Answer :
Final answer:
The question pertains to sign rules in multiplication and division, identifying linear equations, solving quadratic equations using the quadratic formula, and simplifying expressions with exponents.
Explanation:
When two positive numbers multiply, the result is positive. For instance, 2 x 3 = 6. Similarly, when two negative numbers multiply, the result is also positive, as seen in (-4) x (-3) = 12. However, when the numbers have opposite signs, the result is negative, such as (-3) x 2 = -6 or 4 x (-4) = -16. These rules apply similarly to division.
A discussion of linear equations reveals that options A, B, and C are linear because they can be written in the form y = mx + b, where m and b are constants. As for solving quadratic equations, like x² +0.0211x -0.0211 = 0, the quadratic formula can be applied because the equation is in the standard form ax² + bx + c = 0, allowing for the determination of the solution for x.
The process of simplifying expressions with exponents can be seen in re-expressing numbers, such as turning 2 x 10¹² into 2³ x 10⁵, and applying the same process to different operations. Practices involving these methods not only solve for a particular answer but also solidify the understanding of mathematical concepts.
Learn more about Sign Rules and Linear Equations here:
https://brainly.com/question/29613137
#SPJ2