Answer:
369 students have taken a course in either calculus or discrete mathematics
Step-by-step explanation:
I am going to build the Venn's diagram of these values.
I am going to say that:
A is the number of students who have taken a course in calculus.
B is the number of students who have taken a course in discrete mathematics.
We have that:

In which a is the number of students who have taken a course in calculus but not in discrete mathematics and
is the number of students who have taken a course in both calculus and discrete mathematics.
By the same logic, we have that:

188 who have taken courses in both calculus and discrete mathematics.
This means that 
212 who have taken a course in discrete mathematics
This means that 
345 students at a college who have taken a course in calculus
This means that 
How many students have taken a course in either calculus or discrete mathematics

369 students have taken a course in either calculus or discrete mathematics
Answer: THE GRAPH IS ATTACHED.
Step-by-step explanation:
We know that the lines are:

Solving for "y" from the first line, we get:

In order to graph them, we can find the x-intercepts and the y-intercepts.
For the line
the x-intercepts is:

And the y-intercept is:

For the line
the x-intercepts is:

And the y-intercept is:

Now we can graph both lines, as you can observe in the image attached (The symbols
and
indicates that the lines must be dashed).
By definition, the solution is the intersection region of all the solutions in the system of inequalities.
Answer:
Step-by-step explanation:
i'm pretty sure that you will have to add it.
so, when we add two fractions such as 3/4 + 3/4, we make sure that the denominators (the bottom numbers) are the same and then we simply add the numerators (the top numbers).
in this problem, the denominators are the same so we will simply add 3+3 which equals to 6/4. the denominator will remain the same.
<em>answer:</em>
3/4 + 3/4 = 6/4
<u>i hope this is helpful. </u>
His equation could be written in quadratic form, which is ax^2+bx=c