-5 ≤ 3m + 1 < 4
- 1 - 1 - 1
-6 ≤ 3m < 3
3 3 3
-2 ≤ m < 1
Solution Set: {m|-2 ≤ m < 1}, {m|m ≥ -2 and m < 1}, [-2, 1)
The answer is A.
Answer: x=−2.15
Step-by-step explanation : Alright Let's solve your equation step-by-step.
0.5x−2=1.5x+0.15
Step 1: Subtract 1.5x from both sides.
0.5x−2−1.5x=1.5x+0.15−1.5x
−x−2=0.15
Step 2: Add 2 to both sides.
−x−2+2=0.15+2
−x=2.15
Step 3: Divide both sides by -1.
−x
−1
=
2.15
−1
x=−2.15<em> hope this helped!- Alex</em><u> </u>
Answer:
x = 3 ± ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Step-by-step explanation:
x² - 6x - 4 = 0 ( add 4 to both sides )
x² - 6x = 4
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = 4 + 9
(x - 3)² = 13 ( take square root of both sides )
x - 3 = ±
( add 3 to both sides )
x = 3 ± ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Answer:
Width = 16 m
Length = 4 m
Step-by-step explanation:
The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x
Area of a rectangle = Length × Width
L = W - 12
Hence:
64 = (W - 12) × W
64 = W² - 12W
W² - 12W - 64 = 0
Factor using
(W + 4)(W - 16) = 0
Width = 16m
Length = W - 12
Length = 16 m - 12 m
= 4 m