List and discuss all possible results when solving a system of two linear equations. Give an example of each type of system and solution.

What will be an ideal response?


One solution: two intersecting lines
No solution: parallel lines
Infinitely many solutions: same line

Mathematics

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Rationalize the denominator. 

A.
B.
C.
D.

Mathematics

In the circuit below, Vin = 7 V, R = 250 ê, xC = 1000 ê, and C = 90 pF. What are the values of VO and I at f1? I


a. VO = 4.95 V, I = 19.8 mA
b. VO = 6.21 V, I = 19.8 mA
c. VO = 7.00 V, I = 19.8 mA
d. VO = 5.55 V, I = 22.2 mA
e. VO = 7.00 V, I = 28.0 mA

Mathematics

Rearrange the formulas.S = 2?rh + 2?r2; solve for h

A. h = 
B. h =  - 1
C. h = S - r
D. h = 2?(S - r)

Mathematics

Complete the square to find the x-intercepts of the function.f(x) = x2 + 12x + 31

A. (6 + , 0), (6 - , 0)
B. (-6 + , 0), (-6 - , 0)
C. (-6 + , 2), (-6 - , 2)
D. (-6 + , 0), (-6 - , 0)

Mathematics