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Alexeev081 [22]
3 years ago
5

Simplification please

Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

Answer:

5

Step-by-step explanation:

WHen we raise a power to a power, we multiply them, in this case 5 is the base so we can just ignore it for now and replace it with x.

(X^1/3)^3

Multiply 1/3 by 3 and we get 1

So:

X^1

Which does nothing, so we can simplify to just:\

X

Remember x is 5 so the answer is:

5

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Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

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An arithmetic sequence with a thrid term of 8 and constant difference of 5
olga nikolaevna [1]
\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
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n=3
\end{cases}
\\\\\\
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\\\\\\
\boxed{-2=a_1}
\\\\\\
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mezya [45]

Answer:

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Step-by-step explanation:

We need to find inverse of the quadratic function f(x) = x^2 - 3

Let

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x=y^2-3

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Now replace y with f^{-1}(x)

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Answer:

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Step-by-step explanation:

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