1 year ago

Choose the best graph that represents the following systems of linear inequality.

Mathematics

1 answer:

kondor19780726 [428]1 year ago

7 0

Answer:

Step-by-step explanation:

using the power of elemination,looking at the first equation,we singled out the top 2, now looking at the 2nd equation, we see the y intercept is 2 meaning it has to be graph c

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Which expressions are equivalent to (2 Superscript 5 Baseline) Superscript negative 2? 2–10 and StartFraction 1 Over 20 EndFract

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Answer:

$\frac{1}{2^{10}} \ and\ \frac{1}{1024}$

Step-by-step explanation:

Given

$(2^{5})^{-2}$

Required

Find the equivalent;

To find the equivalent of the given expression, we make use of laws of indices;

Using the following law of indices;

$(a^m)^n = a^{m*n}$

So;

$(2^{5})^{-2}$ becomes

$(2^{5})^{-2} = 2^{5*-2}$

$(2^{5})^{-2} = 2^{-10}$ ------------ This is one equivalent

Solving further;

Using the following law of indices;

$a^{-m} = \frac{1}{a^m}$

So;

$(2^{5})^{-2} = 2^{-10}$ becomes

$(2^{5})^{-2} = \frac{1}{2^{10}}$

$2^10 = 1024$

Hence;

$(2^{5})^{-2} = \frac{1}{1024}$

Conclusively; the equivalents of $(2^{5})^{-2}$ are $\frac{1}{2^{10}} \ and\ \frac{1}{1024}$

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