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murzikaleks [220]
2 years ago
9

Find f-1(x), if f(x) = 3x – 6. Justify your

Mathematics
1 answer:
Sergio039 [100]2 years ago
4 0
Answer: 1/3 (x + 6)

Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)
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Exercise: Evaluate the expressions for a = 2 and b = 6<br> (a + b)2
Vesnalui [34]

Answer:

16

Step-by-step explanation:

Simply plug in 2 for a, then 6 for b and substitute

(2+6)2

Then do order of operations to simplify PEMDAS

First what's inside the parenthesis

(8)2

Then multiply

16.

8 0
2 years ago
Read 2 more answers
In a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this grou
katovenus [111]

Answer:

0.3875

Step-by-step explanation:

Given that in a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this group selected hiking as their favorite outdoor activity whereas 35% of the women in the group selected hiking as their favorite outdoor activity

From the above information we find that

P(Men) = 0.75 and P(women) = 0.25 (since men:women = 3:1)

Out of men prob for not selecting hiking as their favorite outdoor activity

=1-0.6 = 0.4

Out of women prob for not selecting hiking as their favorite outdoor activity

=1-0.35 = 0.65

Prob for a randomly selected person that hiking is not his/her favorite outdoor activity = Prob (man and not selected activitiy) + P(women and not selected activity) (since men and women are mutually exclusive and exhaustive)

=0.75(0.4)+0.25(0.35)\\= 0.30+0.0875\\\\=0.3875

6 0
3 years ago
Which of the following is an example of a non-repeating, non-terminating decimal 
ruslelena [56]

Answer:

B

Step-by-step explanation:

None of the numbers repeat unlike the other decimals

3 0
3 years ago
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Direct Variation.<br>¯\_(ツ)_/¯
Alekssandra [29.7K]

Answer:

y = 1/6

Step-by-step explanation:

direct variation

y =kx

substitute in what we know to find k

1/2 = k*3

solve for k

divide by 3

1/2 /3 = k

1/6 = k

substitute k into the direct variation equation

y = 1/6 x

let x = 1

y = 1/6 *1

y = 1/6

5 0
3 years ago
A fair coin is flipped two times. Which diagram shows all of the possible outcomes?
kirza4 [7]

Answer:

A

Step-by-step explanation:

It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that

hope this helps :)

6 0
2 years ago
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