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LuckyWell [14K]
2 years ago
11

Multiply the rational expressions 3(x-4)² 5(x + 4)5 8(x+4)³ 3(x-4)5

Mathematics
1 answer:
nalin [4]2 years ago
7 0
1) 75x^3-300x^2-1200x+4800
Ig
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A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have
Digiron [165]
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:

z = 0.25x + 0.10(2x)

Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:

1.2 + z  = 0.25(2x) + 0.10(x)

Plug in the values you know:

1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)

Solve for x:

1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8

This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:

She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.

If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
4 0
3 years ago
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Solve for k.
Alex Ar [27]

k= 4/9 or 0.444 in decimal form.

hope this helps!

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Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...
saw5 [17]

Answer:

a_{n} = 4 (-5)^{n-1}

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

a_{n} = 4 (-5)^{n-1}

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3 years ago
3 (4x + 7) = 43; 12x + 21 = 43
777dan777 [17]

Answer:

Distributive property

Explanation:

You are distributing the 3 to the parenthesis to get 12x+21 =43

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3 years ago
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Can three segments with lengths 8, 15, and 6 make a triangle?
butalik [34]
Yes, not a equallateral but an issoceles

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3 years ago
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