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3 years ago

The set {-1, 0, 1} is not closed under which operation?

Mathematics

2 answers:

kati45 [8]3 years ago

5 0

Hello,

if find the square root of a real is an operation then
√(-1)∉{-1,0,1}.

elena-14-01-66 [18.8K]3 years ago

4 0

The set {-1, 0, 1} is NOT closed under subtraction.
-1- (0) = -1
But,
-1 - (1) = -2
Hence,The result -2 is not in the set.
I hope it helped.

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Answer:

The percentage change is 140%

Step-by-step explanation:

Given

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Required

The percentage increment

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The new area is:

$Area =Length * Width$

$A_2=L * W_2$

Make L the subject

$L = \frac{A_2}{ W_2}$

Substitute values for A and W

$L = \frac{45m^2}{6m}$

$L = \frac{45m}{6}$

$L = 7.5m$ --- this is the length of the garden

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Make W1 the subject

$W_1 = \frac{1}{3} * L$

$W_1 = \frac{1}{3} * 7.5$

$W_1 = 2.5$

So, the initial area is:

$A_1 = L_1 * W_1$

$A_1 = 2.5 * 7.5$

$A_1 = 18.75$

The percentage change in area is:

$\%A = \frac{A_2 - A_1}{A_1}$

$\%A = \frac{45 - 18.75}{18.75}$

$\%A = \frac{26.25}{18.75}$

$\%A = 1.4$

Express as percentage

$\%A = 1.4*100\%$

$\%A = 140\%$

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