Answer:
2
Step-by-step explanation:
x + 2y = 14
2y = -x + 14
y = -1/2 x + 7
m = -1/2
product of slopes is -1
so perpendicular slope is 2
Answer:
she added 2 instead of subtracting it. the answer is x=4
Step-by-step explanation:
10+2=12
12/2=6
Remark
The reason you are not getting many replies to this is an uncertainty about f(x). We do not know if you mean f(x) = 2/(x - 6) or f(x) = (2/x) - 6. We'll try it both ways.
First Way f(x) = 2/(x - 6)
f(x = y = 2/(x - 6) Interchange x and y
x = 2 / (y - 6) Multiply both sides by y - 6
x(y - 6) = 2 Divide by x
y - 6 = 2/x Add 6 to both sides.
y = 2/x + 6 Which is close to g(x) but it is not the same thing, even if you use x as a common denominator. That would give you

Second Way: f(x) = (2/x) - 6
f(x) = y = (2/x) - 6 Interchange x and y
x = (2/y) - 6 Add 6 to both sides
x + 6 = 2/y Multiply both sides by y
y(x + 6) = 2 Divide by sides by (x + 6)
y = 2/(x + 6)
Comment
These do not look anything alike so g(x) and f(x) are not inverses.
Answer:
5.58*10^7
Step-by-step explanation:
Recall that 10^a*10^b = 10^(a+b). Thus, 10^5*10^2 = 10^7.
Thus, (1.8 x 10^5)(3.1 x 10^2) = (1.8)(3.1)*10^7 = 5.58*10^7