allhvasstH

2021-09-21

A. What is an equation?
B. Explain the difference between a linear and a quadratic equation in terms of degree and solution.
C. Givea concise definition of the following:
1. Rate
2 Ratio
3. Proportion

Caren

Equation: An equation is a mathematical statement that consists of an equal symbol between two functions, two quadratic equations, two linear equations of any variables...but not between the two different constant values.
A linear equation is one such that its degree is one and it has one root.
$2x+1=0$ is a linear equation and $x=-\frac{1}{2}$ is the solution.
A quadratic equation is one, whose degree is two and it contains two roots.
${x}^{2}-5x+6=0$ is a quadratic equation and 2,3 are the roots.
Rate: Rate is defined as a specific ratio that contains two terms of different units.
Ex: $\text{speed}=\frac{\text{distance}}{\text{time}}\left(\frac{m}{sec}\right)$
Ratio: A ratio is nothing but a statement that compares two numbers.
Ex: $3÷5$
Proportion: Proportion is one that equals two ratios.
Ex: $a÷b=c÷d$
$\frac{a}{b}=\frac{c}{d}$
$ab=bc$

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