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Artemon [7]
3 years ago
12

Can someone tell me if this is the correct choice?

Mathematics
1 answer:
masya89 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

It's not the correct choice. If a root is given, that is the same thing as the solution. We go backwards from a solution to a factor, which is what you need to do here.

If x = 2i is the solution, then the factor is

(x - 2i). Likewise, with the other one.

If x = 3i is the solution, then the factor is

(x - 3i). The leading coefficient of 1 just sits outside the first set of parenthesis, and because multiplication is commutative, it doesn't matter which set you put first. Thus, the one you want looks like this:

f(x) = (x - 2i)(x - 3i) or

f(x) = (x - 3i)(x - 2i).

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2 years ago
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Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his
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Answer:

Paul has negative worth of $2,900

His statement is invalid as he did not consider all assets and debts in aggregate.

Step-by-step explanation:

The net worth of Paul is the total asset owned by him less the total of debts owed by him.

Paul's total assets can computed thus:

Stock portfolio                 $21,000

Home worth                     $365,000

Car worth                          $19,000

Total assets                       $405,000

Paul's total debts can be computed as follows:

Mortgage loan                     $362,000

Car loan                                $16,250

credit card debt                     $11,750

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Total debts                             $407,900

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6 0
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Jack usually mows his lawn in 6 hours. marilyn can mow the same yard in 4 hours. How much time would it take for them to mow the
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Answer:

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Jack mows 1/6 of the lawn per hour while Marilyn mows 1/4 of the lawn together. Adding up those rates yields in their combined mowing rate:

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The time required for them to mow the entire lawn is:

t = \frac{1}{R}\\t = \frac{1*24}{10}\\ t=2.4\ hours

It would take them both 2.4 hours to mow the lawn together.

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1 1/2 = 1.5 

3 3.4 = 3.75

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