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Gnom [1K]
4 years ago
5

Simplify the following expression. 5(x + y) + 3(x - y)

Mathematics
1 answer:
vaieri [72.5K]4 years ago
4 0
It could also be written as 
5x+5y+3x-3y when you merge the factors 
from here you could add like terms
5x+3x+5y-3y 
8x+2y would be your final answer since x and y aren't like terms therefore it cannot be reduced further 
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bezimeni [28]
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
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snow_tiger [21]

Answer:

b. The margin of error would decrease.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

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This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.

In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.

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Answer:

7

Step-by-step explanation

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