Answer: (g-f)(x)=-4x
Explanation: According to the graph, line created by function f(x) passes through the points (1,-3) and (0,0) and similarly, line created by the function passes through the points (1,1) and (0,0).
Thus, we can find the equation of the lines with help of formula 
× 
so, equation of line created by function f(x)
y+3=
×(x-1)
y+3=
×(x-1)
y+3=-3x+3
y=-3x thus function f(x)=-3x
similarly, equation of line created by function g(x)
y=x thus function g(x)=x
Now, we have to find out, (g-f) (x)= g(x)-f(x)= -3x-x= -4x
If the dresses are chosen at random a probability tree can be constructed showing the probabilities of the various combinations that are possible. It shows the total probability of choosing a black, then white, or a white, then black dress is 1/9.
4.6 meters per second was her walking speed
G=gas
w=bottle of water
8g + 2w = 29
12g + 4w = 45
I'm going to use elimination to cancel out the variable w by multiplying the first equation by -2.
-16g - 4w = -58
12g + 4w = 45
-4g = -13
/-4 /-4
g = 3.25
Now plug it into an equation, any equation.
8 (3.25) + 2w = 29
26 +2w=29
w=1.5
Now to check, plug it into both equations if you want.
12 (3.25) + 4 (1.5)=45
39 + 6=45
One bottle of water is $1.50, while one gallon of gas is $3.25.
