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aniked [119]
3 years ago
5

What is the product of ( 4 + 3 i ) and ( 12 − 2 i )

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

(4+3i)(12-2i)

48 - 8i + 36i - 6i^2

48 + 28i +6

54 + 28i

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Emily wants to have her resume printed. The printing company charges $24.50 for the first 100 resumes, and then a flat rate for
stira [4]

The total number of resumes Emily prints = 300

She pays $24.50 for the first hundred resumes. Therefore, number of resumes that remain = 300-100= 200 resumes

\Now she pays a flat rate for each additional 100 resumes.

She pay a total of 48.50 for total of 300 resumes. Since she pays 24.50 for the first 100, the amount the remains = 48.50 =24.50 = $24

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Solve by using elimination. Express your answer as an ordered pair.
IrinaK [193]

Answer:

(-2, 0)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-x - 2y = 2

4x - 2y = -8

<u>Step 2: Rewrite Systems</u>

-x - 2y = 2

  1. Multiply both sides by -1:                    x + 2y = -2

<u>Step 3: Redefine Systems</u>

x + 2y = -2

4x - 2y = -8

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine equations:                    5x = -10
  2. Divide 5 on both sides:                x = -2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    4x - 2y = -8
  2. Substitute in <em>x</em>:                       4(-2) - 2y = -8
  3. Multiply:                                  -8 - 2y = -8
  4. Isolate <em>y</em> term:                        -2y = 0
  5. Isolate <em>y</em>:                                 y = 0
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So basically, so start off, let's explain the term "absolute value".
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In this case, you have the number 3, and you want to find two numbers that have an absolute value of 3.
Absolute value is basically always a positive number that's the same number as you had.
You're looking for 3, and there are two numbers with an absolute value of 3.
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