Graph the system of linear inequalities on the coordinate plane.
Shade the solution to the system of inequalities.
Pick a point and show your solution is correct is given below
Step-by-step explanation:
1.When you are graphing inequalities, you will graph the ordinary linear functions just like we done before. The difference is that the solution to the inequality is not the drawn line but the area of the coordinate plane that satisfies the inequality.
2.The linear inequality divides the coordinate plane into two halves by a boundary line (the line that corresponds to the function). One side of the boundary line contains all solutions to the inequality
3.The boundary line is dashed for > and < and solid for ≥ and ≤.
4.Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
5The 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.
Answer:
P = 10x - 27619
The company must produce and sell 2762 number of widgets each month to break-even.
Step-by-step explanation:
Let, x represents the number of widgets produced and sold each month.
So, the total making cost for x widgets is = $(27619 + 4x)
Now, if each widget is sold at $14, then the selling price is $14x.
So, the profit that the company makes by selling x widgets is given by
P = 14x - (27619 + 4x) = 10x - 27619 ........... (1)
Now, for break-even P must be equal to zero.
So, 10x - 27619 = 0
⇒ x = 2761.9 ≈ 2762
Therefore, the company must produce and sell 2762 number of widgets each month to break-even. (Answer)
Answer:
(x - 10)² + y² = 29
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (10, 0), thus
(x - 10)² + (y - 0)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, 0) and (x₂, y₂ ) = (5, 2)
r =
=
= =
Thus
(x - 10)² + (y - 0)² = ( )², that is
(x - 10)² + y² = 29 ← equation of circle
1000 meters in a kilo 5x1000=5000 and 5000/200 is 25
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