Answer:

Step-by-step explanation:
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Answer:
14
step by step explanation:
14
Answer:
<em>The SUV is running at 70 km/h</em>
Step-by-step explanation:
<u>Speed As Rate Of Change
</u>
The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.
This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)
We'll compute :


We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

Thus we have

Solving for x'

Since y'=-60


The SUV is running at 70 km/h
Answer:
The system of inequalities is

The solution in the attached figure
Step-by-step explanation:
<u><em>The question is</em></u>
Write a system of linear inequalities.
Le
x ---> number of scarves knitted per week
y ---> number of knitted sweaters per week
we know that
Mary would like to spend no more than 40 hours per week knitting
The word "No more" means "less than or equal to"
so
----> inequality A
Mary would like to knit at least 5 items per week
The word "at least" means "greater than or equal to"
----> inequality B
Solve the system by graphing
The solution is the triangular shaded area
see the attached figure