Answer: y= x-2
Step-by-step explanation:
Perpendicularity entails the slope of line a is -1 divided by the slope of line b
m1= (-1/m2)
From y=Mx +c
We compare with x-4y=7
y=(1/4)x-7/4
Meaning m2= 1/4
m1= -1/(1/4)= -1*4= -4
((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1
x1= 2, y1= -4
((y-(-4))/(x-2))= -4
((y+4)/(x-2))= -4
Cross multiply
y+4= -4(x-2)
y= x-2
18/3=6
12/2=6
24/4=6
30/5=6
36/6=6
(y^2 + 7y +12) / (y^2+8y +15)
factor both equations:
(y+3)(y+4) / (y+3) (y+5)
cancel out common factors to get:
y+4 / y+5
Answer:
When number of games downloaded is at least 3
Step-by-step explanation:
Let x = number of games downloaded
Members = 50 + 2x
Non members = 20x
50 + 2x = 20x
50 = 20x - 2x
50 = 18x
x = 50/18
x = 2.78
At x = 2.78, both members and non members are paying the same amount
For members to make profits, the value of x must be greater than 2.78
Approximately x = 3
Check:
Members = 50 + 2x
= 50 + 2(3)
= 50 + 6
= 56
Non members = 20x
= 20(3)
= 60