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Alex17521 [72]
3 years ago
8

Find each percent of change round answers to the nearest tenth of a percent if necessary (25 is decreased to 18)

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

\%Change = -28\%

Step-by-step explanation:

Given

25 decreased to 18

Required

Determine the percentage change

This is calculated as follows:

\%Change = \frac{Initial\ Value - New\ Value}{Initial\ Value}  * 100\%

In this case:

Initial\ Value = 25

New\ Value = 18

So, the formula becomes

\%Change = \frac{18 - 25}{25} * 100\%

\%Change = -\frac{7}{25} * 100\%

\%Change = -\frac{7* 100\%}{25}

\%Change = -\frac{700\%}{25}

\%Change = -28\%

<em>Hence, the change is 28% decrease</em>

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4 years ago
What is a perfect square? Why is <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%208x%20%2B16" id="TexFormula1" title="x^{2}
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Answer:

It is a perfect square. Explanation below.

Explanation:

Perfect squares are of the form

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

. In polynomials of x, the a-term is always x.(

(

x

+

c

)

2

=

x

2

+

2

c

x

+

c

2

)

x

2

+

8

x

+

16

is the given trinomial. Notice that the first term and the constant are both perfect squares:

x

2

is the square of x and 16 is the square of 4.

So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,

8

x

is of the form

2

c

x

.

The middle term is twice the constant times x, so it is

2

×

4

×

x

=

8

x

.

Okay, we found out that the trinomial is of the form

(

x

+

c

)

2

, where

x

=

x

and

c

=

4

.

Let us rewrite it as

x

2

+

8

x

+

16

=

(

x

+

4

)

2

. Now we can say it is a perfect square, as it is the square of

(

x

+

4

)

.

3 0
3 years ago
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