Friday, October 14, 2011

Assignment for Monday 10-17

Homework for Monday 10-19

Finish EA2 from the Springboard book page 47, items 1, 2, 3, 4

Hints:  Units of the domain are what you are counting for the input.  Units of the range are what you are counting for the output.  To compose a function is to substitute a function  E of D for the input E of an outside function R of E, so the outside function R of E operates on the inside function E of D.  Simplifying the composite function R of E of D gives R of D, where its domain is the input of the inner function, and its range is the output of the outer function.

Also, the bell ringer was to plot four points A, B, C, D and draw a polygonal region.
Start with graph paper and prepare a grid which can fit up to 300 on the y-axis and up to 300 on the x-axis.
Use wide spacing so that one square corresponds to 10 units, which means 10 spaces correspond to 100 units.

The points have coordinates (x,y)
A:   (0, 300)
B:   ( ?, ? )
C:   ( ?, ? )
D:   (188, 0)

Point B is found by solving the system of equations

x + 2y = 600
3x + y = 600

Use combination of opposites and elimination to temporarily make one variable go away, solve for one variable, then use substitution to find the other variable.


Point C is found by solving the system of equations

9x + 3y = 1800
9x + y = 1700

Use substitution to temporarily make one variable go away, solve for one variable, then use substitution to find the other variable.

Plot points A, B, C, D, and join them with straight lines.

Refer to earlier blog posts on 9-19.

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