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Alborosie
3 years ago
6

HELP ASAP. Find the inverse of g(x)=1/3x-7 and find its domain and range

Mathematics
1 answer:
kifflom [539]3 years ago
7 0
<span>Find the inverse function of f. 
f(x)=(1+3x)/(5-2x) 
Interchange x and y to get: 
x=(1+3y)/(5-2y)
Solve for y as follows: 
5x-2xy=1+3y

3y+2xy=5x-1
y(3+2x)=5x-1
y=(5x-1)/(2x+3)

this is the inverse function</span>
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We roll a fair die repeatedly until we see the number four appear and then we stop. The outcome of the experiment is the number
muminat

Answer:

0

Step-by-step explanation:

given that we roll a fair die repeatedly until we see the number four appear and then we stop.

the number 4 can appear either in I throw, or II throw or .... indefinitely

So X = the no of throws can be from 1 to infinity

This is a discrete distribution countable.

Sample space= {1,2,.....}

b) Prob ( 4 never appears) = Prob (any other number appears in all throws)

= \frac{5}{6} *\frac{5}{6} *\frac{5}{6} *\frac{5}{6} *...\\=(\frac{5}{6} )^n

where n is the number of throws

As n tends to infinity, this becomes 0 because 5/6 is less than 1.

Hence this probability is approximately 0

Or definitely 4 will appear atleast once.

8 0
3 years ago
Your friend's Iphone contains 84 pictures and videos. There are three times as many photos as videos. How many videos are there
likoan [24]

Answer:

252

Step-by-step explanation:

If there are 3* as many photos as videos then, multiply 3 * 84, to get 252

6 0
3 years ago
How far can a caterpillar; traveling at 0.06m/s, move in 60 seconds?
nignag [31]

Answer:

3.6 meters in 60 seconds

4 0
2 years ago
What is 12/4 plus 18 as a fraction
Alona [7]

Answer:

21

Step-by-step explanation:

12/4.+18

The lcm is 4.

12+4(18) all divided by 4

12+72=84

84/4=21

4 0
3 years ago
Read 2 more answers
Multiply.
sergij07 [2.7K]

Answer:

D) 2x² + 4x - 30

Step-by-step explanation:

Follow the FOIL method:

FOIL =

First

Outside

Inside

Last

...and is the order you multiply to solve:

(x + 5)(2x - 6) =

(x)(2x) = 2x²

(x)(-6) = -6x

(5)(2x) = 10x

(5)(-6) = -30

Combine like terms. Simplify:

2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30

2x² + 4x - 30 is your answer.

~

5 0
3 years ago
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