The system of linear inequalities x + 10y ≤ 80, x ≥ 30 and y ≤ 4 is represented in a graph below
<h3>Graph of Linear Inequality</h3>
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
To solve this problem, we would require the use of graph which can easily be done with a graphing calculator.
x + 10y ≤ 80
x ≥ 30
y ≤ 4
The graph of the inequalities is attached below
Learn more on graph of linear inequality here;
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Answer:
equation of a line:
y = mx+c
1) find the gradient, m
2) find y-intercept, c using coordinate (1,-4)
y = mx + c
-4 = 0(1) + c
c = -4
the equation of line:
y = mx+c
y = 0(x) + c
y = c
y = -4
Answer:
h = -4
Step-by-step explanation:
7h-5(3h-8) = 72
Distribute
7h - 15h +40 = 72
Combine like terms
-8h +40 = 72
Subtract 40 from each side
-8h+40-40 = 72-40
-8h = 32
Divide each side by -8
-8h/-8 = -32/-8
h = -4
Answer:
7/10
Step-by-step explanation:
Answer:
480m
Step-by-step explanation:
First we have to find the perimeter of the field.
We know that the area is 144m and that the field is a square.
Since a squares sides are all equal, we can do 
, which is 12m.
So, one side of the field is 12m; now we just find the perimeter which is easy since its a square. 12*4=48m
If Andrea walked around it 10 times, then we just multiply the perimeter by 10
48*10=480m
