50%. students (in percent) who passed the second exam also passed the first exam.
Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.
Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.
Thus, both tests were passed by 40 of the 80 pupils who passed the second one:
40/80 = 1/2 = 50%.
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No, the two lines do NOT intersect because they are parallel lines (see the attached image). Both lines have a slope of 2, or 2/1. Recall that slope = rise/run. So this means that we go up 2 and over to the right 1. Lines with the same slope but different y intercepts means that they are parallel. Parallel lines never cross.
In short, the final answer is choice D.
You plug in the values for x in each respective equation.
a) f(3) = 3 + 1 which equals: 4.
so, f(3) = 4
b) g(3) = (3)^2 - 3 which equals 9 - 3, which equals 6.
so, g(3) = 6.
hope this helps! (:
Answer:

Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get

