All categories

2 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Mathematics

1 answer:

Marat540 [252]2 years ago

6 0

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

(3x - 1) - (x + 2)

= 3x - x - 1 - 2

= 2x - 3

Therefore, (f - g)(x) = 2x - 3.

Hope this helped!

You might be interested in

Binary is best interpreted by a computer because

Deffense [45]

''Brainly'' is best computer because it is a wider platform basically which makes the soft wear better

5 0

3 years ago

Read 2 more answers

Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizz

Vilka [71]

Answer:

(31.919,42.881)

Step-by-step explanation:

7 0

2 years ago

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

enot [183]

Answer:

(1,1)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The variance of the binomial distribution is:

$V(X) = np(1-p)$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

64 questions.

So $n = 64$

5 possible answers, one correctly, chosen at random:

So $p = \frac{1}{5} = 0.2$

(a) What is your expected score on the exam?

$E(X) = np = 64*0.2 = 12.8$

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

$V(X) = np(1-p) = 64*0.2*0.8 = 10.24$

Variance 10.24

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2$

Standard deviation 3.2

5 0

3 years ago

A betta fish tank is in the shape of a cube. The volume of the fish tank is 216

GarryVolchara [31]

To find this answer, we need to understand how to get the Volume.

We get the volume by the formula: L x W x H

L = Length

W = Width

H = Height

So, we can see that there are 3 units required to know for getting the volume, if that's true, then, to do the inverse operation of finding the volume. That can be done by using thie formula:

$V=a^3$

a= edge

Solving for a

a=V⅓=216⅓=6

<h2>So hence, each of the Cube shaped Fish Tank is 6in³</h2>

now, let's look at how to find whether our answer is right or wrong

6x6=36

36x6=216

So hence, our answer is right!

-------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you!" B.B.King

Thanks!

Mark me brainliest!

Have a GREAT AWESOME day!

~ms115~

6 0

2 years ago