If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).A. (f – g)(x) = –5x + 3x – 2
B. (f – g)(x) = 5x – 3x + 2
C. (f – g)(x) = –2x – 2
D. (f – g)(x) = –5x – 3x – 6

Answers

Answer 1

Answer:

(f – g)(x)=-2x-2. Therefore, option C is the correct answer.

The given functions are f(x) = –5x – 4 and g(x) = –3x – 2.

We need to find the value of (f – g)(x).

What is the function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, (f – g)(x)=–5x – 4-(–3x – 2)

=-5x+3x-4+2=-2x-2

Thus (f – g)(x)=-2x-2. Therefore, option C is the correct answer.

To learn more about the functions visit:

brainly.com/question/12431044.

#SPJ2

Answer 2

Answer: Hello!

We'll start by simplifying the required formula. (f – g)(x) can be rewritten as the following:

f(x) – g(x)

Now insert any known values into the simplified formula above:

(-5x – 4) – (-3x – 2)

Eliminate the parentheses by simplifying:

-5x – 4 + 3x + 2

Combine like terms:

-2x – 2

We have now proven that (f – g)(x) is equal to (-2x – 2).

The correct answer is C.

I hope this helps!

Related Questions

“Cole walked from the theater to the car dealership, and then from the car dealership to the locksmith. If each grid line stands for 500 meters, how far did cole walk?” PLEASE HELP WILL GIVE BRAINLIEST AND 5.0 STAR RATING
Use formulas brainiest answer to whoever is first and correct
Suppose the population of a certain city is 5769 . It is expected to decrease to 4963 in 50 years. Find the percent decrease.
Last year a large trucking company delivered 9.0 x 105 tons of goods with an average value of $17,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation
what is the greatest possible are of a triangle with one side of length 7 and another side of length 10?

27 is the relationship linear, exponential, or neither? Options: a. Linear b. Exponential c. Neither

Answers

Answer: Here's my answer

Step-by-step explanation:

The relationship given, 27, is neither linear nor exponential.

In a linear relationship, the dependent variable (y) changes at a constant rate for every unit increase in the independent variable (x). This results in a straight line when plotted on a graph. However, the given value, 27, does not provide any information about how the variable changes in relation to another variable. Without this information, we cannot determine if the relationship is linear.

In an exponential relationship, the dependent variable (y) changes at an increasing or decreasing rate based on a constant ratio for every unit increase in the independent variable (x). This results in a curved line when plotted on a graph. Since the given value, 27, does not provide any information about the rate of change or the constant ratio, we cannot determine if the relationship is exponential.

Therefore, based on the given information, the relationship 27 is neither linear nor exponential.

How is the graph of log (x – 5) translated from the graph of log x?

Answers

Answer:

The graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).

Step-by-step explanation:

The parent log function is

$y=\log x$

The translation of the function is defined as

$y=\log (x+a)+b$ .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given function is

$y=\log (x-5)$ .... (2)

From (1) and (2), we get

$a=-5,b=0$

Since a=-5<0, therefore the graph of y=logx shifts 5 units right to get the graph of y=log(x – 5).

The transformation of g(x) to f(x) is g(x) is shifted left by 5 unit to f(x).

Describing the transformation of f(x) to g(x).

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = log(x - 5)

g(x) = log(x)

So, we have

Difference = 5 - 0

Evaluate

Difference = 5

This means that the transformation of g(x) to f(x) is g(x) is shifted left by 5 unit to f(x).

Answers

0.5816 = 58.16% probability that it rains there in June at least 9 times in a decade.

For each June 9 in Florida, there are only two possible outcomes. Either it rains, or it does not. The probability of raining on June 9 of an year is independent of rain on June 9 on any other year, which means that the binomial probability distribution is used to solve this question.

---------------------------------------

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

In which $C_(n,x)$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_(n,x) = (n!)/(x!(n-x)!)$

And p is the probability of X happening.

---------------------------------------

0.86 probability of rain means that $p = 0.86$
A decade means 10 years, so $n = 10$

---------------------------------------

What is the probability that it rains there in June at least 9 times in a decade?

This is:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

$P(X = 9) = C_(10,9).(0.86)^(9).(0.14)^(1) = 0.3603$

$P(X = 10) = C_(10,10).(0.86)^(10).(0.14)^(0) = 0.2213$

Thus

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.3603 + 0.2213 = 0.5816$

0.5816 = 58.16% probability that it rains there in June at least 9 times in a decade.

A similar question is found at brainly.com/question/9631195

R - it is rain (probablity: 0.86)
N - it is not rain (probablity: 1-0.86 = 0.14)
You've got these cases:

R R R R R R R R R N
R R R R R R R R N R
R R R R R R R N R R
. . .
N R R R R R R R R R - it is 10 cases. Probablity each case is
(0.86)^9 * 0.14 - it is approximately 0.036 (9R and 1N - you multiply everything)

It is 10 cases so you have to multiply by 10 and you get 0.36

There is also eleventh case:

R R R R R R R R R R

Probablity is (0.86)^10 approximately 0.22

Add these cases and you'll get your probablity: 0.36 + 0.22 = 0.58

If a car travels at a speed of 25 mi/h for t hours, then travels 45 mi/h for m hours. What does the expression 25t + 45m represent

Answers

The expression of 25t +45m shows the total number of miles driven at both speeds. In order to solve this equation you would need to know the total number of hours driven in order to multiply that by the appropriate speed in terms of miles per hour.

Write in vertex form:

y = x2 - 8x + 19