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3 years ago

What is the standard form of (2-4i)(3+51)/(3+i)

1 answer:

6 0

(1⋅3+1(5i)−2i(3+5i))(3−i)51⋅3+15i-2i3+5i3-i5

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Solve x+2/x-4<0 A)–4 < x < –2 B)–2 < x < 4 C)–2 < x < –4

Gelneren [198K]

$Domain:\ x\neq-2\\\\\dfrac{x+2}{x-4}$

Other method:

$\dfrac{x+2}{x-4}$

zeros of numerator and denominator are x = -2 and x = 4.

Look at the second picture.

for x < -2 → x + 2 < 0 and x - 4 < 0

therefore $\dfrac{x + 2}{x - 4}=\dfrac{(-)}{(-)}>0$

for -2 < x < 4 → x + 2 > 0 and x - 4 < 0

therefore $\dfrac{x+2}{x-4}=\dfrac{(+)}{(-)} < 0$

for x > 4 → x + 2 > 0 and x - 4 > 0

therefore $\dfrac{x+2}{x-4}=\dfrac{(+)}{(+)} > 0$

<h3>Answer: B) -2 < x < 4</h3>

4 0

3 years ago

Which expression is equivalent to 18x2 – 50?

kondor19780726 [428]

Answer:

(3) 2(3x - 5)(3x + 5)

Step-by-step explanation:

$18 {x}^{2} - 50 \\ = 2(9 {x}^{2} - 25) \\ = 2(3x - 5)(3x + 5)$

6 0

3 years ago

The probability of drawing an ace from a deck of cards is 1/13. If you drew one card at a time (and put the card back each time)

Digiron [165]

Answer:

31 aces

Step-by-step explanation:

To find the number of aces you would expect, take the probability of an aces and multiply by the number of tries

1/13 * 400 =30.76923

Rounding up, approximately 31 aces

4 0

3 years ago

What are the coordinates of the vertes of the parabola described by the equation below?

dangina [55]

Answer: D. ( -7, - 2 )

Step-by-step explanation:

Rewrite this in vertex form and use this to find the vertex. ( h, k )

3 0

3 years ago

The Florida tourism board surveyed people on their favorite vacation cities. Half of the people said Orlando, 1/4 said Miami, 1/

solniwko [45]

352? I'm not so sure.

7 0

3 years ago