Solve the Logarithmic Equation $\log _ { 7 } ( x - 4 ) + \log _ { 7 } ( x + 2 ) = 1$

question 81

Essay

Solve the logarithmic equation $\log _ { 7 } ( x - 4 ) + \log _ { 7 } ( x + 2 ) = 1$ for $x$ .

Calculate the coefficient of correlation from given data and understand its significance.

Understand the properties of the coefficient of correlation (r) and its range.

Analyze the relationship between covariance, the coefficient of correlation (r), and the strength and direction of linear relationships.

Understand the calculation and implications of slopes and intercepts in linear regression.

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Definitions:

Sale of Goods Act

Legislation governing the sale of goods, providing rights to buyers and obligations to sellers, focusing on elements like product conformity and transactional fairness.

Fundamental Breach

A breach of a fundamental aspect of the contract that is not covered by an exclusion clause; a breach that goes to the very root of the contract.

Risk of Loss

A term referring to the responsibility for damage or destruction of goods, typically discussed in contracts or insurance contexts to determine who bears the financial burden when property is damaged.

Sale-of-Goods Contract

A legal agreement where a seller transfers or agrees to transfer ownership of goods to a buyer for a price.