!z!=a→z=a or z=-a; z=4x+3, a=9+2x
!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3
Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution
2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2
Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution
Answer:
x = -2 or 3
Answer:
x = 1 
Step-by-step explanation:
Expressing the diagram as an equation , that is
6x - 3 = 4
=
( multiply through by 2 to clear the fraction )
12x - 6 = 9 ( add 6 to both sides )
12x = 15 ( divide both sides by 12 )
x =
=
= 1 
See attachment for graph.
Notes: graph each line as if they are "equal".
Then draw the lines as:
dashed for < and >
solid for ≤ and ≥
Next, choose a test point and plug it into both equations. If the result is True for BOTH equations, then shade that section.
Answer:
66
Step-by-step explanation:
The total number of lockers that were full in the morning was 72. Since 6 were empty in the afternoon, 72-6 = 66 full lockers
Answer: 14 tickets weren't sold.
Step-by-step explanation:
14 times 15 = 210
So there are 210 seats in the cinema.
The total is $1274 so you would divide
which equals 196
Your final step is to subtract
210 (the total seats) minis 196 (seats sold) equals 14 seats not sold
HOPE THIS HELPED!!!!