Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is
Therefore, the equations of Nancy and Juan are and respectively.
Answer:
Points apply to the given situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
Step-by-step explanation:
We have given,
A puppy is running at a rate = 4 feet per second
A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.
So, time taken by puppy to reach the wall =
i.e. time take by puppy to reach the wall = = 5 seconds
Now we write the points that apply to this situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
<h3>
Answer: Choice A) <9,0></h3>
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule 
. We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation 
is shortened to the translation vector notation 
. In this case, a = 9 and b = 0.
22.5% voted for trump for president
Using it's concept, it is found that there is a 0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, 40% of the consoles bought are of the Suny Playcom series, and of those, 1% are defective, hence the probability is given by:
p = 0.4 x 0.01 = 0.004
0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
More can be learned about probabilities at brainly.com/question/24808124
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