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svp [43]
4 years ago
8

After an election in a small town, the newspaper reported that 42% of the registered voters actually voted. If 12,000 people vot

ed, how many people are registered to vote in the town?
Mathematics
1 answer:
makkiz [27]4 years ago
5 0
Since 42% of the voters voted and 12000 people voted, we can conclude that:
12,000=42% of the population.

I set this up like this:
12,000=0.42 x, substituting x for the total population.
Divide both sides by 0.42 to get x by itself.
x= 28571.43.

Your final answer is 28,572 people, because you can't have 0.43 of a person.
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Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
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Answer:

f(x) = (x + 19)(x^2 + 1)

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

i^2 = -1

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

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Output of 40 when x=1

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The polynomial is:

f(x) = (x + 19)(x^2 + 1)

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