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.
(4,4).........................
Answer:
In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.
Step-by-step explanation:
In addition, the corresponding segment sides of the pre-image and image are parallel.
Answer:
d. each trial has exactly two outcomes whose probabilities do not change
Step-by-step explanation:
A binomial experiment is one where there are exactly two outcomes for each trial and probability for getting success is constant in each trial.
In other words, each trial is independent of the other.
The trials need not be continuous nor time between trials to be constant.
Since trials are to be independent, each trial cannot influence the next.
Only option d is right.
d. each trial has exactly two outcomes whose probabilities do not change
Examples are tossing of coins, throwing dice, drawing cards or balls with replacement, etc
