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Yanka [14]
3 years ago
15

If f(x) = 8x, which of the following is the inverse of f(x)?

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0
Y=8x

To find the inverse, flip the x and y variables and then solve for y.

x=8y
x/8=8y/8
x/8=y

Final answer: f^-1(x)=x/8
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10. There are nine golf balls numbered from 1 to 9 in a bag. Three balls are randomly selected without replacement to form a 3-d
lbvjy [14]

Answer:

a) 504

b) 56

c) 0.111

Step-by-step explanation:

Data provided in the question:

There are nine golf balls numbered from 1 to 9 in a bag

Three balls are randomly selected without replacement

a) 3-digit numbers that can be formed

= ^nP_r

n = 9

r = 3

= ⁹P₃

= \frac{9!}{9!-3!}

= 9 × 8 × 7

= 504

b)  3-digit numbers start with the digit 1

=  _ _ _

in the above 3 blanks first digit is fixed i.e 1

we and we have 8 choices left for the last 2 digits

Thus,

n = 8

r = 2

Therefore,

= 1 × ⁸P₂

= 1 × \frac{8!}{8!-2!}

= 1 × 8 × 7

= 56

c) Probability that the 3-digit number formed is less than 200

Now,

The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)

and total 3-digit numbers that can be formed is part a)

therefore,

Probability that the 3-digit number formed is less than 200

= 56 ÷ 504

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5 0
3 years ago
12. Samantha can walk 4.5 miles in 30<br> minutes. How many miles can she walk per<br> minute?
Ostrovityanka [42]

Answer:

  0.15 miles per minute

Step-by-step explanation:

You want the rate 4.5 miles in 30 minutes expressed in terms of miles per minute.

<h3>Unit rate</h3>

To find miles per minute, divide miles by minutes.

  speed = miles/minutes = (4.5 mi)/(30 min) = 0.15 mi/min

Samantha can walk 0.15 miles per minute.

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Step-by-step explanation:

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