60. set up ratios 45/75 = x/100
-x^2+7x-3=0 multiply the expression by -1
x^2-7x+3=0 we will complete the square so subtract 3 from both sides
x^2-7x=-3 now halve the linear coefficient, -7/2, square it 49/4, and add that to both sides...
x^2-7x+49/4=49/4-3 now the left side is a perfect square...
(x-7/2)^2=(49-12)/3
(x-7/2)^2=37/3 take the square root of both sides...
x-7/2=±√(37/3) now add 7/2 to both sides...
x=7/2±√(37/3)
Answer:
j
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
As the function approach infinity
-1/(x-1) approach infinity
(x-1)/-1 approaches 0
x-1 approaches 0
x approaches 1.
Hence x=1 is the vertical asymptote
Answer: 60mph
Step-by-step explanation:
500-300 = 200
200 = distance traveled in 2 hrs
100 = distance traveled every hour
100=2x+20, x being the slower train
80=2x
x=40
40+20 = 60, the speed of the faster train