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2 years ago

Solve z3+3z2−25z−75=0 .

1 answer:

3 0

z^3 + 3z^2 -25z - 75 = 0
Factor out common terms in the first two terms, then in the last two terms
z^2(z+3)−25(z+3)=0
Factor out the common term z+3
(z+3)(z^2−25)=0
Ask: When will (z+3)(z^2−25) equal zero?
When z+3=0 or z^2−25=0
Solve each of the 2 equations above
z=−3,±5

Hope this helps

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Carl bought some stock at $25 a share it increased 1 1/2 times its value. How much is the stock per share ?

jolli1 [7]

Answer: $37.50 per share

Step-by-step explanation:

Take the difference in the final price and the original price. Divide by the original price and multiply by 100.

37.5-25= 12.5

12.5/25= .50

.50*100= 50%

The other answers are $12.50 per share, and

The new stock is worth $37.50 per share.

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1 year ago

Read 2 more answers

In a golf tournament, Sam played 4 rounds and was within 2 strokes of par for all 4 rounds of the tournament. If par is 72 on th

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Given:

$|x-4(72)|=2$

To find:

The highest and lowest scores Sam could have made in the tournament.

Solution:

We have,

$|x-4(72)|=2$

$|x-288|=2$

It can be written as

$x-288=\pm 2$

Add 288 on both sides.

$x=288\pm 2$

$x=288-2$ and $x=288+2$

$x=286$ and $x=290$

Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.

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1 year ago

17. It takes one minute to fill (3/7) th of a vessel. What is the time taken in

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Answer:

Given that 1minute =3/7of the vessel

let the time taken in minutes to fill the whole of the vessel be' x' minute.

1min =3/7

xmin =whole vessel =1=7/7

=3x/7=1=x=7/3=2.3min=2min.3sec

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1 year ago

The value in dollars,v(x),of a certain truck after x years is represented by the equation v(x)=32,500(0.92)^x.To the nearest dol

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Answer: $2193

Step-by-step explanation:

v(x) = 32,500 $(.92)^{x}$

Plug two and three in for x

v(2) = 32,500 $(.92)^{2}$

v(2) = 32,500(.8464)

v(2) = 27,500

v(3) = 32,500 $(.92)^{3}$

v(3) = 32,500(.778688)

v(3) = 25,307.36

Subtract v(3) from v(2)

27,500 - 25,307.36 = 2192.64

Round to the nearest dollar to get $2193

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2 years ago

El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañ

vodka [1.7K]

El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,

a. Cuánto tiempo le tomará a ambas realizar el trabajo?

Answer:

3.6 horas

Step-by-step explanation:

Sea el número total de horas que ambos trabajaron = T

Deje que la cantidad total de letras por las que pasaron = 1

De la pregunta, se nos dice:

Lourdes necesitó 6 horas para revisar las cartas.

Esto significa que, cada 1 hora, Lourdes revisaba 1/6 de las letras

Rosabel tardó 9 horas en leer las letras.

Esto significa que, cada 1 hora, Rosabel revisó 1/9 de las letras

Por lo tanto,

(1/6 × 1) T + (1/9 × 1) T = 1

(1/6 + 1/9) T = 1

(3 + 2/18) T = 1

(18/5) T = 1

5T / 18 = 1

Cruz multiplicar

5T = 18

T = 18/5

T = 3.6 horas

Por lo tanto, les tomó a ambas 3.6 horas hacer el trabajo.

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2 years ago