Answer:
Step-by-step explanation:
Rearrange each function to solve for x.
Switch x and y,
The resulting equation is the inverse function.
A:
f(x) = y = 5+x
x = y-5
y = x-5
f⁻¹(x) = x-5
g(x) = 5-x ≠ f⁻¹(x)
g(x) is not the inverse of f(x).
:::::
B:
f(x) = y = 2x-9
x = (y+9)/2
y = (x+9)/2
f⁻¹(x) = (x+9)/2
g(x) = (x+9)/2 = f⁻¹(x)
g(x) is the inverse of f(x).
:::::
C:
f(x) = y = 2/x - 6
x = 2/(y+6)
y = 2/(x+6)
f⁻¹(x) = 2/(x+6)
g(x) = (x+6)/2 ≠ f⁻¹(x)
:::::
D:
f(x) = y = x/3 + 4
x = 3y - 12
y = 3x - 12
f⁻¹(x) = 3x - 12
g(x) = 3x - 4 ≠ f⁻¹(x)
g(x) is not the inverse of f(x).
x = 9
Since M is the midpoint of XY:
XM = MY
XM = 2x + 11
MY = 5x - 16
2x + 11 = 5x - 16
5x - 2x = 11 + 16
3x = 27
x = 27/3
x = 8
Learn more here: brainly.com/question/18315903
Answer:
After 900 minutes
Step-by-step explanation:
when we convert the velocities of the ships into miles/ min we get
The equations determining the distances of the ships from the port M (set at x=0) are
(for 45mph ship)
(for 36mph ship)
The solution to these equation lie at t= 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.
Answer:62 feet
Step-by-step explanation:
1 yard=3 feet
20 yard=20 x 3=60 feet
20 yards=60 feets
20 yards and 2 feets=60 feet + 2 feet
20 yards and 2 feets=62 feet
