Answer:
The ball reached its maximum height of (
) in (
).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
Now factor out the coefficient of the quadratic term:
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
Now take the balancing term out of the parenthesis:
Simplify:
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
Answer:
4/15
Step-by-step explanation:
Bag A
3 red marbles and 6 blue marbles. = 9 marbles
P(blue) = blue/total =6/9 = 2/3
Bag B
6 green marbles and 4 yellow marbles. = 10 marbles
P(yellow) = yellow/total=4/10 = 2/5
P(blue,yellow) = 2/3 * 2/5 = 4/15
The probability of not surviving a head-on car accident is: 0.903
Step-by-step explanation:
The probabilities of occurrence and non-occurrence of an event add up to one.
If p is the probability that an even will happen and q is the probability that it will not happen
Then
Here,
Probability of surviving = p = 0.097
Probability of not surviving = q = ?
The probability of not surviving a head-on car accident is: 0.903
Keywords: Probability, Inverse
Learn more about probability at:
#LearnwithBrainly
Step-by-step explanation:
For an absolute value function, the graph will look like an arrow with a sharp inflection point.
Reciprocal function will tend towards a limit when stretched to infinity.
Cube root and square root functions do not tend towards infinity at x = 0, because it is either 0 or the constant value.
The best answer here is Reciprocal. (B)
Answer: 3 meters downward per second
Step-by-step explanation:
If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.
15/5 = 3
3 meters per second
