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julia-pushkina [17]
3 years ago
14

The band club needs $1328 for decorations for this year’s concert. So far, they have $43. Find the minimum amount each of the 30

members can raise to meet their goal.
2 step Inequalities
Mathematics
2 answers:
Mandarinka [93]3 years ago
6 0
42.83 each because your beginning number 1328 - 43 then with thats answer divide by 30
Mariulka [41]3 years ago
3 0

Answer:

$42.83

Step-by-step explanation:

1: Subtract the amount they have by the amount they need.

1328-43= $1,285.

2: Divide amount they need ($1,285) by the total staff members (30).                Hence the equation is 1285 ÷ 30

3: Whatever answer you get from that equation is the answer

1285 ÷ 30 = $42.83

When you divide, you are setting the amount each staff member needs to donate by seeing how much money 30 people can give (equally) that adds up to 1285.

Hope this helps :)

-jp524

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Partial fraction = 1/(x-2) - x/(x^2+1)

Step-by-step explanation:

Question:

Express 2x+1/(x-2)(x²+1) as a partial fraction.

Note: it will be assumed that there was a typo in the interpretation of parentheses to mean

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

Let

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(2x+1) / ( (x-2)(x^2+1) ) = (A(x^2+1)+(Bx+C)(x-2)) / ( (x-2)(B/(x^2+1) )

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2x+1 = (A+B)x^2+(C-2B)x+A-2C

Match coefficients,

A+B = 0 ..................(1)

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A-2C = 1 ...................(3)

Solve for A, B and C

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transpose and solve for B

B = -2C-1  ....................(4)

Substitue B from (4) in (2)

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substitute (5)  in (4)

B = -2C-1 = -1  ...............(6)

Substitue (6) in (1)

A+(-1) = 0

A=1 .............................(7)

Using values from (7), (6) and (5) to substitute in (0)

we get

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