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Katyanochek1 [597]
2 years ago
9

Enter the correct answer in the box. Write the sum of 12√23x13 + 14√23x13 in simplest form, if x > 0.​

Mathematics
1 answer:
joja [24]2 years ago
5 0

12\sqrt{23 x^{13}} + 14\sqrt{23x^{13}}\\\\=(12+14) \sqrt{23x^{13}}\\\\=26\sqrt{23x^{13}}\\\\=26 \cdot 23^{\tfrac {1}2} \cdot x^{\tfrac{13}2}

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14. The area of 10 square plots is 160 ares. Find the length in metres of the side of each plot (3mks)​
VashaNatasha [74]

Answer:

Step-by-step explanation:

1 are = 100 m²

Assuming the ten squares are congruent, the area of each square is 160/10 = 16 are

16 are × 100 m²/are = 1600 m²

each side is √1600 = 40 m

7 0
3 years ago
A construction company orders 12 tons of pea gravel how many pounds of pea gravel do they order
poizon [28]
Each ton is equal to 2,000 pounds, therefore each ton (12) times the number of pounds per ton (2,000) is 24,000 pounds! Hope this helps!!
6 0
3 years ago
Choose all of the items that represent functions of an operating system.
PolarNik [594]

Answer: I’m pretty sure it’s A, B, D, and E in other words 1, 2, 4, and 5

5 0
3 years ago
2x^3-x^2+x-2 factorize​
bekas [8.4K]

Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

f(x)=2x^3-x^2+x-2

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

4 0
2 years ago
Read 2 more answers
A scientist has started a bacteria culture with 1,000 cells. The cells will double every hour. 1. Write the sequence that repres
babymother [125]

Answer:

See below in bold.

Step-by-step explanation:

1.   The sequence is 1000, 2000, 4000, 8000.

2.  The common ratio  is 2000/1000 = 2.

3.   Number of bacteria after 7 hours is 1000(2)^(7- 1)

    = 64,000.

4.   1000(2)^(x-1)  > 1,000,000

2^x-1  > 1000

x- 1  log 2 > log 10

x- 1 > 9.96

x > 10.96

During the 11th hour.

8 0
3 years ago
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