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Mazyrski [523]
3 years ago
14

Find the sum of 3 - 7i and 8 + 4i. 11 - 3i 11 + 3i 22 - 8i -22 + 8i

Mathematics
2 answers:
klio [65]3 years ago
6 0

Answer:

11 -3i

First option is correct.

Step-by-step explanation:

We have to find the sum of the complex number 3 - 7i and 8 + 4i.

In adding two complex numbers, real part gets added with the real part and the imaginary part gets added with the imaginary part.

For the first complex numbers 3 - 7i, we have

real part = 3

imaginary part = -7i

For the second complex numbers 8 + 4i, we have

real part = 8

imaginary part = 4i.

Hence, the sum of the complex numbers is given by

3 - 7i + 8 + 4i

= (3+8) +(-7+4)i

= 11 -3i

First option is correct.

Debora [2.8K]3 years ago
5 0
3 - 7i + 8 + 4i = 3 + 8 - 7i + 4i = 11 - 3i.

The answer is A, 11-3i.
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aksik [14]
Average rate of change = (f(b) - f(a))/(b - a) = (f(3) - f(-2))/(3 - (-2)) = (5 - 2.5)/(3 + 2) = 2.5/5 = 0.5
5 0
3 years ago
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In a recent​ year, an author wrote 171 checks. Use the Poisson distribution to find the probability​ that, on a randomly selecte
sveticcg [70]

Answer: 0.3741

Step-by-step explanation:

Poison probability ;

P(x) = [U(^x) e(^-U)] ÷ x!

Where U = mean

Note: e = exponential symbol

Number of checks that year = 171

Number of days in a year = 365

U = 171/365 = 0.468

Average checks per day = 0.4685

Probability that at least one check was written per day is can be calculated by;

P(not 0) = 1 - P(0)

Therefore,

P(x) = [U(^x) e(^-U)] ÷ x!

P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!

P(0) = [ 1 * 0.6259] ÷ 1

P(0) = 0.6259

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4 0
3 years ago
Kindly Answer This And Don't Waste My PTS! ☁️
GalinKa [24]

====================================

\large \sf \underline{Problems:}

  • PROBLEM NUMBER 1: Solve 5x+2=22
  • PROBLEM NUMBER 2: Solve 2x+5=12
  • PROBLEM NUMBER 3: Solve 2x-5=7

====================================

\large \sf \underline{Answers:}

\large \qquad \qquad \bold{ \#1. \: x \:  =  \: 4}

\large \qquad \qquad \bold{ \#2. \:  x  \: =  \: \frac{7}{2} }

\large \qquad \qquad \bold{ \#3. \: x \:  =  \: 6}

====================================

\large \sf \underline{Solutions:}

<h3>Problem Number 1:-</h3>

  • \large\rm{5x \:  +  \: 2 \:  =  \: 22}

  • \large\rm{5x \:  =  \: 22 \:  -   \: 2}

  • \large\rm{5x \:   =  \: 20}

  • \large\rm{x \:  =  \:  \frac{20}{5} }

  • \large\rm\green{x \:  =  \: 4}

\therefore The answer of you're problem is x = 4.

====================================

<h3>Problem Number 2:-</h3>

  • \large\rm{2x \:  +  \: 5 \:  =  \:   12}

  • \large\rm{2x \:  =  \: 12 \:  -  \: 5}

  • \large\rm{2x \:   =   \: 7}

  • \large\rm\green{x \:  =  \:  \frac{7}{2} }

\therefore The answer of you're problem is 7/2.

====================================

<h3>Problem Number 3:-</h3>

  • \large\rm{2x \:  -  \: 5 \:  =  \: 7}

  • \large\rm{2x \:  =  \: 7 \:  +  \: 5}

  • \large\rm{2x \:  =  \: 12}

  • \large\rm{x \:  =  \:  \frac{12}{2} }

  • \large\rm\green{x \:  =  \: 6}

\therefore The answer of you're problem is x = 6.

====================================

Hope this helps!

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C. Addition of the two polynomials results in a polynomial. Subtraction of the two polynomials results in a polynomial. There is nothing here to indicate the set of polynomials is not closed under addition and subtraction.

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