Question:
Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2
Answer:
Part a: 
Part b: 
Part c: 
Part d: 
Explanation:
Part a: Substituting
, we get,


The value of
is less than 
Thus, 
Part b: Substituting
, we get,


The value of
and
are equal.
Thus, 
Part c: Substituting
, we get,


The value of
is less than 
Thus, 
Part d: Substituting
, we get,


The value of
is less than 
Thus, 
Answer:
Option B is correct, i.e. 30 ways.
Step-by-step explanation:
Given that there are 6 runners at a competition. So it means n = 6.
It says 2 medals are awarded for first and second place. So it means r = 2.
Each medal is different, it means the order matters here. It is the case of Permutations, so we will use nPr formula.
Total number of ways = 6P2 = 6x5 = 30.
Hence, option B is correct, i.e. 30 ways.
Item 1:
((1450 * 0.10) + 1450) = 1595
or
(1450 * 1.1) = 1595
Item 2:
((850 * 0.10) + 850) = 935*2= 1870
or
(850 * 1.1) = 935*2 = 1870
Total Cost:
1595 + 1870 = 3465