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Elina [12.6K]
3 years ago
15

What is the product of the complex numbers below? (3-9i)(6-i)

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

Answer:

(9-57i)

Step-by-step explanation:

We need to find the product of the given complex number i.e.

(3-9i)(6-i)

It can be solved as follows :

(3-9i)(6-i) = 3(6) +3(-i) +(-9i)(6) + 9i(i)

= 18-3i-54i+9i²

We know that, i² = -1

So,

= 18-3i-54i+9(-1)

= 18-57i-9

= 9-57i

So, the product of the given complex number is (9-57i).

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drek231 [11]

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

<h3>How to write an expression for the total cost?</h3>

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

  • Let the cost for full-day be F.
  • Let the cost for half-day be H.
  • Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

Read more on expressions here: brainly.com/question/12189823

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-----------------------------
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<span>x = y and y = 10, then x = 10
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Ten times as much as 3000
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Answer:

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Step-by-step explanation:

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Gemiola [76]

The earning of the salesperson is an illustration of a linear function.

The possible functions in the two scenarios are: \mathbf{I(s) = 0.1s + 2500} and \mathbf{I(s) = 0.05s + 2000}\\

The function is given as:

\mathbf{I(s) = 0.1s + 2000}

When the base salary is increased, a possible function is:

\mathbf{I(s) = 0.1s + 2500}

This is so, because 2500 is greater than 2000

When the commission rate is decreased, a possible function is:

\mathbf{I(s) = 0.05s + 2000}\\

This is so, because 0.05 is less than 0.1

So, the possible functions in the two scenarios are:

\mathbf{I(s) = 0.1s + 2500} and \mathbf{I(s) = 0.05s + 2000}\\

See attachment for the graphs of both functions

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brainly.com/question/21981879

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