Answer:
2x -5, like that you didn't put enough.
K is equal to 4 because g(x) is a parrallel line to f(x)
Answer:

Step-by-step explanation:
To find the inverse of a function, first let y= f(x).
f(x)= 2x +3
Let y= f(x).
y= 2x +3
Next, make x the subject of formula.
y -3= 2x
Divide both sides by 2:

Replace x with f⁻¹(x) and y with x to obtain the inverse of the function.

Thus, the 2nd option is correct.
Answer:
(2,5)
or x=2, y=5
Step-by-step explanation:
3x+2y=16
substitute y =x+3 every place you see a y
3x + 2(x+3) = 16
distribute
3x + 2x +6 = 16
combine like terms
5x+6 = 16
subtract 6 from each side
5x+6 -6 =16-6
5x =10
divide by 5
5x/5 = 10/5
x = 2
now we need to find y
y = x+3
y = 2+3
y=5
(2,5)
or x=2, y=5
Answer:
3π/2
Step-by-step explanation:
It may help you to realize that the (x, y) coordinates of the point on the unit circle are ...
(x, y) = (cos(θ), sin(θ))
Since you want sin(θ) = -1, look for the point on the unit circle that has a y-value of -1. It is the point (0, -1) at the bottom of the circle, where the angle is shown as ...
θ = 3π/2