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AnnZ [28]
2 years ago
13

First to answer will get marked brainliest

Mathematics
1 answer:
I am Lyosha [343]2 years ago
7 0
Answer:
3000 x 1.02^10 = 3656.98.. = 3656 people
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James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of a and
m_a_m_a [10]

Given:

Three integers, a, b, and c, where c is a positive integer.

The product of a and b is 6.

The product of a and c is -4.

The product of b and c is -6.

To find:

The values of a,b and c.

Solution:

According to the given information:

ab=6        ...(i)

ac=-4       ...(ii)

bc=-6      ...(iii)

From (ii), we get

a=-\dfrsc{4}{c}          ...(iv)

From (iii), we get

b=-\dfrsc{6}{c}         ...(v)

Putting a=-\dfrsc{4}{c}  and b=-\dfrsc{6}{c} in (i), we get

\dfrac{-4}{c}\times \dfrac{-6}{c}=6

\dfrac{24}{c^2}=6

\dfrac{24}{6}=c^2

4=c^2

Taking square root on both sides, we get

\pm \sqrt{4}=c

\pm 2=c

It is given that c is a positive integer. So, it cannot be negative and the only value of c is c=2.

Putting c=2 in (iv), we get

a=-\dfrsc{4}{2}

a=-2

Putting c=2 in (v), we get

b=-\dfrsc{6}{2}

b=-3

Therefore, the values of a,b,c are a=-2,b=-3,c=2.

8 0
2 years ago
I need help with estimating and 920,026-535,722
olchik [2.2K]
You would just look at the next number close to 9 the answer would be 9000,000-5000,000
7 0
3 years ago
Read 2 more answers
Factor the expression: x^6-729. Show your work Please.
Brut [27]

Answer:

  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

Step-by-step explanation:

<u><em>Use of formulas:</em></u>

  • <em>a^2 - b^2 = (a + b)(a -b)</em>
  • <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
  • <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>

<u>Given the expression: </u>

  • x^6-729

<u>Factoring 729</u>

  • 729 = 3*3*3*3*3*3 = 3^6

<u>Factoring the expression </u>

  • x^6 - 3^6 =
  • (x^3)^2 - (3^3)^2 =
  • (x^3 + 3^3)(x^3 - 3^3) =
  • (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
7 0
3 years ago
What is the result of adding these two equations?
arsen [322]

Answer:

-2x-7y=-4

Step-by-step explanation:

5x+-7x=-2x

-9y+2y=-7y

1+-5=-4

So -2x-7y=-4

6 0
2 years ago
The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x.
alexira [117]

Answer:

I don't really understand the question

Step-by-step explanation:

I don't know the answer

4 0
3 years ago
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