Complex Numbers and Equation Systems: Applications and Problem Solving
Complex numbers in standard form, solve equations using elimination and substitution methods, analyze projectile motion of a toy rocket, and calculate dimensions for a carpenter's project. Discover how to determine the number of bobblehead dolls to sell for a profit exceeding $100.
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Presentation Transcript
Unit 3 Review Section 3.1 through 3.6
Write as a complex number in standard form. ( ) ( ) + 2 5 4 2 i i
Write as a complex number in standard form. ( )( ) 3 3 1 i 6 i
Solve the system of equations using elimination or Solve the system of equations using elimination or substitution method. substitution method.
A toy rocket is fired straight into the air. The rocket has an initial velocity of 48 feet per second and its height is modeled by the equation where h is the height (in feet) and t is the time (in seconds). At what time will the toy rocket reach its maximum height? ( ) = 2 48 16 , t h t t
A carpenter is cutting a board to make a brace on a wall that will be used in a house. The shape of the brace will be a right triangle. In order for the brace to fit, the legs of the brace must be in a ratio of 3:2. The hypotenuse must be 26 inches long. What will the lengths of the legs be? Round your answers to the nearest tenth of an inch.
You and a friend decide to go into business selling bobblehead dolls. The profit p for selling b bobblehead dolls is given by the equation How many bobblehead dolls will you have to sell for your profit to be greater than $100? ( ) p b = + 2 0.2 15 150. b b
