Explanation
Problem #2
We must find the solution to the following system of inequalities:

(1) We solve for y the first inequality:

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

The solution to this inequality is the set of all the points (x, y) over the line:

This line has:
• slope m = 3/2,
,
• y-intercept b = -2.
(2) We solve for y the second inequality:

The solution to this inequality is the set of all the points (x, y) below the line:

This line has:
• slope m = -1/3,
,
• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,
• and below the line from point (2),
we get the following graph:
Answer
The points that satisfy both inequalities are given by the intersection of the blue and red regions:
Answer:
5
Step-by-step explanation:
d= √(5-1)^2+(1-4)^2
d= √4^2+(-3)^2
d= √16+9
d=√25
d=5
C: translation
i seen there wasn't any answer so i decided to get it wrong for the good people that use brainly i got you guys
The volume for a pyramid is

, where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this:

. Simplifying the right side we have

. Multiply both sides by 18 to get rid of the fraction and we have

, so x = 117.575
Answer:

Step-by-step explanation:
To find the inverse of a function f (x) follow the steps below:
1) Make y = f (x)

2) Solve for the variable x



3) Exchange the variable x with the variable y

4) Make 

Finally, the inverse of the function f (x) is: 