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3 years ago

What is the inverse function f(x)=1/4x-2

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

The inverse function of the function above is f(x) = 4x + 8

You can find the inverse to any function by switching the x and f(x) values. After that, solve for the new f(x) value. The result will be the inverse function. The step-by-step process for this one is done below for you.

f(x) = 1/4x - 2 ----> Start by switching the f(x) and x

x = 1/4f(x) - 2 ----> Now add 2 to both sides

x + 2 = 1/4f(x) ----> Now multiply both sides by 4

f(x) = 4x + 8

Now that you've solved it for the new f(x), you have your inverse function.

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What is 12 and 5/25 as a mixed number in simplest form?

KonstantinChe [14]

To start off, 5/25 is 1/5. 25 and 5 can both be divided by 5, thus it is 1/5 smiplified. Now you add 12 and it is 12 and 1/5.

5 0

3 years ago

Opal can make 9 beaded bracelets per hour, and Lynette can make 6 per hour. Together how many hours should it take them to make

marin [14]

Answer:

I'm pretty sure it is 3 hours.

Step-by-step explanation:

Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D

4 0

2 years ago

A new screening test for West Nile Virus is developed for use in the general population. The sensitivity and specificity of the

morpeh [17]

The predictive value of a positive test is is 0.43.

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This question is solved using the concepts of sensitivity and specificity.

Sensitivity: It is the true negative rate, that is, the proportion of people without the disease that test negative.
Specificity: It is the true positive rate, that is, the proportion of people with the disease that test positive.

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Sensitivity of 60% means that of the 100 - 10 = 90% of people without the disease, 60% test negative and 100 - 60 = 40% test positive.
Specificity of 70% means that of the 10% with the disease, 70% test positive.

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The predictive value of a positive test is:

Probability of a positive test, which is 40% of 90% plus 70% of 10%, so:

$p = 0.4\times0.9 + 0.7\times0.1 = 0.43$

The predictive value of a positive test is is 0.43.

A similar question is given at brainly.com/question/22373775

7 0

2 years ago

Carlos and his friends are going to out to bowl, eat dinner, and see a movie. The starts at 8:10 p.M. And they want to arrive 20

Fantom [35]

Answer:

They should leave Carlo's house by 4:20 PM

Step-by-step explanation:

The movie starts at 8:10 pm, they want to arrive 20 minutes before the movie starts

20 minutes before 8:10 pm = 7:50 pm.

Hence, they should arrive by 7:50 pm

Duration of their activities before the movie is calculated as:

They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater.

: 1 hour + 1 hour 15 minutes + 20 minutes + 45 minutes + 10 minutes

= 2 hour 15 minutes + 75 minutes

= 2 hour 15 minutes +1 hour 15 minutes

= 3 hours 30 minutes in total.

The time they are meant to leave is calculated as:

7:50 pm - 3 hours 30 minutes

= 4:20pm

8 0

2 years ago

Verify the identity: tan(x+pi/2)=-cotx please!!

olya-2409 [2.1K]

First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb

tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
 because cospi/2 =0, and sinpi/2=1

=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
from where tan(x+pi/2)=-cotx

5 0

3 years ago