Explanation

• In a maximization or minimization problem, the objective function represents the quantity being optimized (maximized or minimized). The coefficients of the variables in the objective function determine the direction of the optimization.
• A negative coefficient value in the objective function indicates that an increase in the value of the corresponding variable (x) leads to a decrease in the value of the objective function (z).

Explanation

Explanation

Explanation

The given set is a set of sets, also known as a collection of sets. It contains two elements:

1. {1, 2, 3} (a set of three elements)
2. {4, 5} (a set of two elements)

Explanation

• A constant function is a function whose output value is always the same, regardless of the input. In other words, a function f(x) is constant if f(x) = k, where k is a constant.
• A function whose range consists of just one element is called a constant function because it maps every input to the same output value.

Explanation

• The graph of a linear function is always a straight line.
• Linear functions have the form: f(x) = mx + b
• Where m is the slope and b is the y-intercept. The graph of such a function is a straight line with a constant slope.

Explanation

• 6^P4 can be expanded as: 6 × 5 × 4 × 3 = 360
• This is a calculation of the factorial of 6, denoted by 6! (6 factorial), but since the question uses the notation 6^P4, it's likely using the notation for permutations, where 6^P4 represents the number of ways to arrange 4 items from a set of 6.

Explanation

This is the formula for the tangent of the sum of two angles: tan(α + β) = (tanα + tanβ) / (1 - tanαtanβ)

Explanation

• Since the table is round, there is no fixed position or "head" of the table, and therefore, the arrangements are considered to be circular permutations.
• The formula for circular permutations is (n-1)! where n is the number of persons.
• In this case, n = 5, so: (5-1)! = 4! = 24

Explanation