1) 7x + 3 > 10
7x > 10 - 3
7x > 7
x > 1
2) x/4 = 3/8
8x = 3(4)
8x = 12
x = 12/8
x = 3/2
Transformations:
1.) The -4 moves your y-intercept down 4 units. Without the -4, your y-intercept would be (0,-1)
2.) The -2 in the fraction moves your x-intercept to the to the right 2 units. Without the -2, your x-intercept would be (1/2,0)
Domain:
(-∞,2) ∪ (2,∞)
Range:
(-∞,-4) ∪ (-4,∞)
Vertical Asymptote:
x=2
Horizontal Asymptote:
y=-4
X-Intercept:
(5/2,0)
Y-Intercept:
(0,-5)
Answer:
Josie bought 40 adult tickets and 32 children tickets.
Step-by-step explanation:
x+y=72
22x+10y=1200
-----------------------
x=72-y
22(72-y)+10y=1200
1584-22y+10y=1200
1584-12y=1200
12y=1584-1200
12y=384
y=384/12=32
x+32=72
x=72-32=40
x=40, y=32. (40, 32)
