Using the property of logarithms, log_5(25) = 2 and log_5(5) = 1. Therefore, log_5(25) + log_5(5) = 2 + 1 = 3, which is log_5(125).

Using the Binomial Theorem, the coefficient of x^3 is given by C(5,3) * (2^3) * (3^2) = 10 * 8 * 9 = 720.

Both 1/4^x and 4^(-x) represent the inverse of 4^x.

The product (x + 1)(x - 1) is a difference of squares, resulting in x^2 - 1.

The product of the roots of a quadratic polynomial ax^2 + bx + c is given by c/a. Here, c = 4 and a = 1, so the product is 4.

The vertex of the quadratic equation is given by the point (-b/2a, f(-b/2a)).

The function f(x) = 1/(x - 2) has a vertical asymptote at x = 2, where the function is undefined.

A horizontal line represents a function that is constant, meaning it neither increases nor decreases.

A strictly increasing function is one where, for any two points x1 and x2, if x1 < x2, then f(x1) < f(x2), which is represented by a graph that slopes upward from left to right.

A quadratic function is represented by a parabola, which can open either upwards or downwards.

A linear equation in two variables always forms a straight line when graphed.

Polynomial functions are continuous and smooth, meaning they do not have breaks, holes, or sharp corners.

Exponential functions grow or decay at a constant percentage rate, which is a defining characteristic.

Harmonic progression can include fractions, as it is defined through the reciprocals of an arithmetic progression.

Irrational numbers are characterized by their non-repeating, non-terminating decimal expansion, distinguishing them from rational numbers.

The decimal system is a base-10 system, which is widely used in everyday calculations.

The hexadecimal system is a base-16 system that includes the digits 0-9 and letters A-F.

Conflicts often arise from differing visions for the business, which can lead to disagreements among partners.

Partners often enter into partnerships to share risks and responsibilities associated with running a business.

The Binomial Theorem is specifically used for expanding expressions of the form (x + y)^n.

For a number to be divisible by 11, the difference between the sum of the digits in odd positions and the sum of the digits in even positions must be divisible by 11.

The decimal number 10 is represented as 1010 in binary.

The y-intercept is defined as the point where the line crosses the y-axis, which occurs when x is zero.

A quadratic polynomial is defined as a polynomial of degree 2, which is represented by x^2 + 2x + 1.

A number is divisible by 10 if it ends in 0.

For a number to be divisible by 11, the difference between the sum of the digits in odd positions and even positions must be divisible by 11.

To check for divisibility by 7, you can double the last digit and subtract it from the rest of the number.

All of the options listed are disadvantages of a partnership, including shared profits, limited access to capital, and increased liability.

Unlimited liability for all partners is a significant disadvantage, as partners can be personally responsible for business debts.

The polynomial x^2 - 9 can be factored as (x - 3)(x + 3).