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Serggg [28]
3 years ago
13

Please explain how you got the answers also please. Thank you :)

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

x = -2 —> y = 4

x= 0 —> y = 1

x= 3 —> y = 1/8

Step-by-step explanation:

<h3>X= –2</h3>

y = ( \frac{1}{2} ) ^{x}  \\ y = ( \frac{1}{2} ) ^{ - 2}  =(  \frac{2}{1} ) ^{2}  =  {2}^{2}  = 4

<h3>X= 0</h3>

y = ( \frac{1}{2} ) ^{x}  \\ y = ( \frac{1}{2} ) ^{ 0}  =1

<h3>X= 3</h3>

y = ( \frac{1}{2} ) ^{x}  \\ y = ( \frac{1}{2} ) ^{ 3}  =  \frac{ {1}^{3} }{ {2}^{3} } =  \frac{1}{8}

I hope I helped you^_^

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String A is 3 5/6 meters long. String B is 2 1/4 meters long. What’s the total length of both strings?
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<u><em>Answer:</em></u>

The total length of the two strings is \frac{73}{12} meters

<u><em>Explanation:</em></u>

<u>Before beginning, remember the following:</u>

a\frac{b}{c}=\frac{ac+b}{c}

<u>Now, for the given problem:</u>

<u>We are given that:</u>

Length of string A = 3\frac{5}{6}=\frac{23}{6} meters

Length of string B = 2\frac{1}{4}=\frac{9}{4} meters

<u>To get their sum, we follow these steps:</u>

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b. Add the numerators

c. Simplify

<u>This is done as follows:</u>

For the given fractions, the common denominator will be 4×6 = 24

<u>Therefore:</u>

String  A = \frac{92}{24} m and String B = \frac{54}{24} m

<u>Now, we add:</u>

\frac{92}{24}+\frac{54}{24}=\frac{92+54}{24}=\frac{146}{24}

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Hope this helps :)

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3 years ago
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3 years ago
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