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Alex Ar [27]
2 years ago
9

Solve for x in the hanger below

Mathematics
1 answer:
Eva8 [605]2 years ago
5 0

Answer:

x=3

Step-by-step explanation:

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Please help me thank you.
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Answer:

\large\boxed{1.\ (4)^{-3x^2}=\left(\dfrac{1}{4}\right)^{3x^2}}

\large\boxed{2.\ ab^{-3x}=a\left(\dfrac{1}{b}\right)^{3x}=a\left[\left(\dfrac{1}{b}\right)^3\right]^x}

Step-by-step explanation:

Use:\ a^{-n}=\left(\dfrac{1}{a}\right)^n\\------------\\\\(4)^{-3x^2}=\left[(4)^{-1}\right]^{3x^2}=\left(\dfrac{1}{4}\right)^{3x^2}

Use:\ a^{-n}=\left(\dfrac{1}{a}\right)^n\ and\ (a^n)^m=a^{nm}\\--------------------\\\\ab^{-3x}=a\cdot b^{-3x}=a\left[(b)^{-1}\right]^{3x}=a\left(\dfrac{1}{b}\right)^{3x}\\\\ab^{-3x}=a\left(\dfrac{1}{b}\right)^{3x}=a\left[\left(\dfrac{1}{b}\right)^3\right]^x

8 0
3 years ago
The average adult horse needs two fith bale of hay each day to meet dietary requirements. A horse farm has 44 bales of hay. How
slava [35]

Answer: 110 horses

Step-by-step explanation:

Given

An average adult horse needs two fifth bale of hay

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\Rightarrow n\times \dfrac{2}{5}=44\\\\\Rightarrow n=\dfrac{44\times 5}{2}=110\ \text{horses}

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