2x - 3(x-1) = -1
2x -3x + 3 = -1
-1x + 3 = -1
-1x = -4
x = 4
y = 4 - 1
y = 3
Answer:
Cost of Material per square foot = $1.7
Step-by-step explanation:
Given:
Length = 24
Width = 12
Height = 6.5
Find:
Cost of Material per square foot
Computation:
TSA of pit = 2[bh + hl] + lb
TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)
TSA of pit = 2[78+156] + 288
TSA of pit = 756 square foot
Cost of Material per square foot = 1,285.20 / 756
Cost of Material per square foot = $1.7
75% = 3/4
3/4 of 180 = 135
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: