Solve Problems Using Systems of Nonlinear Equations

question 110

Multiple Choice

Solve Problems Using Systems of Nonlinear Equations
Let x represent one number and let y represent the other number. Use the given conditions to write a system of
nonlinear equations. Solve the system and find the numbers.
-The sum of the squares of two numbers is 74. The sum of the two numbers is 12. Find the two numbers.

• A)5 and 7
• B)5 and 7; -7 and -5C)-7 and -5D)-7 and 5; -5 and 7

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Definitions:

Portfolio

A collection of investments, such as stocks, bonds, commodities, and real estate, held by an individual or an institution.

Index Model

A statistical model to estimate the returns of a stock based on the returns of a broader market index.

Covariance

A measure of the degree to which two variables move together. In finance, it is used to measure how returns on two assets are related.

Regression Analysis

A statistical method used to examine the relationship between one dependent variable and one or more independent variables.