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vichka [17]
3 years ago
13

Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work

Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0

Answer: 12i + 21

Step-by-step explanation:

You want to apply foil to the first two terms.

  1. 3 x 1 = 3
  2. 5i x 3 = 15i
  3. -4i x 1 = -4i
  4. -4i x 5i = -20i^2

You get 3 + 11i - 20i^2. i is equal to the square root of -1, so when you square it, you will get -1. Then do -1 x -20 to get +20

So far you have (11i + 23) - (-i + 2).

  1. 11i + i = 12i
  2. 23 - 2 = 21

Im 99% sure the answer is 12i + 21

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According to the graph, what is the value of the constant in the equation
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Answer:

  C.  100

Step-by-step explanation:

You can rearrange the equation to say ...

  (Height)(Width) = Constant

Multiply any of the coordinate values shown, and you will see the constant is 100.

  4×25 = 5×20 = 10×10 = 20×5 = 100

The constant is 100.

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4 years ago
What is the equation of the line
Vedmedyk [2.9K]

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Step-by-step explanation:

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5 0
3 years ago
I have two questions
Montano1993 [528]
1.) 1/9, 2/18, 3/27
2.) 6/10, 12/20, 9/15
5 0
3 years ago
NEED TO KNOW ASAP<br> Which of the following is a quadratic inequality?<br> Oy&lt;2x+7<br> Oy Oy
Burka [1]

Answer:

  (c)  y < x^2 -5x

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

<h3>Identification</h3>

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a <em>quadratic</em>.

For the following inequalities, the degree of the polynomial in x is shown:

  • y < 2x +7 . . . degree 1
  • y < x^3 +x^2 . . . degree 3
  • y < x^2 -5x . . . degree 2 (quadratic)

<h3>Application</h3>

We see that the degree of the polynomial in x is 2 in ...

   y < x^2 -5x

so that is the quadratic inequality you're looking for.

__

<em>Additional comment</em>

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.

8 0
2 years ago
Solve for v<br><br> 3v+9-8v= -31<br> Simplify your answer as much as possible.
balandron [24]
Let's solve your equation step-by-step.
<span><span><span><span>3v</span>+9</span>−<span>8v</span></span>=<span>−31
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>−<span>5v</span></span>+9</span>=<span>−31
</span></span>Step 2: Subtract 9 from both sides.
<span><span><span><span>−<span>5v</span></span>+9</span>−9</span>=<span><span>−31</span>−9</span></span><span><span>−<span>5v</span></span>=<span>−40
</span></span>Step 3: Divide both sides by -5.
<span><span><span>−<span>5v</span></span><span>−5</span></span>=<span><span>−40</span><span>−5
</span></span></span><span>v=<span>8</span></span>
6 0
3 years ago
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