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1 year ago

F(x) = 3x + 6. Find the inverse of f(x).

Mathematics

1 answer:

Levart [38]1 year ago

3 0

Answer:

$\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}$

Step-by-step explanation:

We're given,

$\tt f(x) = 3x + 6$

$\tt y=3x+6$

$\tt x=3y+6$

$\tt x-6=3y$

$\tt y=\cfrac{x-6}{3}$

$\tt f^{-1}(x)=\cfrac{x-6}{3}$

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Find the constant of proportionality that creates a direct proportion between x and y,

Fofino [41]

Answer:

y=x

Step-by-step explanation:

Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional

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2 years ago

What is the relationship between the ratios? 16/72 and 8/32 Drag and drop to complete the statement. The ratios are . proportion

Yuki888 [10]

These ratios are not proportional.

Explanation:

If the ratio 8:32 were simplified, it would equal 1:4 because they can both be divided by 8. But since 16 x 4 does not equal 72, they cannot be divided by 4 to make a simplified ratio such as the first example.

Hope I helped, and good luck!

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2 years ago

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If sin(theta) =4/5 and is in quadrant 2, the value of cot(theta

iren [92.7K]

$\sin\theta= \frac{4}{5} 
\\
\\\sin^2\theta+\cos^2\theta=1
\\ \cos\theta=\pm \sqrt{1-\sin^2\theta} =\pm \sqrt{1-( \frac{4}{5})^2 } =\pm \sqrt{1- \frac{16}{25} } =\pm \sqrt{\frac{9}{25} }=\pm \frac{3}{5}}$

$\theta \in II \Rightarrow \cos\theta\ \textless \ 0 \Rightarrow \cos\theta=-\frac{3}{5}$

$\cot\theta= \frac{\cos\theta}{\sin\theta}= \frac{-\frac{3}{5}}{\frac{4}{5}} =- \frac{3}{4}$

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3 years ago

QUICK I NEED HELP!!!

My name is Ann [436]

ITS B OR 92 DEGREES enjoy!!!

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2 years ago

1/2 (b - 10) + 2b = 25

Serggg [28]

Answer:

the answer is 12

Step-by-step explanation:

Simplify both sides of the equation.

12(b−10)+2b=25

(12)(b)+(12)(−10)+2b=25(Distribute)

12b+−5+2b=25

(12b+2b)+(−5)=25 (Combine Like Terms)

52b+−5=25

52b−5=25

add 5 to both sides.

52b−5+5=25+5

52b=30

multiply both sides by 2/5.

(25)*(52b)=(25)*(30)

b=12

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2 years ago

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