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2 years ago

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

1 answer:

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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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!!

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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

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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.

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3 years ago

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

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