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2 answers:
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Given:
Speed = 6 miles per second
If the Saturn revolves 6 miles in 1 second then the speed is:
So speed in minutes is 360 miles per min.
In 3 minutes traveling distance is:
Given function is
now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into
so RHD=
Now set both equal
k=-0.47
<u>Hence final answer is -0.47.</u>
<h2>Answer </h2>
D. 6x>_360; x>_60
<h2>Explanation</h2>Let be amount you will save each weeks
Since we know that you are saving over a period of 6 weeks, you will save .
We also now that your goal is to save at least $360.00 over the period of 6 weeks, so saving more than $360.00 will be very desirable, but the goal is to save $360.00. We can rephrase this as: You need to save $360.00 or more; we can say the same using the inequality symbol (greater on equal than)
Now we can combine our tow parts using the inequality symbol:
To simplify divide both sides by 6:
You need to save at least $60 per week, so the correct answer is D. 6x>_360; x>_60