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3 years ago

What is the inverse of f(x) = 19/x^3

1 answer:

6 0

Y = f (x) = 19 / x^3 and g (y) = x
<span>g is inverse of f </span>

<span>x^3 = 19 / y </span>
<span>x = [ 19 / y ]^(1/3) </span>
<span>g (y) = [ 19 / y ]^(1/3) </span>
<span>g (x) = [ 19 / x ]^(1/3)________inverse function.</span>

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Solve the proportion

mario62 [17]

Answer:

$\boxed{\sf x = 5}$

Step-by-step explanation:

$\sf Solve \: for \: x \: over \: the \: real \: numbers: \\ \sf \implies \frac{2}{x - 3} = \frac{5}{x} \\ \\ \sf Take \: the \: reciprocal \: of \: both \: sides: \\ \sf \implies \frac{x - 3}{2} = \frac{x}{5} \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} = \frac{x}{5} \\ \\ \sf Subtract \: \frac{x}{5} - \frac{3}{2} \: from \: both \: sides: \\ \sf \implies \frac{x}{2} - \frac{3}{2} - ( \frac{x}{5} - \frac{3}{2} ) = \frac{x}{5} - ( \frac{x}{5} - \frac{3}{2} ) \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} - \frac{x}{5} + \frac{3}{2} = \frac{x}{5} - \frac{x}{5} + \frac{3}{2} \\ \\ \sf \frac{x}{5} - \frac{x}{5} = 0 : \\ \sf \implies \frac{x}{2} - \frac{x}{5} - \frac{3}{2} + \frac{3}{2} = \frac{3}{2} \\ \\ \sf \frac{3}{2} - \frac{3}{2} = 0: \\ \sf \implies \frac{x}{2} - \frac{x}{5} = \frac{3}{2} \\ \\ \sf \frac{x}{2} - \frac{x}{5} = \frac{5x - 2x}{10} = \frac{3x}{10} : \\ \sf \implies \frac{3x}{10} = \frac{3}{2} \\ \\ \sf Multiply \: both \: sides \: by \: \frac{10}{3} : \\ \sf \implies \frac{3x}{10} \times \frac{10}{3} = \frac{3}{2 } \times \frac{10}{3} \\ \\ \sf \frac{3x}{10} \times \frac{10}{3} = \cancel{\frac{3}{10} } \times( x) \times \cancel{ \frac{10}{3} } = x : \\ \sf \implies x = \frac{3}{2} \times \frac{10}{3} \\ \\ \sf \frac{3}{2} \times \frac{10}{3} = \cancel{ \frac{3}{2} } \times \cancel{ \frac{3}{2} } \times 5 : \\ \sf \implies x = 5$

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3 years ago

Find the perimeter of a triangle 20cm and 29cm

bagirrra123 [75]

Answer:

Unclear.

To find the perimeter you need all three sides of the triangle. You have only given two.

All you need to do is add up all three sides and you have your perimeter.

Formula: <u>P=a+b+c</u>

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2 years ago

Read 2 more answers

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natta225 [31]

I can’t read that so sorry I wish I could help you but I can’t bc I can’t read it

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2 years ago

If remove the zero from 0.76 would it change the value of the number

wariber [46]

Question 1:

<h3>Answer: The number does <u>not</u> change</h3>

Removing the zero from 0.76 leads to .76 which is the same as before. Both lead to $7.6 \times 10^{-1}$ in scientific notation.

Personally I prefer the zero up front to make the decimal point stand out easier. Of course it's just a preference, so its up to you to decide which you prefer.

===========================================

Question 2:

<h3>Answer: Yes the number changes</h3>

Taking the zero out of 10.25 leads to 1.25 which is definitely a different number (and smaller). Therefore, this zero is a significant digit compared to before.

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1 year ago

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MakcuM [25]

Answer:

sin xy / x = 0

Step-by-step explanation:

thay x = 0 và y = 3 vào sin xy / x ta có:

sin (0*3) / 0 = sin (0) = 0

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2 years ago