What is -21 minus 3x in factored form?
1 answer:
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Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²
Differentiating with respect to t
Since the car driving towards the intersection at 13 m/s.
so,
Now
= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Given:
Entrance fee = $5.50
Additional fee = $1.25 for each activity.
Total amount spend at fair = $30
To find:
The equation that represents the problem.
Solution:
Let the number of activities be .
Additional fee for 1 activity =
Additional fee for x activity =
Total fee = Entrance fee + Additional fee for x activity
=
It is given that Kevin has at most $30 to spend at the fair. So, total fee must be equal to $30.
Therefore, the require equation is .
Note: The inequality for the given problem is .