2x+12=3x-31. we add 31 to both sides 2x+33=3x. we subtract 2x on both sides and get 33=x so x is 33
Answer:
The length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet.
Step-by-step explanation:
The total area, in square feet, of a rectangular stage that has been widened by x feet, is represented by 1,900 + 76x.
Now, factorizing the expression for the area we get,
A = 1900 + 76x
⇒ A = 76(25 + x)
Therefore, from the above expression, we can assume that the length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet. (Answer)
Thought Process:
The solution to this can be found through plotting both of these functions and shading each region above or below the lines (as per the greater and less than signs given)
the region that overlaps both of the above shaded region is the solution set for all ordered pairs that satisfy the two inequalities.
Solution:
let's start by plotting
it's the same as plotting , but '>' sign suggests to shade everything above this line.
<u>side note:</u>
'' excludes every ordered pair in the line,
'' includes every ordered pair in the line,
coming back to our solution:
now let's plot the other equation
it's the same as plotting , but '<' sign suggests to shade the area below this line.
The solution set is the area that is overlapped by the two shaded regions.
So every ordered pair (or coordinate (x,y)) that lies within this overlapped shaded region, excluding the points that lie on the lines themselves, satisfy the given two inequalities
You mean their sum is 12?
A) x + y = 12
B) x -y = 4 then we add both equations:
2x = 16
x = 8
y = 4
Answer:
9+(2/x)
Step-by-step explanation: