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abruzzese [7]
3 years ago
11

BRAINLIEST ANSWER GIVEN Solve inequality and write interval notation.

exFormula1" title="5x+4\leq x-8" alt="5x+4\leq x-8" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

x\leq -3

Step-by-step explanation:

I can't write interval notation on Brainly but I can solve the inequality.

5x+4\leq x-8

<em>Subtract </em>x<em> from both sides</em>

4x+4\leq -8

<em>Subtract 4 from both sides</em>

4x\leq -12

<em>Divide both sides by 4</em>

x\leq -3

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Part (1) : The solution is 729

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is 3^{2} \cdot3^{4}

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$, we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

3^{2} \cdot3^{4}=3^6=729

Thus, the simplified value of the expression is 729

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

\frac{1}{2^4x^8}

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$, we have,

\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}

Adding the powers, we get,

\frac{2x^{2}y^{-1}z^{-7}}{3}

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The median is 50

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