Simplify the complex fraction.





a.

b.

c.

d.

e.


b.

Mathematics

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Perform all operations in correct order.2 × 8 - 7

A. 23 B. 9 C. 2 D. 112

Mathematics

Impedance is a measure of the opposition to the flow of current in an electrical circuit. It consists of two parts called resistance and reactance. Light bulbs add resistance to an electrical circuit, and reactance occurs when electricity passes through coils of a wire like those found in electric motors. Impedance Z in ohms (?) may be expressed as a complex number, where the real part represents the resistance and the imaginary part represents the reactance. Use this information to solve the problem.The circuit contains two light bulbs and two electric motors. Express impedance as 

style="vertical-align: -4.0px;" /> A. Z = 4200 + 210i B. Z = 130 + 29i C. Z = 74 + 85i D. Z = 29 + 130i

Mathematics

Write the augmented matrix for the system.

A.
B.
C.
D.

Mathematics

Find the vertical asymptotes of the rational function.f(x) = 

A. x = - , x = 1
B. x = , x = -1
C. x = - , x = 1
D. x = , x = -1

Mathematics