3 years ago

Help help help help help

Mathematics

1 answer:

Naddik [55]3 years ago

3 0

Answer:

<, -4

Step-by-step explanation:

-8x-20<12

add 20 to both sides

-8x=32

divide both sides by -8

x=-4

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PLEASE HELP ASAP <br>are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?

GREYUIT [131]

Answer:

To find the inverse of:

$f (x)=\dfrac{4}{x-2}-1$

Set the function to y:

$\implies y=\dfrac{4}{x-2}-1$

Rearrange to make x the subject:

$\implies y+1=\dfrac{4}{x-2}$

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$\implies xy+x=2y+6$

$\implies x(y+1)=2y+6$

$\implies x=\dfrac{2y+6}{y+1}$

Swap x and y:

$\implies y=\dfrac{2x+6}{x+1}$

Change y to the inverse of the function sign:

$\implies f$ $\:^{-1}(x)=\dfrac{2x+6}{x+1}$

Rewrite g(x) as a fraction:

$g(x)=\dfrac{3}{x+2}-2$

$\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}$

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$\implies g(x)=\dfrac{3-2x-4}{x+2}$

$\implies g(x)=-\dfrac{2x+1}{x+2}$

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

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Alenkasestr [34]

Answer:

$\frac{5}{6}$

Step-by-step explanation:

The total number of squares is 36, and only 6 of them are shaded therefore, the remaining 30 are not shaded. The probability that a randomly selected square is not shaded would therefore be:

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Answer:

Step-by-step explanation:

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