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KengaRu [80]
2 years ago
7

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
Read 2 more answers
Evaluate the expression when n=3. 3 squared+ 16​
natita [175]
3^2 + 16
= (3 • 3) + 16
= 9 + 16
= 25

~
5 0
3 years ago
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