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3 years ago

If f(x) = 6x + 3, find −1 ().

Mathematics

1 answer:

lianna [129]3 years ago

6 0

Answer:

$f^{-1}(x)=(1/6)x-(1/2)$

Step-by-step explanation:

we have

$f(x)=6x+3$

Find the inverse function $f^{-1}(x)$

step 1

Let

y=f(x)

$y=6x+3$

step 2

Exchanges variables, x for y and y for x

$x=6y+3$

step 3

isolate the variable y

$x=6y+3$

$6y=x-3$

$y=(1/6)x-(1/2)$

step 4

Let

$f^{-1}(x)=y$

$f^{-1}(x)=(1/6)x-(1/2)$

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For each day in New England, the probability that it is mostly cloudy is 0.10 . Cindi is planning to go leaf watching, and her f

kolbaska11 [484]

Answer:

0,37

Step-by-step explanation:

It will be easier if we noun the events.

A= Cindi's friend comes to England.

B= New England is mostly cloudly.

We are searching the probability of just A doesn´t happen or just A happens but not B.

The probability of A doesn´t happen is one minus the probability of A:

$=(A^{|} )=1-P(A)=1-0.7=0.3$

The events A and B are independent for this reason the probability than both occurs is the product of the probability of each event. It means:

$P(A \cap B)= P(A)P(B)=0.1*0.7=0.07$

The probability of A doesn´t happen or A and B happen is:

$P(A^{|} \cup (A \cap B))= P(A^{|} )+P (A \cap B)-P(A^{|} \cap A\cap B)=0.3+0.07-0=0.37$

Conclusively we have to rest the probability of A doesn´t happen and A and B happen, but A happens and doesn´t happen and the same time is impossible. For this reason, we have the same result.

$P(A^{|} \cup (A \cap B))-P(A^{|} \cap A\cap B)=0.37-0=0.38$

Then the probability either Cindi's friend does not come to New England, or she does come but it is mostly cloudy is 0.37

8 0

3 years ago

Find the complete factored form of the

Andreas93 [3]

Answer:

$2a(-7ab^6+8)$

Step-by-step explanation:

2a is a common factor of the two terms:

$-14a^2b^6+16a=\boxed{2a(-7ab^6+8)}$

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3 years ago

Given a voltage of 80 volts and a current of 5 amps, what is the resistance?

Natasha_Volkova [10]

Resistance = Volt/current
80/5 = 16
The answer is 16 ohms

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3 years ago

A bag contains blue, red, green, and black marbles. If there are 236 marbles in the bag and 25% of them are blue how many marble

svp [43]

236*0.25

Answer= 59 blue

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3 years ago

Read 2 more answers

3, _ 27, 81, 243 what is the next number in the sequence

Lena [83]

Answer:

3,9,27,81,243,729,2187

Step-by-step explanation:

each number up times it by 3

3x3=9 ,9×3=27, 27×3=81,81×3=243,243×3=729,729×3=2187 and so on

4 0

2 years ago