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user100 [1]
2 years ago
8

Solve the inequality k^2-7k+12.25>0

Mathematics
1 answer:
Ksivusya [100]2 years ago
3 0

Answer:

k<3.5

Step-by-step explanation:

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Which expression is equivalent to 3.3.3.3
nikdorinn [45]

Answer:

I'm not sure but i think it's 34y

Step-by-step explanation:

7 0
2 years ago
Simplify LaTeX: \Large\frac{-4^{6} \cdot 4^{2}}{4^{4}}
Oksanka [162]

⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

<h3>   </h3>
  • To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by \large \sf a^{n}. The terms of a power are:

<h3>     </h3>
  • Base
  • Exponent
  • equal factors
  • power
<h3>         </h3>

✏️ <u>Resolution/Answer</u>:

\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\

  • Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot16\cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-4\cdot4\cdot16\cdot16\cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 4\cdot4}{4^{4}}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=\\\\

  • <em>Multiply </em>the power at denominator of the fraction:

\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4\cdot4}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=\\\\

  • <em>Multiply </em>the numerator numbers together:

\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=

\large \sf \dfrac{-16\cdot16\cdot 256     }{16}=

\large \sf \dfrac{-256\cdot 256     }{16}=

\large \sf \dfrac{- 65536  }{16}=\\\\

  • Simplify the fraction by number 16:

\\\large \sf \dfrac{- 65536  }{16}=

\large \sf \dfrac{- 65536  \div16}{16\div16}=

{\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1}  \ or \ -4096 }}}}}} \\\\\\

  • So this expression in its simplified form = -4096/1 or -4096.

{\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1}  \ or \ -4096 }}}}}}\\\\

                                 ★ Hope this helps! ❤️

6 0
2 years ago
Gary wants to buy a video game with a selling price of $48 on sale for 50% off. The sales tax in his state is 4.5%.
Shalnov [3]

Answer:

$25.08

Step-by-step explanation:

$48 to which you apply the 50%

48/2= $24

then you add the sales tax:

24+4.5%= 25.08

7 0
2 years ago
I am failing but i techer is giving me 1 more chance PLZ HELP ME
OverLord2011 [107]
Going to solve right now!
8 0
3 years ago
Read 2 more answers
If $18\sqrt 8-8\sqrt{18}=\sqrt n$, what is $n$?
Hunter-Best [27]

Answer:

Step-by-step explanation:

18\sqrt{8}-8\sqrt{18}=\sqrt{n}\\ \\ 36\sqrt{2}-24\sqrt{2}=\sqrt{n}\\ \\ 12\sqrt{2}=\sqrt{n}\\ \\ \sqrt{288}=\sqrt{n}\\ \\ n=288

3 0
2 years ago
Read 2 more answers
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