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ss7ja [257]
3 years ago
10

3. 4 4 Function or non function?

Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0

Answer:

Did you write this out correctly?

Step-by-step explanation:

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Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)
JulsSmile [24]

Let the given complex number

z = x + ix = \dfrac{5-i}{3+2i}

We have to find the standard form of complex number.

Solution:

∴ x + iy = \dfrac{5-i}{3+2i}

Rationalising numerator part of complex number, we get

x + iy = \dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}

⇒ x + iy = \dfrac{(5-i)(3-2i)}{3^2-(2i)^2}

Using the algebraic identity:

(a + b)(a - b) = a^{2} - b^{2}

⇒ x + iy = \dfrac{15-10i-3i+2i^2}{9-4i^2}

⇒ x + iy = \dfrac{15-13i+2(-1)}{9-4(-1)} [ ∵ i^{2} =-1]

⇒ x + iy = \dfrac{15-2-13i}{9+4}

⇒ x + iy = \dfrac{13-13i}{13}

⇒ x + iy = \dfrac{13(1-i)}{13}

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0
3 years ago
What is the equation of the line in slope-intercept form?ASAP!!! Please
balu736 [363]

Answer:

The equation is y=4/3x+4

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
If f(x)= x^1/2 - x and g(x)= 2x^3 - x^1/2 - x, find f(x) - g(x)
Pavlova-9 [17]

Answer:

-2x^3+2x^{1/2}

Step-by-step explanation:

First, you have to substitute both functions into the equation to get:

f(x)-g(x) = (x^{1/2}-x) - (2x^3-x^{1/2}-x)

Then, you distribute the negative sign in front of g(x) to get:

= x^{1/2} - x -2x^3+x^{1/2}+x

And finally, you add/subtract the x's that have the same power to get:

=-2x^3+2x^{1/2}

3 0
3 years ago
-5(3e - 2) &lt; - 2(6e + 7)
krok68 [10]
This is false, -5(3e-2) is not less than -2(6e+7) 
8 0
3 years ago
Read 2 more answers
Help please and thanks! I always give brainliest!
Tju [1.3M]

Answer:

x=18, y=9

Step-by-step explanation:

The lines of y+3 and 12 look equal to each other. So do x-3 and 15. Because of this, we set each equal to each other and solve.

solving for x:

x-3 = 15

+ 3     +3

x=18

solving for y:

y+3=12

- 3    -3

y=9

hope this helps!!!

6 0
2 years ago
Read 2 more answers
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