Determine the solution to f(x) = g(x) using the following system of equations: f(x) = 3x + 12 g(x) = −9.5x − 13

F(x) = g(x)

f(x) = 3x + 12
g(x) = -9.5x -13

Since both are equal. then

3x + 12 = -9.5x - 13
3x + 9.5x = -13 - 12
12.5x = - 25
12.5x/12.5 = -25/12.5
x = -2

to check:
f(-2) = 3(-2) + 12 = -6 + 12 = 6
g(-2) = -9.5x - 13 = -9.5(-2) -13 = 19 - 13 = 6

f(x) = g(x)
f(-2) = g(-2)
6 = 6

At a constant it will take one hour to travel 32 mi.at that speed it will take 1/2 hr to travel the remaining 16 mi.it will take 1+1/2 hr to travel the 48mi @ 32mph.so 1 hr = 60 min& 1/2 hr = 30 min1+1/2 hr = 90 min.there are 60s in each 90 × 60 = 3600 seconds.the real question seriously is he why are they driving so slow? ! lol.