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Mars2501 [29]
3 years ago
7

Inverse of the function f(x)=4x

Mathematics
2 answers:
KatRina [158]3 years ago
6 0

Answer:

\large\boxed{f^{-1}(x)=\dfrac{1}{4}x}

Step-by-step explanation:

f(x)=4x\to y=4x\\\\\text{exchange x to y and vice versa:}\\\\x=4y\qquad\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\y=\dfrac{x}{4}=\dfrac{1}{4}x

Pani-rosa [81]3 years ago
4 0

Answer:

f(x)^-1 = x/4

Step-by-step explanation:

f(x)=4x

inverse

x = 4y

rewrite

4y = x

y = x/4

Answer:

f(x)^-1 = x/4

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Answer:

1/2

(This is assuming all sectors are congruent)

Step-by-step explanation:

Well the other two colors that aren't red or green is blue and yellow.

There are 2 blues and 2 yellows.

There are 8 sections altogether.

We are asked to find the probability that our spinner will land on blue or yellow so we do (blue+yellow)/all = (2+2)/8=4/8=1/2.

This probability was assuming all sectors were congruent sectors.

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3 years ago
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galina1969 [7]
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3 years ago
for these scenarios, write equations or inequalities that reflect the relationship. The minimum number of hours required to rent
IgorLugansk [536]

Answer:

100 + 35x \geq 280 is the inequality that reflect the relationship.

Step-by-step explanation:

Given:

Charge for rental =   $100

Additional charge =  $ 35

Minimum amount that can be spent =  $280

To Find:

equations or inequalities that reflect the relationship = ?

Solution:

Let x be the minimum number of hours

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That is

100 + 35x

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3 years ago
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MariettaO [177]
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2 years ago
A polling organization announces that the proportion of American voters who favor congressional term limits is 64 percent, with
kvasek [131]

Answer:

We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Step-by-step explanation:

95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.

95 % confidence  means that of all the sample about 95 %  values are within in the given range.

And only 5% sample are not included in the given parameter.

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3% margin of error usually occurs when the data size is small.

As the data size increases the margin of error decreases.

So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

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