Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
Answer:
Your annual expected value is -$550.
Step-by-step explanation:
0.002 probability that you will total your car.
If you total your car, you pay the insurance of $600, but you get the $25,000 insurance. So in total, the net value will be $24,400.
1-0.002 = 0.998 probability that you will not total your car.
In this case, you lose $600.
What is your annual expected value?
Multiply each net value by it's probability.
E = 0.002*24400 - 0.998*600 = -550
Your annual expected value is -$550.
(X^2 -5x+6)(x-5) = x^3- 10x^2 +31x -30
Answer:
Rate or speed=3 Miles per hour
Step-by-step explanation:
Brad walked 2.5 miles in 5/6 of an hour.
Distance covered by Brad = 2.5 miles
Distance covered by Brad= 2 1/2 miles
Distance covered by Brad= 5/2 miles
Time taken to cover the distance = 5/6 of an hour
His rate of walking or how fast he walks is determined by the formula
Rate or speed= distance/time
Rate or speed=( 5/2)/(5/6)
Rate or speed= (5/2)*(6/5)
Rate or speed=6/2
Rate or speed=3 Miles per hour