the slope is down 2 over 8 so
m=-2/8 = -1/4
a point on the graph is (-5,1)
so in point slope form
y-y1 = m(x-x1)
y-1 = -1/4 (x+5)
Choice C
Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.
- <span>A </span>projectile<span> is </span>thrown upward so<span> that </span>its distance above<span> the </span>ground after t seconds<span> is </span>given<span> by the </span>function h(t<span>) = - 16t² + </span>640t<span>. </span>After<span> how </span>many seconds<span> does the </span>projectile<span>take</span><span> to reach </span>its<span> maximum height? I made the </span>function<span> .</span>
Y = .7x + 29
x = miles driven and, y = total cost of renting the truck