Answer:
one solution is (0, -2)
Step-by-step explanation:
The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).
The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).
The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.
Answer:
s X s - formula for area of square.
where two faces meet - Edge
Flat pattern of a 3d shape - Net
Shape with 3 or more sides - Polygon
Answer:
x = 18
Step-by-step explanation:
7x - 26 = 5x + 10
7x - 26 - 5x - 10 =0
2x - 36 = 0
2x = 36
x = 18
Answer:
a. Short-Sleeve = 35
b. Long-Sleeve = 27
Step-by-step explanation:
Given data:
Total shirts sold = 62
short sleeved cost = 11 each
Long sleeved cost = 17 each
Total receipts = 844
<em>Let the count of short sleeved be X and Let the count of long sleeved be Y</em>
X + Y = 62 <em>(equation 1) from the total shirts sold</em>
11X + 17Y = 844 <em>(equation 2) from the total receipts</em>
<em>From equation 1</em> X = 62 - Y <em>(Equation 3)</em>
<em>Substituting equation 3 into equation 2</em>
11(62 - Y) +17Y = 844
682 -11Y + 17Y = 844
-11Y + 17Y = 844-682
6Y = 162
Therefore Y = 27
<em>Substituting Y into equation 3</em>
X = 62 - Y
X = 62 - 27
X = 35