Simplify the Expression $\frac { 2 y ^ { 2 } - 3 y - 5 } { 4 y ^ { 2 } - 25 } \div \frac { y ^ { 2 } - 6 y - 7 } { 2 y ^ { 2 } - 9 y - 35 }$

question 41

Multiple Choice

Simplify the expression. $\frac { 2 y ^ { 2 } - 3 y - 5 } { 4 y ^ { 2 } - 25 } \div \frac { y ^ { 2 } - 6 y - 7 } { 2 y ^ { 2 } - 9 y - 35 }$

• A) \(\frac { 1 } { 2 y - 5 }\)
• B) 1
• C) \(2 y - 5\)
• D) \(\frac { 1 } { y - 7 }\)
• E) \(\frac { 1 } { y - 1 }\)

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Definitions:

Manipulated

In research, refers to the deliberate alteration or control of variables to determine their effects on other variables.

Specific Research Question

A narrowly focused question that guides a research study, aiming to address a particular aspect of a topic in depth.

Research Hypothesis

A testable prediction about the relationship between two or more variables, forming the foundation for empirical investigation.

Testable Hypothesis

A clearly formulated hypothesis that can be tested through scientific methods, allowing for empirical verification or falsification.