x^2 - 3x -28 ≥ 0
factor
(x-7) (x+4) ≥ 0
x=7 x=-4
we have three regions where the answers can lie
x<-4 between -4 and 7 and x>7
pick a point and see if it works
x=-10
(-10-7) (-10+4) ≥ 0
negative * negative is greater than 0 so this is a solution x< -4
x=0
(0-7) (+4) ≥ 0
negative * positive is less than 0 so this is not a solution
x=10
(10-7) (10+4) ≥ 0
positive * positive is greater than 0 so this is a solution x>7
We have two regions that work
x<-4 and x>7
Let x be the distance from Syracuse where they pass. The first car travels a distance of x in time x/65 while the second car travels a distance 240-x in time (240-x)/55. They pass at the same time after leaving their starting points so x/65=(240-x)/55.
Cross-multiplying we get: 55x=65(240-x)=15600-65x, 120x=15600, x=15600/120=130 miles.
They pass 130 miles from Syracuse.
3² equals nine, so the square root of eight has to be less than three.
The square root of eight is 2.82 rounded to the nearest hundredth. So 3 is approximately 0.18 more than the square of eight.
Hope this helps
~DragonGirl :)
the answer would be x=−0.870452,0.712370
