to zero and solve for c
c - 7 = 0 ⇒ c = 7
c + 2 = 0 ⇒ c = - 2
Answer: 40
Step-by-step explanation:
Answer:
675 ft (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
$21.6
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Step-by-step explanation:
Kilometres when Satish is alone
150 kilometres in the beginning
150 kilometres in the end
Total: 300 kilometres
Litres of gas when Satish is alone
6 litres of gas per 100 kilometres
6 x 3 for 300 kilometres = 18 litres
Cost of gas when Satish is alone
$1.2 per litre
18 x 1.2 = $21.6
Therefore, Satish will pay $21.6 for gas.
