Answer:
They are taking 12 2 credit courses
The are taking 4 1 credit courses
Step-by-step explanation:
x = 1 credit courses
y = 2 credit courses
The number of courses is 16
x+y = 16
The number of credits is 28 so multiply the course by the number of credits
1x+2y=28
Subtract the first equation from the second equation
x+2y =28
-x-y=-16
-----------------
y = 12
They are taking 12 2 credit courses
We still need to find the 1 credit courses
x+y = 16
x+12= 16
Subtract 12 from each side
x-12-12 = 16-12
x =4
The are taking 4 1 credit courses
The directrix of the parabola is 
<h3>How to determine the equation of the directrix?</h3>
The parabola equation is given as:

A parabola is represented as:

By comparing both equations, we have:
4p = 1/4 ==> p = 1/16
-k= 3 ==> k = -3
The directrix is represented as:
y = k - p
So, we have:

Take the LCM

Evaluate

Hence, the directrix of the parabola is 
Read more about parabola at:
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Answer:
600
Step-by-step explanation:
105/7 * x/40
7x=4,200
x=600
Here we get the statement:
"sec^-1(0.5) is undefined"
And we want to see if this is true or false, so let's use the properties that we know to find that this is false.
Remember that the sec function is defined as:

Then we will have:

Then is really trivial to see that:

Then we can conclude that the function is not undefined at 0.5, so the statement is false.
Below you can see the graph of the given function, and you will see that it is never undefined.
If you want to learn more, you can read:
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