Answer:
Option A
Step-by-step explanation:
System of the inequalities is,
y ≥ 2x
y < x + 4
By satisfying these inequalities with the points given in the options we can get the answer.
Option (A). (2, 5)
y ≥ 2x
5 ≥ 2(2)
5 ≥ 4
True.
y < x + 4
5 < 2 + 4
5 < 6
True
Therefore, Option (1) is the answer.
Option (B) (1, 6)
y ≥ 2x
6 ≥ 2(1)
6 ≥ 2
True.
y < x + 4
6 < 1 + 4
6 < 5
False.
Therefore, it's not the solution.
Option (C) (2, 3)
y ≥ 2x
3 ≥ 2(2)
3 ≥ 4
False.
y < x + 4
4 < 2 + 4
4 < 6
True.
Therefore, It's not the solution.
Option (D) (1, 5)
y ≥ 2x
5 ≥ 2(1)
5 ≥ 4
True.
y < x + 4
5 < 1 + 4
5 < 5
False.
Therefore, It's not the solution.
9514 1404 393
Answer:
triangle = 8
Step-by-step explanation:
The right side can be factored so that you have ...
8 x 4 = (triangle x 7) - (triangle x 3)
8 x 4 = triangle x (7 - 3) . . . . use the distributive property
8 x 4 = triangle x 4 . . . . . . simplify
8 = triangle . . . . . . . . . . divide both sides by 4
Answer:
(11, 11)
Step-by-step explanation:
Solve by substitution:
1. set the equations equal to each other
2. simplify
3. substitute the value of x into an equation
43. 125 milliliters
45. 9 tsp
49. 6 tsp
Answer:
x=2
Step-by-step explanation:
4x−7(2−x)=3x+2
4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)
4x+−14+7x=3x+2
(4x+7x)+(−14)=3x+2(Combine Like Terms)
11x+−14=3x+2
11x−14=3x+2
Step 2: Subtract 3x from both sides.
11x−14−3x=3x+2−3x
8x−14=2
Step 3: Add 14 to both sides.
8x−14+14=2+14
8x=16
Step 4: Divide both sides by 8.
x=2
