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sveticcg [70]
4 years ago
5

Which equation represents a proportional relationship that has a constant of proportionality equal to 2? Oy-X+2 Oy- Oy-2x Oy-2??

? quick!​
Mathematics
1 answer:
Diano4ka-milaya [45]4 years ago
3 0

Answer:the answer is b

Step-by-step explanation:

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Help me? idk the answer :P
Alexus [3.1K]
\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}\\\\
-------------------------------\\\\
\left( 2^8\cdot 3^{-5}\cdot 6^0 \right)^{-2}\left( \cfrac{3^{-2}}{2^3} \right)^4\cdot 2^{28}\impliedby \textit{let's do the first group}
\\\\
-------------------------------\\\\


\bf \left( 2^8\cdot \cfrac{1}{3^5}\cdot 1 \right)^{-2}\implies \left( \cfrac{2^8}{3^5} \right)^{-2}\implies \left( \cfrac{3^5}{2^8} \right)^{2}\implies \cfrac{3^{2\cdot 5}}{2^{2\cdot 8}}\implies \boxed{\cfrac{3^{10}}{2^{16}}}\\\\
-------------------------------\\\\
\textit{now the second group}\qquad \left( \cfrac{3^{-2}}{2^3} \right)^4\implies \left( \cfrac{\frac{1}{3^2}}{2^3} \right)^4\implies \left( \cfrac{1}{2^3\cdot 3^2} \right)^4

\bf \cfrac{1^4}{2^{4\cdot 3}\cdot 3^{4\cdot 2}}\implies \boxed{\cfrac{1}{2^{12}\cdot 3^8}}\\\\
-------------------------------\\\\
\textit{so we end up with\qquad }\cfrac{3^{10}}{2^{16}}\cdot \cfrac{1}{2^{12}\cdot 3^8}\cdot 2^{28}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{16}\cdot 2^{12}\cdot 3^8}
\\\\\\
\cfrac{3^{10}\cdot 2^{28}}{2^{16+12}\cdot 3^8}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{28}\cdot 3^8}\implies 3^{10}\cdot 2^{28}\cdot 2^{-28}\cdot 3^{-8}

\bf 3^{10-8}\cdot 2^{28-28}\implies 3^2\cdot 1\implies 3^2\implies 9
7 0
3 years ago
Dan earns £9.30 per hour. How much will he earn for 9 hours work?
Dimas [21]

Answer: £83.70

Step-by-step explanation:

We can set up a ratio.

Let x be the amount he earns for 9 hours of work.

\frac{9.30 pounds}{1 hour} = \frac{x pounds}{9 hours}

We can cross multiply:

x = 9*9.3

x = £83.70

6 0
3 years ago
I NEED SOME HELP!!!
Sav [38]

Answer:

The drama club is charging $22 for a regular gift basket, and $34 for a deluxe gift basket

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An integer is 10 more than 3 times another. If the product of the two integers is 32, then find the integers
OverLord2011 [107]

Answer:

y = 2, x = 16

Step-by-step explanation:

x = 10 + 3y

xy = 32

Solve.

y = 2.

x = 16

7 0
3 years ago
What is the derivative of this function?
Alex17521 [72]
\bf y=\sqrt{x}-\left( \frac{1}{2} \right)^x\implies y=x^{\frac{1}{2}}-\left( \frac{1}{2} \right)^x\implies \cfrac{dy}{dx}=\frac{1}{2}x^{\frac{1}{2}-1}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)
\\\\\\
\cfrac{dy}{dx}=\frac{1}{2}x^{-\frac{1}{2}}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)\implies 
\cfrac{dy}{dx}=\cfrac{1}{2\sqrt{x}}-\left( \frac{1}{2} \right)^xln\left( \frac{1}{2} \right)
6 0
3 years ago
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