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2 years ago

Using factor theorem, factorize: x3 - 6x2 + 3x + 10

Mathematics

1 answer:

Sonbull [250]2 years ago

6 0

Factor the polynomial using the rational roots theorem (x+1) (x−5) (x−2)

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A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s

Artemon [7]

Answer:

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

$x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 0 \ \leq age \leq 2 }\\{0 \ \leq age \leq 3}\end{array}\right]$

Also , the age transition matrix is as follows:

$L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]$

After 1 year ; the age distribution vector will be :

$x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right] \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]$

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

6 0

2 years ago

What is the slope of the line represented by the equation y=- } - 5x?

Zepler [3.9K]

Answer:

The slope of the line represented by y = -5x is "-5".

Step-by-step explanation:

y=mx+b

M=slope

b=Y-intecerpt

5 0

2 years ago

Read 2 more answers

The area of a parallelogram in which b = (3x + 5) ft and h = (7x - 1) ft

fgiga [73]

The area of a parallelogram is equal to the base multiplied by the height. So in this instance it would be (3x+5)*(7x-1). Foil out the binomials. 21x^2+35x-3x-5 Combine like terms. 21x^2+32x-5
The area is 21x^2+32x-5

6 0

3 years ago

A truck carries a load of gravel with a mass of 3,200 kilograms. The truck unloads 976 kilograms of this gravel at a constructio

ANEK [815]

Answer:

2224 kilograms will be left in the truck

4 0

3 years ago

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Evaluate the expression when n=3. 3 squared+ 16

natita [175]

3^2 + 16
= (3 • 3) + 16
= 9 + 16
= 25

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5 0

3 years ago