Answer:
The answer is: the second one
Step-by-step explanation:
(2x + 2)/y = 4w + 2
pass y to the right side 2x + 2 = y(4w + 2)
expand 2x +2 = 4wy + 2y
pass 2 to the right 2x = 4wy + 2y -2
pass 2 to the right x = (4wy + 2y - 2)/2
simplify x = 2wy + y - 1 or = 2yw + y -1
Answer: C
Step-by-step explanation:
-10x + 48 = -6x+24
48 - 24 = -6x + 10x
24 = 4x
x = 24/4
x = 6
Answer:
X^2 -5x -36
Step-by-step explanation:
formula of an area of a rectangle: ab
a-length
b-width
(x+4)*(x-9) = x^2 -5x -36
Step-by-step explanation:
a). A = {x ∈ R I 5x-8 < 7}
5x - 8 < 7 <=> 5x < 8+7 <=> 5x < 15 =>
x < 3 => A = (-∞ ; 3)
A ∩ N = {0 ; 1 ; 2}
A - N* = (-∞ ; 3) - {1 ; 2}
b). A = { x ∈ R I 7x+2 ≤ 9}
7x+2 ≤ 9 <=> 7x ≤ 7 => x ≤ 1 => x ∈ (-∞ ; 1]
A ∩ N = {0 ; 1}
A-N* = (-∞ ; 1)
c). A = { x ∈ R I I 2x-1 I < 5}
I 2x-1 I < 5 <=> -5 ≤ 2x-1 ≤ 5 <=>
-4 ≤ 2x ≤ 6 <=> -2 ≤ x ≤ 3 => x ∈ [-2 ; 3]
A ∩ N = {0 ; 1 ; 2 ; 3}
A - N* = [-2 ; 3) - {1 ; 2}
d). A = {x ∈ R I I 6-3x I ≤ 9}
I 6-3x I ≤ 9 <=> -9 ≤ 6-3x ≤ 9 <=>
-15 ≤ -3x ≤ 3 <=> -5 ≤ -x ≤ 3 =>
-3 ≤ x ≤ 5 => x ∈ [-3 ; 5]
A ∩ N = {0 ; 1 ; 2 ; 3 ; 4 ; 5}
A - N* = [-3 ; 5) - {1 ; 2 ; 3 ; 4}
