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Paul [167]
3 years ago
7

If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 find f^-1 (x)

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

y = 1/3(x-5)

Step-by-step explanation:

To find the inverse of a function switch the x and y and then solve for y.

x = 3y + 5

x-5 = 3y

(x-5)/3 = y

Or

y = 1/3(x-5)

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Gambling at a slot machine is an example of which reinforcement schedule?
gogolik [260]

Answer:

d. Variable ratio

Step-by-step explanation:

We are asked to determine that gambling at a slot machine is an example of which reinforcement schedule.

Let us see our given choices one by one.

a. Fixed ratio

We know that in fixed ratio schedule, reinforcement is delivered after the completion of a number of responses. An example of fixed ratio is a reward to every 6th response.

b. Fixed interval

We know that in fixed interval schedule the first response is rewarded only after a specified amount of time has elapsed. An example of fixed interval schedule is weekly paycheck.

c. Variable interval

We know that in variable interval schedule, the reinforcement is delivered at changing and unpredictable intervals of time.

d. Variable ratio

In variable ratio schedule, a response is reinforced after an unpredictable number of responses. Gambling and lottery are examples of variable ratio.

Therefore, option 'd' is the correct choice.

8 0
3 years ago
PLEASE HELP!! I need this completed ASAP but I don't understand any of it!! It's due very soon!
lidiya [134]

Answer:

Step-by-step explanation:

a) you know interest is 22 and principal is 1000 and number of months is 1

b) I = rPm

   r = I/Pm

c) r = 22 / 1000(1) = 0.022 /month or 2.2% per month

or 12(0.022) = 0.264 or 26.4 % per year.

d) interest is $15, loan period is 2 weeks which occurs once during the loan, interest rate is 10% per two weeks.

P = I/rm

e) P = 15 / 0.10 = $150

Notice that there are 52 weeks/yr / 2week loan period = 26 period in a year.

This means that the APR is 0.10(26) = 2.60 or 260% annual interest rate. Pretty good return on investment if you are the lender and can keep your money lent out. Not so good if you are the borrower.

6 0
2 years ago
Enjoy points cuz I lost my Crown :(​
djverab [1.8K]

Answer:

You know what :)

Step-by-step explanation:

I feel bad so if you ever need help you can ask me! :)

5 0
3 years ago
Read 2 more answers
Katelyn needs to cover her sofa cushions. If each cushion is a 10 in. by 11 in. by 4 in. rectangular prism, and there are 3 cush
Svet_ta [14]

Answer:

1,164 in²

Step-by-step explanation:

the area of 1 sofa cushion =

2× ( 10×11 + 10×4 + 11×4)

= 2 × (110+40+44)

= 2×(194)

= 388 in²

the fabrics she needs to cover 3 sofa cushions =

3 × 388 = 1,164 in²

3 0
3 years ago
Which expression is equivalent to 3xy + 10xy - 5x + 2x - 2yx? A) 15xy + 7x Eliminate B) 13xy - 7x - 2yx C) -8xy D) -3x + 11xy
Vedmedyk [2.9K]

3xy + 10xy - 5x + 2x - 2yx

Add 3xy to 10xy

13xy - 5x + 2x - 2yx

Add -5x to 2x

Final Answer: B.) 13xy -3x - 2yx

3 0
3 years ago
Read 2 more answers
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