Write an expression to represent the given statement. Use n for the variable.
2 answers:
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Answer:
The number of ways Tony and Maria can both be selected for the committee is 8 ways.
Step-by-step explanation:
i) Tony and Maria have to be on the committee together or not at all.
ii) Let us consider Tony and Maria as combined as one person.
Therefore now we can say that the number of eligible people for the committee = 9 - 1 = 8.
iii) therefore the number of ways that both Tony and Maria can be selected for the committee are
= 8C1 =
A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.
<h3>What is a Complex Number?</h3>A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.
As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.
A.) x+y=y+x
As the two sides of the equation are equal, the equation is true.
B.) (x × y) × z = x × (y × z)
As the two sides of the equation are equal, the equation is true.
C.) x−y=y−x
As the two sides of the equation are not equal, the equation is not true.
D.) (x+y)+z=x+(y+z)
As the two sides of the equation are equal, the equation is true.
E.) (x−y)−z=x−(y−z)
As the two sides of the equation are not equal, the equation is not true.
Hence, all the statements are true except C and E.
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