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4 years ago

What are the solutions of the inequality 12x - 3x + 12 > 4x - (17 - 9x)

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

<h2>Answer:</h2>

<u>The answer is</u><u> x < 29/4</u>

<h2>Step-by-step explanation:</h2>

See the attached image for solution

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At a factory, a mechanic earns $17.25 an hour. The president of the company earns 6 3/4 times as much for each hour he works. Th

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Find how much each earns

pres =6 and 3/4 times mec pay=17.25 times 6.75=116.4375, about $116.44
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4 years ago

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Does anyone know the answer to this?

PolarNik [594]

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

$(\frac{4^2 4^3}{4^{-5}})^2$

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

$\frac{4^4 4^6}{4^{-10}}$

He then combined the numerator exponents. Exponent rules say that $a^b \cdot a^c = a^b+c$ , so he should have ended up with $4^{10}$ , which he did. This is correct.

$\frac{4^{10}}{4^{-10}}$

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have $\frac{a^b}{a^c}$ , it equals $a^{b-c}$ .

$10 - (-10) = 10+10 = 20$

So the final answer should have been $4^{20}$

Hope this helped!

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4 years ago