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tresset_1 [31]
4 years ago
9

Determine the relationship between x and f(c) in the table below and write the equation

Mathematics
1 answer:
Svetradugi [14.3K]4 years ago
3 0

Looking at the only columns where we have both x and f(x), we can see this couples:

\begin{array}{c|c}x&f(x)\\1&1\\49&7\\25&5\end{array}

We can see that the output is always the square root of the input, so the function is

f(x)=\sqrt{x}

and the table completes to

\begin{array}{c|c}x&f(x)\\9&3\\1&1\\100&10\\4&2\\49&7\\16&4\\0&0\\25&5\\20&\sqrt{20}\end{array}

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Evaluate the expression shown and write your answer as a fraction in simplest form.
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A company that makes wildlife videos purchases camera equipment for $32,400. The equipment depreciates in value at a constant ra
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C

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Step-by-step explanation:

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3 0
3 years ago
Write 2^8 * 8^2 * 4^-4 in the form 2^n
Eva8 [605]

The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

<u>For example:</u>

If we have a*a*a*a, it can be written in exponential form as:

=a^4

where

  • a is the base, and
  • 4 is the power.

The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power. 

From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }

\mathbf{= 2^8\times (2^6) \times (2^{-8}) }

\mathbf{= 2^{8+6+(-8)}}

\mathbf{= 2^{6}}

Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.

Learn more about exponential forms here:

brainly.com/question/8844911

#SPJ1

4 0
2 years ago
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