Answer:
x < -7
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
Distributive Property:
8x + 8 < 6x - 6
Subtract on Both Sides:
8x + 8 < 6x - 6
- 6x -6x
--------------------
2x + 8 < - 6
-8 -8
---------------
2x < -14
Divide on Both Sides:
2x < -14
--- ---
2 2
x < -7
Answer:
Answer: 3 1/2 and -10 1/2 are the two numbers.
Step-by-step explanation:
Let x and y be the two unknown numbers.
x+y=-7 [Given]
x-y=14 [Given]
x-y=14 [Given]
x=y+14 [Add y to both sides]
x+y=-7 [Given]
(y+14)+y=-7 [Subtitution]
2y+14=-7 [Combine like terms]
2y=-21 [Subtract 14 from both sides]
y=-21/2 [Divide both sides by 2]
y=-10 1/2 [Division]
x-y=14 [Given]
x=y+14 [Add y to both sides]
x=-10 1/2 + 14 [Substitution]
x= 3 1/2 [Addition]
Check:
x+y=-7 [Given]
3 1/2 + -10 1/2?=-7 [Substition]
-7=-7 [Addition]
QED
x-y=14 [Given]
3 1/2 - -10 1/2?=14 [Substitution]
3 1/2 + 10 1/2?=14 [Change the sign of the subtrahend and add]
14=14 [Addition]
QED
Answer: 3 1/2 and -10 1/2 are the two numbers.
Answer:
<h2>
y = 3x - 16</h2>
Step-by-step explanation:
Equation of line with a given slope of a and containing a given point (x₀, y₀):
y - y₀ = a(x - x₀)
a = 3, x₀ = 5, y₀ = -1
So:
y - (-1) = 3(x - 5)
y = 3x - 15 - 1
<u>y = 3x - 16</u>
Answer:
500,000
250,000
125000
62,500
31,250
15,625
Equation : 1000000 / n^2
Step-by-step explanation:
Keep on dividing by 2
Answer:
x³=27
cuberoot√x³=cuberoot of 27
x=3