First, divide both sides by 5: x - 2 = 3. Then add 2 to both sides to find x = 5.

The vertex can be found using the formula x = -b/(2a), which gives x = 2. Substituting x back into the function gives the y-coordinate.

The volume of a cube is given by V = a³. Here, V = 4³ = 64 cm³.

Volume = πr²h = 3.14 * (3)² * 10 = 3.14 * 9 * 10 = 282.6 cm³.

To find the x-intercept, set y = 0. The equation becomes 5x = 10, thus x = 2.

Statistics plays a crucial role in modern mathematics by helping to make inferences and decisions based on data analysis.

The passage indicates that digital sum serves as a foundational principle that supports and enhances new technological inventions.

The passage indicates that digital sum contributes to making technology more accessible, thereby enhancing user experience.

The passage states that digital sum helps identify discrepancies in data, making it valuable for error detection.

The passage states that digital sum provides a checksum, which is essential for maintaining data integrity and detecting errors.

100 divided by 6 gives a quotient of 16 and a remainder of 4.

100 divided by 8 gives 12 with a remainder of 4 (100 - 96 = 4).

1000 divided by 6 gives a remainder of 4.

1000 divided by 9 gives a remainder of 1.

1001 divided by 7 gives 143 with a remainder of 2 (1001 - 7*143 = 2).

256 divided by 11 gives a quotient of 23 and a remainder of 3 (256 - 23*11 = 3).

256 divided by 15 gives a quotient of 17 and a remainder of 1 (256 - 255 = 1).

45 divided by 8 gives a quotient of 5 and a remainder of 5.

The divisor must be greater than the remainder, so 15 is a valid divisor (45 = 15*3 + 0).

The divisor must be greater than the remainder, so 6 is a valid divisor (56 = 6*9 + 2).

7 divided by 3 gives a remainder of 1 (7 = 3*2 + 1).

Multiplying the number by 3 gives (8k + 5) * 3 = 24k + 15, which gives a remainder of 7 when divided by 8.

Since 6 mod 3 = 0, the remainder when the number is divided by 3 is also 0.

The binary system is the foundation of digital electronics and computing, as it represents data in two states.

The binary system is most commonly used in modern computing as it directly corresponds to the on/off states of electronic circuits.

Hexadecimal is most efficient for representing large binary numbers in a compact form, as it condenses four binary digits into one hexadecimal digit.

The hexadecimal system is most efficient for representing large binary numbers due to its compactness.

The hexadecimal system is commonly used in programming to represent memory addresses due to its compactness.

The hexadecimal system is primarily used for color representation in web design, allowing for a compact representation of RGB values.

The binary numeral system is primarily used in digital electronics and computer science due to its simplicity and efficiency.