Decide What Values of the Variable Cannot Possibly Be Solutions $$\frac { 3 } { x + 5 } + \frac { 8 } { x + 2 } = \frac { 10 } { x ^ { 2 } + 7 x + 10 }$$

question 80

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$\frac { 3 } { x + 5 } + \frac { 8 } { x + 2 } = \frac { 10 } { x ^ { 2 } + 7 x + 10 }$$

• A) \(\varnothing\)
• B) \(\left\{ - \frac { 39 } { 7 } \right\}\)
• C) \(\left\{ - \frac { 36 } { 11 } \right\}\)
• D) \(\left\{ - \frac { 56 } { 11 } \right\}\)

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Definitions:

Income People

Individuals or groups categorized by the level of income they receive, often used in discussions about economic policy or social welfare.

Progressive Tax

A taxation system where the tax rate increases as the taxable amount increases, typically leading to higher earners paying a larger percentage of their income than lower earners.

Tax

A compulsory financial charge or some other type of levy imposed on a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

Proportional

Pertaining to a relationship where quantities change at the same rate, maintaining a constant ratio.