Answer:
Step-by-step explanation:
The vertex form of an equation of a parabola y = ax² + bx + c:
(h, k) - vertex
We have the equation:
Substitute:
Finally:
Answer:
The correct answer is certain with probability equal to 1.
Step-by-step explanation:
Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.
We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.
Here the experiment is picking a blue card from a bag containing all blue cards.
Possible outcomes are all the cards colored blue in the bag.
Total outcomes are also all the blue cards in the bag.
∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.
The rates that are equivalent to this rate is 90 pages/hr
<h3>Rate of change</h3>
The rate is the number of pages Michael read in 1 hour.
If he read 135 pages in 1 1/2 hours then;
To determine the rate, we will have:
Divide both expressions:
135/x = 1.5/1
1.5x = 135
x = 135/1.5
x = 90
Hence the rates that are equivalent to this rate is 90 pages/hr
Learn more on rate here: brainly.com/question/119866
Answer:
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Answer:
2.8 hours
Step-by-step explanation:
Distance = rate * time
If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.
If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.
The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:
80t + 90t = 476 and
170t = 476 so
t = 2.8 hours
