Answer:
(2,2) , (0,0), (5,3)
Step-by-step explanation:
To check which points are solution to the system of inequalities, substitute the value of those points in the two inequalities and make sure are both true.
y ≤ x
y > -x +1
Point (x=2, y=2)
2 ≤ 2 ✅
2 > -2 +1 ⇒ 2 > -1 ✅
Because both inequalities are true using the coordinates of this point then the point IS a solution to the system of inequalities.
Point (x= -2, y=2)
2 ≤ -2 ❌
We stop checking because we need both inequalities to work. This point IS NOT a solution.
Point (x=0, y=0)
0 ≤ 0 ✅
0 > -0 +1 ⇒ 2 > 1 ✅
This point IS a solution.
Point (x=0, y=5)
5 ≤ 2 ❌
This point IS NOT a solution.
Point (x=2, y= -2)
-2 ≤ 2 ✅
-2 > -2 +1 ⇒ -2 > -1 ❌
This point IS NOT a solution.
Point (x=5, y=3)
3 ≤ 5 ✅
3 > -5 +1 ⇒ 3 > -4 ✅
This point IS a solution.
Point (x=4, y= -3)
-3 ≤ 4 ✅
-3 > -4 +1 ⇒ -3 > -3 ❌
This point IS NOT a solution.
Point (x=-2, y=-2)
-2 ≤ -2 ✅
-2 > - -2 +1 ⇒ -2 > 2+1 ⇒ -2 >3 ❌
This point IS NOT a solution.
X + y = 22,102
.11x = .07y + 913.46 = x= (7/11)y + 8304.18
((7/11)y + 8304.18) + y = 22,102
(18/11)y = <span>13797.82
</span>
y= 13797.82/(18/11)
y=8432.00
8,432.00 dollars are invested at 7%
13,670.00 dollars are invested at 11%
Check
.07 x 8432= 590.24
.11 x 13,670 = 1503.70
1503.70 - 590.24 = 913.46
Answer:
Each girl gets 2/3 yd of ribbon.
Step-by-step explanation:
12 2/3=38/3
(38/3)/19
(38/3)(1/19)
(2/3)(1/1)=2/3
9n is the answer to this question
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